Speciality:
01.01.05 (Probability theory and mathematical statistics)
Birth date:
12.07.1983
Phone: +7 (812) 428 42 12
Fax: +7 (812) 428 69 44
E-mail: ,
Website: https://www.math.spbu.ru/Teorver/preps/pusev.html Keywords: small deviations, small ball probabilities, Gaussian processes.
UDC: 519.2, 519
Subject:
Small deviations for Gaussian random functions under Hilbert norm.
Main publications:
A. I. Nazarov, R. S. Pusev, “Tochnaya asimptotika malykh uklonenii v $L_2$-norme s vesom dlya nekotorykh gaussovskikh protsessov”, Veroyatnost i statistika. 14–2, Zap. nauchn. sem. POMI, 364, POMI, SPb., 2009, 166–199; J. Math. Sci. (N. Y.), 163:4 (2010), 409–429
R. S. Pusev, “Asimptotika malykh uklonenii v vesovoi kvadratichnoi norme dlya polei i protsessov Materna”, TVP, 55:1 (2010), 187–195; Theory Probab. Appl., 55:1 (2011), 164–172
R. S. Pusev, “Asimptotika malykh uklonenii protsessov Bogolyubova v kvadratichnoi norme”, TMF, 165:1 (2010), 134–144; Theoret. and Math. Phys., 165:1 (2010), 1348–1357
Ya. Yu. Nikitin, R. S. Pusev, “Tochnaya asimptotika malykh uklonenii dlya ryada brounovskikh funktsionalov”, TVP, 57:1 (2012), 98–123
A. I. Nazarov, R. S. Pusev, “Teoremy sravneniya dlya veroyatnostei malykh uklonenii vesovykh $L_2$-norm grinovskikh gaussovskikh protsessov”, Algebra i analiz, 25:3 (2013), 131–146