As part of a general theory for the isomorphism problem for actions of amenable groups, Ornstein and Weiss (J. Anal. Math. 48 (1987) 1–141) proved that any two Poisson point processes are isomorphic as measure-preserving actions. We give an elementary construction of an isomorphism between Poisson point processes that is finitary
We dene four classes of point processes which we call A, B, *A, *B. Although we study point processe...
International audienceWe call a point process $Z$ on $\mathbb R$ \emph{exp-1-stable} if for every $\...
summary:We give a universal discrimination procedure for determining if a sample point drawn from an...
A consequence of Ornstein theory is that the infinite entropy flows associated with Poisson processe...
AbstractUsing the marker and filler methods of Keane and Smorodinsky, we prove that entropy is a com...
This thesis consists of four research papers and one expository note that study factors of point pro...
This is the published version, also available here: http://dx.doi.org/10.1214/11-AOP651.Given a homo...
forest A factor graph of a point process is a graph whose vertices are the points of the process, an...
Given a homogeneous Poisson process on Rd with intensity λ, we prove that it is possible to partitio...
AbstractImproving and extending a characterization of Poisson processes by Rényi, we present several...
9 pagesWe solve the question of the existence of a Poisson-Pinsker factor for conservative ergodic i...
We study the existence of finitary codings (also called finitary homomorphisms or finitary factor ma...
International audienceIn this paper we study splittings of a Poisson point process which are equivar...
AbstractA representation for the probability generating functional (p.g.fl.) of a regular infinitely...
We study probability-measure preserving (p.m.p.) actions of finitely generated groups via the graphi...
We dene four classes of point processes which we call A, B, *A, *B. Although we study point processe...
International audienceWe call a point process $Z$ on $\mathbb R$ \emph{exp-1-stable} if for every $\...
summary:We give a universal discrimination procedure for determining if a sample point drawn from an...
A consequence of Ornstein theory is that the infinite entropy flows associated with Poisson processe...
AbstractUsing the marker and filler methods of Keane and Smorodinsky, we prove that entropy is a com...
This thesis consists of four research papers and one expository note that study factors of point pro...
This is the published version, also available here: http://dx.doi.org/10.1214/11-AOP651.Given a homo...
forest A factor graph of a point process is a graph whose vertices are the points of the process, an...
Given a homogeneous Poisson process on Rd with intensity λ, we prove that it is possible to partitio...
AbstractImproving and extending a characterization of Poisson processes by Rényi, we present several...
9 pagesWe solve the question of the existence of a Poisson-Pinsker factor for conservative ergodic i...
We study the existence of finitary codings (also called finitary homomorphisms or finitary factor ma...
International audienceIn this paper we study splittings of a Poisson point process which are equivar...
AbstractA representation for the probability generating functional (p.g.fl.) of a regular infinitely...
We study probability-measure preserving (p.m.p.) actions of finitely generated groups via the graphi...
We dene four classes of point processes which we call A, B, *A, *B. Although we study point processe...
International audienceWe call a point process $Z$ on $\mathbb R$ \emph{exp-1-stable} if for every $\...
summary:We give a universal discrimination procedure for determining if a sample point drawn from an...
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