Add to ORKGThis paper provides a countable representation for a class of infinite-dimensional diffusions which extends the infinitely-many-neutral-alleles model and is related to the two-parameter Poisson-Dirichlet process. By means of Gibbs sampling procedures, we define a reversible Moran-type population process. The associated process of ranked relative frequencies of types is shown to converge in distribution to the two-parameter family of diffusions, which is stationary and er-godic with respect to the two-parameter Poisson-Dirichlet distribution. The construction provides interpretation for the limiting process in terms of individual dynamics.
The purpose of this paper is to provide a complete description of the eigenvalues of the generator o...
We consider a one-dimensional diffusion process conditioned by hitting times. We call this process a...
We introduce and study interval partition diffusions with Poisson--Dirichlet$(\alpha,\theta)$ statio...
This paper provides a countable representation for a class of infinite-dimensional diffusions which ...
The two-parameter Poisson–Dirichlet diffusion, introduced in 2009 by Petrov, extends the infinitely-...
We give a pathwise construction of a two-parameter family of purely-atomic-measure-valued diffusions...
Models of populations in which a type or location, represented by a point in a metric space E, is as...
The Fleming-Viot measure-valued diffusion arises as the infinite population limit of various discret...
This dissertation in mathematics is devoted to systems consisting of a countably infinite collection...
ii This thesis is centered around three infinite dimensional diffusion processes: (i). the infinitel...
AbstractIn this paper we formulate the stepping stone model in population genetics as a measure-valu...
We introduce diffusions on a space of interval partitions of the unit interval that are stationary w...
We give a pathwise construction of a two-parameter family of purely-atomic-measure-valued diffusions...
The purpose of this paper is to provide a complete description of the eigenvalues of the generator o...
This paper studies countable systems of linearly and hierarchically interacting diffusions taking va...
The purpose of this paper is to provide a complete description of the eigenvalues of the generator o...
We consider a one-dimensional diffusion process conditioned by hitting times. We call this process a...
We introduce and study interval partition diffusions with Poisson--Dirichlet$(\alpha,\theta)$ statio...
This paper provides a countable representation for a class of infinite-dimensional diffusions which ...
The two-parameter Poisson–Dirichlet diffusion, introduced in 2009 by Petrov, extends the infinitely-...
We give a pathwise construction of a two-parameter family of purely-atomic-measure-valued diffusions...
Models of populations in which a type or location, represented by a point in a metric space E, is as...
The Fleming-Viot measure-valued diffusion arises as the infinite population limit of various discret...
This dissertation in mathematics is devoted to systems consisting of a countably infinite collection...
ii This thesis is centered around three infinite dimensional diffusion processes: (i). the infinitel...
AbstractIn this paper we formulate the stepping stone model in population genetics as a measure-valu...
We introduce diffusions on a space of interval partitions of the unit interval that are stationary w...
We give a pathwise construction of a two-parameter family of purely-atomic-measure-valued diffusions...
The purpose of this paper is to provide a complete description of the eigenvalues of the generator o...
This paper studies countable systems of linearly and hierarchically interacting diffusions taking va...
The purpose of this paper is to provide a complete description of the eigenvalues of the generator o...
We consider a one-dimensional diffusion process conditioned by hitting times. We call this process a...
We introduce and study interval partition diffusions with Poisson--Dirichlet$(\alpha,\theta)$ statio...