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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

6 Petrova Yu.P., L_2-small ball asymptotics for a family of finite-dimensional perturbations of Gaussian functions; preprint (2019).
5 Bakharev F., Campoli L., Enin A., Matveenko S., Petrova Y., Tikhomirov S., Yakovlev A., Numerical investigation of viscous fingering phenomenon for raw field data, accepted for print in Transport in porous media.
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.