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The continuation method is used to investigate the existence of solutions to Fredholm integral equations in locally convex spaces.. 2000 Mathematics Subject
The Kre˘ın-Langer integral representation of a matrix-valued generalized Nevanlinna function arises in problems of spectral theory and interpolation.. A version of this formula which
Keywords: Duality, graphical representation, Feller’s branching diffusion, branching-coalescing particle process, resampling-selection model, stochastic population
Subordinated processes are processes constructed from integral representations with random kernels, or said another way, where the stable random measure (of the integral
Some classes of multivariate in- finitely divisible distributions admitting stochastic integral representations.. A connection between free and classical
Moreover, we show that the resulting stochastic integral satisfies a change of variable formula with a correction term that is an ordinary Itô integral with respect to a Brownian
In this paper we establish a stochastic formula to calculate the symbol of a class of Markov processes which we then apply to the solutions of certain stochastic differential
The overarching goal of this article is to prove the unique ergodicity of a class of nonlinear stochastic partial differential equations (SPDEs) driven by a finite number of
