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Nereid from space: Rotation, size and shape analysis from Kepler/K2, Herschel and Spitzer observationsJan 11 2016In this paper we present an analysis of Kepler K2 mission Campaign 3 observations of the irregular Neptune satellite, Nereid. We determined a rotation period of P=11.594(+/-)0.017 h and amplitude of dm=0.0328(+/-)00018, confirming previous short rotation ... More

An UXor among FUors: extinction related brightness variations of the young eruptive star V582 AurDec 13 2017V582 Aur is an FU Ori-type young eruptive star in outburst since $\sim$1985. The eruption is currently in a relatively constant plateau phase, with photometric and spectroscopic variability superimposed. Here we will characterize the progenitor of the ... More

Activation cross-section measurement of proton induced reactions on ceriumMar 22 2018In the framework of a systematic study of proton induced nuclear reactions on lanthanides we have measured the excitation functions on natural cerium for the production of 142,139,138m,137Pr, 141,139,137m,137g,135Ce and 133La up to 65 MeV proton energy ... More

Properties of the irregular satellite system around Uranus inferred from K2, Herschel and Spitzer observationsJun 21 2017Aug 01 2017In this paper we present visible range light curves of the irregular Uranian satellites Sycorax, Caliban, Prospero, Ferdinand and Setebos taken with Kepler Space Telescope in the course of the K2 mission. Thermal emission measurements obtained with the ... More

Intrinsic risk measuresOct 27 2016Monetary risk measures are usually interpreted as the smallest amount of external capital that must be added to a financial position to make it acceptable. We propose a new concept: intrinsic risk measures and argue that this approach provides a direct ... More

An elementary quantum mechanics calculation for the Casimir effect in one dimensionDec 07 1999We obtain the Casimir effect for the massless scalar field in one dimension based on the analogy between the quantum field and the continuum limit of an infinite set of coupled harmonical oscillators.

Discovery of a satellite of the large trans-Neptunian object (225088) 2007OR10Mar 04 20172007OR10 is currently the third largest known dwarf planet in the transneptunian region, with an effective radiometric diameter of ~1535 km. It has a slow rotation period of ~45 h that was suspected to be caused by tidal interactions with a satellite ... More

The topology of the transcription regulatory network in the yeast, S. cerevisiaeMay 09 2002Aug 21 2002MOTIVATION: A central goal of postgenomic biology is the elucidation of the regulatory relationships among all cellular constituents that together comprise the 'genetic network' of a cell or microorganism. Experimental manipulation of gene activity coupled ... More

Networks in life: Scaling properties and eigenvalue spectraMar 06 2003We analyse growing networks ranging from collaboration graphs of scientists to the network of similarities defined among the various transcriptional profiles of living cells. For the explicit demonstration of the scale-free nature and hierarchical organization ... More

One-point functions in finite volume/temperature: a case studyApr 11 2013Aug 16 2013We consider finite volume (or equivalently, finite temperature) expectation values of local operators in integrable quantum field theories using a combination of numerical and analytical approaches. It is shown that the truncated conformal space approach, ... More

Investigation of activation cross sections of proton induced reactions on indium up to 70 MeV for practical applicationsMar 08 2016Excitation functions were measured for production of the $^{113,111,110}$Sn, $^{115m,114m,113m,112m,111g,110g}$In and $^{111m,109}$Cd radioisotopes by bombardment of In targets with proton beams up to 70 MeV, some of them for the first time. The new results ... More

Activation cross-sections of proton induced reactions on vanadium in the 37-65 MeV energy rangeOct 13 2016Experimental excitation functions for proton induced reactions on natural vanadium in the 37-65 MeV energy range were measured with the activation method using a stacked foil irradiation technique. By using high resolution gamma spectrometry cross-section ... More

Proton-induced cross-sections of nuclear reactions on lead up to 37 MeVNov 07 2014Excitation function of proton induced nuclear reactions on lead for production of $^{206,205,204,203,202,201g}$Bi, $^{203cum,202m,201cum}$Pb and $^{202cum,201cum,200cum,199cum}$Tl radionuclides were measured up to 36 MeV by using activation method, stacked ... More

