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On covariant phase space methodsMay 08 2002It is well known that the Lagrangian and the Hamiltonian formalisms can be combined and lead to "covariant symplectic" methods. For that purpose a "pre-symplectic form" has been constructed from the Lagrangian using the so-called Noether form. However, ... More

Uniqueness of $\mathcal{N}=2$ and $3$ pure supergravities in 4DFeb 08 2018Dec 14 2018After proving the impossibility of consistent non-minimal coupling of a real Rarita-Schwinger gauge field to electromagnetism, we re-derive the necessity of introducing the graviton in order to couple a complex Rarita-Schwinger gauge field to electromagnetism, ... More

Superfield T-duality rules in ten dimensions with one isometryDec 28 2003Jan 07 2004In this contribution we present the superfield T-duality rules relating type IIA and type IIB supergravity potentials for the case when both type IIA and type IIB superspaces have (at least) one isometry direction. We also give a brief review of T-duality ... More

Electric-magnetic duality beyond four dimensions and in general RelativityDec 27 2005After reviewing briefly the classical examples of duality in four dimensional field theory we present a generalisation to arbitrary dimensions and to p-form fields. Then we explain how U-duality may become part of a larger non abelian V-symmetry in superstring/supergravity ... More

U-opportunities: why is ten equal to ten ?Sep 20 2002It seems to me at this time that two recent developments may permit fast progress on our way to understand the symmetry structure of toroidally (compactified and) reduced M-theory. The first indication of a (possibly) thin spot in the wall that prevents ... More

Twisted Self-Duality of Dimensionally Reduced Gravity and Vertex OperatorsDec 30 1997The Geroch group, isomorphic to the SL(2,R) affine Kac-Moody group, is an infinite dimensional solution generating group of Einstein's equations with two surface orthogonal commuting Killing vectors. We introduce another solution generating group for ... More

Hyperbolic billiards of pure D=4 supergravitiesApr 28 2003We compute the billiards that emerge in the Belinskii-Khalatnikov-Lifshitz (BKL) limit for all pure supergravities in D=4 spacetime dimensions, as well as for D=4, N=4 supergravities coupled to k (N=4) Maxwell supermultiplets. We find that just as for ... More

Supergravities from fields to branesJul 02 2001The quest for unification of particles and fields and for reconciliation of Quantum Mechanics and General Relativity has led us to gauge theories, string theories, supersymmetry and higher-extended objects: membranes... Our spacetime is quantum mechanical ... More

Superfield T-duality rulesMar 09 2003Jan 10 2004A geometric treatment of T-duality as an operation which acts on differential forms in superspace allows us to derive the complete set of T-duality transformation rules which relate the superfield potentials of D=10 type IIA supergravity with those of ... More

Magic N=2 supergravities from hyper-free superstringsDec 18 2007Feb 14 2008We show by explicit construction the existence of various four dimensional models of type II superstrings with N=2 supersymmetry, purely vector multiplet spectrum and no hypermultiplets. Among these, two are of special interest, at the field theory level ... More

Uniqueness of $\mathcal{N}=2$ and $3$ pure supergravities in 4DFeb 08 2018After proving the impossibility of consistent non-minimal coupling of a real Rarita-Schwinger gauge field to electromagnetism, we re-derive the necessity of introducing the graviton in order to couple a complex Rarita-Schwinger gauge field to electromagnetism, ... More

Borcherds symmetries in M-theoryMar 07 2002May 07 2002It is well known but rather mysterious that root spaces of the $E_k$ Lie groups appear in the second integral cohomology of regular, complex, compact, del Pezzo surfaces. The corresponding groups act on the scalar fields (0-forms) of toroidal compactifications ... More

$E_{11}$, Borcherds algebras and maximal supergravityJul 29 2010Mar 22 2012The dynamical $p$-forms of torus reductions of maximal supergravity theory have been shown some time ago to possess remarkable algebraic structures. The set ("dynamical spectrum") of propagating $p$-forms has been described as a (truncation of a) real ... More

Symmetries in M-theory: Monsters, IncMar 20 2003We will review the algebras which have been conjectured as symmetries in M-theory. The Borcherds algebras, which are the most general Lie algebras under control, seem natural candidates.

