Dr  Evelina Shamarova

Current address (01.09.07  —  current): Mathematical Physics group University of Lisbon Av. Prof. Gama Pinto, 2 PT-1649-003 Lisbon Portugal Tel.: +351-21-7904857 Position: Post Doc E-mail: Evelina Shamarova evelina@cii.fc.ul.pt

Research interests

• Stochastic interpretation of the Navier-Stokes equations
• SDEs in infinite dimensions, connection to PDEs, Malliavin calculus
• Diffusion processes on manifolds
• Infinite dimensional analysis

I am a postdoctoral researcher at the Mathematical Physics group of the University of Lisbon.

My Research Statement

Curriculum Vitae

Publications and Preprints

• A. B. Cruzeiro and E. Shamarova,   Navier--Stokes equations and forward-backward SDEs on the group of diffeomorphisms of a torus, http://arXiv.org/abs/0807.0421, submitted


• E. Shamarova,  A mathematical approach to Jarzynski's identity in statistical mechanics, http://arxiv.org/abs/math.PR/0701360, accepted in "Infinite Dimensional Analysis, Quantum probability and related topics''


• E. Shamarova,  Chernoff's theorem for evolution families, http://arxiv.org/abs/0706.4079, submitted


• E. Shamarova,   Approximation of the heat kernel on a Riemannian manifold based on the Smolyanov--Weizsäcker approach, http://arxiv.org/abs/math.PR/0701281 , submitted


• E. Shamarova,  Constructing a Brownian sheet with values in a compact Riemannian manifold (Russian, English), Math. Notes 76, N 4, 590-596 (2004); translation from Mat. Zametki 76, N 4, 635-640 (2004)


• E. Shamarova, Approximation of surface measures in a locally convex space (Russian, English), Math. Notes 72, N 4, 551-568 (2002); translation from Mat. Zametki 72, N 4, 597-616 (2002)


• E. Shamarova,  Differential forms on locally convex spaces and the Stokes formula, http://arxiv.org/abs/0807.2200 , to appear in 2009 in "Fundamental and applied mathematics" (in Russian), in "Journal of Mathematical Sciences (New York)" (in English)


• E. Shamarova, Chernoff's theorem for evolution families of operators, Proceedings of the conference "Lomonosov's readings'' at the Lomonosov MSU, 457-460 (2003) (Russian)

Research in progress

• Forward-backward SDEs on the group of volume-preserving diffeomorphisms and constructing the Navier-Stokes solutions, joint work with A. B. Cruzeiro


• Brownian sheet on a compact Riemannian manifold

Ph.D. thesis

My Ph.D. thesis: Surface measures and the Stokes formula in locally convex spaces  (translation from Russian by the author)

Abstract to my Ph.D. thesis: Abstract

Given Talks and Contributions at Conferences

• Constructing a Brownian Sheet on a compact Riemannian manifold
- the talk was given at the conferences:
• Frankfurter Stochastik-Tage 2006
• 31st Conference on Stochastic Processes and their Applications
• International Congress of Mathematicians Madrid 2006
• Jarzynski's Identity
- the talk was given
• at the seminar of the Erwin Schrödinger Institute for Mathematical Physics
• at the conference Skorokhod Space. 50 Years On
• Chernoff's theorem for evolution families
- the talk was given at the seminar of the Mathematical physics group, University of Lisbon
• Navier-Stokes equations and forward-backward SDEs on the group of diffeomorphisms of a torus     (version of 26.09.08)
- the talk was given at the conference GOCPS 2008 - 8th German Open Conference on Probability and Statistics

Teaching

• Tutorials in experimental physics at the Physics Department of the University of Kaiserslautern, Germany, 2004-2005
• Supervising external students in general physics at the Physics Department of the University of Kaiserslautern, Germany, 2003
• Tutorials in analysis II at the Mathematics Department of the University of Kaiserslautern, Germany, 2002-2003
• Member of the admission committee for entrance examinations at the Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow, Russia, 2000-2001

Private Website

Last updated: 14.04.2009 by Evelina Shamarova