Asymptotic fluctuations and critical dimension for a two-level branching system

DOI10.2307/3318546zbMath0870.60087OpenAlexW4252206218MaRDI QIDQ1815792

Louis G. Gorostiza

Publication date: 8 September 1997

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bj/1193839219

zbMATH Keywords

critical dimensionasymptotic fluctuationssuperprocess analysistwo-level branching system

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)

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Self-intersection local time for Gaussian \({\mathcal S}'(\mathbb{R} ^ d)\)-processes: Existence, path continuity and examples ⋮ GENERALIZED MEHLER SEMIGROUPS AND ORNSTEIN–UHLENBECK PROCESSES ARISING FROM SUPERPROCESSES OVER THE REAL LINE ⋮ Self-intersection local time of order \(k\) for Gaussian processes in \({\mathcal S}^ \prime (\mathbb R^ {d})\). ⋮ Degrees of transience and recurrence and hierarchical random walks

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