Real Borcherds Superalgebras and M-theoryDec 31 2002May 02 2003The correspondence between del Pezzo surfaces and field theory models over the complex numbers or for split real forms is extended to other real forms, in particular to those compatible with supersymmetry. Specifically, all theories of the Magic triangle ... More

Gravitational duality near de Sitter spaceJul 27 2005Feb 19 2008Gravitational instantons ''Lambda-instantons'' are defined here for any given value Lambda of the cosmological constant. A multiple of the Euler characteristic appears as an upper bound for the de Sitter action and as a lower bound for a family of quadratic ... More

Approaches to Quantum Error CorrectionDec 21 2006The purpose of this little survey is to give a simple description of the main approaches to quantum error correction and quantum fault-tolerance. Our goal is to convey the necessary intuitions both for the problems and their solutions in this area. After ... More

Plane curves of fixed bidegree and their $A_k$-singularitiesAug 15 2018We provide a tool how one can view a polynomial on the affine plane of bidegree $(a,b)$ - by which we mean that its Newton polygon lies in the triangle spanned by $(a,0)$, $(0,b)$ and the origin - as a curve in a Hirzebruch surface having nice geometric ... More

Representations and Cohomology of finite group schemesSep 24 2014The article covers developments in the representation theory of finite group schemes over the last fifteen years. We start with the finite generation of cohomology of a finite group scheme and proceed to discuss various consequences and theories that ... More

Dynamics of Plant Growth; A Theory Based on Riemannian GeometryFeb 04 2016In this work, a new model for macroscopic plant tissue growth based on dynamical Riemannian geometry is presented. We treat 1D and 2D tissues as continuous, deformable, growing geometries for sizes larger than 1mm. The dynamics of the growing tissue are ... More

On Vertex Sparsifiers with Steiner NodesApr 12 2012Given an undirected graph $G=(V,E)$ with edge capacities $c_e\geq 1$ for $e\in E$ and a subset $T$ of $k$ vertices called terminals, we say that a graph $H$ is a quality-$q$ cut sparsifier for $G$ iff $T\subseteq V(H)$, and for any partition $(A,B)$ of ... More

Transfer to characteristic zero: appendix to "Fundamental Lemma of Jacquet-Rallis in positive characteristics" by Zhiwei YunMay 04 2010This appendix shows that the Fundamental lemma of Jacquet-Rallis, proved by Zhiwei Yun in the positive charactersitic case, is also true in characteristic zero, when residue characteristic is sufficiently large. In fact, this follows immediately from ... More

A solvable counterexample to the Hambleton-Taylor-Williams ConjectureOct 05 2016Feb 06 2017I. Hambleton, L. Taylor and B. Williams conjectured a general formula in spirit of H. Lenstra for the decomposition of $G_n(RG)$ for any finite group $G$ and noetherian ring $R.$ The conjectured decomposition was shown to hold for some large classes of ... More

On uniform convergence in ergodic theorems for a class of skew product transformationsSep 17 2007Oct 07 2007Consider a class of skew product transformations consisting of an ergodic or a periodic transformation on a probability space (M, B, m) in the base and a semigroup of transformations on another probability space (W,F,P) in the fibre. Under suitable mixing ... More

The L^2 signature of torus knotsJan 08 2010Jun 25 2010We find a formula for the L2 signature of a (p,q) torus knot, which is the integral of the omega-signatures over the unit circle. We then apply this to a theorem of Cochran-Orr-Teichner to prove that the n-twisted doubles of the unknot, for n not 0 or ... More

Attracting Random WalksMar 01 2019This paper introduces the Attracting Random Walks model, which describes the dynamics of a system of particles on a graph with certain attraction properties. In the model, particles move between adjacent vertices of a graph $\mathcal{G}$, with transition ... More

Measure and Hausdorff dimension of randomized Weierstrass-type functionsDec 10 2013In this paper we consider functions of the type $$f(x) = \sum_{n=0}^\infty a_n g(b_nx+\theta_n),$$ where $(a_n)$ are independent random variables uniformly distributed on $(-a^n, a^n)$ for some $0<a<1$, $b_{n+1}/b_n \geq b >1$, $a^2b> 1$ and $g$ is a ... More

