Zobrazeno 1 - 10
of 302
pro vyhledávání: '"Chiarini, Alberto"'
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
From quenched invariance principle to semigroup convergence with applications to exclusion processes
Consider a random walk on $\mathbb{Z}^d$ in a translation-invariant and ergodic random environment and starting from the origin. In this short note, assuming that a quenched invariance principle for the opportunely-rescaled walks holds, we show how t
Externí odkaz:
http://arxiv.org/abs/2303.04127
We consider a partial exclusion process evolving on $\mathbb Z^d$ in a random trapping environment. In dimension $d\ge 2$, we derive the fractional kinetics equation \begin{equation*}\frac{\partial^\beta\rho_t}{\partial t^\beta} = \Delta \rho_t \end{
Externí odkaz:
http://arxiv.org/abs/2302.10156
We show convergence of the gradients of the Schr\"odinger potentials to the Brenier map in the small-time limit under general assumptions on the marginals, which allow for unbounded densities and supports. Furthermore, we provide novel quantitative s
Externí odkaz:
http://arxiv.org/abs/2207.14262
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
We investigate the kinetic Schr\"odinger problem, obtained considering Langevin dynamics instead of Brownian motion in Schr\"odinger's thought experiment. Under a quasilinearity assumption we establish exponential entropic turnpike estimates for the
Externí odkaz:
http://arxiv.org/abs/2108.09161
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
Publikováno v:
Probab. Theory Related Fields 179 (2021), no. 3-4, 1145-1181
We establish a quenched local central limit theorem for the dynamic random conductance model on $\mathbb{Z}^d$ only assuming ergodicity with respect to space-time shifts and a moment condition. As a key analytic ingredient we show H\"older continuity
Externí odkaz:
http://arxiv.org/abs/2001.10740
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