Activation cross section data of proton induced nuclear reactions on lanthanum in the 34-65 MeV energy range and application for production of medical radionuclidesMar 21 2018Activation cross sections of the natLa(p,x)139,137m,137g,135,134,133mCe, natLa(p,x)135,134,133La and 133m,133g,131Ba nuclear reactions have been measured experimentally, for the first time (except 139Ce). Cross-sections in the 34-64 MeV energy range were ... More

New developments in the experimental data for charged particle production of medical radioisotopesMar 03 2015The goal of the present work is to give a review of developments achieved experimentally in the field of nuclear data for medically important radioisotopes in the last three years. The availability and precision of production related nuclear data is continuously ... More

Activation cross sections of proton and deuteron induced nuclear reactions on holmium and erbium, related to the production of $^{161}$Er and $^{160}$Er medical isotopesOct 25 2016Experimental excitation functions for long-lived products in proton induced reactions were measured with the activation method in the 37-65 MeV energy range on natural holmium. Stacked foil irradiation technique and high resolution gamma spectrometry ... More

New measurements of excitation functions of 186W(p,x) nuclear reactions up to 65 MeV. Production of 178W/178mTa generatorMar 21 2018New experimental excitation functions for proton induced reactions on natW are presented in the 32- 65 MeV energy range. The cross sections for natW(p,xn)186,184,183,182m,182g,181Re, naW(p,x)178W, natW(p,x)183,182,180m,177,176,175Ta, 175Hf, 177Lu were ... More

Activation cross sections of Proton Induced Nuclear Reactions on neodymium up to 65 MeVMar 22 2018In the frame of a systematic study of the activation cross sections of charged particle induced nuclear reactions on rare earths for production of therapeutic radionuclides, proton induced reactions on neodymium were measured up to 65 MeV energy, above ... More

Activation cross sections of proton induced nuclear reactions on gold up to 65 MeVOct 14 2016Activation cross sections of proton induced reactions on gold for production of $^{197m,197g,195m,195g, 193m,193g,192}$Hg, $^{196m,196g(cum),195g(cum),194,191(cum)}$Au, $^{191(cum)}$Pt and $^{192}$Ir were measured up to 65 MeV proton energy, some of them ... More

Electrical, thermal and optical characterization of power LED assembliesSep 12 2007Besides their electrical properties the optical parameters of LEDs also depend on junction temperature. For this reason thermal characterization and thermal management play important role in case of power LEDs, necessitating both physical measurements ... More

Selection in Scale-Free Small WorldApr 14 2005In this paper we compare the performance characteristics of our selection based learning algorithm for Web crawlers with the characteristics of the reinforcement learning algorithm. The task of the crawlers is to find new information on the Web. The selection ... More

Excitation functions for(d,x)reactions on $^{133}$Cs up to $E_d = 40$ MeVSep 29 2016In the frame of a systematic study of excitation functions of deuteron induced reactions the excitation functions of the $^{133}$Cs(d,x)$^{133m,133mg,131mg}$Ba, ${134,132}$Cs and $^{129m}$Xe nuclear reactions were measured up to 40 MeV deuteron energies ... More

Investigation of production routes for the 161Ho Auger-electron emitting radiolanthanide, a candidate for therapyJan 30 2013The radiolanthanide 161Ho (2.48 h) is a promising Auger-electron emitter for internal radiotherapy that can be produced with particle accelerators. The excitation functions of the natDy(p,xn)161Ho and natDy(d,x)161Ho reactions were measured up to 40 and ... More

Equilibrium statistical mechanics of network structuresJan 30 2004In this article we give an in depth overview of the recent advances in the field of equilibrium networks. After outlining this topic, we provide a novel way of defining equilibrium graph (network) ensembles. We illustrate this concept on the classical ... More

Modelling effects of rapid evolution on persistence and stability in structured predator-prey systemsFeb 28 2014In this paper we explore the eco-evolutionary dynamics of a predator-prey model, where the prey population is structured according to a certain life history trait. The trait distribution within the prey population is the result of interplay between genetic ... More

Congruence subgroups and the Atiyah conjectureNov 30 2005Mar 17 2006Let A denote the algebraic closure of the rationals Q in the complex numbers C. Suppose G is a torsion-free group which contains a congruence subgroup as a normal subgroup of finite index and denote by U(G) the C-algebra of closed densely defined unbounded ... More

