Spectral theory of branching processes. I

DOI10.1007/BF00532810zbMath0139.33804OpenAlexW2314132305MaRDI QIDQ5514869

James McGregor, Samuel Karlin

Publication date: 1966

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00532810

zbMATH Keywords

probability theory

Related Items (30)

Asymptotic expansions for dynamic programming recursions with general nonnegative matrices ⋮ On the ergodic theorem for positive operators I ⋮ Stochastic epidemics: Major outbreaks and the duration of the endemic period ⋮ Spectralities of branching processes ⋮ Near critical catalyst reactant branching processes with controlled immigration ⋮ Option Pricing in a One-Dimensional Affine Term Structure Model via Spectral Representations ⋮ Embeddability of Discrete Time Simple Branching Processes into Continuous Time Branching Processes ⋮ Mathematical analysis of the asymptotic behavior of the Leslie population matrix model ⋮ A Lemma on the Galton-Watson Process and Some of Its Consequences ⋮ Representation of branching processes ⋮ Iteration and the Solution of Functional Equations for Functions Analytic In the Unit Disk ⋮ Chaotic Dynamics of Composition Operators on the Space of Continuous Functions ⋮ Uniqueness and extinction of weighted Markov branching processes ⋮ Parasite population dynamics within a dynamic host population ⋮ Tail generating functions for extendable branching processes ⋮ Spectral representation for continuous state branching processes ⋮ Fear and its implications for stock markets ⋮ Continuous branching processes and spectral positivity ⋮ A stochastic functional equation ⋮ Modeling of a nonlinearity by a sequence of Markov chains ⋮ Markov chains as models in statistical mechanics ⋮ On the singular graph and the Weyl characteristic of an M-matrix ⋮ Theoretical analysis of the upwind finite volume scheme on the counter-example of Peterson ⋮ On the spectral representation of branching processes with mean one ⋮ Some distributions of ordered random intervals with applications ⋮ Stochastic compartmental model with branching particles ⋮ Dynamics of games and genes: Discrete versus continuous time ⋮ Spectral theory of branching processes. I ⋮ Random walks in two-dimensional complexes ⋮ Regular quantal response equilibrium

Cites Work

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• Coincidence probabilities
• On the generating functions of totally positive sequences. II
• Elementary Solutions for Certain Parabolic Partial Differential Equations
• Total positivity absorption probabilities and applications
• Spectral theory of branching processes. I
• The Existence of Eigenvalues for Integral Operators
• Integral representations for Markov transition probabilities
• Total Positivity, Absorption Probabilities and Applications

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