Exchange symmetries in Motzkin path and bargraph models of copolymer adsorption.
Excited against the tide: a random walk with competing drifts
We study excited random walks in i.i.d. random cookie environments in high dimensions, where the th cookie at a site determines the transition probabilities (to the left and right) for the th departure from that site. We show that in high dimensions, when the expected right drift of the first cookie is sufficiently large, the velocity is strictly positive, regardless of the strengths and signs of subsequent cookies. Under additional conditions on the cookie environment, we show that the limiting...
Existence of ground state configurations.
Existence of infinitely many distinct solutions to the quasirelativistic Hartree-Fock equations.
Existence of minimizers for Kohn-Sham models in quantum chemistry
Existence of solutions to a phase-field model with phase-dependent heat absorption.
Expansion for the Lyapunov exponent of the one-dimensional Anderson model at low disorder.
Explicit spectral gap estimates for the linearized Boltzmann and Landau operators with hard potentials.
This paper deals with explicit spectral gap estimates for the linearized Boltzmann operator with hard potentials (and hard spheres). We prove that it can be reduced to the Maxwellian case, for which explicit estimates are already known. Such a method is constructive, does not rely on Weyl's Theorem and thus does not require Grad's splitting. The more physical idea of the proof is to use geometrical properties of the whole collision operator. In a second part, we use the fact that the Landau operator...
Exponential decay of averaged Green functions for random Schrödinger operators. A direct approach
Extendability of equilibria of nematic polymers.
Extended thermodynamics of ideal gases with 14 fields