Residual mean first-passage time for jump processes: Theory and applications to Lévy flights and fractional Brownian motion

Journal of Physics A: Mathematical and Theoretical

Volumn 44, Issue 25, 2011, Pages

  Tejedor, V ^a,b   Benichou O ^a   Metzler, Ralf ^b,c   Voituriez, R ^a  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^b TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^c TAMPERE UNIVERSITY OF TECHNOLOGY   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79957813554     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/44/25/255003     Document Type: Article

References (29)

1. Hughes B 1995 Random Walks and Random Environments (New York: Oxford University Press)
2. Redner S 2001 A Guide to First-Passage Processes (Cambridge: Cambridge University Press)
3. Rice S A 1985 Diffusion-Limited Reactions vol 25(Amsterdam: Elsevier)
4. Hänggi P, Talkner P and Borkovec M 1990 Rev. Mod. Phys. 62 251-341
5. Bénichou O, Loverdo C, Moreau M and Voituriez R 2008 Phys. Chem. Chem. Phys. 10 7059
6. Lloyd A L and May R M 2001 Science 292 1316
7. Benichou O, Coppey M, Moreau M, Suet P-H and Voituriez R 2005 Phys. Rev. Lett. 94 198101
8. Benichou O, Loverdo C, Moreau M and Voituriez R 2006 Phys. Rev. E 74 020102
9. Shlesinger M F 2006 Nature 443 281
10. Lomholt M A, Tal K, Metzler R and Joseph K 2008 Proc. Natl Acad. Sci. 105 11055
11. Condamin S et al 2007 Nature 450 77
12. Benichou O, Meyer B, Tejedor V and Voituriez R 2008 Phys. Rev. Lett. 101 130601
13. Benichou O and Voituriez R 2008 Phys. Rev. Lett. 100 168105
14. Tejedor V, Bénichou O and Voituriez R 2009 Phys. Rev. E 80 065104
15. Bénichou O, Chevalier C, Klafter J, Meyer B and Voituriez R 2010 Nat. Chem. 2 472
16. Ben-Avraham D and Havlin S 2000 Diffusion and Reactions in Fractals and Disordered Systems (Cambridge: Cambridge University Press)
17. Bouchaud J-P and Georges A 1990 Phys. Rep. 195 127
18. Metzler R and Klafter J 2000 Phys. Rep. 339 1
19. Metzler R and Klafter J 2004 J. Phys. A: Math. Gen. 37 R161
20. Chechkin A V, Metzler R, Gonchar V Y, Klafter J and Tanatarov L V 2003 J. Phys. A: Math. Gen. 36 L537
21. Eliazar I and Klafter J 2003 Physica A 330 8
22. Koren T, Lomholt M A, Chechkin A V, Klafter J and Metzler R 2007 Phys. Rev. Lett. 99 160602
23. Pólya G 1920 Mathematische Zeitschrift 8 171
24. Gnedenko B V and Kolmogorov A N 1954 Limit Distributions for Sums of Independent Random Variables (Reading, MA: Addison-Wesley)
25. Montroll E W and Weiss G H 1965 J. Math. Phys. 6 167
26. Chevalier C, Benichou O, Meyer B and Voituriez R 2011 J. Phys. A: Math. Theor. 44 025002
27. Condamin S, Benichou O and Moreau M 2007 Phys. Rev. E 75 021111
28. Mandelbrot B B and Ness J W V 1968 SIAM Rev. 10 422
29. Sliusarenko O Y, Gonchar V Y, Chechkin A V, Sokolov I M and Metzler R 2010 Phys. Rev. E 81 041119