activity
20002024
most citedAverage Time Spent by Levy Flights and Walks on an Interval with Absorbing Boundaries

144 citations · 392 across the 7 of their papers we have counts for

collaborators

5 papers

cond-mat.stat-mech2024

Relativistic Lévy processes

Lucas G. B. de Souza, M. G. E. da Luz, E. P. Raposo +2

We study sums of independent and identically distributed random velocities in special relativity. We show that the resulting one-dimensional velocity distributions are not only sta…

cond-mat.stat-mech2021★ 27 cited

Comment on "Inverse Square Lévy Walks are not Optimal Search Strategies for d 2" [Phys. Rev. Lett. 124, 080601 (2020)]

S. V. Buldyrev, E. P. Raposo, F. Bartumeus +4

It is widely accepted that inverse square Lévy walks are optimal search strategies because they maximize the encounter rate with sparse, randomly distributed, replenishable targets…

cond-mat.stat-mech2014★ 8 cited

Activity, diffusion, and correlations in a two-dimensional conserved stochastic sandpile

Sharon Dantas da Cunha, Luciano Rodrigues da Silva, Gandhimohan M. Viswanathan +1

We perform large-scale simulations of a two-dimensional restricted-height conserved stochastic sandpile, focusing on particle diffusion and mobility, and spatial correlations. Quas…

cond-mat.dis-nn2003★ 71 cited

Variance fluctuations in nonstationary time series: a comparative study of music genres

Heather D. Jennings, Plamen Ch. Ivanov, A. M. Martins +2

An important problem in physics concerns the analysis of audio time series generated by transduced acoustic phenomena. Here, we develop a new method to quantify the scaling propert…

cond-mat.soft2000★ 144 cited

Average Time Spent by Levy Flights and Walks on an Interval with Absorbing Boundaries

S. V. Buldyrev, S. Havlin, A. Ya. Kazakov +4

We consider a Levy flyer of order alpha that starts from a point x0 on an interval [O,L] with absorbing boundaries. We find a closed-form expression for the average number of fligh…