Functional central limit theorems for supercritical superprocesses
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Publication:2360986
DOI10.1007/s10440-016-0072-3zbMath1370.60059arXiv1410.1598OpenAlexW159354845MaRDI QIDQ2360986
Renming Song, Rui Zhang, Yan-Xia Ren
Publication date: 29 June 2017
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.1598
Central limit and other weak theorems (60F05) Probabilistic potential theory (60J45) Random measures (60G57) Functional limit theorems; invariance principles (60F17) Superprocesses (60J68)
Related Items (3)
Stable central limit theorems for super Ornstein-Uhlenbeck processes ⋮ Central limit theorem for bifurcating Markov chains under pointwise ergodic conditions ⋮ Strong law of large numbers for supercritical superprocesses under second moment condition
Cites Work
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- Central limit theorems for super Ornstein-Uhlenbeck processes
- \(U\)-statistics of Ornstein-Uhlenbeck branching particle system
- Central limit theorems for supercritical branching nonsymmetric Markov processes
- Superprocesses and partial differential equations
- \(\mathbb{N}\)-measures for branching exit Markov systems and their applications to differential equations
- Occupation times of subcritical branching immigration systems with Markov motions
- A weighted occupation time for a class of measure-valued branching processes
- Occupation times of branching systems with initial inhomogeneous Poisson states and related superprocesses
- Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians
- Propriétés de martingales, explosion et représentation de Lévy- Khintchine d'une classe de processus de branchement à valeurs mesures. (Martingale properties, explosions and Levy-Khinchine representation of measure valued branching processes)
- Measure-valued branching diffusions: Immigrations, excursions and limit theorems
- Functional central limit theorem for super \(\alpha\)-stable processes
- Central limit theorems for supercritical branching Markov processes
- Occupation time limits of inhomogeneous Poisson systems of independent particles
- Central limit theorems for supercritical superprocesses
- CLT for Ornstein-Uhlenbeck branching particle system
- Functional limit theorems for multitype branching processes and generalized Pólya urns.
- Functional central limit theorem for the super-Brownian motion with super-Brownian immigra\-tion
- Limit theorems for occupation time fluctuations of branching systems. I: long-range dependence
- Limit theorems for occupation time fluctuations of branching systems. II: Critical and large dimensions
- OCCUPATION TIMES OF SUBCRITICAL BRANCHING IMMIGRATION SYSTEMS WITH MARKOV MOTION, CLT AND DEVIATION PRINCIPLES
- Measure-Valued Branching Markov Processes
- Skew Convolution Semigroups and Related Immigration Processes
- Occupation time fluctuations of Poisson and equilibrium branching systems in critical and large dimensions
- Martingale central limit theorems and asymptotic estimation theory for multitype branching processes
- Limit theorems for multitype continuous time Markov branching processes
- Limit theorems for multitype continuous time Markov branching processes
- A Limit Theorem for Multidimensional Galton-Watson Processes
- Additional Limit Theorems for Indecomposable Multidimensional Galton-Watson Processes
- Some refinements in the theory of supercritical multitype Markov branching processes
- Markov Processes, Brownian Motion, and Time Symmetry
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