On the martingale problem for interactive measure-valued branching diffusions

書誌事項

On the martingale problem for interactive measure-valued branching diffusions

Edwin Perkins

(Memoirs of the American Mathematical Society, no. 549)

American Mathematical Society, 1995

大学図書館所蔵 件 / 24

この図書・雑誌をさがす

注記

"May 1995, volume 115, number 549, (first of 5 numbers)."--T.p

Includes bibliographical references (p. 88-89)

内容説明・目次

内容説明

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.

「Nielsen BookData」 より

関連文献: 1件中  1-1を表示

詳細情報

ページトップへ