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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/18655

Title: Transition in the decay rates of stationary distributions of Levy motion in an energy landscape
Authors: Kaleta, Kamil
Lorinczi, Jozsef
Issue Date: 2016
Publisher: © American Physical Society
Citation: KALETA, K. and LORINCZI, J., 2016. Transition in the decay rates of stationary distributions of Lévy motion in an energy landscape. Physical Review E, 93, 022135.
Abstract: The time evolution of random variables with Lévy statistics has the ability to develop jumps, displaying very different behaviors from continuously fluctuating cases. Such patterns appear in an ever broadening range of examples including random lasers, non-Gaussian kinetics, or foraging strategies. The penalizing or reinforcing effect of the environment, however, has been little explored so far. We report a new phenomenon which manifests as a qualitative transition in the spatial decay behavior of the stationary measure of a jump process under an external potential, occurring on a combined change in the characteristics of the process and the lowest eigenvalue resulting from the effect of the potential. This also provides insight into the fundamental question of what is the mechanism of the spatial decay of a ground state.
Description: This article was published in Physical Review E [© American Physical Society] and the definitive version is available at: http://dx.doi.org/10.1103/PhysRevE.93.022135
Version: Accepted for publication
URI: https://dspace.lboro.ac.uk/2134/18655
Publisher Link: http://dx.doi.org/10.1103/PhysRevE.93.022135
Appears in Collections:Published Articles (Maths)

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