A path integral approach to age dependent branching processes

DOI10.1088/1742-5468/aa4f16zbMath1456.92117arXiv1512.05431OpenAlexW2964293484MaRDI QIDQ3302973

Chris D. Greenman

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.05431

Mathematics Subject Classification ID

Applications of branching processes (60J85) Population dynamics (general) (92D25)

Related Items (9)

Time series path integral expansions for stochastic processes ⋮ Doi-Peliti path integral methods for stochastic systems with partial exclusion ⋮ Reaction diffusion systems and extensions of quantum stochastic processes ⋮ PDE Models of Adder Mechanisms in Cellular Proliferation ⋮ The interplay between population genetics and diffusion with stochastic resetting ⋮ Solving the chemical master equation for monomolecular reaction systems and beyond: a Doi-Peliti path integral view ⋮ Duality relations between spatial birth–death processes and diffusions in Hilbert space ⋮ On diffusions with stochastic resettings: noisy restarts, optimal rates and interaction modelling ⋮ Kinetic theory for structured populations: application to stochastic sizer-timer models of cell proliferation

Cites Work

• On the establishment, persistence, and inevitable extinction of populations
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• Population-size-dependent and age-dependent branching processes.
• On the chaotic properties of the von Foerster-Lasota equation
• Applications of field-theoretic renormalization group methods to reaction–diffusion problems
• Coalescence in Subcritical Bellman-Harris Age-Dependent Branching Processes
• SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS
• On the Theory of Age-Dependent Stochastic Branching Processes
• ON THE USE OF MATRICES IN CERTAIN POPULATION MATHEMATICS
• Quantum Field Theory
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