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On some random integral operators generated by an Arratia flow
A. A. Dorogovtsev, Ia. A. Korenovska, E. V. Glinyanaya Institute of Mathematics, National Academy of Sciences of Ukrainian, Tereshchenkivska Str. 3, Kiev 01601, Ukraine
Аннотация:
We study some properties of a random integral operator in $L_2( \mathbb{R})$ whose kernel is generated by a stationary point process related to an Arratia flow. To prove that this random operator is not bounded we estimate the rate of growth of the maximal amount of clusters in Arratia flow on intervals of unit length.
Ключевые слова:
Arratia flow, strong random operator, point process, stochastic flow.
Образец цитирования:
A. A. Dorogovtsev, Ia. A. Korenovska, E. V. Glinyanaya, “On some random integral operators generated by an Arratia flow”, Theory Stoch. Process., 22(38):2 (2017), 8–18
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/thsp176 https://www.mathnet.ru/rus/thsp/v22/i2/p8
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