Conditions under which a superdiffusive random-search strategy is necessary.

No abstract is available for this paper.

• Publication year

  2012

• Venue

  Physical review. E, Statistical, nonlinear, and soft matter physics

• Publication date

  2012-09-24

• Fields of study

  Mathematics, Physics, Medicine

• Identifiers
  DOI 10.1103/PHYSREVE.86.031133PMID 23030892
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• The universality class of random searches in critically scarce environments

  2012cited by this paper
• High activity and Lévy searches: jellyfish can search the water column like fish

  2012cited by this paper
• The influence of the environment on Lévy random search efficiency: Fractality and memory effects

  2012cited by this paper
• Synergy in spreading processes: from exploitative to explorative foraging strategies.

  2011cited by this paper
• How Landscape Heterogeneity Frames Optimal Diffusivity in Searching Processes

  2011cited by this paper
• Intermittent search strategies

  2011cited by this paper
• Balancing organization and flexibility in foraging dynamics.

  2010cited by this paper
• Modelling the mobility of living organisms in heterogeneous landscapes: does memory improve foraging success?

  2010cited by this paper
• Environmental context explains Lévy and Brownian movement patterns of marine predators

  2010cited by this paper
• And did he search for you, and could not find you?

  2009cited by this paper
• Facilitated diffusion with DNA coiling

  2009cited by this paper
• Optimising the success of random destructive searches: Lévy walks can outperform ballistic motions.

  2009cited by this paper
• Tailored graph ensembles as proxies or null models for real networks I: tools for quantifying structure

  2009cited by this paper
• Can collective searches profit from Lévy walk strategies?

  2009cited by this paper
• Memory keeps you at home: a mechanistic model for home range emergence

  2009cited by this paper
• Scaling laws of marine predator search behaviour

  2008cited by this paper
• First-order dynamical phase transition in models of glasses: an approach based on ensembles of histories

  2008cited by this paper
• Superdiffusion and encounter rates in diluted, low dimensional worlds

  2008cited by this paper
• Optimal foraging: Lévy pattern or process?

  2008cited by this paper
• Understanding individual human mobility patterns

  2008cited by this paper
• Lévy strategies in intermittent search processes are advantageous

  2008cited by this paper
• How DNA coiling enhances target localization by proteins

  2008cited by this paper
• Origin of power-law distributions in deterministic walks: the influence of landscape geometry.

  2007cited by this paper
• Mathematical physics: Search research

  2006cited by this paper
• The scaling laws of human travel

  2006cited by this paper
• Movement of foraging Tundra Swans explained by spatial pattern in cryptic food densities.

  2006cited by this paper
• On the intermittent behaviour of foraging animals

  2006cited by this paper
• Phase transition in a healthy human heart rate.

  2005cited by this paper
• Optimal random searches of revisitable targets: Crossover from superdiffusive to ballistic random walks

  2004cited by this paper
• Dynamical robustness of Lévy search strategies.

  2003cited by this paper
• Properties of Lévy flights on an interval with absorbing boundaries

  2001cited by this paper
• Average time spent by Lévy flights and walks on an interval with absorbing boundaries.

  2000cited by this paper
• Optimizing the success of random searches

  1999cited by this paper
• Optimal Foraging, Specialization, and a Solution to Liem's Paradox

  1998cited by this paper
• Stochastic process with ultraslow convergence to a Gaussian: The truncated Lévy flight.

  1994cited by this paper
• Generic modelling of cooperative growth patterns in bacterial colonies

  1994cited by this paper

• Langevin dynamics for subdiffusion with senescence effects.

  2025cites this paper
• Comment on "Inverse Square Lévy Walks are not Optimal Search Strategies for d≥2".

  2021cites this paper
• Transient dynamics in a nonequilibrium superdiffusive reaction-diffusion process: Nonequilibrium random search as a case study.

  2020cites this paper
• The evolutionary origins of Lévy walk foraging

  2017cites this paper
• Análise de caminhadas de Lévy em trajetórias curvas 2D

  2016cites this paper
• Understanding movements of organisms: it's time to abandon the Lévy foraging hypothesis

  2015cites this paper
• And yet it optimizes: Comment on "Liberating Lévy walk research from the shackles of optimal foraging" by A.M. Reynolds.

  2015cites this paper
• Robustness of optimal random searches in fragmented environments.

  2015cites this paper
• Efficient search of multiple types of targets.

  2015cites this paper
• Dissipative Lévy random searches: universal behavior at low target density.

  2012cites this paper