Multiple sequence alignment for short sequencesOct 30 2015Nov 15 2015Multiple sequence alignment (MSA) has been one of the most important problems in bioinformatics for more decades and it is still heavily examined by many mathematicians and biologists. However, mostly because of the practical motivation of this problem, ... More

Degree Variance and Emotional Strategies Catalyze Cooperation in Dynamic Signed NetworksApr 24 2014We study the problem of the emergence of cooperation in dynamic signed networks where agent strategies coevolve with relational signs and network topology. Running simulations based on an agent-based model, we compare results obtained in a regular lattice ... More

Critical Discussion of "Synchronized Flow", Simulation of Pedestrian Evacuation, and Optimization of Production ProcessesOct 04 2002We critically discuss the concept of ``synchronized flow'' from a historical, empirical, and theoretical perspective. Problems related to the measurement of vehicle data are highlighted, and questionable interpretations are identified. Moreover, we propose ... More

Extension of the energy range of the experimental activation cross-sections data of longer-lived products of proton induced nuclear reactions on dysprosium up to 65 MeVFeb 08 2016Activation cross-sections data of longer-lived products of proton induced nuclear reactions on dysprosium were extended up to 65 MeV by using stacked foil irradiation and gamma spectrometry experimental methods. Experimental cross-sections data for the ... More

Extension of the energy range of experimental activation cross-sections data of deuteron induced nuclear reactions on indium up to 50 MeVMar 03 2016The energy range of our earlier measured activation cross-sections data of longer-lived products of deuteron induced nuclear reactions on indium were extended from 40 MeV up to 50 MeV. The traditional stacked foil irradiation technique and non-destructive ... More

Cross-section measurement of some deuteron induced reactions on $^{160}$Gd for possible production of the therapeutic radionuclide $^{161}$TbMar 26 2013The radionuclide 161Tb (T1/2=6.89 d) is potentially important for internal radiotherapy. It is generally produced through the 160Gd(n,{\gamma})161Gd - 161Tb route at research reactors. In this work the possibility of its production at a cyclotron was ... More

Activation cross-sections of long lived products of deuteron induced nuclear reactions on dysprosium up to 50 MeVFeb 05 2014Activation cross-sections for production of 162m,161,155Ho,165,159,157,155Dy and 161,160,156,155Tb radionuclides in deuteron induced nuclear reactions on elemental dysprosium were measured up to 50 MeV for practical application and the test of the predictive ... More

Activation cross sections of deuteron induced reactions on silver in the 33-50 MeV energy rangeMar 21 2018Excitation functions were measured for the $^{nat}$Ag(d,x)$^{105,104}$Cd, $^{110m,108m,106m,105g,104g}$Ag and $^{101}$Pd, $^{105,101m}$Rh reactions over the energy range 33 50 MeV by using the stacked foil activation technique and subsequent high-resolution ... More

Activation cross-sections of longer lived products of proton induced nuclear reactions on cobalt up to 70 MeVJan 28 2013Mar 21 2013As a part of our series of studies on deuteron induced reaction on various target materials excitation functions on natural cobalt have been measured by using stacked-foil technique. In these measurements 51Cr, 55;56;57;58Co, 51Cr, 52;54;56Mn and 56;57Ni ... More

Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs EnsembleMay 12 2014Sep 28 2014We study the nonequilibrium time evolution of the spin-1/2 anisotropic Heisenberg (XXZ) spin chain, with a choice of dimer product and Neel states as initial states. We investigate numerically various short-ranged spin correlators in the long-time limit ... More

Cosmic-ray induced background intercomparison with actively shielded HPGe detectors at underground locationsMar 02 2015Mar 24 2015The main background above 3\,MeV for in-beam nuclear astrophysics studies with $\gamma$-ray detectors is caused by cosmic-ray induced secondaries. The two commonly used suppression methods, active and passive shielding, against this kind of background ... More

New data on activation cross section for deuteron induced reactions on ytterbium up to 50 MeVDec 02 2014Activation cross sections of deuteron induced reactions on ytterbium for production of $^{177g,173,172,171,170,169,167}$Lu, $^{177,175,169}$Yb and $^{173,168,167,165}$Tm were extended up to 50 MeV deuteron energy. The new data are in acceptable agreement ... More

