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Suppression and revival of long-range ferromagnetic order in the multiorbital Fermi-Hubbard modelFeb 08 2018By means of dynamical mean-field theory allowing for complete account of SU(2) rotational symmetry of interactions between spin-1/2 particles, we observe a strong effect of suppression of ferromagnetic order in the multiorbital Fermi-Hubbard model in ... More

Numerical calculation of spectral functions of the Bose-Hubbard model using B-DMFTMar 17 2015Apr 08 2015We calculate the momentum dependent spectral function of the Bose-Hubbard model on a simple cubic lattice in three dimensions within the bosonic dynamical mean-field theory (B-DMFT). The continuous-time quantum Monte Carlo method is used to solve the ... More

Improved Green's Function Measurement for Hybridization Expansion Quantum Monte CarloFeb 19 2013We present an algorithm for measurement of the Green's function in the hybridization expansion continuous-time quantum Monte-Carlo based on continuous estimators. Compared to the standard method, the present algorithm has similar or better accuracy with ... More

Doping dependence of spin fluctuations and electron correlations in iron pnictidesFeb 24 2010Jul 20 2010Doping dependence of the spin fluctuations and the electron correlations in the effective five-band Hubbard model for iron pnictides is investigated using the fluctuation-exchange approximation. For a moderate hole doping, we find a dominant low-energy ... More

Phase diagram and Gap anisotropy in Iron-Pnictide SuperconductorsDec 10 2009Feb 24 2010Using the fluctuation-exchange (FLEX) approximation we study an effective five-band Hubbard model for iron-pnictide superconductors obtained from the first-principles band structure. We preclude deformations of the Fermi surface due to electronic correlations ... More

Low-temperature properties of single-crystal CrB$_{2}$Dec 04 2014We report the low-temperature properties of $^{11}$B-enriched single-crystal CrB$_{2}$ as prepared from high-purity Cr and B powder by a solid-state reaction and optical float zoning. The electrical resistivity, $\rho_{\rm xx}$, Hall effect, $\rho_{\rm ... More

Crystal field of rare earth impurities in LaF$_3$Jul 29 2014The crystal field parameters of 13 trivalent lanthanide ions substituted for La in LaF$_3$ were calculated using the combination of the band structure and Wannier function calculations. Performing an atomic exact diagonalization with thus obtained crystal-field ... More

The countable Telescope Conjecture for module categoriesJan 25 2008May 16 2008By the Telescope Conjecture for Module Categories, we mean the following claim: "Let R be any ring and (A, B) be a hereditary cotorsion pair in Mod-R with A and B closed under direct limits. Then (A, B) is of finite type." We prove a modification of this ... More

Motives from DiffractionNov 19 2005We look at geometrical and arithmetical patterns created from a finite subset of Z^n by diffracting waves and bipartite graphs. We hope that this can make a link between Motives and the Melting Crystals/Dimer models in String Theory.

Uniform measures and countably additive measuresApr 06 2007Uniform measures are defined as the functionals on the space of bounded uniformly continuous functions that are continuous on bounded uniformly equicontinuous sets. If every cardinal has measure zero then every countably additive measure is a uniform ... More

Thermodynamic constraints on neural dimensions, firing rates, brain temperature and sizeMay 22 2009There have been suggestions that heat caused by cerebral metabolic activity may constrain mammalian brain evolution, architecture, and function. This article investigates physical limits on brain wiring and corresponding changes in brain temperature that ... More

Scaling of brain metabolism and blood flow in relation to capillary and neural scalingNov 15 2011Brain is one of the most energy demanding organs in mammals, and its total metabolic rate scales with brain volume raised to a power of around 5/6. This value is significantly higher than the more common exponent 3/4 relating whole body resting metabolism ... More

Global and regional brain metabolic scaling and its functional consequencesMay 21 2007Background: Information processing in the brain requires large amounts of metabolic energy, the spatial distribution of which is highly heterogeneous reflecting complex activity patterns in the mammalian brain. Results: Here, it is found based on empirical ... More