Hyperbolic Kac-Moody Algebras and Chaos in Kaluza-Klein ModelsMar 13 2001Some time ago, it was found that the never-ending oscillatory chaotic behaviour discovered by Belinsky, Khalatnikov and Lifshitz (BKL) for the generic solution of the vacuum Einstein equations in the vicinity of a spacelike ("cosmological") singularity ... More

Counterterms in type I SupergravitiesNov 19 1999We compute the one-loop divergences of D=10, N=1 supergravity and of its reduction to D=8. We study the tensor structure of the counterterms appearing in D=8 and D=10 and compare these to expressions previously found in the low energy expansion of string ... More

Cosmological billiards and oxidationDec 22 2003Feb 06 2004We show how the properties of the cosmological billiards provide useful information (spacetime dimension and $p$-form spectrum) on the oxidation endpoint of the oxidation sequence of gravitational theories. We compare this approach to the other available ... More

A note on "gaugings" in four spacetime dimensions and electric-magnetic dualitySep 18 2017Sep 26 2017The variety of consistent "gauging" deformations of supergravity theories in four dimensions depends on the choice of Lagrangian formulation. One important goal is to get the most general deformations without making hidden assumptions. Ignoring supersymmetry ... More

A review of the effects of chemical and phase segregation on the mechanical behaviour of multi-phase steelsApr 21 2016In the drive towards higher strength alloys, a diverse range of alloying elements is employed to enhance their strength and ductility. Limited solid solubility of these elements in steel leads to segregation during casting which affects the entire down-stream ... More

Some resonances of Lojasiewicz inequalitiesMar 02 2012This note presents three resonances in commutative algebra and analytic geometry of the concept of Lojasiewicz inequality. The first is the interpretation in complex analytic geometry of the best possible exponent for a function g with respect to an ideal ... More

Analysis of Constrained Willmore SurfacesNov 19 2012This paper studies the regularity of constrained Willmore immersions into $\R^{m\ge3}$ locally around both "regular" points and around branch points, where the immersive nature of the map degenerates. We develop local asymptotic expansions for the immersion, ... More

Structure of baryons in a relativistic quark modelAug 28 2003Baryonic excitation spectra, electroweak and strong decay properties are discussed within a relativistically covariant constituent quark model based on the instantaneous approximation to the three-body Bethe-Salpeter equation.

Géométrie et cognition; l'exemple du continuJun 24 2008In this paper I propose the idea to establish a clear distinction between the foundations of truth and the foundations of meaning in Mathematics. I explore on the most basic example, the mathematical line, the possibility that the foundations of its meaning ... More

Derivations and Projections on Jordan Triples. An introduction to nonassociative algebra, continuous cohomology, and quantum functional analysisJun 04 2012Dec 10 2015This paper is an elaborated version of the material presented by the author in a three hour minicourse at "V International Course of Mathematical Analysis in Andalusia," Almeria, Spain, September 12-16, 2011. Part I is devoted to an exposition of the ... More

Fluctuation analysis with cell deathsJul 18 2012May 29 2013The classical Luria-Delbr\"uck model for fluctuation analysis is extended to the case where cells can either divide or die at the end of their generation time. This leads to a family of probability distributions generalizing the Luria-Delbr\"uck family, ... More

Techniques of Proton Radiotherapy: Transport TheoryApr 19 2012Apr 29 2012These are notes for the lecture on Transport Theory in a one-week intensive course, "Techniques of Proton Radiotherapy". Topics are: Phase space diagrams: model beam line-effect of a scatterer-effect of a drift-the beam ellipse-phase space diagrams for ... More

Alberti's letter countsOct 26 2012Four centuries before modern statistical linguistics was born, Leon Battista Alberti (1404--1472) compared the frequency of vowels in Latin poems and orations, making the first quantified observation of a stylistic difference ever. Using a corpus of 20 ... More

Polynomial-exponential decomposition from momentsSep 19 2016Oct 04 2016We analyze the decomposition problem of multivariate polynomial-exponential functions from truncated series and present new algorithms to compute their decomposition. Using the duality between polynomials and formal power series, we first show how the ... More

Results on conventional and exotic charmonium at BaBarNov 05 2013The B factories provide a unique playground for studying the properties of conventional and exotic charmonium states. We present recent results in initial state radiation and two-photon fusion, obtained using the full data set collected by the BaBar experiment. ... More

