Introduction to the Theory of Lévy Flights

Chapter 5 Introduction to the Theory of Lévy Flights Alexei V. Chechkin, Alexei V. Chechkin achechkin@kipt.kharkov.ua Institute for Theoretical Physics, NSC KIPT, Akademicheskaya St. 1, 61108 Kharkov, UkraineSearch for more papers by this authorRalf Metzler, Ralf Metzler metz@ph.tum.de Technical University of Munich, Theoretische Physik T30g, Physics Department, James Franck Straße, 85747 Garching, GermanySearch for more papers by this authorJoseph Klafter, Joseph Klafter klafter@post.tau.ac.il Tel Aviv University, School of Chemistry, 69978 Tel Aviv, IsraelSearch for more papers by this authorVsevolod Yu. Gonchar, Vsevolod Yu. Gonchar Institute for Theoretical Physics, NSC KIPT, Akademicheskaya St. 1, 61108 Kharkov, UkraineSearch for more papers by this author Alexei V. Chechkin, Alexei V. Chechkin achechkin@kipt.kharkov.ua Institute for Theoretical Physics, NSC KIPT, Akademicheskaya St. 1, 61108 Kharkov, UkraineSearch for more papers by this authorRalf Metzler, Ralf Metzler metz@ph.tum.de Technical University of Munich, Theoretische Physik T30g, Physics Department, James Franck Straße, 85747 Garching, GermanySearch for more papers by this authorJoseph Klafter, Joseph Klafter klafter@post.tau.ac.il Tel Aviv University, School of Chemistry, 69978 Tel Aviv, IsraelSearch for more papers by this authorVsevolod Yu. Gonchar, Vsevolod Yu. Gonchar Institute for Theoretical Physics, NSC KIPT, Akademicheskaya St. 1, 61108 Kharkov, UkraineSearch for more papers by this author Book Editor(s):Dr. habil. Rainer Klages, Dr. habil. Rainer Klages Queen Mary, University of London, School of Mathematical Sciences, Mile End Road, London E1 4NS London, United KingdomSearch for more papers by this authorProf. Dr. Günter Radons, Prof. Dr. Günter Radons Chemnitz University of Technology, Institute of Physics, 09107 Chemnitz, GermanySearch for more papers by this authorProf. Dr. Igor M. Sokolov, Prof. Dr. Igor M. Sokolov Humboldt Universität zu Berlin, Institute of Physics, Newtonstr. 15, 12489 Berlin, GermanySearch for more papers by this author First published: 23 July 2008 https://doi.org/10.1002/9783527622979.ch5Citations: 36 AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat Summary This chapter contains sections titled: Lévy Stable Distributions Underlying Random Walk Processes Space Fractional Fokker–Planck Equation Free Lévy Flights in the Semi-Infinite Domain Lévy Flights in External Fields Lévy Flights in Phase Space Power-Law Truncated Lévy Flights Summary References Citing Literature Anomalous Transport: Foundations and Applications RelatedInformation