Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Nitzschner, Maximilian"'
This article investigates the behavior of the continuous-time simple random walk on $\mathbb{Z}^d$, $d \geq 3$. We derive an asymptotic lower bound on the principal exponential rate of decay for the probability that the average value over a large box
Externí odkaz:
http://arxiv.org/abs/2312.17074
Autor:
Nitzschner, Maximilian
We study the directed polymer model on infinite clusters of supercritical Bernoulli percolation containing the origin in dimensions $d \geq 3$, and prove that for almost every realization of the cluster and every strictly positive value of the invers
Externí odkaz:
http://arxiv.org/abs/2205.06206
Publikováno v:
J. Stat. Phys., 190, 59, 2023
We consider level-set percolation for the Gaussian membrane model on $\mathbb{Z}^d$, with $d \geq 5$, and establish that as $h \in \mathbb{R}$ varies, a non-trivial percolation phase transition for the level-set above level $h$ occurs at some finite
Externí odkaz:
http://arxiv.org/abs/2112.09116
For a class of particle systems in continuous space with local interactions, we show that the asymptotic diffusion matrix is an infinitely differentiable function of the density of particles. Our method allows us to identify relatively explicit descr
Externí odkaz:
http://arxiv.org/abs/2112.06123
We study level-set percolation for the harmonic crystal on $\mathbb{Z}^d$, $d \geq 3$, with uniformly elliptic random conductances. We prove that this model undergoes a non-trivial phase transition at a critical level that is almost surely constant u
Externí odkaz:
http://arxiv.org/abs/2012.05230
We investigate percolation of the vacant set of random interlacements on $\mathbb{Z}^d$, $d\geq 3$, in the strongly percolative regime. We consider the event that the interlacement set at level $u$ disconnects the discrete blow-up of a compact set $A
Externí odkaz:
http://arxiv.org/abs/1901.08578
We investigate level-set percolation of the discrete Gaussian free field on $\mathbb{Z}^d$, $d\geq 3$, in the strongly percolative regime. We consider the event that the level-set of the Gaussian free field below a level $\alpha$ disconnects the disc
Externí odkaz:
http://arxiv.org/abs/1808.09947
Autor:
Nitzschner, Maximilian
Publikováno v:
Electron. J. Probab., 23 (105), 1-21, 2018
We derive asymptotic upper and lower bounds on the large deviation probability that the level set of the Gaussian free field on $Z^d$, d bigger or equal to three, below a given level disconnects the discrete blow-up of a compact set A from the bounda
Externí odkaz:
http://arxiv.org/abs/1802.02518
Publikováno v:
J. Eur. Math. Soc., 22, 2629-2672, 2020
In this article we obtain uniform estimates on the absorption of Brownian motion by porous interfaces surrounding a compact set. An important ingredient is the construction of certain resonance sets, which are hard to avoid for Brownian motion starti
Externí odkaz:
http://arxiv.org/abs/1706.07229
Publikováno v:
The Annals of Probability, 2020 May 01. 48(3), 1317-1351.
Externí odkaz:
https://www.jstor.org/stable/26922950
