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Article
Martin boundaries for the direct product of Markov processes
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Article
On a one-dimensional spin system
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Article
A pure point spectrum of the stochastic one-dimensional schrödinger operator
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Article
Percolation in random fields. I
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Article
Percolation in random fields. II
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Article
Structure of the spectrum of a lacunary-limit-periodic Schrödinger operator
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Article
Structure of the spectrum of the periodic Schrödinger operator on the Euclidean torus
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Article
Local structure of the spectrum of a one-dimensional random Schrödinger operator
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Article
Percolation in random fields. III
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Article
Asymptotic behavior of the Lifshits "tails" for random one-dimensional systems
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Article
Lifshits asymptotics for one-dimensional stochastic operators
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Article
Percolation theory and some applications
The goal of the survey is to present mathematically rigorous results obtained in the recent years in the new mathematical discipline: percolation theory, which is on the border between the theory of random fie...
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Article
Wave transmission coefficients for one-dimensional random barriers
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Article
Mean-field models in the theory of random media. I
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Article
Mean-field models in the theory of random media. II
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Article
On T. Kato's problem regarding bounded solutions of differential-functional equations
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Chapter and Conference Paper
Magnetic Intermittency
Random flows of electrically conducting fluid generate intermittent magnetic fields. This means that principal contribution of the mean density of magnetic energy comes from widely spaced concentrations of mag...
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Article
Spectral methods in the theory of differential-functional equations
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Article
One-dimensional Schrödinger operator with unbounded potential: The pure point spectrum
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Article
Parabolic problems for the Anderson model
The objective of this paper is a mathematically rigorous investigation of intermittency and related questions intensively studied in different areas of physics, in particular in hydrodynamics. On a qualitative...