17917

Автор(ы): 

Автор(ов): 

1

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

On stochastic completeness of jump processes

Наименование источника: 

  • Mathematische Zeitschrift

Обозначение и номер тома: 

Т. 271, № 3-4

Город: 

  • Гейдельберг

Издательство: 

  • Springer-Verlag

Год издания: 

2012

Страницы: 

1211-1239
Аннотация
We prove the following sufficient condition for stochastic completeness of symmetric jump processes on metric measure spaces: if the volume of the metric balls grows at most exponentially with radius and if the distance function is adapted in a certain sense to the jump kernel then the process is stochastically complete. We use this theorem to prove the following criterion for stochastic completeness of a continuous time random walk on a graph with a counting measure: if the volume growth with respect to the graph distance is at most cubic then the random walk is stochastically complete, where the cubic volume growth is sharp.

Библиографическая ссылка: 

Григорьян А.А. On stochastic completeness of jump processes // Mathematische Zeitschrift. 2012. Т. 271, № 3-4. С. 1211-1239.