Towards comparative theoretical neuroanatomy of the cerebral cortexApr 01 2004Despite differences in brain sizes and cognitive niches among mammals, their cerebral cortices posses many common features and regularities. These regularities have been a subject of experimental investigation in neuroanatomy for the last 100 years. It ... More

Wick's Theorem and a New Perturbation Theory Around the Atomic Limit of Strongly Correlated Electron SystemsSep 26 1994A new type of perturbation expansion in the mixing $V$ of localized orbitals with a conduction-electron band in the $U\to\infty$ Anderson model is presented. It is built on Feynman diagrams obeying standard rules. The local correlations of the unperturbed ... More

Deformed exponentials and logarithms in generalized thermostatisticsMar 24 2002Criteria are given that kappa-deformed logarithmic and exponential functions should satisfy. With a pair of such functions one can associate another function, called the deduced logarithmic function. It is shown that generalized thermostatistics can be ... More

Dual description of nonextensive ensemblesApr 06 1999Apr 13 1999In the case of a system with an unbounded hamiltonian the entropic index q of non-extensive thermodynamics has an upperbound q_c>1 beyond which the formalism becomes meaningless. The expression 1/(q_c-1) is the dimension of the state space (i.e. the manifold ... More

The q-exponential family in statistical physicsNov 28 2009The Boltzmann-Gibbs probability distribution, seen as a statistical model, belongs to the exponential family. Recently, the latter concept has been generalized. The q-exponential family has been shown to be relevant for the statistical description of ... More

Generalized thermostatistics based on deformed exponential and logarithmic functionsNov 19 2003The equipartition theorem states that inverse temperature equals the log-derivative of the density of states. This relation can be generalized by introducing a proportionality factor involving an increasing positive function phi(x). It is shown that this ... More

The Quantum Geometer's Universe: Particles, Interactions and TopologyJul 31 2002With the two most profound conceptual revolutions of XXth century physics, quantum mechanics and relativity, which have culminated into relativistic spacetime geometry and quantum gauge field theory as the principles for gravity and the three other known ... More

The Cosmological Constant of One-Dimensional Matter Coupled Quantum Gravity is QuantizedFeb 20 2002Coupling any interacting quantum mechanical system to gravity in one dimension requires the cosmological constant to belong to the matter energy spectrum and thus to be quantized, even though the gravity sector is free of any quantum dynamics, while physical ... More

On the Road Towards the Quantum Geometer's Universe: An Introduction to Four-Dimensional Supersymmetric Quantum Field TheoriesAug 03 2004This brief set of notes presents a modest introduction to the basic features entering the construction of supersymmetric quantum field theories in four-dimensional Minkowski spacetime, building a bridge from similar lectures presented at a previous Workshop ... More

The AdS3 central charge in string theorySep 09 2011Oct 05 2011We evaluate the vacuum expectation value of the central charge operator in string theory in an AdS3 vacuum. Our calculation provides a rare non-zero one-point function on a spherical worldsheet. The evaluation involves the regularization both of a worldsheet ... More

Semiuniform semigroups and convolutionNov 21 2008Nov 26 2008Semiuniform semigroups provide a natural setting for the convolution of generalized finite measures on semigroups. A semiuniform semigroup is said to be ambitable if each uniformly bounded uniformly equicontinuous set of functions on the semigroup is ... More

Ambitable topological groupsMar 24 2008May 25 2009A topological group is said to be ambitable if each uniformly bounded uniformly equicontinuous set of functions on the group with its right uniformity is contained in an ambit. For n=0,1,2,..., every locally aleph_n bounded topological group is either ... More

Synthetic Spectra and Light Curves of Interacting Binaries and Exoplanets with Circumstellar Material: SHELLSPECAug 15 2011Program SHELLSPEC is designed to calculate light-curves, spectra and images of interacting binaries and extrasolar planets immersed in a moving circumstellar environment which is optically thin. It solves simple radiative transfer along the line of sight ... More

