The continuous time random walk, still trendy: fifty-year history, state of art and outlook

Open Access
Colloquium

DOI: 10.1140/epjb/e2016-70578-3

Cite this article as:
Kutner, R. & Masoliver, J. Eur. Phys. J. B (2017) 90: 50. doi:10.1140/epjb/e2016-70578-3
Part of the following topical collections:
  1. Topical issue: Continuous Time Random Walk still trendy: Fifty-year history, current state, and outlook

Abstract

In this article we demonstrate the very inspiring role of the continuous-time random walk (CTRW) formalism, the numerous modifications permitted by its flexibility, its various applications, and the promising perspectives in the various fields of knowledge. A short review of significant achievements and possibilities is given. However, this review is still far from completeness. We focused on a pivotal role of CTRWs mainly in anomalous stochastic processes discovered in physics and beyond. This article plays the role of an extended announcement of the Eur. Phys. J. B Special Issue [http://epjb.epj.org/open-calls-for-papers/123-epj-b/1090-ctrw-50-years-on] containing articles which show incredible possibilities of the CTRWs.

Copyright information

© The Author(s) 2017

Open Access This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Authors and Affiliations

  1. 1.Faculty of Physics, University of WarsawWarsawPoland
  2. 2.Departament de Fisica Matèria Condensada and Institute of Complex Systems, Universitat de BarcelonaBarcelonaSpain

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