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  1. No Access

    Article

    Phase States Aggregation of Random Walk on a Multidimensional Lattice

    A time-continuous random walk on a multidimensional lattice which underlies the branching random walk with an infinite number of phase states is considered. The random walk with a countable number of states ca...

    G. A. Popov, E. B. Yarovaya in Moscow University Mathematics Bulletin (2024)

  2. No Access

    Article

    Instabilities in Random Media and Peaking Regimes

    We consider a system of particles (bacteria) in a medium, in which the birth and death intensities are distributed in space at random. In this system, we study the increase in the average number of particles, ...

    V. A. Kutsenko, D. D. Sokoloff… in Journal of Experimental and Theoretical Ph… (2023)

  3. No Access

    Article

    Structure of the Population of Particles for a Branching Random Walk in a Homogeneous Environment

    We consider a symmetric branching random walk in a multi-dimensional lattice with continuous time and Markov branching process at each lattice point. It is assumed that initially at each lattice point there i...

    D. M. Balashova, E. B. Yarovaya in Proceedings of the Steklov Institute of Mathematics (2022)

  4. No Access

    Article

    Simulation of Branching Random Walks on a Multidimensional Lattice

    We consider continuous-time branching random walks on multidimensional lattices with birth and death of particles at a finite number of lattice points. Such processes are used in numerous applications, in part...

    E. M. Ermishkina, E. B. Yarovaya in Journal of Mathematical Sciences (2021)

  5. No Access

    Chapter and Conference Paper

    Influence of the Configuration of Particle Generation Sources on the Behavior of Branching Walks: A Case Study

    We consider a supercritical continuous-time branching random walk on a multidimensional lattice with finite number of particle generation sources of the same intensities without any restrictions on the varianc...

    E. B. Yarovaya in Operator Theory and Harmonic Analysis (2021)

  6. No Access

    Article

    Modern probabilistic and statistical approaches to search for nucleotide sequence options associated with integrated diseases

    Complex diseases are a major important problem for modern medicine. These diseases arise under the influence of specific environmental and clinical-demographic factors, so-called risk factors, in combination w...

    A. I. Rytova, E. Yu. Khlebus, A. E. Shevtsov, V. A. Kutsenko… in Russian Journal of Genetics (2017)

  7. No Access

    Article

    Effect of fibrinogen on platelet reactivity measured by the VerifyNow P2Y12 assay

    The VerifyNow assay is based upon the ability of activated platelets to cross-link beads coated with fibrinogen. However, fibrinogen is an abundant protein of blood, and therefore it may affect test results by...

    A. B. Dobrovolsky, P. S. Laguta, E. V. Guskova, E. B. Yarovaya… in Biochemistry (Moscow) (2016)

  8. No Access

    Article

    Multidimensional Watson lemma and its applications

    We prove the multidimensional analog of the well-knownWatson lemma and then apply it to prove a local limit theorem for the transition probabilities of symmetric random walks on the multidimensional lattice wi...

    A. I. Rytova, E. B. Yarovaya in Mathematical Notes (2016)

  9. No Access

    Article

    The structure of the positive discrete spectrum of the evolution operator arising in branching random walks

    A branching random walk (BRW) with continuous time and a finite number of branching sources located at points of a multidimensional lattice is considered. The definition of weakly supercritical BRWs, whose dis...

    E. B. Yarovaya in Doklady Mathematics (2015)

  10. No Access

    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 ...

    S. A. Molchanov, E. B. Yarovaya in Proceedings of the Steklov Institute of Mathematics (2013)

  11. No Access

    Article

    Population structure inside the propagation front of a branching random walk with finitely many centers of particle generation

    S. A. Molchanov, E. B. Yarovaya in Doklady Mathematics (2012)

  12. No Access

    Article

    Branching processes with lattice spatial dynamics and a finite set of particle generation centers

    S. A. Molchanov, E. B. Yarovaya in Doklady Mathematics (2012)

  13. No Access

    Article

    Spectral properties of evolutionary operators in branching random walk models

    We introduce a model of continuous-time branching random walk on a finite-dimensional integer lattice with finitely many branching sources of three types and study the spectral properties of the operator descr...

    E. B. Yarovaya in Mathematical Notes (2012)

  14. No Access

    Article

    Models of branching walks and their use in the reliability theory

    Application of the branching walk models in the reliability theory was discussed. The results obtained for the models of a symmetric continuous-time branching random walk on Z ...

    E. B. Yarovaya in Automation and Remote Control (2010)

  15. No Access

    Article

    The monotonicity of the probability of return into the source in models of branching random walks

    The paper discusses two models of a branching random walk on a many-dimensional lattice with birth and death of particles at a single node being the source of branching. The random walk in the first model is a...

    E. B. Yarovaya in Moscow University Mathematics Bulletin (2010)

  16. No Access

    Article

    Use of spectral methods to study branching processes with diffusion in a noncompact phase space

    E. B. Yarovaya in Theoretical and Mathematical Physics (1991)