Malliavin calculus and decoupling inequalities in Banach spacesJan 18 2008Feb 14 2008We develop a theory of Malliavin calculus for Banach space valued random variables. Using radonifying operators instead of symmetric tensor products we extend the Wiener-Ito isometry to Banach spaces. In the white noise case we obtain two sided L^p-estimates ... More

Boundary De Giorgi-Ladyzhenskaya classes and their application to regularity of swirl of Navier-StokesNov 19 2012The embeddings theorem of space-boundary-type DeGiorgi-Ladyzhenskaya parabolic classes into Holder spaces is presented, which is useful for regularity considerations for parabolic boundary value problems. Additionaly, the application of this theory to ... More

Longtime behavior of coupled wave equations for semiconductor lasersAug 09 2013Coupled wave equations are popular tool for investigating longitudinal dynamical effects in semiconductor lasers, for example, sensitivity to delayed optical feedback. We study a model that consists of a hyperbolic linear system of partial differential ... More

Puiseux series polynomial dynamics and iteration of complex cubic polynomialsSep 21 2004We study polynomials with coefficients in a field L as dynamical systems where L is any algebraically closed and complete ultrametric field with dense valuation group and characteristic zero residual field. We give a complete description of the dynamical ... More

The Ordinary Limit for Varieties over Z[x_1,...,x_r]Dec 04 2002Dec 18 2002We investigate for families of smooth projective varieties over a localized polynomial ring Z[x_1,...,x_r][D^{-1}] the conjugate filtration on De Rham cohomology tensored with Z/NZ. As N tends to infinity this leads to the concept of the ordinary limit, ... More

Aspects of Spontaneous N=2 -> N=1 Breaking in SupergravityMar 15 2002We discuss some issues related to spontaneous N=2-> N=1 supersymmetry breaking. In particular, we state a set of geometrical conditions which are necessary that such a breaking occurs. Furthermore, we discuss the low energy N=1 effective Lagrangian and ... More

Operator formalism of quantum mechanicsDec 29 2000This is the first chapter of a new and unconventional textbook on quantum mechanics and quantum field theory. The chapter introduces standard quantum mechanics by means of a symmetry principle, without reference to classical mechanics. The mathematical ... More

Non-unique conical and non-conical tangents to rectifiable stationary varifolds in R^4Mar 15 2013May 15 2014We construct a rectifiable stationary 2-varifold in R^4 with non-conical, and hence non-unique, tangent varifold at a point. This answers a question of L. Simon (Lectures on geometric measure theory, 1983, p. 243) and provides a new example for a related ... More

The Darboux-Bianchi-Bäcklund transformation and soliton surfacesMar 21 2013In the first part of the paper we present the dressing method which generates multi-soliton solutions to integrable systems of nonlinear partial differential equations. We compare the approach of Neugebauer with that of Zakharov, Shabat and Mikhailov. ... More

Chiral Dynamics beyond the Standard ModelNov 09 2006The SM Lagrangian without physical scalars is rewritten as the LO of a Low-Energy Effective Theory invariant under a higher non linear symmetry S_{nat} \supset SU(2)_W \times U(1)_Y. Soft breaking of S_{nat} defines a hierarchy of non standard effects ... More

Replica Symmetry Breaking in Renormalization: Application to the Randomly Pinned Planar Flux ArrayMar 03 1995The randomly pinned planar flux line array is supposed to show a phase transition to a vortex glass phase at low temperatures. This transition has been examined by using a mapping onto a 2D XY-model with random an\-iso\-tropy but without vortices and ... More

Spin and quadrupole contributions to the motion of astrophysical binariesDec 10 2014Jul 18 2016Compact objects in general relativity approximately move along geodesics of spacetime. It is shown that the corrections to geodesic motion due to spin (dipole), quadrupole, and higher multipoles can be modeled by an extension of the point mass action. ... More

