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Article
Large deviations for a symmetric branching random walk on a multidimensional lattice
An important role in the theory of branching random walks is played by the problem of the spectrum of a bounded symmetric operator, the generator of a random walk on a multidimensional integer lattice, with a ...
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Article
On decoupling of functions of normal vectors. II
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Article
Limit theorems and phase transitions for two models of summation of iid random variables depending on parameters
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Article
Population structure inside the propagation front of a branching random walk with finitely many centers of particle generation
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Article
On decoupling of functions of normal vectors
Two decoupling type inequalities for functions of Gaussian vectors are proved. In both cases, it turns out that the case of linear functions is the extreme one. The proofs involve certain properties ofWick’s (...
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Article
Branching processes with lattice spatial dynamics and a finite set of particle generation centers
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Article
Diffusion processes on solvable groups of upper triangular 2×2 matrices and their approximation
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Article
Optimization of integral service networks
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Article
On the level density of random band matrices
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Article
The localization problem for a random elastic continuum with dispersion
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Article
Spectral methods in the theory of differential-functional equations
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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
Lifshits asymptotics for one-dimensional stochastic operators
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Article
Local structure of the spectrum of a one-dimensional random Schrödinger operator
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Article
Martin boundaries for the direct product of Markov processes