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Counting multi-quadratic number fields of bounded discriminantFeb 08 2019Feb 15 2019We prove an asymptotic formula for the number of multi-quadratic number fields of bounded discriminant with a power-saving error term. Furthermore, we explicitly calculate the leading coefficient and extend our result to totally real multi-quadratic number ... More

Counting multi-quadratic number fields of bounded discriminantFeb 08 2019We prove an asymptotic formula for the number of multi-quadratic number fields of bounded discriminant with a power-saving error term. Furthermore, we explicitly calculate the leading coefficient and extend our result to totally real multi-quadratic number ... More

Chiral approach to nuclear matter: Role of explicit short-range NN-termsDec 16 2003We extend a recent chiral approach to nuclear matter by including the most general (momentum-independent) NN-contact interaction. Iterating this two-parameter contact-vertex with itself and with one-pion exchange the emerging energy per particle exhausts ... More

A mass-structured individual-based model of the chemostat: convergence and simulationAug 11 2013Nov 07 2013We propose a model of chemostat where the bacterial population is individually-based, each bacterium is explicitly represented and has a mass evolving continuously over time. The substrate concentration is represented as a conventional ordinary differential ... More

Lambda DeterminantsApr 27 2013In this paper we prove a homogenous generalization of the lambda determinant formula of Mills, Robbins and Rumsey. In our formula the parameters depends on two indices. Our result also extends a recent formula of Di Francesco.

Quantum and classical dynamics of methane scatteringJun 05 2001The dissociation of methane on transition metals is an important reaction in catalysis. It is the rate limiting step in steam reforming to produce syngas. Molecular beam experiments have shown that the energy in the internal vibrations are about as effective ... More

Fast rate of convergence in high dimensional linear discriminant analysisSep 11 2009Feb 19 2010This paper gives a theoretical analysis of high dimensional linear discrimination of Gaussian data. We study the excess risk of linear discriminant rules. We emphasis on the poor performances of standard procedures in the case when dimension p is larger ... More

Alternating sign matrices and tournamentsAug 03 2000Nov 15 2000We settle a question of Bressoud concerning the existence of an explicit bijection from a class of oriented square-ice graphs to a class of tournaments. We give an algorithm constructing such a bijection.

A homotopy-theoretic view of Bott-Taubes integrals and knot spacesOct 10 2008We construct cohomology classes in the space of knots by considering a bundle over this space and "integrating along the fiber" classes coming from the cohomology of configuration spaces using a Pontrjagin-Thom construction. The bundle we consider is ... More

On Rao's Theorems and the Lazarsfeld-Rao PropertyFeb 07 2003Let $X$ be an integral projective scheme satisfying the condition $S_3$ of Serre and $H^1({\mathcal O}_X(n)) = 0$ for all $n \in {\mathbb Z}$. We generalize Rao's theorem by showing that biliaison equivalence classes of codimension two subschemes without ... More

Liaison with Cohen-Macaulay ModulesDec 05 2005We describe some recent work concerning Gorenstein liaison of codimension two subschemes of a projective variety. Applications make use of the algebraic theory of maximal Cohen-Macaulay modules, which we review in an Appendix.

A Shuffle that Mixes Sets of any Fixed Size much Faster than it Mixes the Whole DeckApr 02 2004Consider an n by n array of cards shuffled in the following manner. An element x of the array is chosen uniformly at random; Then with probability 1/2 the rectangle of cards above and to the left of x is rotated 180 degrees, and with probability 1/2 the ... More

Cubic identities for theta series in three variablesSep 20 2000We introduce three-variable analogues of the theta series of Borwein and Borwein. We prove various identities involving these theta series including a generalization of the cubic identity of Borwein and Borwein.

A Hilbert-Kunz function with a periodic term that has a given periodJun 20 2019A result of Monsky states that the Hilbert-Kunz function of a one-dimensional local ring of prime characteristic has a term $\phi$ that is eventually periodic. For example, in the case of a power series ring in one variable over a prime-characteristic ... More

The Planetary Nebula Luminosity Function at the Dawn of GaiaMar 25 2012The [O III] 5007 Planetary Nebula Luminosity Function (PNLF) is an excellent extragalactic standard candle. In theory, the PNLF method should not work at all, since the luminosities of the brightest planetary nebulae (PNe) should be highly sensitive to ... More

