ИСТИНА |
Войти в систему Регистрация |
|
Интеллектуальная Система Тематического Исследования НАукометрических данных |
||
Gaussian random fields on finite dimensional smooth manifolds whose variances reach their maximum values at smooth submanifolds are considered. Exact asymptotic behaviors of probabilities of large excursions of their trajectories have been evaluated. Vector Gaussian processes, chi-square processes, Bessel process, fractional Bessel process, Bessel bridge are examples of application of this result.