HARPO - A Gaseous TPC for High Angular Resolution Gamma-Ray Astronomy and Polarimetry from the MeV to the TeVOct 16 2012We propose a "thin" detector as a high-angular-precision telescope and polarimeter for cosmic gamma-rays above the pair-creation threshold. We have built a demonstrator based on a gaseous TPC. We are presently characterizing the detector with charged ... More

Comment on : "Neutrino Velocity Anomalies: A Resolution without a Revolution"Oct 11 2011I comment on a recent preprint "Neutrino Velocity Anomalies: A Resolution without a Revolution" that appeared recently as arXiv:1110.0989 [hep-ph]

Conformal field theories in random domains and stochastic Loewner evolutionsSep 08 2003We review the recently developed relation between the traditional algebraic approach to conformal field theories and the more recent probabilistic approach based on stochastic Loewner evolutions. It is based on implementing random conformal maps in conformal ... More

An Introduction to Yangian SymmetriesNov 30 1992Dec 01 1992We review some aspects of the quantum Yangians as symmetry algebras of two-dimensional quantum field theories. The plan of these notes is the following: 1 - The classical Heisenberg model: Non-Abelian symmetries; The generators of the symmetries and the ... More

Geometric Phase Atom Optics and InterferometryJan 08 2015Aug 18 2015We illustrate how geometric gauge forces and topological phase effects emerge in quantum systems without employing assumptions that rely on adiabaticity. We show how geometric magnetism may be harnessed to engineer novel quantum devices including a velocity ... More

The asymptotic behaviour of solutions of forced Burgers equation on the circleMar 27 2003We describe the asymptotic behaviour of solutions of unviscid Burgers equation on the circle with time-periodic forcing. These solutions converge to periodic states, but the period of these limit states may be greater than the period of the forcing. We ... More

Algebraic theories in homotopy theoryOct 09 2001Nov 22 2004An algebraic theory $T$ is a category with objects $t_0,t_2...$ such that for each $n$ the object $t_n$ is an $n$-fold categorical product of $t_1$. A strict $T$-algebra is a product preserving functor $A: T\to Spaces$. Lawvere showed that for a suitable ... More

The Stationary Phase Approximation, Time-Frequency Decomposition and Auditory ProcessingAug 29 2012The principle of stationary phase (PSP) is re-examined in the context of linear time-frequency (TF) decomposition using Gaussian, gammatone and gammachirp filters at uniform, logarithmic and cochlear spacings in frequency. This necessitates consideration ... More

Do Cell Phones Cause Cancer?Jul 13 2010Do cell phones, household electrical power wiring or appliance, or high voltage power lines cause cancer? Fuggedaboudit! No way! When pigs fly! When I'm the Pope! Don't text while you're driving, however, or eat your cell phone. All organisms absorb microwave ... More

Recognition principle for generalized Eilenberg-Mac Lane spacesOct 09 2001We give a homotopy theoretical characterization of generalized Eilenberg-Mac Lane spaces, modeled after Segal's characterization of infinite loop spaces via Gamma spaces.

TPC in gamma-ray astronomy above pair-creation thresholdNov 07 2012We examine the performance of a TPC as a gamma-ray telescope above the pair-creation threshold. The contributions to the photon angular resolution are studied and their dependence on energy is obtained. The effective area per detector unit mass for such ... More

Laser Wakefield Acceleration of Particle in a PlasmaMay 17 2005A review of the present situation and perspectives, in particular in the scope of a multi-Tev linear accelerator.

On The Three Point Velocity Correlation Functions in 2d Forced TurbulenceFeb 11 1999Feb 18 1999We present a simple exact formula for the three point velocity correlation functions in two dimensional turbulence which is valid on all scales and which interpolates between the direct and inverse cascade regimes. As expected, these correlation functions ... More

On Symmetries of Some Massless 2D Field TheoriesJan 06 1992We describe few aspects of the quantum symmetries of some massless two-dimensional field theories. We discuss their relations with recent proposals for the factorized scattering theories of the massless $PCM_1$ and $O(3)_{\theta=\pi}$ sigma models. We ... More

Influence of Friction on the Direct Cascade of the 2d Forced TurbulenceApr 20 1999Mar 10 2000We discuss two possible scenario for the direct cascade in two dimensional turbulent systems in presence of friction which differ by the presence or not of enstrophy dissipation in the inviscid limit.They are distinguished by the existence or not of a ... More

