%0 Generic %1 zaburdaev2014walks %A Zaburdaev, V. %A Denisov, S. %A Klafter, J. %D 2014 %K Levy review walks %T Lévy walks %U http://arxiv.org/abs/1410.5100 %X Random walk is a fundamental concept with applications ranging from quantum physics to econometrics. Remarkably, one specific model of random walks appears to be ubiquitous across many research fields as a tool to analyze non-Brownian dynamics exhibited by different systems. The Lévy walk model combines two key features: a finite velocity of a random walker and the ability to generate anomalously fast diffusion. Recent results in optics, Hamiltonian many-particle chaos, cold atom dynamics, bio-physics, and behavioral science, demonstrate that this particular type of random walks provides significant insight into complex transport phenomena. This review provides a self-consistent introduction into the theory of Lévy walks, surveys its existing applications, including latest advances, and outlines its further perspectives.

@misc{zaburdaev2014walks, abstract = {Random walk is a fundamental concept with applications ranging from quantum physics to econometrics. Remarkably, one specific model of random walks appears to be ubiquitous across many research fields as a tool to analyze non-Brownian dynamics exhibited by different systems. The L\'evy walk model combines two key features: a finite velocity of a random walker and the ability to generate anomalously fast diffusion. Recent results in optics, Hamiltonian many-particle chaos, cold atom dynamics, bio-physics, and behavioral science, demonstrate that this particular type of random walks provides significant insight into complex transport phenomena. This review provides a self-consistent introduction into the theory of L\'evy walks, surveys its existing applications, including latest advances, and outlines its further perspectives.}, added-at = {2014-10-21T12:23:51.000+0200}, author = {Zaburdaev, V. and Denisov, S. and Klafter, J.}, biburl = {https://www.bibsonomy.org/bibtex/21bf97827b9127f056013e04d72b1f0d3/marcogherardi}, description = {L\'evy walks}, interhash = {7b3bdd67bd7198d9eb4b99a9eb07842e}, intrahash = {1bf97827b9127f056013e04d72b1f0d3}, keywords = {Levy review walks}, note = {cite arxiv:1410.5100Comment: 50 pages}, timestamp = {2014-11-01T17:18:44.000+0100}, title = {Lévy walks}, url = {http://arxiv.org/abs/1410.5100}, year = 2014 }