Fermionic basis in conformal field theory and thermodynamic Bethe ansatz for excited states.
Finite element investigations for the construction of composite solutions of even-parity transport equation.
Finite-size scaling in percolation.
Finite-temperature form factors: a review.
Fluctuations of the front in a stochastic combustion model
Fluctuations of the quenched mean of a planar random walk in an i.i.d. Random environment with forbidden direction.
Fonction de Correlation pour des Mesures Complexes
We study a class of holomorphic complex measures, which are close in an appropriate sense to a complex Gaussian. We show that these measures can be reduced to a product measure of real Gaussians with the aid of a maximum principle in the complex domain. The formulation of this problem has its origin in the study of a certain class of random Schrödinger operators, for which we show that the expectation value of the Green’s function decays exponentially.
Formalisme thermodynamique
From holonomy of the Ising model form factors to -fold integrals and the theory of elliptic curves.
From Planck to Ramanujan : a quantum noise in equilibrium
We describe a new model of massless thermal bosons which predicts an hyperbolic fluctuation spectrum at low frequencies. It is found that the partition function per mode is the Euler generating function for unrestricted partitions ). Thermodynamical quantities carry a strong arithmetical structure : they are given by series with Fourier coefficients equal to summatory functions of the power of divisors, with for the free energy, for the number of particles and for the internal energy. Low...
From the Lifshitz tail to the quenched survival asymptotics in the trapping problem.
Functional inequalities and uniqueness of the Gibbs measure — from log-Sobolev to Poincaré
In a statistical mechanics model with unbounded spins, we prove uniqueness of the Gibbs measure under various assumptions on finite volume functional inequalities. We follow Royer's approach (Royer, 1999) and obtain uniqueness by showing convergence properties of a Glauber-Langevin dynamics. The result was known when the measures on the box [-n,n]d (with free boundary conditions) satisfied the same logarithmic Sobolev inequality. We generalize this in two directions: either the constants may be...
Functional integral representations for self-avoiding walk.