17 citations · 64 across the 27 of their papers we have counts for
8 papers · 1 filter
Finitary isomorphisms of renewal point processes and continuous-time regenerative processes
Yinon Spinka
We show that a large class of stationary continuous-time regenerative processes are finitarily isomorphic to one another. The key is showing that any stationary renewal point proce…
Geometric random graphs on circles
Omer Angel, Yinon Spinka
Given a dense countable set in a metric space, the infinite random geometric graph is the random graph with the given vertex set and where any two points at distance less than 1 ar…
Markov chains with exponential return times are finitary
Omer Angel, Yinon Spinka
Consider an ergodic Markov chain on a countable state space for which the return times have exponential tails. We show that the stationary version of any such chain is a finitary f…
Finitary codings for gradient models and a new graphical representation for the six-vertex model
Gourab Ray, Yinon Spinka
It is known that the Ising model on at a given temperature is a finitary factor of an i.i.d. process if and only if the temperature is at least the critical tempera…
A short proof of the discontinuity of phase transition in the planar random-cluster model with
Gourab Ray, Yinon Spinka
The goal of this paper is to provide a short proof of the discontinuity of phase transition for the random-cluster model on the square lattice with parameter . This result was…
Mixing properties of colorings of the lattice
Noga Alon, Raimundo Briceño, Nishant Chandgotia +2
We study and classify proper -colorings of the lattice, identifying three regimes where different combinatorial behavior holds: (1) When , there exist fr…
Pairwise optimal coupling of multiple random variables
Omer Angel, Yinon Spinka
We generalize the optimal coupling theorem to multiple random variables: Given a collection of random variables, it is possible to couple all of them so that any two differ with pr…
Finitely dependent processes are finitary
Yinon Spinka
We show that any finitely dependent invariant process on a transitive amenable graph is a finitary factor of an i.i.d. process. With an additional assumption on the geometry of the…