Search Results - "Chechkin, A."

Random Search with Resetting: A Unified Renewal Approach by Chechkin, A, Sokolov, I M

“…We provide a unified renewal approach to the problem of random search for several targets under resetting. This framework does not rely on specific properties…”
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Brownian yet non-Gaussian diffusion in heterogeneous media: from superstatistics to homogenization by Postnikov, E B, Chechkin, A, Sokolov, I M

“…We discuss the situations under which Brownian yet non-Gaussian (BnG) diffusion can be observed in the model of a particle's motion in a random landscape of…”
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The Meyers Estimates for Domains Perforated along the Boundary by Chechkin, Gregory A.

“…In this paper, we consider an elliptic problem in a domain perforated along the boundary. By setting a homogeneous Dirichlet condition on the boundary of the…”
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Generalized fractional diffusion equations for accelerating subdiffusion and truncated Lévy flights by Chechkin, A V, Gonchar, V Yu, Gorenflo, R, Korabel, N, Sokolov, I M

“…Fractional diffusion equations are widely used to describe anomalous diffusion processes where the characteristic displacement scales as a power of time. For…”
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Application of Fatou’s Lemma for Strong Homogenization of Attractors to Reaction–Diffusion Systems with Rapidly Oscillating Coefficients in Orthotropic Media with Periodic Obstacles by Bekmaganbetov, Kuanysh A., Chechkin, Gregory A., Chepyzhov, Vladimir V.

“…We study reaction–diffusion systems with rapidly oscillating terms in the coefficients of equations and in the boundary conditions, in media with periodic…”
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Numerical approach to unbiased and driven generalized elastic model by Ghasemi Nezhadhaghighi, M, Chechkin, A, Metzler, R

“…From scaling arguments and numerical simulations, we investigate the properties of the generalized elastic model (GEM) that is used to describe various…”
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First passage behaviour of fractional Brownian motion in two-dimensional wedge domains by Jeon, J.-H, Chechkin, A. V, Metzler, R

“…We study the survival probability and the corresponding first passage time density of fractional Brownian motion (FBM) confined to a two-dimensional open wedge…”
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Fractional Fokker-Planck equation for ultraslow kinetics by Chechkin, A. V, Klafter, J, Sokolov, I. M

“…Several classes of physical systems exhibit ultraslow diffusion for which the mean-squared displacement at long times grows as a power of the logarithm of time…”
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Barrier crossing of a Lévy flight by Chechkin, A. V, Gonchar, V. Yu, Klafter, J, Metzler, R

“…We consider the barrier crossing in a bistable potential for a random-walk process that is driven by Lévy noise of stable index α. It is shown that the…”
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New measurement of the neutron lifetime with a large gravitational trap by Serebrov, A. P., Kolomenskiy, E. A., Fomin, A. K., Krasnoschekova, I. A., Vassiljev, A. V., Prudnikov, D. M., Shoka, I. V., Chechkin, A. V., Chaikovskii, M. E., Varlamov, V. E., Ivanov, S. N., Pirozhkov, A. N., Geltenbort, P., Zimmer, O., Jenke, T., Van der Grinten, M., Tucker, M.

“…The lifetime of the neutron is one of the key physical quantities used to determine the weak interaction parameters and to test predictions of the theory of…”
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Fractional diffusion equation for a power-law-truncated Lévy process by Sokolov, I.M, Chechkin, A.V, Klafter, J

“…Truncated Lévy flights are stochastic processes which display a crossover from a heavy-tailed Lévy behavior to a faster decaying probability distribution…”
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Stationary states of non-linear oscillators driven by Lévy noise by Chechkin, A., Gonchar, V., Klafter, J., Metzler, R., Tanatarov, L.

“…We study the probability density function in the stationary state of non-linear oscillators which are subject to Lévy stable noise and confined within…”
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On the fundamental solution of the Fokker–Planck–Kolmogorov equation by Chechkin, A. G., Shamaev, A. S.

“…The Fokker–Planck–Kolmogorov parabolic second-order differential operator is considered, for which its fundamental solution is derived in explicit form. Such…”
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On a complex fundamental solution of the Schrödinger equation by Chechkin, A. G., Shamaev, A. S.

“…A second-order Schrödinger differential operator of parabolic type is considered, for which an explicit form of a fundamental solution is derived. Such…”
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Lévy ratchet in a weak noise limit: Theory and simulation by Pavlyukevich, I., Dybiec, B., Chechkin, A.V., Sokolov, I.M.

“… We study the motion of a particle in a time-independent periodic potential with broken mirror symmetry under action of a Lévy-stable noise (Lévy ratchet). We…”
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Random Homogenization in a Domain with Light Concentrated Masses by Chechkin, Gregory A., Chechkina, Tatiana P.

“…In the paper, we consider an elliptic problem in a domain with singular stochastic perturbation of the density located near the boundary, depending on a small…”
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Experimental Setup for Neutron Lifetime Measurements with a Large Gravitational Trap at Low Temperatures by Serebrov, A. P., Kolomenskii, E. A., Fomin, A. K., Koptyukhov, A. O., Krasnoshchekova, I. A., Vasil’ev, A. V., Prudnikov, D. M., Shoka, I. V., Chechkin, A. V., Chaikovskii, M. E., Varlamov, V. E., Ivanov, S. N., Pirozhkov, A. N., Geltenbort, P., Zimmer, O., Jenke, T., van der Grinten, M. G. D., Tucker, M. A. H.

“…Currently the most accurate measurements of neutron lifetime are being performed at the Petersburg Nuclear Physics Institute with ultracold neutrons (UCNs)…”
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Understanding anomalous transport in intermittent maps: From continuous-time random walks to fractals by Korabel, N, Chechkin, A. V, Klages, R, Sokolov, I. M, Gonchar, V. Yu

“…We show that the generalized diffusion coefficient of a subdiffusive intermittent map is a fractal function of control parameters. A modified continuous-time…”
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On Higher Integrability of Solutions to the Poisson Equation with Drift in Domains Perforated Along the Boundary by Chechkin, G.A., Chechkina, T.P.

“…In the paper, we consider a linear second order elliptic problem with drift in a domain perforated along the boundary. Setting homogeneous Dirichlet condition…”
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Retarding subdiffusion and accelerating superdiffusion governed by distributed-order fractional diffusion equations by Chechkin, A V, Gorenflo, R, Sokolov, I M

“…We propose diffusionlike equations with time and space fractional derivatives of the distributed order for the kinetic description of anomalous diffusion and…”
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