221 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Charles UniversityCZ11 papers
- Sewanee: The University of the SouthUS9 papers
- University of California, Los AngelesUS9 papers
- South Bohemia research center of aquaculture and biodiversity of hydrocenosesCZ8 papers
- Indian Institute of Technology BHUIN7 papers
- Banaras Hindu UniversityIN6 papers
- Czech Academy of Sciences, Institute of Information Theory and AutomationCZ6 papers
- Czech Academy of SciencesCZ5 papers
- Czech Technical University in PragueCZ5 papers
- Natural Resources Institute FinlandFI5 papers
- Czech Academy of Sciences, Biology CentreCZ4 papers
- Czech Academy of Sciences, Astronomical InstituteCZ3 papers
8 papers · 1 filter
Limit theorems for weighted Bernoulli random fields under Hannan's condition
Jana Klicnarová, Dalibor Volný, Yizao Wang
Consider a Bernoulli random field satisfying the Hannan's condition. Recently, invariance principles for partial sums of random fields over rectangular index sets are established.…
Eigenvalue order statistics for random Schrödinger operators with doubly-exponential tails
Marek Biskup, Wolfgang Koenig
We consider random Schrödinger operators of the form , where is the lattice Laplacian on and is an i.i.d. random field, and study the extreme order stati…
A central limit theorem for the effective conductance: Linear boundary data and small ellipticity contrasts
Marek Biskup, Michele Salvi, Tilman Wolff
Given a resistor network on with nearest-neighbor conductances, the effective conductance in a finite set with a given boundary condition is the the minimum of the Di…
Trapping in the random conductance model
Marek Biskup, Oren Louidor, Alex Rozinov +1
We consider random walks on among nearest-neighbor random conductances which are i.i.d., positive, bounded uniformly from above but whose support extends all the way to zero…
Recent progress on the Random Conductance Model
Marek Biskup
Recent progress on the understanding of the Random Conductance Model is reviewed and commented. A particular emphasis is on the results on the scaling limit of the random walk amon…
Subdiffusive heat-kernel decay in four-dimensional i.i.d. random conductance models
Marek Biskup, Omar Boukhadra
We study the diagonal heat-kernel decay for the four-dimensional nearest-neighbor random walk (on ) among i.i.d. random conductances that are positive, bounded from above but…
Metastable behavior for bootstrap percolation on regular trees
Marek Biskup, Roberto H. Schonmann
We examine bootstrap percolation on a regular (b+1)-ary tree with initial law given by Bernoulli(p). The sites are updated according to the usual rule: a vacant site becomes occupi…
Graph diameter in long-range percolation
Marek Biskup
We study the asymptotic growth of the diameter of a graph obtained by adding sparse "long" edges to a square box in . We focus on the cases when an edge between and i…