Low-energy hadronic cross sections measurements at BABAR and g-2 of the muonJul 25 2016The LO hadronic vacuum polarization (VP) contribution to the muon anomalous magnetic moment $a_\mu$ is obtained as the integral as a function of energy of an expression that involves the ratio of the $e^+e^- \rightarrow \mathrm{hadron}$ cross section ... More

Compton polarimetry revisitedJul 10 2015Aug 03 2015I compute the average polarisation asymmetry from the Klein-Nishina differential cross section on free electrons at rest. As expected from the expression for the asymmetry, the average asymmetry is found to decrease like the inverse of the incident photon ... More

Stationary Charged Scalar Clouds around Black Holes in String TheoryAug 21 2016Oct 06 2016It was reported that Kerr-Newman black holes can support linear charged scalar fields in their exterior regions. These stationary massive charged scalar fields can form bound states, which are called stationary scalar clouds. In this paper, we show that ... More

Computing huge Groebner basis like cyclic10 over $\Q$ with GiacMar 29 2019We present a short description on how to fine-tune the modular algorithm implemented in the Giac computer algebra system to reconstruct huge Groebner basis over $\Q$.The classical cyclic10 benchmark will serve as example.

Symplectic aspects of Aubry-Mather theoryJun 01 2005We prove that the so-called Aubry and Mane sets introduced by John Mather in Lagrangian dynamics are symplectic invariants. In order to do so, we introduce a barrier in phase space, and propose definitions of Aubry and Mane sets for non-convex Hamiltonian ... More

A case of mathematical eponymy: the Vandermonde determinantApr 20 2012We study the historical process that led to the worldwide adoption, throughout mathematical research papers and textbooks, of the denomination "Vandermonde determinant". The mathematical object can be related to two passages in Vandermonde's writings, ... More

Tiles and colorsMay 17 2000Tiling models are classical statistical models in which different geometric shapes, the tiles, are packed together such that they cover space completely. In this paper we discuss a class of two-dimensional tiling models in which the tiles are rectangles ... More

Convergence of random zeros on complex manifoldsAug 21 2007We show that the zeros of random sequences of Gaussian systems of polynomials of increasing degree almost surely converge to the expected limit distribution under very general hypotheses. In particular, the normalized distribution of zeros of systems ... More

Hadronic Contributions to R and g-2 from Initial-State-Radiation DataOct 19 2009I review the recent efforts to improve the precision of the prediction of the anomalous moment of the muon, in particular of the hadronic contribution of the vacuum polarization, which is the contribution with the largest uncertainty. Focus is given to ... More

Polarimetry of cosmic gamma-ray sources above e+e- pair creation thresholdJul 15 2013Sep 26 2013We examine the potential for gamma-ray conversion to electron-positron pairs, either in the field of a nucleus or of an electron of a detector, to measure the fraction P of linear polarization of cosmic gamma sources. For this purpose we implement, validate ... More

Some Simple (Integrable) Models of Fractional StatisticsNov 02 1994In the first part, we introduce the notion of fractional statistics in the sense of Haldane. We illustrate it on simple models related to anyon physics and to integrable models solvable by the Bethe ansatz. In the second part, we describe the properties ... More

On the scattering power of radiotherapy protonsAug 10 2009Scattering power (T = d/dx of mean squared multiple Coulomb scattering (MCS) angle), as used in proton transport theory, is properly viewed as a differential description of the Gaussian approximation to MCS theories such as Moliere's. That is, we seek ... More

Small first zeros of L-functionsApr 25 2014From a family of L-functions with unitary symmetry, Hughes and Rudnick obtained results on the height of its lowest zero. We extend their results to other families of Lfunctions according to the type of symmetry coming from statistics for low-lying zeros. ... More

Chiral Perturbation Theory and Baryon PropertiesJun 03 2007Theoretical as well as experimental progress has been made in the last decade in describing the properties of baryons. In this review I will mostly report on the theoretical issues. Two non-perturbative methods are privileged frameworks for studying these ... More