Local-entire cyclic cocycles for graded quantum field netsJun 26 2013Feb 17 2014In a recent paper we studied general properties of super-KMS functionals on graded quantum dynamical systems coming from graded translation-covariant quantum field nets over R, and we carried out a detailed analysis of these objects on certain models ... More

Clifford Index of ACM Curves in ${\mathbb P}^3$Apr 27 2001In this paper we review the notions of gonality and Clifford index of an abstract curve. For a curve embedded in a projective space, we investigate the connection between the \ci of the curve and the \gc al properties of its \emb. In particular if $C$ ... More

On the Banach-Mazur Type for Normed SpacesDec 11 2008Jan 05 2009In order to measure qualitative properties we introduce a notion of a type for arbitrary normed spaces which measures the worst possible growth of partial sums of sequences weakly converging to zero. The ideas can be traced back to Banach and Mazur who ... More

Quasilinear elliptic and parabolic Robin problems on Lipschitz domainsApr 27 2011We prove H\"older continuity up to the boundary for solutions of quasi-linear degenerate elliptic problems in divergence form, not necessarily of variational type, on Lipschitz domains with Neumann and Robin boundary conditions. This includes the $p$-Laplace ... More

A-infinity resolutions and the Golod property for monomial ringsDec 08 2016Jun 20 2018Let R=S/I be a monomial ring whose minimal free resolution F is rooted. We describe an A-infinity algebra structure on F. Using this structure, we show that R is Golod if and only if the product on Tor^S(R,k) vanishes. Furthermore, we give a necessary ... More

Semantic Enhancement of Lecture MaterialDec 09 2014Today's lectures are often talks following a straight line of slides. In many lectures the process of content teaching is not as efficient as it could be. Technologies, such as smart-phones and wireless communication, enable a new level of interaction ... More

Some Remarks on the Hyperkähler ReductionJan 10 2017We consider a hyperk\"ahler reduction and describe it via frame bundles. Tracing the connection through the various reductions, we recover the results of Gocho and Nakajima. In addition, we show that the fibers of such a reduction are necessarily totally ... More

On the exponential functional of Markov Additive Processes, and applications to multi-type self-similar fragmentation processes and treesJun 12 2017Oct 03 2018A Markov Additive Process is a bi-variate Markov process $(\xi,J)=\big((\xi_t,J_t),t\geq0\big)$ which should be thought of as a multi-type L\'evy process: the second component $J$ is a Markov chain on a finite space $\{1,\ldots,K\}$, and the first component ... More

An algorithm to explore entanglement in small systemsNov 21 2017Jun 13 2018A quantum state's entanglement across a bipartite cut can be quantified with entanglement entropy or, more generally, Schmidt norms. Using only Schmidt decompositions, we present a simple iterative algorithm to maximize Schmidt norms. Depending on the ... More

Classification of virtual string links up to cobordismFeb 24 2019Cobordism of virtual string links on $n$ strands is a combinatorial generalization of link cobordism. There exists a bijection between virtual string links up to cobordisms and elements of the group $\mathbb{Z}^{n(n-1)}$. This paper also shows that virtual ... More

A note on strong-form stability for the Sobolev inequalityJan 25 2019In this note, we establish a strong form of the quantitive Sobolev inequality in Euclidean space for $p \in (1,n)$. Given any function $u \in \dot W^{1,p}(\mathbb{R}^n)$, the gap in the Sobolev inequality controls $\| \nabla u -\nabla v\|_{p}$, where ... More

Linear Logic without UnitsMay 09 2013We study categorical models for the unitless fragment of multiplicative linear logic. We find that the appropriate notion of model is a special kind of promonoidal category. Since the theory of promonoidal categories has not been developed very thoroughly, ... More

Quantum Multiple ScatteringMar 12 2010The quest for Anderson localization of light is at the center of many experimental and the- oretical activities. Atomic vapors play a particular role in this research field, as they show a number of specific properties which makes them quite different ... More

Distances from Planetary NebulaeJan 15 2003The [O III] 5007 planetary nebula luminosity function (PNLF) occupies an important place on the extragalactic distance ladder. Since it is the only method that is applicable to all the large galaxies of the Local Supercluster, it is uniquely useful for ... More

Causal Models for Estimating the Effects of Weight Gain on MortalityFeb 04 2008Suppose, contrary to fact, in 1950, we had put the cohort of 18 year old non-smoking American men on a stringent mandatory diet that guaranteed that no one would ever weigh more than their baseline weight established at age 18. How would the counter-factual ... More

