Transport in thermal equilibrium, gapless modes, and anomalies
Two point correlation functions for a periodic box-ball system.
Two-phase convection in icy satellites
Un modèle de champ moyen, nucléation et bifurcation
Une étude des algorithmes de recuit simulé sous-admissibles
Une méthode nodale appliquée à un problème de diffusion à coefficients généralisés
Une méthode nodale appliquée à un problème de diffusion à coefficients généralisés
In this paper, we consider second order neutrons diffusion problem with coefficients in L∞(Ω). Nodal method of the lowest order is applied to approximate the problem's solution. The approximation uses special basis functions [1] in which the coefficients appear. The rate of convergence obtained is O(h2) in L2(Ω), with a free rectangular triangulation.
Unique Bernoulli -measures
We improve and subsume the conditions of Johansson and Öberg and Berbee for uniqueness of a -measure, i.e., a stationary distribution for chains with complete connections. In addition, we prove that these unique -measures have Bernoulli natural extensions. We also conclude that we have convergence in the Wasserstein metric of the iterates of the adjoint transfer operator to the -measure.
Uniqueness and non-uniqueness in percolation theory.
Uniqueness for Gibbs measures of quantum lattices in small mass regime
Uniqueness of Gibbs measures relative to brownian motion
Uniqueness of the stationary distribution and stabilizability in Zhang's sandpile model.
Universal low temperature asymptotics of the correlation functions of the Heisenberg chain.
Universality for certain hermitian Wigner matrices under weak moment conditions
We study the universality of the local eigenvalue statistics of Gaussian divisible Hermitian Wigner matrices. These random matrices are obtained by adding an independent GUE matrix to an Hermitian random matrix with independent elements, a Wigner matrix. We prove that Tracy–Widom universality holds at the edge in this class of random matrices under the optimal moment condition that there is a uniform bound on the fourth moment of the matrix elements. Furthermore, we show that universality holds...
Universality for conformally invariant intersection exponents
We construct a class of conformally invariant measures on sets (or paths) and we study the critical exponents called intersection exponents associated to these measures. We show that these exponents exist and that they correspond to intersection exponents between planar Brownian motions. More precisely, using the definitions and results of our paper [27], we show that any set defined under such a conformal invariant measure behaves exactly as a pack (containing maybe a non-integer number) of Brownian...
Universality in Sherrington–Kirkpatrick's spin glass model
Universality of slow decorrelation in KPZ growth
There has been much success in describing the limiting spatial fluctuations of growth models in the Kardar–Parisi–Zhang (KPZ) universality class. A proper rescaling of time should introduce a non-trivial temporal dimension to these limiting fluctuations. In one-dimension, the KPZ class has the dynamical scaling exponent z = 3/2, that means one should find a universal space–time limiting process under the scaling of time as tT, space like t2/3X and fluctuations like t1/3 as t → ∞. In this paper we...
Variational characterisation of Gibbs measures with Delaunay triangle interaction.
Variational characterization of interior interfaces in phase transition models on convex plane domains.
Variational principle, conjugate convex functions and “the equivalence of ensembles”