The continuous time random walk, still trendy: fifty-year history, state of art and outlook*
1 Faculty of Physics, University of Warsaw, Pasteur Str. 5, 02093 Warsaw, Poland
2 Departament de Fisica Matèria Condensada and Institute of Complex Systems, Universitat de Barcelona, Marti i Franques 1, 08028 Barcelona, Spain
Received: 29 September 2016
Received in final form: 13 October 2016
Published online: 22 March 2017
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.
© The Author(s) 2017. This article is published with open access at Springerlink.com
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.