AbstractItô’s contributions lie at the root of stochastic calculus and of the theory of excursions. These ideas are also very useful in the study of conformally invariant two-dimensional structures, via conformal loop ensembles, excursions of Schramm–Loewner evolutions and Poisson point processes of Brownian loops
Stochastic geometry is the branch of mathematics that studies geometric structures associated with r...
This Demonstration shows sample trajectories of a Poisson process—a fundamental example of a stochas...
38 pages, 3 figuresStochastic Loewner evolutions (SLE) are random growth processes of sets, called h...
Itô's contributions lie at the root of stochastic calculus and of the theory of excursions. These id...
AbstractItô’s contributions lie at the root of stochastic calculus and of the theory of excursions. ...
6 pages, minor changes leading to a clearer formulation, references addedSLE_k stochastic processes ...
An extension problem (often called a boundary problem) of Markov processes has been studied, particu...
Random objects such as clusters in the plane can often be described in terms of the conformal mappin...
AbstractItô’s theory of excursion point processes is reviewed and the following topics are discussed...
Lecture NotesThe lectures will be devoted to a somewhat detailed presentation of Stochastic Schramm-...
AbstractSome point processes are obtained by generalising the well-known construction for a two-dime...
This paper presents some general formulas for random partitions of a finite set derived by Kingman’s...
46 pages, 21 figuresInternational audienceThese lecture notes on 2D growth processes are divided in ...
This is yet another indispensable volume for all probabilists and collectors of the Saint-Flour seri...
Conformal invariance has been a spectacularly successful tool in advancing our understanding of the ...
Stochastic geometry is the branch of mathematics that studies geometric structures associated with r...
This Demonstration shows sample trajectories of a Poisson process—a fundamental example of a stochas...
38 pages, 3 figuresStochastic Loewner evolutions (SLE) are random growth processes of sets, called h...
Itô's contributions lie at the root of stochastic calculus and of the theory of excursions. These id...
AbstractItô’s contributions lie at the root of stochastic calculus and of the theory of excursions. ...
6 pages, minor changes leading to a clearer formulation, references addedSLE_k stochastic processes ...
An extension problem (often called a boundary problem) of Markov processes has been studied, particu...
Random objects such as clusters in the plane can often be described in terms of the conformal mappin...
AbstractItô’s theory of excursion point processes is reviewed and the following topics are discussed...
Lecture NotesThe lectures will be devoted to a somewhat detailed presentation of Stochastic Schramm-...
AbstractSome point processes are obtained by generalising the well-known construction for a two-dime...
This paper presents some general formulas for random partitions of a finite set derived by Kingman’s...
46 pages, 21 figuresInternational audienceThese lecture notes on 2D growth processes are divided in ...
This is yet another indispensable volume for all probabilists and collectors of the Saint-Flour seri...
Conformal invariance has been a spectacularly successful tool in advancing our understanding of the ...
Stochastic geometry is the branch of mathematics that studies geometric structures associated with r...
This Demonstration shows sample trajectories of a Poisson process—a fundamental example of a stochas...
38 pages, 3 figuresStochastic Loewner evolutions (SLE) are random growth processes of sets, called h...