23 citations · 88 across the 19 of their papers we have counts for
22 papers
Extension of results on generalized Pólya's urns for polynomially self-repelling walks
Elena Kosygina, Laure Marêché, Thomas Mountford +1
This is a technical note which extends the results of Kosygina, Mountford and Peterson (Ann. Probab., 51(5):1684-1728, 2023, Section 4) about generalized Pólya's urns from a specif…
Convergence of rescaled "true" self-avoiding walks to the Tóth-Werner "true" self-repelling motion
Elena Kosygina, Jonathon Peterson
We prove that the rescaled ``true'' self-avoiding walk converges weakly as goes to infinity to the ``true'' self-repelling…
Homogenization of nonconvex viscous Hamilton-Jacobi equations in stationary ergodic media in one dimension
Elena Kosygina, Atilla Yilmaz
We establish homogenization for nondegenerate viscous Hamilton-Jacobi equations in one space dimension when the diffusion coefficient and the Hamiltonian ar…
Loss of quasiconvexity in the periodic homogenization of viscous Hamilton-Jacobi equations
Elena Kosygina, Atilla Yilmaz
We show that, in the periodic homogenization of uniformly elliptic Hamilton-Jacobi equations in any dimension, the effective Hamiltonian does not necessarily inherit the quasiconve…
Stochastic homogenization of nonconvex viscous Hamilton-Jacobi equations in one space dimension
Andrea Davini, Elena Kosygina, Atilla Yilmaz
We prove homogenization for viscous Hamilton-Jacobi equations with a Hamiltonian of the form for a wide class of stationary ergodic random media in one space dimensio…
Convergence and non-convergence of scaled self-interacting random walks to Brownian motion perturbed at extrema
Elena Kosygina, Thomas Mountford, Jonathon Peterson
We use generalized Ray-Knight theorems introduced by Bálint Tóth in 1996 together with techniques developed for excited random walks as main tools for establishing positive and neg…