output
19952026
most citedDynamically encircling exceptional points in a waveguide: asymmetric mode switching from the breakdown of adiabaticity

1.1k citations

Showing 2014 · math.PRShow all

9 papers · 2 filters

math.PR2014★ 8 cited

Coarsening dynamics on with frozen vertices

Michael Damron, Sinziana M. Eckner, Hana Kogan +2

We study Markov processes in which -valued random variables , update by taking the value of a majority of their nearest neighbors or else tossing…

math.PR2014★ 20 cited

From normal diffusion to superdiffusion of energy in the evanescent flip noise limit

Cédric Bernardin, Patricia Gonçalves, Milton Jara +2

We consider a harmonic chain perturbed by an energy conserving noise depending on a parameter . When is of order one, the energy diffuses according to the standard heat equa…

math.PR2014★ 1 cited

Percolation and local isoperimetric inequalities

Augusto Teixeira

In this paper we establish some relations between percolation on a given graph G and its geometry. Our main result shows that, if G has polynomial growth and satisfies what we call…

math.PR2014★ 16 cited

Metastability of reversible random walks in potential fields

C. Landim, R. Misturini, K. Tsunoda

Let be an open and bounded subset of $\bb R^d$, and let $F:Ξ\to\bb R$ be a twice continuously differentiable function. Denote by th discretization of , $Ξ_N = Ξ\cap (N…

math.PR2014★ 5 cited

The Einstein relation for the KPZ equation

Patricia Gonçalves, Milton Jara

We compute the non-universal constants in the KPZ equation in one dimension, in terms of the thermodynamical quantities associated to the underlying microscopic dynamics. In partic…

math.PR2014★ 64 cited

Exclusion process with slow boundary

Rangel Baldasso, Otávio Menezes, Adriana Neumann +1

We study the hydrodynamic and the hydrostatic behavior of the Simple Symmetric Exclusion Process with \emph{slow boundary}. The term \emph{slow boundary} means that particles can b…