Amir Dembo

activity

20232026

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4 papers · 1 filter

math.PR2023

Potts and random cluster measures on locally regular-tree-like graphs

Anirban Basak, Amir Dembo, Allan Sly

Fixing $β \geq 0$ and an integer $q \geq 2$ , consider the ferromagnetic $q$ -Potts measures $μ_{n}^{β, B}$ on finite graphs $G_{n}$ on $n$ vertices, with external field strength $B \g…

math.PR2023

KPZ-type equation from growth driven by a non-Markovian diffusion

Amir Dembo, Kevin Yang

We study a stochastic PDE model for an evolving set $M (t) \subseteq R^{d + 1}$ that resembles a continuum version of origin-excited or reinforced random walk…

math.PR2023

A flow-type scaling limit for random growth with memory

Amir Dembo, Kevin Yang

We study a stochastic Laplacian growth model, where a set $U \subseteq R^{d}$ grows according to a reflecting Brownian motion in $U$ stopped at le…

math.PR2023

Spectral measure for uniform $d$ -regular digraphs

Arka Adhikari, Amir Dembo

Consider the matrix $A_{G}$ chosen uniformly at random from the finite set of all $N$ -dimensional matrices of zero main-diagonal and binary entries, having each row and c…

Potts and random cluster measures on locally regular-tree-like graphs

KPZ-type equation from growth driven by a non-Markovian diffusion

A flow-type scaling limit for random growth with memory

Spectral measure for uniform d-regular digraphs

Spectral measure for uniform $d$ -regular digraphs