Excitation functions of $^{nat}$Pb(d,x)$^{206,205,204,203,202}$Bi, $^{203cum,202m,201cum}$Pb and $^{202cum,201cum}$Tl reactions up to 50 MeVNov 27 2014Cross-sections of deuteron induced nuclear reactions on lead were measured up to 50 MeV using the standard stacked foil irradiation technique and high resolution $\gamma$-ray spectrometry. Experimental cross-sections and derived integral yields are presented ... More

Cross sections of deuteron induced reactions on $^{nat}$Sm for production of the therapeutic radionuclide $^{145}$Sm and $^{153}$SmNov 17 2014At present, targeted radiotherapy (TR) is acknowledged to have great potential in oncology. A large list of interesting radionuclides is identified, including several radioisotopes of lanthanides, amongst them $^{145}$Sm and $^{153}$Sm. In this work the ... More

Activation cross-sections of proton induced reactions on $^{nat}$Hf in the 38 to 65 MeV energy range. Production of $^{172}$Lu and of $^{169}$YbMay 03 2018In the frame of a systematical study of light ion induced nuclear reactions on hafnium, activation cross sections for proton induced reactions were investigated. Excitation functions were measured in the 38 to 65 MeV energy range for the $^{nat}$Hf(p,xn)$^{180g,177,176,175,173}$Ta, ... More

Activation cross-sections of longer lived radioisotopes of proton induced nuclear reactions on terbium up to 65 MeVMar 21 2018Experimental cross sections are presented for the 159Tb(p,xn)153,155,157,159Dy, 152,153,155,156m2,m1,g,158Tb and 153,151Gd nuclear reactions up to 65 MeV. The experimental results are compared with the recently reported experimental data and with the ... More

Activation cross-sections of longer lived products of proton induced nuclear reactions on manganese up to 70 MeVFeb 18 2013In the frame of a systematic study of the activation cross-sections of the proton induced nuclear reactions, excitation functions of the 55Mn(p,x)154,152gMn,51Cr and 48V were measured up to 70 MeV. Cross-sections were measured with the activation method ... More

Finite difference approximations for a size-structured population model with distributed states in the recruitmentFeb 25 2014In this paper we consider a size-structured population model where individuals may be recruited into the population at different sizes. First and second order finite difference schemes are developed to approximate the solution of the mathematical model. ... More

Transitions in the Horizontal Transport of Vertically Vibrated Granular LayersMay 07 1999Aug 07 2000Motivated by recent advances in the investigation of fluctuation-driven ratchets and flows in excited granular media, we have carried out experimental and simulational studies to explore the horizontal transport of granular particles in a vertically vibrated ... More

Activation cross sections of deuteron induced reactions on niobium in the 30-50 MeV energy rangeOct 12 2016Activation cross-sections of deuterons induced reactions on Nb targets were determined with the aim of different applications and comparison with theoretical models.

Activation cross-sections of deuteron induced reactions on $^{nat}$Sm up to 50 MeVNov 26 2014Activation cross-sections for deuteron induced reactions on Sm are presented for the first time for $^{nat}$Sm(d,xn)$^{155,154,152m2,152m1,152g,150m,150g,149,148,147,146}$Eu, $^{nat}$Sm(d,x)$^{153,145}$Sm and $^{nat}$Sm(d,x)$^{151,150,149,145,144,143}$Pm ... More

Activation cross-sections of longer-lived products of proton induced nuclear reactions on dysprosium up to 36 MeVOct 17 2013Activation cross-sections of longer-lived products of proton induced nuclear reactions on dysprosium were measured up to 36 MeV by using stacked foil irradiation technique and gamma-spectrometry. We report for the first time experimental cross-sections ... More

Activation cross-sections of longer lived radioisotopes of deuteron induced nuclear reactions on terbium up to 50 MeVMar 26 2013Experimental cross-sections are presented for the first time for the 159Tb(d,xn)155,157,159Dy, 155,156,160Tb and 153Gd nuclear reactions up to 50 MeV. The experimental data are compared with theoretical predictions of the ALICE, EMPIRE and TALYS nuclear ... More

