7 papers
The Gaussian Wave for Graphs of Finite Cone Type
Amir Dembo, Theo McKenzie
We show that for any infinite tree of finite cone type satisfying a mild expansion condition, the only typical process on its vertices with covariance induced by the Green's functi…
Dynamics for spherical spin glasses: Gibbs distributed initial conditions
Amir Dembo, Eliran Subag
We derive the coupled non-linear integro-differential equations for the thermodynamic limit of the empirical correlation and response functions in the Langevin dynamics at temperat…
Disordered Gibbs measures and Gaussian conditioning
Amir Dembo, Eliran Subag
We study the law of a random field evaluated at a random sample from the Gibbs measure associated to a Gaussian field . In the high-temperatu…
Potts and random cluster measures on locally regular-tree-like graphs
Anirban Basak, Amir Dembo, Allan Sly
Fixing and an integer , consider the ferromagnetic -Potts measures on finite graphs on vertices, with external field strength $B \g…
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 that resembles a continuum version of origin-excited or reinforced random walk…
A flow-type scaling limit for random growth with memory
Amir Dembo, Kevin Yang
We study a stochastic Laplacian growth model, where a set grows according to a reflecting Brownian motion in stopped at le…