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Current address ( º — 31.10.08):
Position: Post Doc
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Research interests
- SDEs in infinite dimensions, connection to PDEs, Malliavin calculus
- Stochastic differential geometry on groups of diffeomorphisms, applications to hydrodynamics, Navier-Stokes equations
- Diffusion processes on manifolds
- Infinite dimensional analysis
I am a postdoctoral researcher at the group of Mathematical Physics of the Complexo Interdisciplinar da Universidade de Lisboa.
Curriculum Vitae
My CV is available here: CVPublications 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 the nonequilibrium work theorem, http://arxiv.org/abs/math.PR/0701360, submitted to "Infinite Dimensional Analysis, Quantum probability and related topics''
- E. Shamarova, Chernoff's theorem for evolution families, http://arxiv.org/abs/0706.4079, submitted to "Potential Analysis"
- 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 in locally convex spaces and the Stokes formula, http://arxiv.org/abs/0807.2200 , Journal of Mathematical Sciences (Fundamental and applied mathematics), accepted in 2003
- E. Shamarova, Chernoff's theorem for evolution families, Proceedings of the conference "Lomonosov's readings'', 457-460 (2003) (Russian)
- Forward-backward SDEs on the group of volume-preserving diffeomorphisms and constructing the Navier-Stokes solutions, joint work with A. B. Cruzeiro
- Navier-Stokes equations and forward-backward SDEs on the group of volume-preserving diffeomorphisms of an n-dimensional torus, joint work with A. B. Cruzeiro
- Constructing a Brownian sheet
on a compact Riemannian manifold
Research in progress
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
- Supervising of students in experimental physics at the Physics Department, University of Kaiserslautern, Germany, 2004-2005
- Supervising of external students in general physics at the Physics Department at the University of Kaiserslautern, Germany, 2003
- Supervising of tutorials in analysis II at the Mathematics Department at the University of Kaiserslautern, Germany, 2002-2003
- Member of the admission committee for entrance examinations in mathematics at the Faculty of Mechanics and Mathematics at Lomonosov Moscow State University, Moscow, Russia, 2000-2001
Private Website
http://www.evelyna.net