- Stochastic processes and statistical mechanics
- Theoretical and Computational Physics
- Mathematical Dynamics and Fractals
- Quantum Chromodynamics and Particle Interactions
- Particle physics theoretical and experimental studies
- Evolution and Genetic Dynamics
- Markov Chains and Monte Carlo Methods
- Stochastic processes and financial applications
- Advanced Thermodynamics and Statistical Mechanics
- High-Energy Particle Collisions Research
- Complex Network Analysis Techniques
- Prostate Cancer Treatment and Research
- Geotechnical and Geomechanical Engineering
- High-Velocity Impact and Material Behavior
- Prostate Cancer Diagnosis and Treatment
- Statistical Methods in Clinical Trials
- RNA and protein synthesis mechanisms
- Quantum chaos and dynamical systems
- Bacterial Genetics and Biotechnology
- Bacteriophages and microbial interactions
- Advanced Mathematical Modeling in Engineering
- Fungal and yeast genetics research
- advanced mathematical theories
- Quasicrystal Structures and Properties
- Black Holes and Theoretical Physics
Institute for Information Transmission Problems
2012-2023
National Research University Higher School of Economics
2022
Lomonosov Moscow State University
2018
Russian Academy of Sciences
2007-2015
Budker Institute of Nuclear Physics
2010-2014
Siberian Branch of the Russian Academy of Sciences
2013-2014
Novosibirsk State University
2013-2014
Development Agency of Serbia
2011
University of California, Los Angeles
2001-2003
University of Cambridge
2002
We study the continuous version of contact model. Using an analytic approach, we construct non-equilibrium process as a Markov on configuration space. The construction is based analysis correlation functions evolution. problem concerning invariant measures well asymptotics are also studied.
The cross section of the process e+e−→3(π+π−) has been measured using a data sample 22pb−1 collected with CMD-3 detector at VEPP-2000 e+e− collider. 7956 signal events are selected in center-of-mass energy range 1.5–2.0 GeV. exhibits sharp drop near pp¯ threshold. A first study dynamics six-pion production performed.
We study a ground state of some non-local Schrödinger operator associated with an evolution equation for the density population in stochastic contact model continuum inhomogeneous mortality rates. found new effect this model, when even high-dimensional case existence small positive perturbation special form (so-called, paradise) implies appearance state. consider problem Banach space bounded continuous functions and Hilbert .
A model is proposed primarily for the classical RNA attenuation regulation of gene expression through premature transcription termination. The based on concept secondary structure macrostate within regulatory region between ribosome and RNA-polymerase, hypothetical equation describing deceleration RNA-polymerase by a views translation initiation elongation, under different values four basic parameters which were varied. special effort was made to select adequate parameters. We first discuss...
In general, the mechanism of protein translocation through apicoplast membrane requires a specific extension functionally important region apicoplast-targeted proteins. The corresponding signal peptides were detected in many apicomplexans but not majority proteins Toxoplasma gondii . T. are either much diverged or their is processed, which case makes situation different from other studied apicomplexans. We propose statistic method to compare extensions regions More specifically, we provide...
2008 г. январь -февраль т. 63, вып. 1 (379) УСПЕХИ МАТЕМАТИЧЕСКИХ НАУК УДК 519.2 Обратимость и необратимость в стохастической химической кинетике В. А
We suggest a new approach to the estimation of parameters in-homogeneous spatio-temporal marked point fields. It is based on method adaptive weights smoothing (AWS). construct generalized version AWS algorithm for calculating spatial and fields density, mean values correlation (fractal) dimension. The used evaluate seismic process parameter from earthquake catalogues. use these estimates predict strong earthquakes. compare results forecasting kernel procedure. AWS-based was observed surpass...
We study large fluctuations of emitted radiation in the system N non-interacting two-level atoms. Two methods are used to calculate probability and time dependence excitation emission. The first method is based on deviation principle for Markov processes. second one uses an analogue quantum formalism classical problems.
The paper examines questions of local asymptotic stability random dynamical systems. Results concerning stochastic dynamics in general metric spaces, as well Banach are obtained. results pertaining to spaces based on the linearization systems under study. theory is motivated (and illustrated this paper) by applications mathematical finance.
The contact process is a particular case of birth-and-death processes on infinite particle configurations. We consider the locally compact separable metric spaces. prove existence one-parameter set invariant measures in critical regime under condition imposed associated Markov jump process. This means that any pair independent trajectories this run away from each other. general scheme can be applied to lattice heterogeneous and random environments as well graphs manifolds.
Serum of 336 patients with primary prostate cancer (PC) baseline total prostate-specific antigen level (totPSA) < 30.0 ng/ml was tested for free PSA (freePSA) and [-2]proPSA; %freePSA, %[-2]proPSA, health index (phi), a new APHIG calculated using lab tests taking into account age, T stage Gleason score from biopsy were evaluated. Obtained data compared to tumor (pTNM) malignancy grade according the based on final histological report after prostatectomy. has statistically significant benefits...
We provide conditions for the existence of measurable solutions to equation <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="xi left-parenthesis upper T omega right-parenthesis equals f comma xi right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mi>ξ</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>T</mml:mi> <mml:mi>ω</mml:mi> stretchy="false">)</mml:mo> <mml:mo>=</mml:mo> <mml:mi>f</mml:mi> <mml:mo>,</mml:mo> </mml:mrow>...
In previous work, we introduced a concept, mathematical model and its computer realization that describe the interaction between bacterial phage type RNA polymerases, protein factors, DNA secondary structures during transcription, including transcription initiation termination. The accurately reproduces changes of gene level observed in polymerase sigma-subunit knockout heat shock experiments plant plastids. corresponding program user guide are available at http://lab6.iitp.ru/en/rivals ....