Zobrazeno 1 - 10
of 294
pro vyhledávání: '"Dembo, Amir"'
Autor:
Dembo, Amir, Subag, Eliran
We study the law of a random field $f_N(\boldsymbol{\sigma})$ evaluated at a random sample from the Gibbs measure associated to a Gaussian field $H_N(\boldsymbol{\sigma})$. In the high-temperature regime, we show that bounds on the probability that $
Externí odkaz:
http://arxiv.org/abs/2409.19453
Fixing $\beta \ge 0$ and an integer $q \ge 2$, consider the ferromagnetic $q$-Potts measures $\mu_n^{\beta,B}$ on finite graphs ${\sf G}_n$ on $n$ vertices, with external field strength $B \ge 0$ and the corresponding random cluster measures $\varphi
Externí odkaz:
http://arxiv.org/abs/2312.16008
Autor:
Dembo, Amir, Yang, Kevin
We study a stochastic geometric flow that describes a growing submanifold $\mathbb{M}(t)\subseteq\mathbb{R}^{\mathrm{d}+1}$. It is an SPDE that comes from a continuum version of origin-excited random walk or once-reinforced random walk. It is given b
Externí odkaz:
http://arxiv.org/abs/2311.16095
Autor:
Dembo, Amir, Yang, Kevin
We study a stochastic Laplacian growth model, where a set $\mathbf{U}\subseteq\mathbb{R}^{\mathrm{d}}$ grows according to a reflecting Brownian motion in $\mathbf{U}$ stopped at level sets of its boundary local time. We derive a scaling limit for the
Externí odkaz:
http://arxiv.org/abs/2310.17572
Autor:
Adhikari, Arka, Dembo, Amir
Consider the matrix $A_{\mathcal{G}}$ chosen uniformly at random from the finite set of all $N$-dimensional matrices of zero main-diagonal and binary entries, having each row and column of $A_{\mathcal{G}}$ sum to $d$. That is, the adjacency matrix f
Externí odkaz:
http://arxiv.org/abs/2310.14132
Autor:
Cook, Nicholas A., Dembo, Amir
We consider general Exponential Random Graph Models (ERGMs) where the sufficient statistics are functions of homomorphism counts for a fixed collection of simple graphs $F_k$. Whereas previous work has shown a degeneracy phenomenon in dense ERGMs, we
Externí odkaz:
http://arxiv.org/abs/2208.06397
Autor:
Dembo, Amir, Okada, Izumi
We establish both the $\limsup$ and the $\liminf$ law of the iterated logarithm (LIL), for the capacity of the range of a simple random walk in any dimension $d\ge 3$. While for $d \ge 4$, the order of growth in $n$ of such LIL at dimension $d$ match
Externí odkaz:
http://arxiv.org/abs/2208.02184
We study the line ensembles of non-crossing Brownian bridges above a hard wall, each tilted by the area of the region below it with geometrically growing pre-factors. This model, which mimics the level lines of the $(2+1)$D SOS model above a hard wal
Externí odkaz:
http://arxiv.org/abs/2201.01635
We develop a quantitative large deviations theory for random hypergraphs, which rests on tensor decomposition and counting lemmas under a novel family of cut-type norms. As our main application, we obtain sharp asymptotics for joint upper and lower t
Externí odkaz:
http://arxiv.org/abs/2102.09100