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Everything about Superprocess
Concept in probability theory
In probability theory, a superprocess is a measure-valued stochastic process that is usually constructed as a special limit of near-critical branching diffusions. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: SuperprocessA 5-minute orientation
- Skim a recent paper: The density of the (α,d,β)-superprocess and singular solutions to a fractional non-linear PDEInfluential work since 2022
- Pick up a classic book: Advances in Superprocesses and Nonlinear PDEsThe most-reprinted book on the subject
- Read the landmark paper: Damage segregation at fissioning may increase growth rates: A superprocess modelCited 54 times
- Go sideways: Brownian snakeA closely related topic
- Go sideways: Markov chains on a measurable state spaceA closely related topic
📖 Definitions
Noun A form of stochastic process related to diffusion.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Damage segregation at fissioning may increase growth rates: A superprocess model
Two representations of a conditioned superprocess
Weighted Occupation Time for Branching Particle Systems and a Representation for the Supercritical Superprocess
Slow and fast scales for superprocess limits of age-structured populations
A decomposition of the (1 + β)-superprocess conditioned on survival
Well-posedness of the martingale problem for superprocess with interaction
A Superprocess with Upper Confidence Bounds for Cooperative Spectrum Sharing
Local time and Tanaka formula for a multitype Dawson–Watanabe superprocess
🆕 Influential since 2022
📚 Books worth reading
Advances in Superprocesses and Nonlinear PDEsJanos Englander · 2013
Prokhorov and Contemporary Probability TheoryAlbert N. Shiryaev · 2013- 📕Lean & agile value chain managementEhap H. Sabri · 2010
SuperprocessesHrvoje ¿ iki♯ · 1993
An Introduction to SuperprocessesAlison M. Etheridge · 2000
Superprocesses at SaintFlour
Probability at SaintFlourEDWIN PERKINS · 2011
Regularity and Irregularity of Superprocesses with -stable Branching MechanismLeonid Mytnik, Vitali Wachtel · 2017
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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