output
19932026
most citedHeat-kernel coefficients of the Laplace operator on the D-dimensional ball

224 citations

56 papers

cond-mat.stat-mech2026★ 4 cited

Lévy walkers inside spherical shells with absorbing boundaries: Towards settling the optimal Lévy walk strategy for random searches

L. G. P. Caramês, Y. B. Matos, F. Bartumeus +5

The Lévy flight foraging hypothesis states that organisms must have evolved adaptations to exploit Lévy walk search strategies. Indeed, it is widely accepted that inverse square Lé…

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…

q-bio.PE2016

A signal of competitive dominance in mid-latitude herbaceous plant communities

Jose A. Capitan, Sara Cuenda, Alejandro Ordoñez +1

Understanding the main determinants of species coexistence across space and time is a central question in ecology. However, ecologists still know little about the scales and condit…

physics.soc-ph2015★ 5 cited

Active and reactive behaviour in human mobility: the influence of attraction points on pedestrians

Mario Gutiérrez-Roig, Oleguer Sagarra, Aitana Oltra +4

Human mobility is becoming an accessible field of study thanks to the progress and availability of tracking technologies as a common feature of smart phones. We describe an example…

cond-mat.stat-mech2015★ 13 cited

First-passage times in multi-scale random walks: the impact of movement scales on search efficiency

Daniel Campos, Frederic Bartumeus, E. P. Raposo +1

An efficient searcher needs to balance properly the tradeoff between the exploration of new spatial areas and the exploitation of nearby resources, an idea which is at the core of…

q-bio.QM2015★ 179 cited

Expectation-Maximization Binary Clustering for Behavioural Annotation

Joan Garriga, John R. Palmer, Aitana Oltra +1

We present a variant of the well sounded Expectation-Maximization Clustering algorithm that is constrained to generate partitions of the input space into high and low values. The m…