ИСТИНА |
Войти в систему Регистрация |
|
Интеллектуальная Система Тематического Исследования НАукометрических данных |
||
We consider self-similar ergodic transformations and flows that preserve the sigma-finite measure. Their properties and spectra of induced Gaussian and Poisson dynamical systems are studied. As an application we prove that for any set M ⊂ N, there is a Poisson suspension with spectral multiplicity set of the form M ∪ {∞}.