Fluctuation analysis: can estimates be trusted?May 14 2013Sep 10 2013The estimation of mutation probabilities and relative fitnesses in fluctuation analysis is based on the unrealistic hypothesis that the single-cell times to division are exponentially distributed. Using the classical Luria-Delbr\"{u}ck distribution outside ... More

Polynomial-exponential decomposition from momentsSep 19 2016We analyze the decomposition problem of multivariate polynomial-exponential functions from truncated series and present new algorithms to compute their decomposition. Using the duality between polynomials and formal power series, we first show how the ... More

1827 : la mode de la statistique en France; origine, extension, personnagesOct 06 2014Independent to a great extent from the scientific development of the discipline, a trend for statistics has developed in France, from 1827 on. It was probably sparked by Charles Dupin's 'Carte figurative de l'instruction populaire', with its famous Saint-Malo ... More

Baryonic and Non-Baryonic Dark MatterAug 01 2000Cosmological nucleosynthesis calculations imply that there should be both non-baryonic and baryonic dark matter. Recent data suggest that some of the non-baryonic dark matter must be "hot" (i.e. massive neutrinos) and there may also be evidence for "cold" ... More

Overweight deformations of affine toric varieties and local uniformizationJan 21 2014Feb 09 2016We study Abhyankar valuations of excellent equicharacteristic local domains with an algebraically closed residue field. For zero dimensional valuations we prove that whenever the ring is complete and the semigroup of values taken by the valuation is finitely ... More

Jacobian Newton Polyhedra and equisingularityMar 26 2012This is the LaTeX version of the handwritten notes of a lecture at the Kyoto Singularities Symposium held at the RIMS in April 1978. It presents the relationship of various invariants of isolated singularities of complex analytic hypersurfaces with the ... More

Canonical variables for multiphase solutions of the KP equationNov 09 1998The KP equation has a large family of quasiperiodic multiphase solutions. These solutions can be expressed in terms of Riemann-theta functions. In this paper, a finite-dimensional canonical Hamiltonian system depending on a finite number of parameters ... More

The origins and concentrations of water, carbon, nitrogen and noble gases on EarthMay 24 2014The isotopic compositions of terrestrial hydrogen and nitrogen are clearly different from those of the nebular gas from which the solar system formed, and also differ from most of cometary values. Terrestrial N and H isotopic compositions are in the range ... More

Une propriété de transfert en approximation diophantienneJan 06 2016Given a vector $\omega \in \mathbb{R}^n$,the sequence $T_i$ of periods is defined as the sequence of times of best returns near the origin of the translation $x \longmapsto x+\omega$ on the torus $\mathbb{T}^n$. In the present paper, we study how the ... More

Dual canonical bases, quantum shuffles and q-charactersSep 11 2002Jun 17 2003Rosso and Green have shown how to embed the positive part $U_q(n)$ of a quantum enveloping algebra $U_q(g)$ in a quantum shuffle algebra. In this paper we study some properties of the image of the dual canonical basis $B^*$ of $U_q(n)$ under this embedding ... More

On degenerate sigma-functions of genus twoSep 04 2015Dec 18 2015We obtain explicit expressions for genus 2 degenerate sigma-function in terms of genus $1$ sigma-function and elementary functions as solutions of a system of linear PDEs satisfied by the sigma-function. By way of application we derive a solution for ... More

Charge diffusion and the butterfly effect in striped holographic matterAug 10 2016Recently, it has been proposed that the butterfly velocity - a speed at which quantum information propagates - may provide a fundamental bound on diffusion constants in dirty incoherent metals. We analytically compute the charge diffusion constant and ... More

Infrared Imaging of SDSS Quasars: Implications for the Quasar K correctionSep 02 2008We have imaged 45 quasars from the Sloan Digital Sky Survey (SDSS) with redshifts 1.85 < z < 4.26 in JHKs with the KPNO SQIID imager. By combining these data with optical magnitudes from the SDSS we have computed the restframe optical spectral indices ... More

A model category structure on the category of simplicial categoriesJun 24 2004Aug 08 2005In this paper we put a cofibrantly generated model category structure on the category of small simplicial categories. The weak equivalences are a simplicial analogue of the notion of equivalence of categories.

Asymptotics of parameterized exponential integrals given by Brownian motion on globally subanalytic setsOct 19 2017We consider parameterized exponential integrals coming from the time evolution of the probability distribution of Brownian motion on globally subanalytic sets. We establish definability results and asymptotic expansions.