The International Epsilon Aurigae Campaign 2009-2011. A description of the campaign and early results to May 2010Jan 07 2011In early 2009, immediately following the end of the WR140 periastron campaign (see these proceedings), I turned my telescope back to epsilon Aurigae in time for the start of the eclipse. As well as being an interesting object in its own right, the Pro-Am ... More

N-Gram Cluster Identification During Empirical Knowledge Representation GenerationDec 05 1994This paper presents an overview of current research concerning knowledge extraction from technical texts. In particular, the use of empirical techniques during the identification and generation of a semantic representation is considered. A key step is ... More

PL3: Structure FunctionsJan 14 1998Recent measurements of unpolarised and polarised nucleon structure functions and F_2(gamma) are reviewed. The implications for QCD and the gluon momentum distribution are discussed. The status of the understanding of the total virtual-photon proton total ... More

Risk bounds for purely uniformly random forestsJun 15 2010Random forests, introduced by Leo Breiman in 2001, are a very effective statistical method. The complex mechanism of the method makes theoretical analysis difficult. Therefore, a simplified version of random forests, called purely random forests, which ... More

Lambda-Free Logical FrameworksApr 11 2008Nov 18 2008We present the definition of the logical framework TF, the Type Framework. TF is a lambda-free logical framework; it does not include lambda-abstraction or product kinds. We give formal proofs of several results in the metatheory of TF, and show how it ... More

Enumeration of Cylindric Plane Partitions - part IApr 20 2012Cylindric plane partitions may be thought of as a natural generalization of reverse plane partitions. A generating series for the enumeration of cylindric plane partitions was recently given by Borodin. The first result of this paper is a $(q,t)$-analog ... More

General Fragmentation TreesMar 27 2013Mar 31 2013We show that the genealogy of any self-similar fragmentation process can be encoded in a compact measured real tree. Under some Malthusian hypotheses, we compute the fractal Hausdorff dimension of this tree through the use of a natural measure on the ... More

Periodic points of quadratic polynomials in Galois extensionsOct 04 2016Oct 13 2016For quadratic polynomials with coefficients in a field $k$ of characteristic zero, we seek to understand the periodic points under the actions of its iteration and the absolute Galois group $\mathrm{Gal}(\bar{k}/k)$. Supported by previous numerical work, ... More

A-infinity resolutions and the Golod property for monomial ringsDec 08 2016Let R=S/I be a monomial ring whose minimal free resolution F is rooted. We describe an A-infinity algebra structure on F. Using this structure, we show that R is Golod if and only if the product on Tor^S(R,k) vanishes. Furthermore, we give a necessary ... More

Bott-Taubes/Vassiliev cohomology classes by cut-and-paste topologyDec 21 2015Oct 12 2018Bott and Taubes used integrals over configuration spaces to produce finite-type (a.k.a. Vassiliev) knot invariants. Their techniques were then used to construct "Vassiliev classes" in the real cohomology spaces of knots and links in higher-dimensional ... More

Tree-indexed processesApr 05 2004This article examines a recent body of work on stochastic processes indexed by a tree. Emphasis is on the application of this new framework to existing probability models. Proofs are largely omitted, with references provided.

Combinatorial proofs of q-series identitiesSep 03 2001We provide combinatorial proofs of some of the q-series identities considered by Andrews, Jimenez-Urroz and Ono [q-series identities and values of certain $L$-functions. Duke Math. J. 108 (2001), no. 3, 395--419].

Super-KMS functionals for graded-local conformal netsApr 23 2012Jul 16 2014Motivated by a few preceding papers and a question of R. Longo, we introduce super-KMS functionals for graded translation-covariant nets over R with superderivations, roughly speaking as a certain supersymmetric modification of classical KMS states on ... More

Hyperbolicity and stable polynomials in combinatorics and probabilityOct 11 2012This was the basis of two lectures in the Current Developments in Mathematics conference in 2011. These lectures survey the theory of hyperbolic and stable polynomials, from their origins in the theory of linear PDE's to their present uses in combinatorics ... More

Approximation of the Semigroup generated by the Robin Laplacian in terms of the Gaussian SemigroupJul 09 2008For smooth bounded open sets in euclidean space, we construct corresponding contractive linear extension operators for the space of continuous functions which preserve regularity of functions in the domain of the Robin Laplacian. We also prove a Trotter-like ... More

