Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
We describe the full exit boundary of random walks on homogeneous trees, in particular, on free groups. This model exhibits a phase transition; namely, the family of Markov measures under study loses ergodicity as a parameter of the random walk changes. The problem under consideration is a special case of the problem of describing the invariant (central) measures on branching graphs, which covers a number of problems in combinatorics, representation theory, and probability and was fully stated in a series of recent papers by the first author [1]–[3]. On the other hand, in the context of the theory of Markov processes, close problems were discussed as early as 1960s by E. B. Dynkin.
Язык оригинала | русский |
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Страницы (с-по) | 86-96 |
Число страниц | 11 |
Журнал | Functional Analysis and its Applications |
Том | 49 |
Номер выпуска | 2 |
DOI | |
Состояние | Опубликовано - 19 апр 2015 |
ID: 47487792