Special tilting modules for algebras with positive dominant dimensionMay 09 2017We study a set of uniquely determined tilting and cotilting modules for an algebra with positive dominant dimension, with the property that they are generated or cogenerated (and usually both) by projective-injectives. These modules have various interesting ... More

Equivalence of models for equivariant $(\infty, 1)$-categoriesJul 31 2014Oct 03 2014In this paper we show that the known models for $(\infty, 1)$-categories can all be extended to equivariant versions for any discrete group $G$. We show that in two of the models we can also consider actions of any simplicial group $G$.

Complete Segal spaces arising from simplicial categoriesApr 12 2007Oct 11 2007In this paper, we compare several functors which take simplicial categories or model categories to complete Segal spaces, which are particularly nice simplicial spaces which, like simplicial categories, can be considered to be models for homotopy theories. ... More

A Blow-up Criterion for the Curve Diffusion Flow with a Contact AngleOct 16 2018We prove a blow-up criterion in terms of an $L_2$-bound of the curvature for solutions to the curve diffusion flow if the maximal time of existence is finite. In our setting, we consider an evolving family of curves driven by curve diffusion flow, which ... More

On the linearization of identifying the stored energy function of a hyperelastic material from full knowledge of the displacement fieldNov 13 2015We consider the nonlinear,inverse problem of computing the stored energy function of a hyperelastic material from the full knowledge of the displacement field. The displacement field is described as solution of the nonlinear, dynamic, elastic wave equation, ... More

Adding inverses to diagrams encoding algebraic structuresOct 09 2006Jan 02 2013We modify a previous result, which showed that certain diagrams of spaces are essentially simplicial monoids, to construct diagrams of spaces which model simplicial groups. Furthermore, we show that these diagrams can be generalized to models for Segal ... More

The expansion by regions in pi K scatteringMar 21 2006May 12 2006We discuss a number of two loop (vertex) integrals relevant for pi K scattering at threshold. As such these are functions of two well separated mass scales, M\_pi/M\_K << 1. The method of regions allows an expansion in this mass ratio prior to the integration. ... More

Simplicial monoids and Segal categoriesAug 22 2005Oct 04 2006Much research has been done on structures equivalent to topological or simplicial groups. In this paper, we consider instead simplicial monoids. In particular, we show that the usual model category structure on the category of simplicial monoids is Quillen ... More

Adding inverses to diagrams II: Invertible homotopy theories are spacesOct 11 2007Jan 02 2013In previous work, we showed that there are appropriate model category structures on the category of simplicial categories and on the category of Segal precategories, and that they are Quillen equivalent to one another and to Rezk's complete Segal space ... More

Positive maps, majorization, entropic inequalities, and detection of entanglementNov 21 2008Jul 09 2009In this paper, we discuss some general connections between the notions of positive map, weak majorization and entropic inequalities in the context of detection of entanglement among bipartite quantum systems. First, basing on the fact that any positive ... More

No Strong Parallel Repetition with Entangled and Non-signaling ProversNov 01 2009We consider one-round games between a classical verifier and two provers. One of the main questions in this area is the \emph{parallel repetition question}: If the game is played $\ell$ times in parallel, does the maximum winning probability decay exponentially ... More

Can the beta decay of neutral kaons be observed?Apr 25 2000The rate of the beta decay of neutral kaons is calculated within the meson dominance approach taking into account the relation between the KK\rho and \pi\pi\rho coupling constants which follows from the vector meson dominance in electromagnetic interactions ... More

A Polylogarithimic Approximation Algorithm for Edge-Disjoint Paths with Congestion 2Aug 06 2012In the Edge-Disjoint Paths with Congestion problem (EDPwC), we are given an undirected n-vertex graph G, a collection M={(s_1,t_1),...,(s_k,t_k)} of demand pairs and an integer c. The goal is to connect the maximum possible number of the demand pairs ... More

Role of hyperfine interaction for cavity-mediated coupling between spin qubitsMar 17 2011Apr 19 2012We consider two qubits interacting by means of an optical cavity, where each qubit is represented by a single electron spin confined to a quantum dot. It is known that electron spins in III-V semiconductor quantum dots are affected by the decoherence ... More