Potentially diagonalisable lifts with controlled Hodge--Tate weightsDec 05 2018Apr 28 2019Motivated by the weight part of Serre's conjecture we consider the following question. Let $K/\mathbb{Q}_p$ be a finite extension and suppose $\overline{\rho} \colon G_K \rightarrow \operatorname{GL}_n(\overline{\mathbb{F}}_p)$ admits a crystalline lift ... More

Time and place of the maximum for one-dimensional diffusion bridges and meandersJul 23 2018For three constrained Brownian motions, the excursion, the meander, and the reflected bridge, the densities of the maximum and of the time to reach it were expressed as double series by Majumdar, Randon-Furling, Kearney, and Yor (2008). Some of these ... More

Investigation of Algorithms for Highly Nonlinear Model Fitting on Big DatasetsDec 18 2017Dec 19 2017This thesis investigates algorithms regarding their applicability for highly nonlinear model fitting on big datasets. Various mathematical methods are presented with which a model fit using the least squares criterion is possible. Special requirements ... More

Some Comments on Multiple Discovery in MathematicsDec 11 2014Among perhaps many things common to Kuratowski's Theorem in graph theory, Reidemeister's Theorem in topology, and Cook's Theorem in theoretical computer science is this: all belong to the phenomenon of simultaneous discovery in mathematics. We are interested ... More

Inertial and Hodge--Tate weights of crystalline representationsNov 26 2018Apr 28 2019Let $K$ be an unramified extension of $\mathbb{Q}_p$ and $\rho\colon G_K \rightarrow \operatorname{GL}_n(\overline{\mathbb{Z}}_p)$ a crystalline representation. If the Hodge--Tate weights of $\rho$ differ by at most $p$ then we show that these weights ... More

Rational Shi tableaux and the skew length statisticDec 14 2015Sep 15 2016We define two refinements of the skew length statistic on simultaneous core partitions. The first one relies on hook lengths and is used to prove a refined version of the theorem stating that the skew length is invariant under conjugation of the core. ... More

Spin transport in the XXZ model at high temperatures: Classical dynamics versus quantum S=1/2 autocorrelationsOct 30 2011Feb 14 2012The transport of magnetization is analyzed for the classical Heisenberg chain at and especially above the isotropic point. To this end, the Hamiltonian equations of motion are solved numerically for initial states realizing harmonic-like magnetization ... More

Self-gravitating branes of codimension 4 in Lovelock gravityJan 15 2008We construct a familly of exact solutions of Lovelock equations describing codimension four branes with discrete symmetry in the transverse space. Unlike what is known from pure Einstein gravity, where such brane solutions of higher codimension are singular, ... More

An optimal quantum algorithm for the oracle identification problemNov 29 2013Jan 06 2014In the oracle identification problem, we are given oracle access to an unknown N-bit string x promised to belong to a known set C of size M and our task is to identify x. We present a quantum algorithm for the problem that is optimal in its dependence ... More

Potentially diagonalisable lifts with controlled Hodge--Tate weigthsDec 05 2018Motivated by the weight part of Serre's conjecture we consider the following question. Let $K/\mathbb{Q}_p$ be a finite extension and suppose $\overline{\rho} \colon G_K \rightarrow \operatorname{GL}_n(\overline{\mathbb{F}}_p)$ admits a crystalline lift ... More

Inertial and Hodge--Tate weights of crystalline representationsNov 26 2018Let $K$ be an unramified extension of $\mathbb{Q}_p$ and $\rho\colon G_K \rightarrow \operatorname{GL}_n(\overline{\mathbb{Z}}_p)$ a crystalline representation. If the Hodge--Tate weights of $\rho$ differ by at most $p$ then we show that these weights ... More

Cycles in random k-ary maps and the poor performance of random random number generationApr 05 2004Knuth shows that iterations of a random function perform poorly on average as a random number generator. He proposes a generalization in which the next value depends on two or more previous values. This note demonstrates, via an analysis of the cycle ... More

High dimensional gaussian classificationJun 04 2008Jul 10 2008High dimensional data analysis is known to be as a challenging problem. In this article, we give a theoretical analysis of high dimensional classification of Gaussian data which relies on a geometrical analysis of the error measure. It links a problem ... More

