527 citations
- University of GothenburgSE23 papers
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5 papers · 2 filters
Random Walk in Dynamic Markovian Random Environment
Antar Bandyopadhyay, Ofer Zeitouni
We consider a model, introduced by Boldrighini, Minlos and Pellegrinotti, of random walks in dynamical random environments on the integer lattice Z^d with d>=1. In this model, the…
Refinements of stochastic domination
Erik I. Broman, Olle Haggstrom, Jeffrey E. Steif
In a recent paper by two of the authors, the concepts of upwards and downwards -movability were introduced, mainly as a technical tool for studying dynamical percolation of inte…
One-dependent trigonometric determinantal processes are two-block-factors
Erik I. Broman
Given a trigonometric polynomial f:[0,1]\to[0,1] of degree m, one can define a corresponding stationary process {X_i}_{i\in Z} via determinants of the Toeplitz matrix for f. We sho…
On Sampling of stationary increment processes
J. M. P. Albin
Under a complex technical condition, similar to such used in extreme value theory, we find the rate q(ε)^{-1} at which a stochastic process with stationary increments ξshould be sa…
The overhand shuffle mixes in steps
Johan Jonasson
The overhand shuffle is one of the ``real'' card shuffling methods in the sense that some people actually use it to mix a deck of cards. A mathematical model was constructed and an…