Evelina Shamarova

Researcher under the program Ciência 2008 at the Mathematics Center of the University of Porto July 1, 2009 – current   (5-year) Contact address : Faculdade de Ciências Universidade do Porto Departamento de Matemática Rua do Campo Alegre, 687 4169-007 Porto Portugal Tel.: +351-220402282 E-mail: Evelina Shamarova evelinas@fc.up.pt

Research interests

• Topics:
  • Stochastic analysis of the Navier-Stokes equations
  • SDEs in infinite dimensions, connection to PDEs
  • Diffusion processes on manifolds
  • Infinite dimensional analysis
• Conferences in 2011 I participate in:
  • Integral and differential operators and their applications, Aveiro, Portugal, June 30 - July 2 (talk)
  • 5th International Conference on Stochastic Analysis and its Applications, Bonn, Germany, September 5-9 (talk)
  • 8th International Conference on Function Spaces, Differential Operators, Nonlinear Analysis, Tabarz/Thür., Germany, September 18-24 (talk)

Curriculum Vitae

Publications and Preprints

• E. Shamarova   Solution to the Navier-Stokes equations with random initial data, arXiv:1106.3861v1 , preprint, 2011


• E. Shamarova,   Chernoff's theorem for backward propagators and applications to diffusions on manifolds, arXiv: 1001.3373v2, Operators and Matrices, special issue of proceedings of the 2nd Najman Conference on Spectral Problems for Operators and Matrices, 2011, in print


• A. B. Cruzeiro and E. Shamarova,   On a forward-backward stochastic system associated to the Burgers equation, arXiv: 1001.3367v2, to appear in Stochastic Analysis with Financial Applications (A. Kohatsu-Higa, N. Privault, S.J. Sheu, eds.), Progress in Probability, Birkhäuser Verlag, 2010.


• A. B. Cruzeiro and E. Shamarova,   Navier-Stokes equations and forward-backward SDEs on the group of diffeomorphisms of a torus, "Stochastic Processes and their Applications", Vol. 119, Issue 12, 2009, 4034-4060, arXiv: 0807.0421v5


• E. Shamarova,  A mathematical approach to Jarzynski's identity in nonequilibrium statistical mechanics , "Infinite Dimensional Analysis, Quantum probability and related topics'', Vol. 12, No. 2, 2009, 213-229, arXiv: math/0701360v4


• E. Shamarova,  Differential forms on locally convex spaces and the Stokes formula, accepted in "Fundamental and applied mathematics" (in Russian), in "Journal of Mathematical Sciences (New York)" (in English), arXiv:0807.2200v2


• E. Shamarova,   Approximation of the heat kernel on a Riemannian manifold based on the Smolyanov-Weizsäcker approach, ESI preprint, 2007, arXiv: math/0701281v1


• E. Shamarova,  Constructing a Brownian sheet with values in a compact Riemannian manifold , "Math. Notes" 76, N 4, 590-596, 2004


• E. Shamarova,  Chernoff's theorem for evolution families, Proceedings of the conference "Lomonosov's readings'' at Lomonosov MSU, 457-460, 2003, arXiv:0706.4079v1


• E. Shamarova,  Approximation of surface measures in a locally convex space , "Math. Notes" 72, N 4, 551-568, 2002

Teaching

• "Stochastic processes"

Ph.D. thesis (2005)

My Ph.D. thesis: Surface measures and the Stokes formula in locally convex spaces

Abstract to my Ph.D. thesis: Abstract

Private Website

Last updated: 29.08.2011 by Evelina Shamarova