[图书][B] Measure-Valued Branching Processes

Z Li, Z Li - 2011 - Springer
A measure-valued process describes the evolution of a population that evolves according to
the law of chance. In this chapter we provide some basic characterizations and constructions …

[HTML][HTML] Existence and pathwise uniqueness to an SPDE driven by α-stable colored noise

J Xiong, X Yang - Stochastic Processes and their Applications, 2019 - Elsevier
In this paper we study a stochastic partial differential equation (SPDE) with Hölder
continuous coefficient driven by an α-stable colored noise. The pathwise uniqueness is …

Pathwise uniqueness for an SPDE with Hölder continuous coefficient driven by -stable noise

X Yang, X Zhou - 2017 - projecteuclid.org
In this paper we study the pathwise uniqueness of nonnegative solution to the following
stochastic partial differential equation with Hölder continuous noise coefficient …

Remaining-lifetime age-structured branching processes

Z Cheng, Z Li - arXiv preprint arXiv:2401.02462, 2024 - arxiv.org
We study age-structured branching models with reproduction law depending on the
remaining lifetime of the parent. The lifespan of an individual is decided at its birth and its …

Long-time behavior for subcritical measure-valued branching processes with immigration

M Friesen - Potential Analysis, 2023 - Springer
In this work we study the long-time behavior for subcritical measure-valued branching
processes with immigration on the space of tempered measures. Under some reasonable …

Well-posedness of the martingale problem for super-Brownian motion with interactive branching

L Ji, J Xiong, X Yang - Stochastic Processes and their Applications, 2023 - Elsevier
In this paper a martingale problem for super-Brownian motion with interactive branching is
derived. The uniqueness of the solution to the martingale problem is obtained by using the …

Conditional Least Squares Estimation for Fractional Super Levy Processes in Nonlinear SPDEs

JPN Bishwal - European Journal of Mathematical Analysis, 2024 - adac.ee
Conditional Least Squares Estimation for Fractional Super Levy Processes in Nonlinear
SPDEs Jaya PN Bishwal 1. Introduction a Page 1 ©2024 Ada Academica https://adac.ee Eur …

[HTML][HTML] Superprocesses with interaction and immigration

J Xiong, X Yang - Stochastic Processes and their Applications, 2016 - Elsevier
We construct a class of superprocesses with interactive branching, immigration
mechanisms, and spatial motion. It arises as the limit of a sequence of interacting branching …

[HTML][HTML] A distribution-function-valued SPDE and its applications

L Wang, X Yang, X Zhou - Journal of Differential Equations, 2017 - Elsevier
In this paper we further study the stochastic partial differential equation first proposed by
Xiong [22]. Under localized conditions on its coefficients, we prove a comparison theorem on …

Well-posedness of martingale problem for SBM with interacting branching

L Ji, J Xiong, X Yang - arXiv preprint arXiv:2104.02295, 2021 - arxiv.org
In this paper a martingale problem for super-Brownian motion with interactive branching is
derived. The uniqueness of the solution to the martingale problem is obtained by using the …