Activation cross-sections of proton induced reactions on $^{nat}$Sm up to 65 MeVFeb 10 2016Activation cross sections for proton induced reactions on Sm are presented for the first time for $^{nat}$Sm(p,xn)$^{154,152m2,152m1,152g,150m,150g,149,148,147,146,145}$Eu, $^{nat}$Sm(p,x)$^{153,145}$Sm, $^{nat}$Sm(p,x)$^{151,150,149,148g,148m,146,144,143}$Pm ... More

Activation cross-sections of deuteron induced reactions on natGd up to 50 MeVOct 24 2013Activation cross-sections are presented for the first time for natGd(d,xn)161,160,156(m+), 154,154m1,154m2,153,152(m+),151(m+)Tb, natGd(d,x)159,153,151Gd and natGd(d,x)156Eu reactions from their respective thresholds up to 50 MeV. The cross-sections were ... More

New data on cross-sections of deuteron induced nuclear reactions on gold up to 50 MeV and comparison of production routes of medically relevant Au and Hg radioisotopesFeb 23 2016Investigations of cross-sections of deuteron induced nuclear reactions on gold were extended up to 50 MeV by using the standard stacked foil irradiation technique and high resolution gamma-ray spectrometry. New cross-sections are reported for the $^{197}$Au(d,xn)$^{197m,197g,195m,195g,193m,193g}$Hg ... More

Activation cross sections of proton induced nuclear reactions on palladium up to 80 MeVOct 03 2016Activation cross sections of proton induced nuclear reactions on palladium were measured up to 80 MeV by using the stacked foil irradiation technique and gamma ray spectrometry. The beam intensity, the incident energy and the energy degradation were controlled ... More

Production of Rubidium Bose-Einstein Condensates at a 1 Hz RateMar 18 2014Dec 24 2014We present an experimental apparatus that produces Bose-Einstein condensates (BECs) of $^{87}$Rb atoms at a rate of 1 Hz. As a demonstration of the system's ability to operate continuously, 30 BECs were produced and imaged in 32.1 s. Without imaging, ... More

Diagonal multi-soliton matrix elements in finite volumeSep 26 2012Feb 13 2013We consider diagonal matrix elements of local operators between multi-soliton states in finite volume in the sine-Gordon model, and formulate a conjecture regarding their finite size dependence which is valid up to corrections exponential in the volume. ... More

The Miracle of Peer Review and Development in Science: An Agent-Based ModelJul 09 2016It is not easy to rationalize how peer review, as the current grassroots of science, can work based on voluntary contributions of reviewers. There is no rationale to write impartial and thorough evaluations. Consequently, there is no risk in submitting ... More

Dimension approximation of attractors of graph directed IFSs by self-similar setsMay 21 2015We show that for the attractor $(K_{1},\dots,K_{q})$ of a graph directed iterated function system, for each $1\leq j\leq q$ and $\varepsilon>0$ there exits a self-similar set $K\subseteq K_{j}$ that satisfies the strong separation condition and $\dim_{H}K_{j}-\varepsilon<\dim_{H}K$. ... More

Interval projections of self-similar setsNov 18 2016We show if $K$ is a self-similar $1$-set that either satisfies the strong separation or is defined via homotheties then there are at most finitely many lines through the origin such that the projection of $K$ onto them is an interval.

Birational aspects of the geometry of M_gOct 03 2008Aug 10 2009We discuss topics on the geometry of the moduli space of curves. We present a short proof of the Harris-Mumford theorem on the Kodaira dimension of the moduli space which replaces the computations on the stack of admissible covers by a simple study of ... More

Gaussian maps, Gieseker-Petri loci and large theta-characteristicsFeb 03 2004Apr 05 2004We analyze the stratification of the moduli space S_g of spin curves of genus g given by the dimension of the theta-characteristic. Using the relation between gaussian maps and the strata S_g^r, we construct "regular" components of S_g^r having expected ... More

Adjoint bi-continuous semigroups and semigroups on the space of measuresMay 28 2008Sep 02 2010For a given bi-continuous semigroup T on a Banach space X we define its adjoint on an appropriate closed subspace X^o of the norm dual X'. Under some abstract conditions this adjoint semigroup is again bi-continuous with respect to the weak topology (X^o,X). ... More