The Milnor triple-linking number of string links by cut-and-paste topologySep 27 2012Oct 29 2013Bott and Taubes constructed knot invariants by integrating differential forms along the fiber of a bundle over the space of knots, generalizing the Gauss linking integral. Their techniques were later used to construct real cohomology classes in spaces ... More

Symmetry properties of the Novelli-Pak-Stoyanovskii algorithmMar 20 2014The number of standard Young tableaux of a fixed shape is famously given by the hook-length formula due to Frame, Robinson and Thrall. A bijective proof of Novelli, Pak and Stoyanovskii relies on a sorting algorithm akin to jeu-de-taquin which transforms ... More

Search cost for a nearly optimal path in a binary treeJan 25 2007Sep 01 2009Consider a binary tree, to the vertices of which are assigned independent Bernoulli random variables with mean $p\leq1/2$. How many of these Bernoullis one must look at in order to find a path of length $n$ from the root which maximizes, up to a factor ... More

Towards a theory of negative dependenceApr 05 2004The FKG theorem says that the POSITIVE LATTICE CONDITION, an easily checkable hypothesis which holds for many natural families of events, implies POSITIVE ASSOCIATION, a very useful property. Thus there is a natural and useful theory of positively dependent ... More

Some Examples of Gorenstein Liaison in Codimension ThreeMar 22 2001Oct 02 2001Gorenstein liaison seems to be the natural notion to generalize to higher codimension the well-known results about liaison of varieties of codimension~2 in projective space. In this paper we study points in ${\mathbb P}^3$ and curves in ${\mathbb P}^4$ ... More

Regularity of Solutions of Linear Second Order Elliptic and Parabolic Boundary Value Problems on Lipschitz DomainsJun 29 2009For a linear, strictly elliptic second order differential operator in divergence form with bounded, measurable coefficients on a Lipschitz domain $\Omega$ we show that solutions of the corresponding elliptic problem with Robin and thus in particular with ... More

A property relating the Galois theory and arithmetic dynamics of unicritical polynomialsOct 04 2016Aug 31 2018For the polynomial $\phi_c(z) := z^2 + c$ with rational $c$, Vivaldi and Hatjispyros demonstrated that a subgroup of the Galois group of the $N$-th dynatomic polynomial $\Phi_N$ mimics the action of $\phi_c$ on periodic points of exact period $N$ whenever ... More

Low degree hypersurfaces of projective toric varieties defined over a $C_1$ field have a rational pointJul 25 2014Aug 20 2014Quasi algebraically closed fields, or $C_1$ fields, are defined in terms of a low degree condition. Namely, the field $K$ is $C_1$ if every degree $d$ hypersurface of the projective space $\mathbb{P}_K^n$ contains a $K$-point as soon as $d\leq n$. In ... More

Cohomology of a Quaternionic ComplexJul 18 1995We investigate the cohomology of a certain elliptic complex defined on a compact quaternionic-K\"{a}hler manifold with negative scalar curvature. We show that this particular complex is exact, with the possible exception of one term.

Birkhoff's theorem in Lovelock gravityMay 03 2005We show that the generic solutions of the Lovelock equations with spherical, planar or hyperbolic symmetry are locally isometric to the corresponding static Lovelock black hole. As a consequence, these solutions are locally static: they admit an additional ... More

Decay of currents for strong interactionsMar 25 2011Jul 26 2011The decay of current autocorrelation functions is investigated for quantum systems featuring strong 'interactions'. Here, the term interaction refers to that part of the Hamiltonian causing the (major) decay of the current. On the time scale before the ... More

The Planetary Nebula Luminosity FunctionJul 14 2004The [O III] 5007 planetary nebula luminosity function (PNLF) occupies an important place on the extragalactic distance ladder: it is the only standard candle that can be applied to all the large galaxies of the Local Supercluster. We review the method's ... More

The Planetary Nebula Luminosity Function: Pieces of the PuzzleSep 24 2009Extragalactic surveys in the emission line of [O III] 5007 have provided us with the absolute line strengths of large, homogeneous sets of planetary nebulae. These data have been used to address a host of problems, from the measurement of the extragalactic ... More

Drift-Diffusion in Mangled Worlds Quantum MechanicsMar 18 2003Mar 18 2003In Everett's many worlds interpretation, where quantum measurements are seen as decoherence events, inexact decoherence may let large worlds mangle the memories of observers in small worlds, creating a cutoff in observable world size. I solve a growth-drift-diffusion-absorption ... More