Non-existence of toroidal cohomogeneity-1 near horizon geometriesAug 03 2010We prove that $D\geq 5$ dimensional stationary, non-static near horizon geometries with (D-3) rotational symmetries subject to the vacuum Einstein equations including a cosmological constant cannot have toroidal horizon topology. In D=4 dimensions the ... More

Symmetry and approximability of submodular maximization problemsOct 21 2011Jan 30 2013A number of recent results on optimization problems involving submodular functions have made use of the multilinear relaxation of the problem. These results hold typically in the value oracle model, where the objective function is accessible via a black ... More

A stabilization theorem for dynamics of continuous opinionsAug 22 2007A stabilization theorem for processes of opinion dynamics is presented. The theorem is applicable to a wide class of models of continuous opinion dynamics based on averaging (like the models of Hegselmann-Krause and Weisbuch-Deffuant). The analysis detects ... More

Universality in movie rating distributionsJun 13 2008Jul 10 2009In this paper histograms of user ratings for movies (1,...,10) are analysed. The evolving stabilised shapes of histograms follow the rule that all are either double- or triple-peaked. Moreover, at most one peak can be on the central bins 2,...,9 and the ... More

Universal abelian covers of superisolated singularitiesJan 27 2006Jan 30 2008We give explicit examples of Gorenstein surface singularities with integral homology sphere link, which are not complete intersections. Their existence was shown by Luengo-Velasco, Melle-Hernandez and Nemethi, thereby providing counterexamples to the ... More

Jacob's ladders, $ζ$-factorization and infinite set of metamorphosis of a multiformJan 30 2015Feb 10 2015In this paper we use Jacob's ladders together with fundamental Hardy-Littlewood formula (1921) to prove the so-called $\zeta$-factorization formula on the critical line. Simultaneously, we obtain a set of control parameters of metamorphosis of a multiform ... More

Jacob's ladders and the nonlocal interaction of the function $|ζ(1/2+it)|$ with the function $\argζ(1/2+it)$ on the distance $\sim(1-c)π(t)$Apr 01 2010Jun 18 2010In this paper we obtain a new-type formula - \emph{a mixed formula} - which connects the functions $|\zeta(1/2+it)|$ and $\arg\zeta(1/2+it)$. This formula cannot be obtained in the classical theory of A. Selberg, and, all the less, in the theories of ... More

Jacob's ladders, new properties of the function $\arg\zf$ and corresponding metamorphosesJun 26 2015The notion of the Jacob's ladders, reversely iterated integrals and the $\zeta$-factorization is used in this paper in order to obtain new results in study of the function $\arg\zf$. Namely, we obtain new formulae for non-local and non-linear interaction ... More

Jacob's ladders and invariant set of constraints for the reversely iterated integrals (energies) in the theory of the Riemann zeta-functionDec 09 2014In this paper we obtain an extension of the set of non-local equalities by adding to it new set of local equalities. Namely, we obtain an invariant set of equalities on the set of reversely iterated integrals (energies). In other words, we obtain a new ... More

Jacob's ladders and laws that control chaotic behavior of the measures of reversely iterated segmentsApr 22 2014The main subject to study in this paper are properties of the sequence of reversely iterated segments. Especially, we will examine properties of chaotic behavior of the sequence of measures of corresponding segments. Our results are not accessible within ... More

Riemann's hypothesis and some infinite set of microscopic universes of the Einstein's type in the early period of the evolution of the UniverseMay 14 2013Jul 28 2013We obtain in this paper, as a consequence of the Riemann hypothesis, certain class of topological deformations of the graph of the function $|\zf|$. These are used to construct an infinite set of microscopic universes (on the Planck's scale) of the Einstein ... More

Jacob's ladders and some nonlinear integral equations connected with the Poisson-Lobachevsky integralJan 14 2011We obtain some new properties of the signal generated by the Riemann zeta-function in this paper. Namely, we show the connection between the function $\zf$ and a nonlinear integral equation related to the Poisson-Lobachevsky integral.

