Continuous-time random walks and Lévy walks with stochastic resetting
Tian Zhou, Pengbo Xu, Weihua Deng
Abstract
This paper shows that the stochastic resetting always makes the continuous time random walk process localized, when the waiting time density is exponential or power-law, and the L\'evy walk shows a slower diffusion. The authors further analyze the consequences of stochastic resetting in the Levy walk density functions
Topics & Concepts
Random walkStochastic processMathematicsFirst-hitting-time modelExponential functionLévy processHeterogeneous random walk in one dimensionStatistical physicsLévy flightProbability density functionLoop-erased random walkSelf-avoiding walkProcess (computing)Markov processStochastic modellingExponential distributionLocal timeContinuous-time stochastic processComputer scienceLarge deviations theoryRenewal theoryStable processDiffusion and Search Dynamicsstochastic dynamics and bifurcationMolecular Communication and Nanonetworks