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On The Martingale Problem For Interactive Measure-valued Branching Diffusions (memoirs Of The American Mathematical Society) by Edwin Arend Perkins is a nonfiction available to read on EtoBox.

What is On The Martingale Problem For Interactive Measure-valued Branching Diffusions (memoirs Of The American Mathematical Society) about?

This book develops stochastic integration with respect to “Brownian trees” and its associated stochastic calculus, with the aim of proving pathwise existence and uniqueness in a stochastic equation driven by a historical Brownian motion. Perkins uses these results and a Girsanov-type theorem to prove that the martingale problem for the historical process associated with a wide class of interactive branching measure-valued diffusions (superprocesses) is well posed. The resulting measure-valued processes will arise as limits of the empirical measures of branching particle systems in which particles interact through their spatial motions or, to a lesser extent, through their branching rates.

Who reads On The Martingale Problem For Interactive Measure-valued Branching Diffusions (memoirs Of The American Mathematical Society)?

Author

Edwin Arend Perkins

Publisher

American Mathematical Society

Published

1995

Language

EN

ISBN

9780821803585

Category

nonfiction

Subjects

Mathematics, Science, Stem