Estimates of random walk exit probabilities and application to loop-erased random walk.
Estimating interactions in binary data sequences
Estimating interactions in binary lattice data with nearest-neighbor property
Estimators, escort probabilities, and -exponential families in statistical physics.
Euler hydrodynamics for attractive particle systems in random environment
We prove quenched hydrodynamic limit under hyperbolic time scaling for bounded attractive particle systems on in random ergodic environment. Our result is a strong law of large numbers, that we illustrate with various examples.
Exact solutions for equations of Bose-Fermi mixtures in one-dimensional optical lattice.
Exactness of skew products with expanding fibre maps
We give an elementary proof for the uniqueness of absolutely continuous invariant measures for expanding random dynamical systems and study their mixing properties.
Examples of condition for diffusions in a random environment.
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 and global stability of periodic solution for delayed discrete high-order Hopfield-type neural networks.
Existence and nonexistence of solutions for a model of gravitational interaction of particles, II
We study the existence and nonexistence in the large of radial solutions to a parabolic-elliptic system with natural (no-flux) boundary conditions describing the gravitational interaction of particles. The blow-up of solutions defined in the n-dimensional ball with large initial data is connected with the nonexistence of radial stationary solutions with a large mass.
Existence and nonexistence of solutions for a model of gravitational interaction of particles, III
Existence and nonexistence of solutions for a model of gravitational interaction of particles, I
We study the existence of stationary and evolution solutions to a parabolic-elliptic system with natural (no-flux) boundary conditions describing the gravitational interaction of particles.
Existence and uniform boundedness of strong solutions of the time-dependent Ginzburg-Landau equations of superconductivity.
Existence and uniqueness of classical solutions to certain nonlinear integro-differential Fokker-Planck type equations.
Existence of ground state configurations.
Existence of infinitely many distinct solutions to the quasirelativistic Hartree-Fock equations.
Existence of Local Smooth Solution for a Generalized Zakharov System.
Existence of minimizers for Kohn-Sham models in quantum chemistry