Stanislaw Alexejewitsch Moltschanow

From left: Charles Newman, Stanislav Molchanov, Jürgen Gärtner , Oberwolfach 2003

Stanislaw Alexejewitsch Moltschanow ( Russian Станислав Алексеевич Молчанов , English transcription Stanislav Molchanov ; born December 21, 1940 in Snetinowo , Ivanovo Oblast ) is a Russian mathematician.

Molchanov studied mathematics from 1958 at Lomonossow University, graduating from Eugene Dynkin in 1963, where he also received his doctorate in 1967 (Some problems in the theory of Martin margins (Russian)). His habilitation (Russian doctorate) took place in 1983 (spectral theory of random operators (Russian)). In 1966 he became a lecturer in the department of probability theory and mathematical statistics at Lomonosov University, where he became a professor in 1971 and was given a full professorship in 1988. In 1990 he went to the United States and was visiting professor at the University of California, Irvine and the University of Southern California before becoming a professor at the University of North Carolina in Charlotteville in 1994 .

Among other things, he was visiting professor at the International School for Probability Theory in St. Flour, at Ruhr University Bochum, ETH Zurich, EPFL Lausanne, TU Berlin, in Paris (Universities Paris IV and VI), Ottawa, Rome, Santiago de Chile, at the Isaac Newton Institute and Bielefeld.

He deals with the geometric access to Markov processes (Martin boundaries, diffusion on Riemannian manifolds), spectral theory (localization in random media, spectrum of differential operators on Riemannian manifolds) and physical processes in disordered media (averaging, intermittency , applications in geophysics , Astrophysics, oceanography) and waves in periodic and disordered media with applications in optics and quantum graphs.

With I. Goldsheid and L. Pastur , he proved localization in the Anderson model in one dimension in 1977 and with Michael Aizenman for large coupling constants and energies near the edge of the spectrum.

In 1990 he was invited to speak at the International Congress of Mathematicians in Kyoto ( Localization and Intermittency: new results ). In 2012 he became a Fellow of the American Mathematical Society .

Fonts

Diffusion processes and Riemannian Geometry, Uspekhi Math. Nauka, Volume 30, 1975, pp. 3-59.
Ideas in the theory of Random Media, Acta Appl. Math, Vol. 12, 1991, pp. 139-282.
with Ju. Zaldovich, A. Ruzmaikin, D. Sokolov: Intermittency, diffusion and generation in a non-stationary random medium, Sov. Sci. Rev., Sec. C, Volume 7, pp. 1-110.
with D. Bakry, R. Gill: Lectures on probability theory, 1992 Summer School in probability, Sant-Flour, France, Springer Lecture notes in mathematics 1581, 1994
with R. Carmona: Parabolic Anderson model and intermittency, Memoirs of American Math Soc. 518
Topics in statistical oceanography, in: Stochastic Modeling in Physical Oceanography, Birkhäuser 1996, pp. 343-381.
Editor with W. Woyczynski: Stochastic Models in Geosystems, The IMA volumes in mathematics and its applications, Vol. 85, 1997
Multiscale averaging for ordinary differential equations, in: Homogenization, World Scientific 1999, pp. 316-397
Fluctuations in Chemical Kinetics, Lecture notes, EPFL, 2001
with G. Ben Arous, L. Bogachev: Limit theorems for random exponentials, in: Probability theory related fields, Volume 132, 2005, pp. 579-612.
with G. Ben Arous, A. Ramirez: Transition from the annealed to the quenched asymptotics for a random walk on random obstacles, Annals of Probability, Volume 33 (2005), pp. 2149-2187
with J. Gärtner: Parabolic problems for the Anderson model. I. intermittency and related topics. Commun. Math. Phys., Vol. 132, 1990, pp. 613-655.
with J. Gärtner, W. Kanig: Geometric characterization of intermittency in the parabolic Anderson model, Annals of Probability, Volume 35, 2007, pp. 439-499
with B. Vainberg: Transition from a network of thin fibers to the quantum graphs, Contemp. Math, Vol. 415, 2006, AMS, pp. 227-239
with B. Vainberg: Scattering solutions in networks of thin fibers: small diameter asymptotics, Comm.Math.Phys., Volume 273, 2007, pp. 533-559.
with Frank den Hollander, O. Zeituni: Random media in Saint Flour ", Springer, 2012
with L. Pastur, E. Ray: Examples of Random Schroedinger type operators with non-Poissonian spectra ", Proc. of the conference" Mathematical Physics of Disordered System "in honor of L. Pastur, 2013
with L. Koralov, B. Vainberg: On mathematical foundation of the Brownian motor theory, Journal of Functional Analysis, Volume 267, 2014, pp. 1725-1750. doi : 10.1016 / j.jfa.2014.06.009 arXiv
with Ya. Zeldovich, A. Ruzmaikin, D. Sokoloff: Intermittency, Diffusion and Generation in a Non-stationary Random Medium, Cambridge Scientific Publishers, Reviews in Mathematics and Mathematical Physics, Vol.15, part I, 2015

Web links

Individual evidence

↑ Classified as Associate Professor on his English résumé
↑ Goldsheid, Molchanov, Pastur, A pure point spectrum for the stochastic one dimensional Schrödinger equation, Funct. Analysis Applic., Vol. 11, 1977, pp. 1-10.
↑ M. Aizenman, S. Molchanov, Localization at large disorder and extreme energies: an elementary derivation, Comm. Math. Phys., Vol. 157, 1993, pp. 235-277.

personal data
SURNAME	Moltschanow, Stanislaw Alexejewitsch
ALTERNATIVE NAMES	Molchanov, Stanislav; Молчанов, Станислав Алексеевич (Russian)
BRIEF DESCRIPTION	Russian mathematician
DATE OF BIRTH	December 21, 1940
PLACE OF BIRTH	Snetinovo , Ivanovo Oblast

[1] Classified as Associate Professor on his English résumé

[2] Goldsheid, Molchanov, Pastur, A pure point spectrum for the stochastic one dimensional Schrödinger equation, Funct. Analysis Applic., Vol. 11, 1977, pp. 1-10.

[3] M. Aizenman, S. Molchanov, Localization at large disorder and extreme energies: an elementary derivation, Comm. Math. Phys., Vol. 157, 1993, pp. 235-277.