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Yulia Petrova
Yulia Petrova
Junior Researcher
Contacts:

29B Line 14th (Vasilyevsky Island), Room 225, 199178 Saint Petersburg, Russia

yu.pe.petrova@yandex.ru

CV

Education

11.2018 — Ph.D. (C.Sc.) in Mathematics and Physics («Probability theory and mathematical statistics»)
Intitution: St. Petersburg Department of Steklov Mathematical Institute
Advisors: Alexander Nazarov
Title: Exact L_2-small ball probabilities for the finite-dimensional perturbations of the Gaussian processes. Thesis shortThesis full.

06.2013 — Specialist Degree in Mathematics
Intitution: St. Petersburg State University


Scientific interests

  • spectral theory
  • partial differential equations
  • Gaussian processes
  • DLA and Hele-Shaw
  • displacement of viscous fluids in porous media

Publications

5 Petrova Yu.P., L_2-small ball asymptotics for a family of finite-dimensional perturbations of Gaussian functions; preprint (2019).
4 Petrova Yu.P., On Spectral Asymptotics for a Family of Finite-Dimensional Perturbations of Operators of Trace Class, Doklady Mathematics, 98:1 (2018), 367-369. Translated from Петрова Ю.П., О спектральных асимптотиках одного семейства конечномерных возмущений операторов со следом, Доклады Академии Наук, 481:5 (2018).
2 Petrova Yu.P., Exact L_2-small ball asymptotics for some Durbin processes, Zapiski Nauchnykh Seminarov POMI, 466 (2017), 211-233 (In Russian).
1 Nazarov A.I., Petrova Yu.P., The Small Ball Asymptotics in Hilbert Norm for the Kac-Kiefer-Wolfowitz Processes, Theory of Probability and Its Applications, 60:3 (2016), 460-480. Translated from Назаров А.И., Петрова Ю.П., Асимптотика малых уклонений в гильбертовой норме для процессов Каца-Кифера-Вольфовица, Теория вероятностей и ее применения, 60:3 (2015), 482-505.