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183:. At MSU he was from 1966 to 1971 an assistant professor, from 1971 to 1988 an associate professor, and from 1988 to 1990 a full professor in the department of probability theory and mathematical statistics. He was a visiting professor from 1991 to 1992 at the University of California, Irvine and from 1992 to 1993 at the University of Southern California. In 1994 Molchanov became a full professor at the University of North Carolina at Charlotte.
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and diffusion on
Riemannian manifolds) and with spectral theory (localization in random media and spectral properties of Riemannian manifolds). His research on applied mathematics includes physical processes and fields in disordered structures involving averaging and intermittency with applications
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He has been a visiting professor at the
International School for Probability Theory in St. Flour, the Ruhr-Universität Bochum, the ETH Zurich, the EPFL Lausanne, the TU Berlin, Paris (University Paris IV and VI), Ottawa, Rome, Santiago de Chile, Cambridge's
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with L. Pastur, E. Ray: Examples of Random
Schroedinger-type operators with non-Poissonian spectra", Proc. of the conference "Mathematical Physics of Disordered Systems" in honor of Leonid Pastur, 2013
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to geophysics, astrophysics, oceanography. With regard to physical processes, he has done research on wave processes in periodic and random media, quantum graphs, and applications to optics.
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with G. Ben Arous, A. Ramirez: Transition from the annealed to the quenched asymptotics for a random walk on random obstacles, Annals of
Probability, Vol. 33 (2005), pp. 2149–2187
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with J. Gärtner, W. König: Geometric characterization of intermittency in the parabolic
Anderson model, Annals of Probability, Vol. 35, 2007, pp. 439–499
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with G. Ben Arous, L. Bogachev: Limit theorems for sums of random exponentials, in: Probability theory and related fields, Vol. 132, 2005, pp. 579–612.
254:, A. Ruzmaikin, D. Sokolov: Intermittency, diffusion and generation in a non-stationary random medium, Sov. Sci. Rev., Sec. C, Vol. 7, 1988, pp. 1–110.
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with L. Koralov, B. Vainberg: On mathematical foundation of the
Brownian motor theory, Journal of Functional analysis, Vol. 267, 2014, pp. 1725–1750.
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with J. Gärtner: Parabolic problems for the
Anderson model. I. Intermittency and related topics. Commun. Math. Phys., Vol. 132, 1990, pp. 613–655.
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with B. Vainberg: Scattering solutions in networks of thin fibers: small diameter asymptotics, Comm. Math. Phys., Vol. 273, 2007, pp. 533–559.
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Aizenman, Michael; Molchanov, Stanislav (1993). "Localization at large disorder and at extreme energies: An elementary derivation".
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as editor with W. Woyczynski: Stochastic Models in
Geosystems, The IMA Volumes in Mathematics and Its Applications, Vol. 85, 1997;
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Goldsheid, I.; Molchanov, S.; Pastur, L. (1977). "A pure point spectrum for the one-dimensional stochastic Schrödinger equation".
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Topics in statistical oceanography, in: Stochastic
Modeling in Physical Oceanography, Birkhäuser 1996, pp. 343–380.
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Multiscale averaging for ordinary differential equations, in: Homogenization, World
Scientific 1999, pp. 316–397
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214:, Molchanov proved in 1993 localization for large coupling constants and energies near the edge of the spectrum.
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261:, 1992 Summer School in Probability, Sant-Flour, France, Springer Lecture notes in Mathematics 1581, 1994
392:, Cambridge Scientific Publishers, Reviews in Mathematics and Mathematical Physics, Vol.15, part I, 2015
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Transition from a network of thin fibers to the quantum graph: an explicitly solvable model
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and in 1983 with Russian Doctor of Sciences degree (higher doctoral degree) with thesis
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Ideas in the theory of random media, Acta Appl. Math, Vol. 12, 1991, pp. 139–282.
175:. At MSU Molchanov graduated in 1967 with Russian Candidate degree (Ph.D.) with thesis
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Eugene B. Dynkin Collection of Mathematics Interviews, Cornell University Library
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From 1958 to 1963 he was a student at the Mathematical and Mechanical faculty,
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he proved in 1977 localization in the Anderson model in one dimension. With
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Proceedings of the International Congress of Mathematicians, 1990, Kyoto
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Intermittency, Diffusion and Generation in a Nonstationary Random Medium
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Molchanov, Stanislav A. "Intermittency and localization: new results".
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Mathematics and Statistics, University of North Carolina at Charlotte
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Fluctuations in Chemical Kinetics, Lecture notes, EPFL, 2001
167:(MSU), where he graduated in 1963 with a master's thesis
560:"Interview with Stanislav Molchanov, English highlights"
268:, Memoirs of American Math Soc. Vol. 108, No. 518, 1994
344:, Contemp. Math, Vol. 415, 2006, AMS, pp. 227–239
237:, Uspekhi Math. Nauka, vol. 30, 1975, pp. 3–59.
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194:His research deals with geometrical approaches to
629:University of North Carolina at Charlotte faculty
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169:On one problem from the diffusion process theory
388:with Ya. Zeldovich, A. Ruzmaikin, D. Sokoloff:
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124:The University of North Carolina at Charlotte
634:Fellows of the American Mathematical Society
221:in Kyoto. In 2012 he became a Fellow of the
235:Diffusion processes and Riemannian Geometry
177:Some problems in the Martin boundary theory
266:Parabolic Anderson model and intermittency
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624:Academic staff of Moscow State University
217:In 1990 he was an invited speaker at the
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471:Communications in Mathematical Physics
609:Soviet emigrants to the United States
604:21st-century American mathematicians
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548:"Mochanov's Selected publications"
524:. Vol. 2. pp. 1091–1104.
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417:"Stanislav A. Molchanov (C.V.)"
148:Stanislav Alexeyevich Molchanov
45:Stanislav Alexeyevich Molchanov
619:Moscow State University alumni
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259:Lectures on Probability Theory
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153:Станислав Алексеевич Молчанов
16:Soviet American mathematician
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206:With Ilya Goldsheid and
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79:Moscow State University
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189:Isaac Newton Institute
58:Village of Snetinovo,
614:Probability theorists
229:Selected publications
538:Stanislav Molchanov
483:1993CMaPh.157..245A
359:Frank den Hollander
23:Stanislav Molchanov
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