About: L/'evy noise-driven escape from arctan potential wells

Facets (new session)
Description
Metadata
Settings
- owl:sameAs
- Inference Rule:

About: L/'evy noise-driven escape from arctan potential wells Goto Sponge NotDistinct Permalink

An Entity of Type : schema:ScholarlyArticle, within Data Space : wasabi.inria.fr associated with source document(s)

Attributes	Values
type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
title	L/'evy noise-driven escape from arctan potential wells
Creator	Capała, Karol Chechkin, Aleksei Dybiec, Bartłomiej Metzler, Ralf Padash, Amin Shokri, Babak
source	ArXiv
abstract	The escape from a potential well is an archetypal problem in the study of stochastic dynamical systems, representing real-world situations from chemical reactions to leaving an established home range in movement ecology. Concurrently, L{/'e}vy noise is a well-established approach to model systems characterized by statistical outliers and diverging higher-order moments, ranging from gene expression control to the movement patterns of animals and humans. Here, we study the problem of L/'evy noise-driven escape from an almost rectangular, arctan potential well restricted by two absorbing boundaries. We unveil analogies of the observed transient dynamics to the general properties of stationary states of L{/'e}vy processes in single-well potentials. The first escape dynamics is shown to exhibit exponential tails. We examine the dependence of the escape on the shape parameters, steepness and height, of the arctan potential. Finally, we explore in detail the behavior of the probability densities of the first-escape time and the last-hitting point.
has issue date	2020-07-11(xsd:dateTime)
has license	arxiv
sha1sum (hex)	ef69b15eb09453f826f62d7c05751e9cda0ceb38
resource representing a document's title	L/'evy noise-driven escape from arctan potential wells
resource representing a document's body	covid:ef69b15eb09453f826f62d7c05751e9cda0ceb38#body_text
is schema:about of	named entity 'Lévy processes' named entity 'explore' named entity 'statistical' named entity 'representing' named entity 'CHARACTERIZED' named entity 'RESTRICTED' named entity 'TAILS' named entity 'HEIGHT' named entity 'LEAVING' named entity 'PARAMETERS' named entity 'DENSITIES' named entity 'POTENTIAL' named entity 'DYNAMICS' named entity 'humans' named entity 'expression' named entity 'point' named entity 'detail' named entity 'potentials' named entity 'cond' named entity 'arctan' named entity 'stochastic dynamical systems' named entity 'gene expression' named entity 'last-hitting' named entity 'white noise' named entity 'probability density' named entity 'Gaussian noise' named entity 'time evolution' named entity 'non-equilibrium' named entity 'stationary states' named entity 'unimodality' named entity 'bimodal' named entity 'Gibbs' named entity 'optical media' named entity 'colloidal particles' named entity 'bimodal' named entity 'local maxima' named entity 'equilibrium' named entity 'narrow peak' named entity 'unimodal' named entity 'unimodal' named entity 'stochastic resonance' named entity '0.5' named entity 'heavy-tailed distributions' named entity 'Gaussian' named entity 'transition rates' named entity 'deterministic' named entity 'gene expression' named entity 'tail of the distribution' named entity 'unimodal' named entity 'Cauchy' named entity 'unimodal' named entity 'numerical solutions' named entity 'discretized' named entity 'Lévy' named entity 'test particle' named entity 'heat transport' named entity '0.5' named entity 'deterministic' named entity 'unimodal' named entity 'potential barrier' named entity 'probability densities' named entity '1.14' named entity '0.5' named entity 'plasmas' named entity 'bimodal' named entity 'bimodal' named entity '0.5' named entity 'potential barrier' named entity 'chemical reactions' named entity 'random variables' named entity 'unimodal' named entity 'rapid growth' named entity 'simulated annealing' named entity 'unimodal' named entity 'Langevin' named entity 'Smoluchowski' named entity 'deterministic' named entity 'probability density' named entity '0.5' named entity 'stationary states' named entity 'Lévy' named entity 'diffusion'

Faceted Search & Find service v1.13.91 as of Mar 24 2020

Alternative Linked Data Documents: Sponger | ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 07.20.3229 as of Jul 10 2020, on Linux (x86_64-pc-linux-gnu), Single-Server Edition (94 GB total memory)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2025 OpenLink Software