597 citations · 2.2k across the 55 of their papers we have counts for
56 papers
Homogenization theory of random walks among deterministic conductances
Marek Biskup
We study the asymptotic distribution of random walks on () in deterministic reversible environments defined by an assignment of a positive conductance to each…
An invariance principle for one-dimensional random walks in degenerate dynamical random environments
Marek Biskup, Minghao Pan
We study random walks on the integers driven by a sample of time-dependent nearest-neighbor conductances that are bounded but are permitted to vanish over time intervals of positiv…
Arithmetic oscillations of the chemical distance in long-range percolation on
Marek Biskup, Andrew Krieger
We consider a long-range percolation graph on where, in addition to the nearest-neighbor edges of , distinct are connected by an edge…
Near-maxima of the two-dimensional Discrete Gaussian Free Field
Marek Biskup, Stephan Gufler, Oren Louidor
We consider the Discrete Gaussian Free Field (DGFF) in domains arising, via scaling by , from nice domains . We study the statis…
Quenched Invariance Principle for a class of random conductance models with long-range jumps
Marek Biskup, Xin Chen, Takashi Kumagai +1
We study random walks on (with ) among stationary ergodic random conductances that permit jumps of arbitrary length. Our…
Exceptional points of discrete-time random walks in planar domains
Yoshihiro Abe, Marek Biskup, Sangchul Lee
Given a sequence of lattice approximations of a bounded continuum domain with the vertices outside fused together into one bound…