A. A. Dorogovtsev, Ia. A. Korenovska, “Some random integral operators related to a point processes”, Theory Stoch. Process., 2017, Volume 22(38), Issue 1,Pages <nobr>16

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Some random integral operators related to a point processes

A. A. Dorogovtsev^ab, Ia. A. Korenovska^a

^a Institute of Mathematics, National Academy of Sciences of Ukraine, Tereshchenkivska Str. 3, Kiev 01601, Ukraine
^b National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Institute of Physics and Technology, Peremogi avenue 37, Kiev, Ukraine

Abstract: We study some properties of a random integral operator in $L_2( \mathbb{R})$ whose kernel is defined as a convolution of a Gaussian density and a stationary point process.

Keywords: Random operator, point process, Arratia flow.

MSC: 60G55, 60H25

Language: English