Competing particle systems and the Ghirlanda-Guerra identities.
Complete asymptotics for correlations of Laplace integrals in the semi-classical limit
Computer simulation of the atomic behaviour in condensed phases.
Computer simulation of the atomic behaviour in condensed phases.
Molecular dynamics simulation method for the study of condensed phases of matter is described in this paper. Computer programs for the simulation of atomic motion have been developed. Time-saving techniques, like the cellular method have been incorporated in order to optimize the available computer resources. We have applied this method to the simulation of Argon near its melting point. Differences in the structure, thermodynamic properties and time correlation functions of solid and liquid phases...
Computer-assisted proofs for fixed point problems in Sobolev spaces.
Confinement of the two dimensional discrete Gaussian free field between two hard walls.
Construction of the Bethe state for the elliptic quantum group.
Continuous and discrete (classical) Heisenberg spin chain revised.
Controlling Griffiths' singularities
Convergence of critical oriented percolation to super-brownian motion above dimensions
Convergence of lattice trees to super-Brownian motion above the critical dimension.
Convergence of minimax structures and continuation of critical points for singularly perturbed systems
In the recent literature, the phenomenon of phase separation for binary mixtures of Bose–Einstein condensates can be understood, from a mathematical point of view, as governed by the asymptotic limit of the stationary Gross–Pitaevskii system , as the interspecies scattering length goes to . For this system we consider the associated energy functionals , with -mass constraints, which limit (as ) is strongly irregular. For such functionals, we construct multiple critical points via a common...
Convergence results and sharp estimates for the voter model interfaces.
Coordinate Bethe ansatz for spin XXX model.
Copolymer at selective interfaces and pinning potentials : weak coupling limits
We consider a simple random walk of length N, denoted by (Si)i∈{1, …, N}, and we define (wi)i≥1 a sequence of centered i.i.d. random variables. For K∈ℕ we define ((γi−K, …, γiK))i≥1 an i.i.d sequence of random vectors. We set β∈ℝ, λ≥0 and h≥0, and transform the measure on the set of random walk trajectories with the hamiltonian λ∑i=1N(wi+h)sign(Si)+β∑j=−KK∑i=1Nγij1{Si=j}. This transformed path measure describes an hydrophobic(philic) copolymer interacting with a layer of width 2K around an interface...
Corrector results for a parabolic problem with a memory effect
The aim of this paper is to provide the correctors associated to the homogenization of a parabolic problem describing the heat transfer. The results here complete the earlier study in [Jose, Rev. Roumaine Math. Pures Appl.54 (2009) 189–222] on the asymptotic behaviour of a problem in a domain with two components separated by an ε-periodic interface. The physical model established in [Carslaw and Jaeger, The Clarendon Press, Oxford (1947)] prescribes on the interface the condition that the flux...
Correlation function and simplified TBA equations for XXZ chain.
Correlation lengths for random polymer models and for some renewal sequences.
Critical path analysis for continuum percolation
Critical percolation on certain nonunimodular graphs.