Search Results - "Fatkullin, Ibrahim"

Limit Shapes for Gibbs Partitions of Sets by Fatkullin, Ibrahim, Xue, Jianfei

“…This study extends a prior investigation of limit shapes for grand canonical Gibbs ensembles of partitions of integers, which was based on analysis of sums of…”
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Limit Shapes for Gibbs Ensembles of Partitions by Fatkullin, Ibrahim, Slastikov, Valeriy

“…We explicitly compute limit shapes for several grand canonical Gibbs ensembles of partitions of integers. These ensembles appear in models of aggregation and…”
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Limit shapes for Gibbs partitions of sets by Fatkullin, Ibrahim, Xue, Jianfei

“…This study extends a prior investigation of limit shapes for partitions of integers, which was based on analysis of sums of geometric random variables. Here we…”
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Limit shapes for Gibbs ensembles of partitions by Fatkullin, Ibrahim, Slastikov, Valeriy

“…We explicitly compute limit shapes for several grand canonical Gibbs ensembles of partitions of integers. These ensembles appear in models of aggregation and…”
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A study of blow-ups in the Keller-Segel model of chemotaxis by Fatkullin, Ibrahim

“…We study the Keller-Segel model of chemotaxis and develop a composite particle-grid numerical method with adaptive time stepping which allows us to accurately…”
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Category competition as a driver of category contrast by Wedel, Andrew, Fatkullin, Ibrahim

“…Abstract Some mental categories map to percepts which are products of human behaviors, such as linguistic signals. Because behavior is learned and updated by…”
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On hydrodynamic limits of Young diagrams by Fatkullin, Ibrahim, Sethuraman, Sunder, Xue, Jianfei

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On spatial variations of nematic ordering by Fatkullin, Ibrahim, Slastikov, Valeriy

“…We present a theory of orientational order in nematic liquid crystals which interpolates between several distinct approaches based on the director field (Oseen…”
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A computational strategy for multiscale systems with applications to Lorenz 96 model by Fatkullin, Ibrahim, Vanden-Eijnden, Eric

“…Numerical schemes for systems with multiple spatio-temporal scales are investigated. The multiscale schemes use asymptotic results for this type of systems…”
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Stochastic Filtering for Diffusion Processes With Level Crossings by Capponi, A., Fatkullin, I., Ling Shi

“…We provide a general framework for computing the state density of a noisy system given the sequence of hitting times of predefined thresholds. Our method…”
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Coalescing particle systems and applications to nonlinear Fokker-Planck equations by Zhelezov, Gleb, Fatkullin, Ibrahim

“…We study a stochastic particle system with a logarithmically-singular inter-particle interaction potential which allows for inelastic particle collisions. We…”
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On Hydrodynamic Limits of Young Diagrams by Fatkullin, Ibrahim, Sethuraman, Sunder, Xue, Jianfei

“…We consider a family of stochastic models of evolving two-dimensional Young diagrams, given in terms of certain energies, with Gibbs invariant measures…”
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Diffusive transport in two-dimensional nematics by Fatkullin, Ibrahim, Slastikov, Valeriy

“…We discuss a dynamical theory for nematic liquid crystals describing the stage of evolution in which the hydrodynamic fluid motion has already equilibrated and…”
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Coarsening in stochastically perturbed Ginzburg-Landau-type equations and statistical studies of the Potts model by Fatkullin, Ibrahim

“…This work is devoted to the statistical description of certain stochastic partial differential equations (PDEs) which exhibit the so-called phase separation…”
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Coarsening in stochastically perturbed Ginzburg -Landau -type equations and statistical studies of the Potts model by Fatkullin, Ibrahim

“…This work is devoted to the statistical description of certain stochastic partial differential equations (PDEs) which exhibit the so-called phase separation…”
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Anomalous relaxation and self-organization in nonequilibrium processes by Fatkullin, I, Kladko, K, Mitkov, I, Bishop, A R

“…We study thermal relaxation in ordered arrays of coupled nonlinear elements with external driving. We find that our model exhibits dynamic self-organization…”
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Anomalous relaxation and self-organization in non-equilibrium processes by Fatkullin, Ibrahim, Kladko, Konstantin, Mitkov, Igor, Bishop, A. R

“…We study thermal relaxation in ordered arrays of coupled nonlinear elements with external driving. We find, that our model exhibits dynamic self-organization…”
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