Jacob's ladders and the oscillations of the function $|ζ(1/2+it)|^2$ around its mean-value; law of the almost exact equality of corresponding areasJun 22 2010The oscillations of the function $Z^2(t),\ t\in [0,T]$ around the main part $\sigma(T)$ of its mean-value are studied in this paper. It is proved that an almost equality of the corresponding areas holds true. This result cannot be obtained by methods ... More

Jacob's ladders and the asymptotic formula for short and microscopic parts of the Hardy-Littlewood integral of the function $|ζ(1/2+it)|^4$Jan 22 2010The elementary geometric properties of Jacob's ladders of the second order lead to a class of new asymptotic formulae for short and microscopic parts of the Hardy-Littlewood integral of $|\zeta(1/2+it)|^4$. These formulae cannot be obtained by methods ... More

Jacob's ladders and the asymptotic formula for the integral of the eight order expression $|ζ(1/2+i\vp_2(t))|^4|ζ(1/2+it)|^4$Jan 13 2010Jan 19 2010It is proved in this paper that there is a fine correlation between the values of $|\zeta(1/2+i\vp_2(t))|^4$ and $|\zeta(1/2+it)|^4$ where $\vp_2(t)$ stands for the Jacob's ladder of the second order. This new asymptotic formula cannot be obtained in ... More

Jacob's ladders and the first asymptotic formula for the expression of the fifth order $Z^3[...]\hat{Z}^2(t)$ for the collection of disconnected setsDec 01 2009It is shown in this paper that there is a fine correlation of the fifth order between the values $Z[\phi(t)/2+\rho_1]Z[\phi(t)/2+\rho_2]Z[\phi(t)/2+\rho_3]$ and $\hat{Z}^2(t)$ which correspond to two collections of disconnected sets. This new asymptotic ... More

Jacob's ladders and the first asymptotic formula for the expression of the sixth order $|ζ(1/2+i\varphi(t)/2)|^4|ζ(1/2+it)|^2$Nov 06 2009Jan 12 2010t is proved in this paper that there is a fine correlation between the values of $|\zeta(1/2+i\varphi(t)/2)|^4$ and $|\zeta(1/2+it)|^2$ which correspond to two segments with gigantic distance each from other. This new asymptotic formula cannot be obtained ... More

Automatic segmentation of HeLa cell imagesJan 12 2011In this work, the possibilities for segmentation of cells from their background and each other in digital image were tested, combined and improoved. Lot of images with young, adult and mixture cells were able to prove the quality of described algorithms. ... More

The $C^0$-inextendibility of the Schwarzschild spacetime and the spacelike diameter in Lorentzian GeometryJul 02 2015Apr 25 2016The maximal analytic Schwarzschild spacetime is manifestly inextendible as a Lorentzian manifold with a twice continuously differentiable metric. In this paper, we prove the stronger statement that it is even inextendible as a Lorentzian manifold with ... More

General construction of symmetric parabolic structuresJul 01 2012First we introduce a generalization of symmetric spaces to parabolic geometries. We provide construction of such parabolic geometries starting with classical symmetric spaces and we show that all regular parabolic geometries with smooth systems of involutive ... More

Computation of Principal A-determinants through Dimer DynamicsJan 23 2009In this note we translate the pictorial description of Gulotta's efficient inverse algorithm (arXiv:0807.3012) into matrix operations, so that it can be implemented on a computer. As an application we point out that this in combination with results from ... More

Improved enumeration of simple topological graphsDec 12 2012Mar 12 2014A simple topological graph T = (V(T), E(T)) is a drawing of a graph in the plane where every two edges have at most one common point (an endpoint or a crossing) and no three edges pass through a single crossing. Topological graphs G and H are isomorphic ... More

On Barnette's Conjecture and $H^{+-}$ propertyAug 21 2012A conjecture of Barnette states that every 3-connected cubic bipartite plane graph has a Hamilton cycle, which is equivalent to the statement that every simple even plane triangulation admits a partition of its vertex set into two subsets so that each ... More