Signed Networks, Triadic Interactions and the Evolution of CooperationSep 30 2013We outline a model to study the evolution of cooperation in a population of agents playing the prisoner's dilemma in signed networks. We highlight that if only dyadic interactions are taken into account, cooperation never evolves. However, when triadic ... More

Parallel versus Sequential Update and the Evolution of Cooperation with the Assistance of Emotional StrategiesJan 19 2014Our study contributes to the debate on the evolution of cooperation in the single-shot Prisoner's Dilemma (PD) played on networks. We construct a model in which individuals are connected with positive and negative ties. Some agents play sign-dependent ... More

Activation cross-sections of longer lived products of deuteron induced nuclear reactions on ytterbium up to 40 MeVFeb 21 2013In the frame of a systematic study of the activation cross-sections of the deuteron induced nuclear reactions, excitation functions of the natYb(d,xn)177,173,172mg,171mg,170,169Lu, natYb(d,x)175,169Yb and natYb(d,x)173,172,168,167,165Tm reactions are ... More

Activation cross-sections of deuteron induced nuclear reactions on neodymium up to 50 MeVNov 11 2014In the frame of a systematic study of activation cross sections of deuteron induced nuclear reactions on rare earths, the reactions on neodymium for production of therapeutic radionuclides were measured for the first time. The excitation functions of ... More

Investigation of activation cross-sections of proton induced nuclear reactions on natTl up to 42 MeV: review, new data and evaluationJan 15 2013Cross-sections of proton induced nuclear reactions on natural thallium have been studied for investigation of the production of the medical important 201Tl diagnostic radioisotope. The excitation functions of 204mPb, 203Pb, 202mPb, 201Pb, 200Pb, 199Pb, ... More

New activation cross section data on longer lived radio-nuclei produced in proton induced nuclear reaction on zirconiumJan 19 2016In the frame of a systematic study of charged particle production routes of medically relevant radionuclei, the excitation function for indirect production of $^{178m}$Ta through $^{nat}$Hf($\alpha$,xn)$^{178-178m}$Ta nuclear reaction was measured for ... More

Theta characteristics and their moduliJan 12 2012Mar 18 2012We discuss various aspects of the geometry of theta characteristics including the birational geometry of the spin moduli space of curves, parametrization of moduli via special K3 surfaces, as well as the relation with classical theta function theory and ... More

Schrodinger-Maxwell systems on compact Riemannian manifoldsMar 20 2018May 23 2018In this paper we are focusing to the following Schr\"odinger-Maxwell system $(\mathcal{SM}_{\Psi(\lambda,\cdot)}^{e})$: \[ \begin{cases} -\Delta_{g}u+\beta(x)u+eu\phi=\Psi(\lambda,x)f(u) & \mathrm{in}\ M -\Delta_{g}\phi+\phi=qu^{2} & \mathrm{\mathrm{in}\ ... More

Brill-Noether Loci and the Gonality Stratification of $M_g$Jul 05 2000Dec 13 2000A Brill-Noether locus is a subvariety of M_g consisting of curves having certain linear series g^r_d. We study the relative position of Brill-Noether loci with respect to the gonality stratification of M_g. We construct smooth curves in P^r of given degree ... More

Progress on syzygies of algebraic curvesMar 23 2017Apr 11 2017These lectures discuss recent advances on syzygies on algebraic curves, especially concerning the Green, the Prym-Green and the Green-Lazarsfeld Secant Conjectures. The methods used are largely geometric and variational, with a special emphasis on examples ... More

Rational maps between moduli spaces of curves and Gieseker-Petri divisorsAug 30 2007May 09 2009We perform an intersection theoretic study of the rational map between two different moduli spaces of stable curves which associates to a curve its corresponding Brill-Noether locus (in the case this locus has virtual dimension 1). We then use these results ... More

Higher ramification and varieties of secant divisors on the generic curveApr 06 2007Nov 20 2014For a smooth projective curve, the cycles of e-secant k-planes are among the most studied objects in classical enumerative geometry and there are well-known formulas due to Castelnuovo, Cayley and MacDonald concerning them. Despite various attempts, surprisingly ... More

