Luis G. Gorostiza

Some Extensions of Fractional Brownian Motion and Sub-Fractional Brownian Motion Related to Particle Systems

In this paper we study three self-similar, long-range dependence, Gaussian processes. The first one, with covariance

Generalized solutions of a class of nuclear-space-valued stochastic evolution equations

\int^{s\wedge t}_0 u^a [(t-u)^b+(s-u)^b]du,

Occupation time limits of inhomogeneous Poisson systems of independent particles

parameters

A Long Range Dependence Stable Process and an Infinite Variance Branching System

a>-1

Non-local Branching Superprocesses and Some Related Models

,

Persistence of critical multitype particle and measure branching processes

-1 < b\leq 1

Occupation time fluctuations of an infinite-variance branching system in large dimensions

,

Schrödinger processes and large deviations

|b|\leq 1+a