Orbits and Hamilton bonds in a family of plane triangulations with vertices of degree three or sixJun 23 2012Let $\cal{P}$ be the family of all 2-connected plane triangulations with vertices of degree three or six. Gr\"{u}nbaum and Motzkin proved (in the dual terms) that every graph $P \in \cal{P}$ is factorable into factors $P_0$, $P_1$, $P_2$ (indexed by elements ... More

Visual Representation of 3D Language Constructs Specified by Generic DepictionsNov 20 2013Several modeling domains make use of three-dimensional representations, e.g., the "ball-and-stick" models of molecules. Our generator framework DEViL3D supports the design and implementation of visual 3D languages for such modeling purposes. The front-end ... More

A characterization of long exact sequences coming from the snake lemmaJun 06 2009Jul 01 2009Given an abelian category, we characterize the long exact sequences of length six which can be obtained from the snake lemma. Equivalently, these are the long exact sequences which arise as the homology of a triangle in the corresponding derived bounded ... More

The Skorokhod embedding problem and its offspringJan 12 2004Nov 10 2005This is a survey about the Skorokhod embedding problem. It presents all known solutions together with their properties and some applications. Some of the solutions are just described, while others are studied in detail and their proofs are presented. ... More

The maximality principle revisited: on certain optimal stopping problemsMay 13 2004May 27 2005We investigate the optimal stopping problems involving the supremum of a diffusion. The starting point is the link between works of Peskir and Meilijson, which we describe in a unified manner. The description developped follows mainly the work of Peskir ... More

Higher cotangent cohomology of rational surface singularitiesApr 03 2002The cotangent cohomology groups T^1 and T^2 play an important role in deformation theory, the first as space of infinitesimal deformations, while the obstructions land in the second. Much work has been done to compute their dimension for rational surface ... More

Effective CP violation in the Standard ModelJul 14 2004We study the strength of effective CP violation originating from the CKM matrix in the effective action obtained by integrating out the fermions in the Standard Model. Using results obtained by Salcedo for the effective action in a general chiral gauge ... More

Local reflexion spacesJul 01 2012A reflexion space is generalization of a symmetric space introduced by O. Loos. We generalize locally symmetric spaces to local reflexion spaces in the similar way. We investigate, when local reflexion spaces are equivalently given by a locally flat Cartan ... More

C*-Multipliers, crossed product algebras, and canonical commutation relationsJul 09 1999Mar 20 2000The notion of a multiplier of a group X is generalized to that of a C*-multiplier by allowing it to have values in an arbitrary C*-algebra A. On the other hand, the notion of the action of X in A is generalized to that of a projective action of X as linear ... More

Generalised Hilbert Numerators IIMar 16 2000We associate to each $r$-multigraded, locally finitely generated ideal in the "large polynomial ring" on countably many indeterminates a power series in $r$ variables; this power series is the limit in the adic topology of the numerators of the rational ... More

A Brief Tutorial on the Ensemble Kalman FilterJan 23 2009The ensemble Kalman filter (EnKF) is a recursive filter suitable for problems with a large number of variables, such as discretizations of partial differential equations in geophysical models. The EnKF originated as a version of the Kalman filter for ... More

Validity of the Impulse Approximation and Quasielastic (e,e'p) Reactions from NucleiDec 20 2000We assess the combined effect of ground-state correlations, meson-exchange and isobar currents upon the cross sections for quasielastic (e,e'p) reactions from nuclei. Four-momenta in the range 0.1 \leq Q^2 \leq 1 GeV^2 are addressed. We observe that for ... More

History of Solar Magnetic Fields since George Ellery HaleAug 13 2015As my own work on the Sun's magnetic field started exactly 50 years ago at Crimea in the USSR, I have been a participant in the field during nearly half the time span since Hale's discovery in 1908 of magnetic fields in sunspots. The present historical ... More

Soficity for monoids, semigroups, and general dynamical systemsAug 09 2015We examine several definitions of soficity for monoids obtained by generalizing various definitions of sofic groups. They are not all equivalent and include the definition recently introduced by Ceccherini-Silberstein and Coornaert. One of these definitions ... More

