Yarovyy V. Sojiourn measures

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0407U000125

Applicant for

Specialization

  • 01.01.05 - Теорія ймовірностей і математична статистика

19-12-2006

Specialized Academic Board

Д 26.206.02

The Institute of Mathematics of NASU

Essay

The thesis is devoted to the study of asymptotic behavior of stochastic processes. For stochastic processes in metric space the sojourn measures are determined and considered their main properties. For solutions of stochastic partial differential equations along curve which tends to infinity the sojourn measures are founded. For these sojourn measures the local ergodic theorem is proved.

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