Date and place of birth: 21 December 1940, Snetinovo vil., Furmanov region, Ivan province, Russian Federation
Marital Status: Married, wife Alina Yakovlevna Reznikova
No. of Children: Two children: daughter Marina & son Pavel
Education
| 1958 | Student, Mathematical and Mechanical Faculty, Moscow State University |
| 1963 | Master thesis “On one problem from the diffusion process theory.” Supervisor Professor E. Dynkin (now a professor at Cornell University, USA) |
| 1963-1966 | Graduate student of the Department of Probability theory and Mathematical Statistics, MSU. Supervisor: Professor E. Dynkin |
| 1967 | Ph.D. degree I (Candidate of Sciences) Title of thesis: “Some problems in the Martin boundary theory.” |
| 1983 | Ph.D. degree II (Doctor of Sciences) Title of thesis: “Spectral theory of random operators.” |
Academic and Professional Experience
| 1966- 1971 | Assistant Professor, Department of Probability theory and Mathematica Statistics, MSU, Moscow |
| 1966- 1968 | Teacher, Special Mathematical School No. 2, Moscow (volunteer job) |
| 1971- 1998 | Associate Professor, Department of Probability theory and Mathematical Statistics, MSU, Moscow |
| 1988- 1990 | Full Professor, Department of Probability theory and Mathematical Statistics, MSU, Moscow |
| 1991- 1992 | Visiting Professor, University of California, Irvine (UCI), USA |
| 1992- 1993 | Visiting Professor, University of Southern California (USC), Los Angeles, USA |
| 1994 | Full Professor, Department of Mathematics, the University of North Carolina at Charlotte, Charlotte, NC, USA |
| 1992 (Summer) | Invited lectures Sant-Flour International School in Probability – 1 month |
| 1995 (Summer) | Visiting Professor, Ruhr University, Germany – 1 month |
| 1996 (Summer) | Visiting Professor, Paris-IV, France – 1 month |
| 1997 (Summer) | Visiting Professor, Berlin Technical University – 1 month |
| 1998- 1999 | Visiting Professor, University of Ottawa, Canada – 1 month |
| 2000- 2002 | Visiting Professor, EPFL, Lausanne, Switzerland – 2 months each summer |
| 2003 | Invited Lecturer, workshop and conferences, Isaac Newton Institution, Cambridge University, Cambridge, UK – 1 month |
| 2004 | Visiting Professor, University of Rome l, Italy – 1 month Visiting Professor, University of Santiago, Chile – 1 month |
| 2005 | Visiting Professor, University of California, Irvine – 1 month |
| 2007 | Visiting Fellow, Isaac Newton Institute, Cambridge University, Cambridge, UK – 1 month |
| 2008 | Visiting Fellow, Isaac Newton Institute, Cambridge University, Cambridge, UK – 1 month |
| 2010 | Visiting Fellow, University Paris 6, Paris – 1 month (June) Visiting Fellow, University of Bielefeld, Germany – 1 month (July) |
| 2011 | Visiting Fellow, University of Bielefeld, Germany – 2 months (June, July) |
| 2012 | Visiting Fellow, University of Bielefeld, 2 months |
| 2013 | Visiting Fellow, University of Bielefeld, 2.5 months |
| 2014 | Visiting Fellow, University of Bielefeld, 2.5 months |
| 2015 | Visiting Fellow, Isaac Newton Institute for Mathematics, Cambridge University, Cambridge, UK Academic advisor of the International Laboratory of Stochastic Analysis. National Research University Higher School of Economics, Russian Federation |
| 2016-2019 | Visiting Fellow, University of Bielefeld |
| 2022 | Visiting Fellow, Cambridge University, Cambridge, UK (On Rothschild Fellowship) |
Professional Achievements and Experience
- Marckov processes – geometrical approach (Martin boundaries, diffusion on the Riemannian manifolds).
- Spectral Theory – Localization in random media, spectral properties of the Riemannian manifolds.
- Physical processes and fields in disordered structures – averaging, intermittency with applications to geophysics, astrophysics, oceanography
- Wave processes in periodic and random media, quantum graphs, applications to optics, population dynamics, biochemistry