Vortex invariants and toric manifoldsDec 01 2008We consider the symplectic vortex equations for a linear Hamiltonian torus action. We show that the associated genus zero moduli space itself is homotopic (in the sense of a homotopy of regular G-moduli problems) to a toric manifold with combinatorial ... More

On the Hard Lefschetz property of stringy Hodge numbersMar 08 2008For projective varieties with a certain class of 'mild' isolated singularities and for projective threefolds with arbitrary Gorenstein canonical singularities, we show that the stringy Hodge numbers satisfy the Hard Lefschetz property. This result fits ... More

Existence of piecewise weak solutions of a discrete Cucker-Smale's flocking model with a singular communication weightFeb 18 2013We prove existence of global $C^1$ piecewise weak solutions for the discrete Cucker-Smale's flocking model with the communication weight $\psi(s)=s^{-\alpha}, 0<\alpha<1.$ We also discuss the possibility of finite in time alignment of the velocities of ... More

A counterexample to the pseudo 2-factor isomorphic graph conjectureDec 10 2014May 27 2015A graph $G$ is pseudo 2-factor isomorphic if the parity of the number of cycles in a 2-factor is the same for all 2-factors of $G$. Abreu et al. conjectured that $K_{3,3}$, the Heawood graph and the Pappus graph are the only essentially 4-edge-connected ... More

Semistable K3-surfaces with icosahedral symmetryJun 15 2001In a Type III degeneration of K3-surfaces the dual graph of the central fibre is a triangulation of the 2-sphere. We realise the tetrahedral, octahedral and especially the icosahedral triangulation in families of K3-surfaces, preferably with the associated ... More

Jacob's ladders, $\mathcal{Z}_{ζ,Q^2}$-transformation of real elementary functions and telegraphic signals generated by the power functionsFeb 16 2016In this paper we show that the $\mathcal{Z}_{\zeta,Q^2}$-transformation of every unbounded signal based on increasing power function is a telegraphic signal, i.e. the unit rectangular signal.

Deforming nonnormal isolated surface singularities and constructing 3-folds with $\mathbb{P}^1$ as exceptional setDec 11 2015Normally one assumes isolated surface singularities to be normal. The purpose of this paper is to show that it can be useful to look at nonnormal singularities. By deforming them interesting normal singularities can be constructed, such as isolated, non ... More

Jacob's ladders, factorization and metamorphoses as an appendix to the Riemann functional equation for $ζ(s)$ on the critical lineOct 01 2015In this paper we obtain a new set of metamorphoses of the oscillating Q-system by using the Euler's integral. We split the final state of mentioned metamorphoses into three distinct parts: the signal, the noise and finally appropriate error term. We have ... More

The extended states in disordered 1D systems in the presence of the generalized $N$-mer correlationsJul 07 2016Oct 07 2016We have been investigating the problem of the Anderson localization in a disordered one dimensional tight-binding model. The disorder is created by the interaction of mobile particles with other species, immobilized at random positions. We introduce a ... More

An example of a Fraïssé class without a Katětov functorApr 01 2016We disprove a conjecture from [W. Kubi\'s, D. Ma\v{s}ulovi\'c, Kat\v{e}tov functors, preprint, http://arxiv.org/abs/1412.1850] by showing the existence of a Fra\"iss\'e class $\mathcal{C}$ which does not admit a Kat\v{e}tov functor. On the other hand, ... More

Random Matrices and Matrix CompletionSep 26 2016The aim of this note (as well as of the course itself) is to give a largely self-contained proof of two of the main results in the field of low-rank matrix recovery. This field aims for identification of low-rank matrices from only limited linear information ... More

Solving Reachability Problems with Singular and Indefinite Hessian by Sequential Quadratic ProgrammingNov 03 2016The problem of finding a solution of a dynamical system that originates and terminates in given sets of states is considered. We formulate it as an equality constrained nonlinear programming problem and compare line search and trust-region approaches ... More