A note on the periodic decomposition problem for semigroupsJan 06 2014Given $T_1,\dots, T_n$ commuting power-bounded operators on a Banach space we study under which conditions the equality $\ker (T_1-\mathrm{I})\cdots (T_n-\mathrm{I})=\ker(T_1-\mathrm{I})+\cdots +\ker (T_n-\mathrm{I})$ holds true. This problem, known as ... More

Brill-Noether geometry on moduli spaces of spin curvesMay 06 2010We develop a theory of Brill-Noether divisors on the moduli space of stable spin curves of genus g, and compute the classes of these loci. A spin Brill-Noether cycle is defined in terms of the relative position of the spin structure with respect to certain ... More

Prym varieties and their moduliApr 14 2011Oct 13 2011We discuss the geometry of the moduli space of Prym varieties. The article is based on series of lectures given in Bedlewo and Luminy. The first section of the paper contains a detailed historical account of the lives of Friedrich Prym and Friedrich Schottky. ... More

On scale symmetry in gauge theoriesMar 20 2014Buchholz and Fredenhagen proved that particles in the vacuum sector of a scale invariant local quantum field theory do not scatter. More recently, Weinberg argued that conformal primary fields satisfy the wave equation if they have nonvanishing matrix ... More

Regular components of moduli spaces of stable mapsSep 30 2000May 13 2002A component of the moduli space M_g(Y,b) of stable maps from genus g curves to a variety Y is said to be regular if it is generically smooth and of the expected dimension provided by deformation theory. In this note we prove existence of regular components ... More

Interval projections of self-similar setsNov 18 2016Oct 16 2018We show that if $K$ is a self-similar $1$-set that is not contained in a line and either satisfies the strong separation condition or is defined via homotheties then there are at most finitely many lines through the origin such that the projection of ... More

Dimension approximation of attractors of graph directed IFSs by self-similar setsMay 21 2015Oct 16 2018We show that for the attractor $(K_{1},\dots,K_{q})$ of a graph directed iterated function system, for each $1\leq j\leq q$ and $\varepsilon>0$ there exits a self-similar set $K\subseteq K_{j}$ that satisfies the strong separation condition and $\dim_{H}K_{j}-\varepsilon<\dim_{H}K$. ... More

The Fermat cubic and special Hurwitz loci in M_gNov 08 2007Apr 10 2008We compute the class of the locus in M_g of curves having a pencil with two unspecified triple ramification points. This is the first example of a geometric divisor on M_g which is not the pull-back of a divisor on the moduli space of pseudo-stable curves. ... More

A Bohl-Bohr-Kadets type theorem characterizing Banach spaces not containing c0Jan 26 2013We prove that a separable Banach space $E$ does not contain a copy of the space $\co$ of null-sequences if and only if for every doubly power-bounded operator $T$ on $E$ and for every vector $x\in E$ the relative compactness of the sets $\{T^{n+m}x-T^nx: ... More

Isotropic-Nematic Phase Transitions in Gravitational Systems II: Higher Order MultipolesDec 12 2017Mar 05 2018The gravitational interaction among bodies orbiting in a spherical potential leads to the rapid relaxation of the orbital planes' distribution, a process called vector resonant relaxation. We examine the statistical equilibrium of this process for a system ... More

Emotional Strategies as Catalysts for Cooperation in Signed NetworksJan 09 2014Apr 24 2014The evolution of unconditional cooperation is one of the fundamental problems in science. A new solution is proposed to solve this puzzle. We treat this issue with an evolutionary model in which agents play the Prisoner's Dilemma on signed networks. The ... More

New cross section data and review of production routes of medically used $^{110m}$InFeb 12 2016Feb 22 2016Evaluation of nuclear data for production routes of $^{110m}$In is in progress in the frame of an IAEA Coordinated Research Project (CRP). New experimental cross section data for the indirect $^{nat}$In(p,x)$^{110}$Sn $\longrightarrow$ $^{110m}$In and ... More

Investigation of activation cross-section data of proton induced nuclear reactions on rheniumFeb 01 2013In the frame of systematic investigations of activation cross-section data for different applications the excitation functions of natRe(p,x)185Os, 183mOs, 183gOs, 182Os, 181mOs, 186gRe, 184mRe, 184gRe, 183Re, 182mRe, 182gRe and 181gRe reactions were measured ... More

Activation cross-sections of deuteron induced nuclear reactions on rhenium up to 40 MeVJan 10 2013As a part of a thorough work of excitation functions of deuteron induced reactions, experimental cross-sections of ^{185,183m,183g,182}Os and ^{188,186,184m,184g,183}Re activation products on natRe were measured up to 40 MeV for the first time with the ... More

Brill-Noether with ramification at unassigned pointsJan 23 2013We discuss in this short note how basic facts about divisors on moduli spaces of pointed curves give a solution to the Brill-Noether problem of nonexistence of linear series with prescribed ramification at unassigned points.

