Traditional winter session MIAN–POMI devoted to the topic "Probability and Functional Analysis"

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Traditional winter session MIAN–POMI devoted to the topic "Probability and Functional Analysis"
(February 16–17, 2012, Steklov Mathematical Institute, Conference Hall, 9th floor, Moscow)

The scientific program of the session covers the following topics: probabilities on algebraic structures; random walks on groups; multidimensional principle of invariance and its infinite-dimensional generalizations; stochastic differential equations and Brownian motion; classical and quantum entropy and methods of convex analysis; noncommutative probability and its applications in quantum information theory.

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Organizers
Holevo Alexander Semenovich
Ibragimov Il'dar Abdullovich
Shiryaev Albert Nikolaevich
Vershik Anatolii Moiseevich

Institutions
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences


*Traditional winter session MIAN–POMI devoted to the topic "Probability and Functional Analysis", Moscow, February 16–17, 2012*

	*February 16, 2012 (Thu)*

1.	Random walk at random scenery, past of the Markov processes and scaling entropy A. M. Vershik February 16, 2012 10:00, Moscow, Steklov Mathematical Institute, Conference Hall, 9th floor


2.	The factorization of a discrete harmonic measure and the discrete Beurling estimate for a random walk D. S. Chelkak February 16, 2012 11:40, Moscow, Steklov Mathematical Institute, Conference Hall, 9th floor


3.	On strong and weak solutions to the stochastic differential equations with degenerating diffusion A. N. Shiryaev February 16, 2012 14:00, Moscow, Steklov Mathematical Institute, Conference Hall, 9th floor


4.	The central limit theorem for random fields Al. V. Bulinski February 16, 2012 15:00, Moscow, Steklov Mathematical Institute, Conference Hall, 9th floor


5.	Expectations of quantum observables in the representation of symplectic quantum tomography G. G. Amosov February 16, 2012 17:10, Moscow, Steklov Mathematical Institute, Conference Hall, 9th floor


6.	Multitype branching processes in a random environment E. E. D'yakonova February 16, 2012 17:40, Moscow, Steklov Mathematical Institute, Conference Hall, 9th floor


	*February 17, 2012 (Fri)*

7.	Estimates for a strong approximation in the multidimensional invariance principle A. Yu. Zaitsev February 17, 2012 10:00, Moscow, Steklov Mathematical Institute, Conference Hall, 9th floor


8.	Zeros of random polynomials of one or several variables D. N. Zaporozhets February 17, 2012 11:20, Moscow, Steklov Mathematical Institute, Conference Hall, 9th floor


9.	The Hoeffding inequality and probability density of infinite convolutions of distributions P. A. Yaskov February 17, 2012 12:00, Moscow, Steklov Mathematical Institute, Conference Hall, 9th floor


10.	Entropic characteristics of Markov operators and the additivity problem A. S. Holevo February 17, 2012 14:00, Moscow, Steklov Mathematical Institute, Conference Hall, 9th floor


11.	Output entropy of quantum channels and operations M. E. Shirokov February 17, 2012 15:00, Moscow, Steklov Mathematical Institute, Conference Hall, 9th floor


12.	Some functional analytic problems related to the utility maximization problem A. A. Gushchin February 17, 2012 16:00, Moscow, Steklov Mathematical Institute, Conference Hall, 9th floor


13.	The fractal Brownian motion: a new representation and its corollaries A. A. Muravlev February 17, 2012 16:40, Moscow, Steklov Mathematical Institute, Conference Hall, 9th floor


14.	On the Chernoff problem of sequential discrimination between hypotheses on the drift of Brownian motion M. V. Zhitlukhin February 17, 2012 17:10, Moscow, Steklov Mathematical Institute, Conference Hall, 9th floor

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