Supersymmetry Working Group: Summary ReportSep 19 2003This report summarizes the progress in SUSY studies performed during the Extended ECFA/DESY Workshop since the TESLA TDR. Based on accurate future measurements of masses of SUSY particles and the determination of the couplings and mixing properties of ... More

Higgs search in e+e- and gamma-gamma collidersNov 23 1994The prospects for discovering Higgs particles and studying their fundamental properties at future high--energy electron--positron and photon-photon colliders are reviewed. Both the Standard Model Higgs boson and the Higgs particles of its minimal supersymmetric ... More

Double polarisation experiments in meson photoproductionSep 22 2016One of the remaining challenges within the standard model is to gain a good understanding of QCD in the non-perturbative regime. A key step towards this aim is baryon spectroscopy, investigating the spectrum and the properties of baryon resonances. To ... More

Long-lived charged sleptons at the ILC/CLICNov 09 2012Supersymmetric scenarios with a very weakly interacting lightest superpartner (LSP) - like the gravitino or axino - naturally give rise to a long-lived next-to-LSP (NLSP). If the NLSP is a charged slepton it leaves a very distinct signature in a collider ... More

A geometric construction of panel-regular lattices in buildings of types ~A_2 and ~C_2Aug 19 2009May 04 2010Using Singer polygons, we construct locally finite affine buildings of types ~A_2 and ~C_2 which admit uniform lattices acting regularly on panels. This construction produces very explicit descriptions of these buildings as well as very short presentations ... More

Quantum E(2) groups and Lie bialgebra structuresMar 12 1996Lie bialgebra structures on $e(2)$ are classified. For two Lie bialgebra structures which are not coboundaries (i.e. which are not determined by a classical $r$-matrix) we solve the cocycle condition, find the Lie-Poisson brackets and obtain quantum group ... More

Gradient flows of the entropy for finite Markov chainsFeb 25 2011Jun 16 2011Let K be an irreducible and reversible Markov kernel on a finite set X. We construct a metric W on the set of probability measures on X and show that with respect to this metric, the law of the continuous time Markov chain evolves as the gradient flow ... More

On the Hadamard condition on Robertson-Walker spacetimeSep 04 2006Using construction of adiabatic vacuum states of a free scalar field on Robertson-Walker spacetime, using results of Luders and Roberts we prove that validity of the Hadamard condition implies smoothness of the scale factor.

Poincare series and zeta function for an irreducible plane curve singularityOct 15 2003The Poincare series of an irreducible plane curve singularity equals the zeta function of its monodromy, by a result of Campillo, Delgado and Gusein-Zade. We derive this fact from a formula of Ebeling and Gusein-Zade relating the Poincare series of a ... More

A conjecture on the Poincar{é}-Betti series of modules of differential operators on a generic hyperplane arrangementAug 31 2004Sep 03 2004Holm studied modules of higher order differential operators (generalising derivations) on generic (central) hyperplane arrangements. We use his results to determine the Hilbert series of these modules. We also give a conjecture about the Poincar{\'e}-Betti ... More

Non-unique factorizations, land surveying and electricityFeb 15 2010Feb 19 2010Non-unique factorizations theory, which started in algebraic number theory, over the years has expanded into several areas of mathematics. Here, we propose yet another branching. We show that some concepts of factorizations theory, such as half factorial ... More

Minkowski space is locally the Noldus limit of a Poisson process causetMar 30 2016A poisson process $P_{\lambda}$ on $\mathbb{R}^{d}$ with causal structure inherited from the the usual Minkowski metric on $\mathbb{R}^{d}$ has a normalised discrete causal distance $D_{\lambda}(x,y)$ given by the height of the longest causal chain normalised ... More

Almost conformally almost Fedosov structuresOct 16 2017We study the relations between the projective and the almost conformally symplectic structures on a smooth even dimensional manifold. We describe these relations by a single almost conformally symplectic connection with totally trace--free torsion sharing ... More