Blind decoding of Linear Gaussian channels with ISI, capacity, error exponent, universalityJan 03 2008A new straightforward universal blind detection algorithm for linear Gaussian channel with ISI is given. A new error exponent is derived, which is better than Gallager's random coding error exponent.

The birational type of the moduli space of even spin curvesMay 15 2008Aug 17 2009We determine the Kodaira dimension of the moduli space of even spin curves for all genera, with one possible exception: The scheme S_g has negative Kodaira dimension for g<8 and it is of general type for g>8. The Kodaira dimension of S_8 is non-negative. ... More

$n$-fold unbiased bases: an extension of the MUB conditionJun 14 2017I introduce a new notion, that extends the mutually unbiased bases (MUB) conditons to more than two bases. These, I call the nUB conditions, and the corresponding bases $n$-fold unbiased. They naturally appear while optimizing generic $n$-to-one quantum ... More

The Geometry of the Moduli Space of Curves of Genus 23Jul 02 1999We prove that the Kodaira dimension of the moduli space M_{23} of curves of genus 23 is at least 2. We also present some evidence for the hypothesis that the Kodaira dimension of the moduli space is actually equal to 2. Note that for g > 23 the moduli ... More

Effective divisors on Hurwitz spaces and moduli of curvesApr 05 2018Aug 02 2018We discuss the transition from uniruledness to being of general type for moduli spaces of curves and Hurwitz spaces of covers. First, we construct and calculate the class of a virtual divisor on the moduli space of curves of genus 23, having slope less ... More

Projections of self-similar sets with no separation conditionJul 10 2013May 13 2016We investigate how the Hausdorff dimension and measure of a self-similar set $K\subseteq\mathbb{R}^{d}$ behave under linear images. This depends on the nature of the group $\mathcal{T}$ generated by the orthogonal parts of the defining maps of $K$. We ... More

Conditional measure on the Brownian path and other random setsApr 19 2017Jan 12 2018Let $B$ denote the range of the Brownian motion in $\mathbb{R}^{d}$ ($d\geq3$). For a deterministic Borel measure $\nu$ on $\mathbb{R}^{d}$ we wish to find a random measure $\mu$ such that the support of $\mu$ is contained in $B$ and it is a solution ... More

Origin of meteoritic stardust unveiled by a revised proton-capture rate of $^{17}$OMar 01 2017Stardust grains recovered from meteorites provide high-precision snapshots of the isotopic composition of the stellar environment in which they formed. Attributing their origin to specific types of stars, however, often proves difficult. Intermediate-mass ... More

Considering Air Density in Wind Power ProductionMar 11 2011In the wind power production calculations the air density is usually considered as constant in time. Using the CIPM-2007 equation for the density of moist air as a function of air temperature, air pressure and relative humidity, we show that it is worth ... More

Reaching the Holevo Capacity via von Neumann measurement, and its useApr 19 2007Aug 01 2007In this article we show that the Holevo capacity of a classical quantum channel, can be reached not only by a POVM but by von Neumann measurement too. Furthermore we show two use of this fact 1) We can generalize the classical compound channel to quantum ... More

Syzygies of curves and the effective cone of \bar{M}_gMar 23 2005Dec 07 2006We describe a systematic way of constructing effective divisors on the moduli space of stable curves of genus g having exceptionally small slope. We prove that any divisor on \bar{M}_g consisting of curves failing a certain Green-Lazarsfeld syzygy type ... More

Koszul divisors on moduli spaces of curvesJul 19 2006Oct 24 2007Given a moduli problem with a nice coarse moduli space, which is the most intrinsic and natural divisor on this moduli space? We describe a general method of constructing effective divisors on a large class of moduli spaces using the syzygies of the parametrized ... More