3 papers
math.PR2026
Hyper-contractivity and entropy decay in discrete time
Justin Salez
Consider a measure-preserving transition kernel on an arbitrary probability space . In this level of generality, we prove that a one-step hyper-contr…
math.PR2026
How fast does the range of simple random walk grow?
Itai Benjamini, Justin Salez
Consider a discrete-time simple random walk on an infinite, connected, locally finite simple graph , and let \[ R_t := |\{X_0,\ldots,X_t\}| \] denote its range.…
math.PR2014
The Mezard-Parisi equation for matchings in pseudo-dimension d>1
Justin Salez
We establish existence and uniqueness of the solution to the cavity equation for the random assignment problem in pseudo-dimension , as conjectured by Aldous and Bandyopadhyay…