The Bernstein-Sato b-Function of the Space of Cyclic PairsMar 03 2014Jan 09 2015We compute the Bernstein-Sato polynomial of $f$, a function which given a pair $(M,v)$ in $X = M_n(\mathbf{C}) \times \mathbf{C}^n$ tests whether $v$ is a cyclic vector for $M$. The proof includes a description of shift operators corresponding to the ... More

Algebraic TopologyApr 30 2013Sep 10 2013The chapter provides an introduction to the basic concepts of Algebraic Topology with an emphasis on motivation from applications in the physical sciences. It finishes with a brief review of computational work in algebraic topology, including persistent ... More

Reassessment of the GZK cutoff in the spectrum of UHE cosmic rays in a universe with low photon-baryon ratioSep 29 2003A prediction of standard Big Bang cosmology is that the observed UHECR (ultra-high-energy cosmic rays) spectrum will exhibit a cutoff at the GKZ limit, resulting from interaction with the photons that constitute the cosmic microwave background. We show ... More

Conference matrices and unimodular latticesJul 19 2000Conference matrices are used to define complex structures on real vector spaces. Certain lattices in these spaces become modules for rings of quadratic integers. Multiplication of these lattices by non-principal ideals yields simple constructions of further ... More

Inhomogeneous Parabolic Neumann ProblemsAug 31 2011We study second order parabolic equations on Lipschitz domains subject to inhomogeneous Neumann (or, more generally, Robin) boundary conditions. We prove existence and uniqueness of weak solutions and their continuity up to the boundary of the parabolic ... More

Homotopy Bott-Taubes integrals and the Taylor tower for spaces of knots and linksFeb 11 2011Jun 02 2015This work continues the study of a homotopy-theoretic construction of the author inspired by the Bott-Taubes integrals. Bott and Taubes constructed knot invariants by integrating differential forms along the fiber of a bundle over the space of knots. ... More

Chiral dynamics of nuclear matter at finite temperatureFeb 01 2002Jul 17 2002We extend a recent three-loop calculation of nuclear matter in the systematic framework of chiral perturbation theory to finite temperatures T. The contributions from one- and two-pion exchange diagrams which cause nuclear binding and saturation at T=0 ... More

Links between deterministic and stochastic approaches for invasion in growth-fragmentation-death modelsSep 29 2015We present two approaches to study invasion in growth-fragmentation-death mod- els. The first one is based on a stochastic individual based model, which is a piecewise deterministic branching process with a continuum of types, and the second one is based ... More

A numerical approach to determine mutant invasion fitness and evolutionary singular strategiesDec 13 2016May 23 2017We propose a numerical approach to study the invasion fitness of a mutant and to determine evolutionary singular strategies in evolutionary structured models in which the competitive exclusion principle holds. Our approach is based on a dual representation, ... More

$G$-equivariant embedding theorems for CR manifolds of high codimensionOct 23 2018Let $(X,T^{1,0}X)$ be a $(2n+1+d)$-dimensional compact CR manifold with codimension $d+1$, $d\geq1$, and let $G$ be a $d$-dimensional compact Lie group with CR action on $X$ and $T$ be a globally defined vector field on $X$ such that $\mathbb C TX=T^{1,0}X\oplus ... More

Chiral Dynamics and Nuclear MatterMay 22 2001We calculate the equation of state of isospin-symmetric nuclear matter in the three-loop approximation of chiral perturbation theory. The contributions to the energy per particle $\bar E(k_f)$ from one- and two-pion exchange diagrams are ordered in powers ... More

A modeling approach of the chemostatMay 30 2014Population dynamics and in particular microbial population dynamics, though they are complex but also intrinsically discrete and random, are conventionally represented as deterministic differential equations systems. We propose to revisit this approach ... More

Nuclear energy density functional from chiral pion-nucleon dynamicsDec 11 2002We calculate the nuclear energy density functional relevant for N=Z even-even nuclei in the systematic framework of chiral perturbation theory. The calculation includes the one-pion exchange Fock diagram and the iterated one-pion exchange Hartree and ... More

On the variations of the principal eigenvalue with respect to a parameter in growth-fragmentation modelsJan 11 2016Jan 23 2017We study the variations of the principal eigenvalue associated to a growth-fragmentation-death equation with respect to a parameter acting on growth and fragmentation. To this aim, we use the probabilistic individual-based interpretation of the model. ... More

