P. König

most citedMonotonicity properties for Bernoulli percolation on layered graphs -- a Markov chain approach

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2 papers

math.PR2022★ 1 cited

Monotonicity properties for Bernoulli percolation on layered graphs -- a Markov chain approach

Philipp König, Thomas Richthammer

A layered graph $G^{\times}$ is the Cartesian product of a graph $G = (V, E)$ with the linear graph $Z$ , e.g. $Z^{\times}$ is the 2D square lattice $Z^{2}$ . For Bernoulli percolation with…

math.PR2022

Monotonicity of Markov chain transition probabilities via quasi-stationarity -- an application to Bernoulli percolation on $C_{k} \times Z$

Philipp König, Thomas Richthammer

Let $X_{n}, n \geq 0$ be a Markov chain with finite state space $M$ . If $x, y \in M$ such that $x$ is transient we have $P^{y} (X_{n} = x) \to 0$ for $n \to \infty$ , and under mild aperiodi…

Monotonicity properties for Bernoulli percolation on layered graphs -- a Markov chain approach

Monotonicity of Markov chain transition probabilities via quasi-stationarity -- an application to Bernoulli percolation on Ck​×Z

Monotonicity of Markov chain transition probabilities via quasi-stationarity -- an application to Bernoulli percolation on $C_{k} \times Z$