Zobrazeno 1 - 10
of 104
pro vyhledávání: '"Drewitz, Alexander"'
We consider a random walk in an i.i.d. random environment on Zd and study properties of its large deviation rate function at the origin. It was proved by Comets, Gantert and Zeitouni in dimension d = 1 in 1999 and later by Varadhan in dimensions d >=
Externí odkaz:
http://arxiv.org/abs/2411.13875
We investigate the bond percolation model on transient weighted graphs ${G}$ induced by the excursion sets of the Gaussian free field on the corresponding metric graph. Under the sole assumption that its sign clusters do not percolate, we derive an e
Externí odkaz:
http://arxiv.org/abs/2405.17417
We use the theory of abstract Wiener spaces to construct a probabilistic model for Berezin-Toeplitz quantization on a complete Hermitian complex manifold endowed with a positive line bundle. We associate to a function with compact support (a classica
Externí odkaz:
http://arxiv.org/abs/2404.15983
We consider a class of percolation models where the local occupation variables have long-range correlations decaying as a power law $\sim r^{-a}$ at large distances $r$, for some $0< a< d$ where $d$ is the underlying spatial dimension. For several of
Externí odkaz:
http://arxiv.org/abs/2403.18787
We investigate the bond percolation model on transient weighted graphs ${G}$ induced by the excursion sets of the Gaussian free field on the corresponding metric graph. We assume that balls in ${G}$ have polynomial volume growth with growth exponent
Externí odkaz:
http://arxiv.org/abs/2312.10030
We consider the fractal Sierpi\'{n}ski gasket or carpet graph in dimension $d\geq 2,$ denoted by $G$. At time $0$, we place a Poisson point process of particles onto the graph and let them perform independent simple random walks, which in this settin
Externí odkaz:
http://arxiv.org/abs/2311.03045
We give two constructions of Gaussian-like random holomorphic sections of a Hermitian holomorphic line bundle $(L,h_{L})$ on a Hermitian complex manifold $(X,\Theta)$. In particular, we are interested in the case where the space of $\mathcal{L}^2$-ho
Externí odkaz:
http://arxiv.org/abs/2302.08426
We consider one-dimensional branching Brownian motion in spatially random branching environment (BBMRE) and show that for almost every realisation of the environment, the distributions of the maximal particle of the BBMRE re-centred around its median
Externí odkaz:
http://arxiv.org/abs/2212.12390
Publikováno v:
Ann. Appl. Probab. 34(3): 2844-2884 (2024)
The study of Gaussian free field level sets on supercritical Galton-Watson trees has been initiated by Ab\"acherli and Sznitman in Ann. Inst. Henri Poincar\'{e} Probab. Stat., 54(1):173--201, 2018. By means of entirely different tools, we continue th
Externí odkaz:
http://arxiv.org/abs/2208.01033