Identifying conversion efficiency as a key mechanism underlying food webs evolution: A step forward, or backward?May 15 2019Body size or mass is generally seen as one of the main factors which structure food webs. A large number of evolutionary models have shown that indeed, the evolution of body size (or mass) can give rise to hierarchically organized trophic levels with ... More

Matter wave speckle observed in an out-of-equilibrium quantum fluidJun 06 2016Jan 23 2019We report the results of a direct comparison of a freely expanding turbulent Bose-Einstein condensate and the propagation of an optical speckle pattern. We found remarkably similar statistical properties underlying the spatial propagation of both phenomena. ... More

Exact joint density-current probability function for the asymmetric exclusion processMar 02 2004We study the asymmetric exclusion process with open boundaries and derive the exact form of the joint probability function for the occupation number and the current through the system. We further consider the thermodynamic limit, showing that the resulting ... More

Limit order market analysis and modelling: on an universal cause for over-diffusive pricesNov 05 2002We briefly review data analysis of the Island order book, part of NASDAQ, which suggests a framework to which all limit order markets should comply. Using a simple exclusion particle model, we argue that short-time price over-diffusion in limit order ... More

Asymptotic and exact results on the complexity of the Novelli--Pak--Stoyanovskii algorithmJun 24 2016The Novelli--Pak--Stoyanovskii algorithm is a sorting algorithm for Young tableaux of a fixed shape that was originally devised to give a bijective proof of the hook-length formula. We obtain new asymptotic results on the average case and worst case complexity ... More

Two-colour photometric selection of high redshift galaxiesMar 24 2001In this paper we describe a set of models to predict the colours of galaxies over a wide range of redshifts. We present example output from the simulations, and discuss their application to the selection of galaxies at high redshifts, particularly through ... More

Synthesis of Galactic Stellar Populations and Expected Constraints from Infrared SurveysJan 24 1994Models of population synthesis for the Galaxy have been developed in order to understand galactic structure and evolution. They allow to test scenarii of evolution by comparisons between model predictions and observed distributions. Forthcoming near-infrared ... More

Incremental Interpretation: Applications, Theory, and Relationship to Dynamic SemanticsMar 13 1995Mar 14 1995Why should computers interpret language incrementally? In recent years psycholinguistic evidence for incremental interpretation has become more and more compelling, suggesting that humans perform semantic interpretation before constituent boundaries, ... More

Smooth solutions and singularity formation for the inhomogeneous nonlinear wave equationMay 16 2011We study the nonlinear inhomogeneous wave equation in one space dimension: $v_{tt} - T(v,x)_{xx} = 0$. By constructing some "decoupled" Riccati type equations for smooth solutions, we provide a singularity formation result without restrictions on the ... More

Gonality of a general ACM curve in projective 3-spaceDec 09 2008Let C be an ACM (projectively normal) nondegenerate smooth curve in projective 3-space, and suppose C is general in its Hilbert scheme - this is irreducible once the postulation is fixed. Answering a question posed by Peskine, we show the gonality of ... More

X-ray refractive index of laser-dressed atomsSep 18 2008Oct 15 2008We investigated the complex index of refraction in the x-ray regime of atoms in laser light. The laser (intensity up to 10^13 W/cm^2, wavelength 800nm) modifies the atomic states but, by assumption, does not excite or ionize the atoms in their electronic ... More

A phase-space study of jet formation in planetary-scale fluidsOct 11 2007Oct 26 2010The interaction between planetary waves and an arbitrary zonal flow is studied from a phase-space viewpoint. Using the Wigner distribution, a planetary wave Vlasov equation is derived that includes the contribution of the mean flow to the zonal potential ... More

Imaging ultrafast electronic motion by x-ray scatteringFeb 25 2014Time-resolved ultrafast x-ray scattering is an emerging approach to probe the temporally evolving electronic charge distribution in real-space and in real-time. In this contribution, time-resolved ultrafast x-ray scattering from an electronic wave packet ... More

Spin-Orbit Effects in Atomic High-Harmonic GenerationDec 15 2013Spin-orbit interactions lead to small energy gaps between the outer-most $p_{1/2}$ and $p_{3/2}$ shells of noble gas atoms. Strong-field pulses tunnel-ionize an electron out of either shell resulting in spin-orbit-driven hole motion. These hole dynamics ... More