Open AccessJournal Article
Subcritical branching diffusions
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TL;DR: In this paper, the conditions générales d'utilisation (http://www.compositio.org/conditions) of the agreement with the Foundation Compositio Mathematica are described.
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Abstract: © Foundation Compositio Mathematica, 1977, tous droits réservés. L’accès aux archives de la revue « Compositio Mathematica » (http: //http://www.compositio.nl/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/conditions). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.
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Citations
Branching brownian motion with absorption
TL;DR: In this paper, the authors considered a branching diffusion where particles move during their life time according to a Brownian motion with drift -μ and variance coefficient σ 2, and in which each particle which enters the negative half line is instantaneously removed from the population.
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Some modified branching diffusion models
Søren Asmussen,Heinrich Hering +1 more
TL;DR: In this article, some modifications of positively regular one-dimensional branching diffusions motivated from the applications to epidemics and neutron transport theory are applied or extended to processes with several types of motion, retarded branching and/or general life lengths.
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Branching Diffusion Processes in AN Unbounded Domain
TL;DR: In this paper, sufficient conditions are found for existence of maximal isolated eigenvalues in the spectrum of the mathematical expectation of a branching diffusion process in an unbounded domain, and limit theorems are proved.
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References
The Theory of Branching Processes
T. E. Harris
- 01 May 1964
TL;DR: A review of the Galton and Watson mathematical model that applies probability theory to the effects of chance on the development of populations is given in this paper, followed by a systematic development of branching processes, and a brief description of some of the important applications.
•Book
Lectures on Elliptic Boundary Value Problems
Shmuel Agmon
- 01 Jan 1965
TL;DR: In this article, the authors present an introduction to the theory of higher-order elliptic boundary value problems, and a detailed study of basic problems of the theory, such as the problem of existence and regularity of solutions of higher order elliptic edge value problems.
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Fundamental solutions of parabolic differential equations and boundary value problems
TL;DR: In this paper, the authors considered the case where the domain in which the differential equation is considered is not necessarily bounded and gave the formula of eigenfunction expansions for elliptic differential equations with boundary conditions.
142
The probability generating functional
TL;DR: In this paper, the authors discuss the theory and application of the probability generating functional (p.fl) of a point process on the real line and present a useful tool for solution of particular problems.