On the boundary behavior of multi-type continuous-state branching processes with immigration

DOI10.1214/20-ECP364zbMath1477.60063arXiv1902.01162OpenAlexW3113903879MaRDI QIDQ2064884

Martin Friesen, Peng Jin, Barbara Rüdiger

Publication date: 6 January 2022

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.01162

zbMATH Keywords

comparison principleextinctiontransiencemulti-type continuous-state branching process with immigration

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Sample path properties (60G17) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

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Cites Work

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• A Lamperti-type representation of continuous-state branching processes with immigration
• Local extinction in continuous-state branching processes with immigration
• On the hitting times of continuous-state branching processes with immigration
• Existence of limiting distribution for affine processes
• Sato's conjecture on recurrence conditions for multidimensional processes of Ornstein-Uhlenbeck type
• On the convergence of sequences of branching processes
• Affine processes and applications in finance
• Smoothness of continuous state branching with immigration semigroups
• Stochastic equations for two-type continuous-state branching processes with immigration
• Geometric ergodicity of affine processes on cones
• Existence of densities for multi-type continuous-state branching processes with immigration
• Stochastic equations of non-negative processes with jumps
• Affine processes on \(\mathbb{R}_+^m\times\mathbb{R}^n\) and multiparameter time changes
• Small-time sharp bounds for kernels of convolution semigroups
• Density approximations for multivariate affine jump-diffusion processes
• Affine diffusions and related processes: simulation, theory and applications
• Introductory lectures on fluctuations of Lévy processes with applications.
• Stochastic equation and exponential ergodicity in Wasserstein distances for affine processes
• Probabilistic Models of Population Evolution
• Measure-Valued Branching Markov Processes
• Weak convergence of sequences of semimartingales with applications to multitype branching processes
• Asymptotic behaviour of continuous time, continuous state-space branching processes
• On the anisotropic stable JCIR process
• Stochastic differential equation with jumps for multi-type continuous state and continuous time branching processes with immigration
• A Limit Theorem for Discrete Galton-Watson Branching Processes with Immigration
• The Limit of a Sequence of Branching Processes
• Stochastic branching processes with continuous state space
• On Two Dimensional Markov Processes with Branching Property

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