Non-uniqueness of the first passage time density of Lévy random processes

Journal of Physics A: Mathematical and General

Volumn 37, Issue 46, 2004, Pages

  Sokolov, Igor M ^a   Metzler, Ralf ^b  

^a HUMBOLDT UNIVERSITY   (Germany)

^b NORDITA   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 9944235714     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/46/L02     Document Type: Article

References (30)

1. Feller W 1968 An Introduction to Probability Theory and Its Applications (New York: Wiley)
2. van Kampen N 1981 Stochastic Processes in Physics and Chemistry (Amsterdam: North-Holland)
3. Hughes B D 1995 Random Walks and Random Environments, Volume 1: Random Walks (Oxford: Oxford University Press)
4. Redner S 2001 A Guide to First-Passage Processes (Cambridge: Cambridge University Press)
5. Carslaw H S and Jaeger J C 1948 Conduction of Heat in Solids (Oxford: Clarendon)
6. Klafter J, Blumen A and Shlesinger M F 1987 Phys. Rev. A 35 3081
7. Sparre Andersen E 1953 Math. Scand. 1 263 Sparre Andersen E 1954 Math. Scand. 2 195
8. Sparre Andersen E 1953 Math. Scand. 1 263 Sparre Andersen E 1954 Math. Scand. 2 195
9. Chechkin A V, Metzler R, Klafter J, Gonchar V and Tanatarov L V 2003 J. Phys. A: Math. Gen. 36 L537
10. Bouchaud J P and Georges A 1990 Phys. Rep. 195 127
11. Shlesinger M F, Zaslavsky G F and Klafter J 1993 Nature 363 31
12. Metzler R and Klafter J 2000 Phys. Rep. 339 1
13. Sokolov I M, Klafter J and Blumen A 2002 Phys. Today 55 48
14. Zaslavsky G M 2002 Phys. Rep. 371 461
15. Chechkin A V, Gonchar V Y and Szydlowsky M 2002 Phys. Plasma 9 78
16. Katori H, Schlipf S and Walther H 1997 Phys. Rev. Lett. 79 2221
17. West B J, Grigolini P, Metzler R and Nonnenmacher T F 1997 Phys. Rev. E 55 99
18. Fogedby H C 1994 Phys. Rev. Lett. 73 2517 Jespersen S, Metzler R and Fogedby H C 1999 Phys. Rev. E 59 2736
19. Fogedby H C 1994 Phys. Rev. Lett. 73 2517 Jespersen S, Metzler R and Fogedby H C 1999 Phys. Rev. E 59 2736
20. Chechkin A V, Gonchar Yu V, Klafter J, Metzler R and Tanatarov L V 2004 J. Stat. Phys. 115 1505
21. Lévy P 1954 Théorie de L'addition des Variables Aléatoires (Paris: Gauthier-Villars) Gnedenko B V and Kolmogorov A N 1954 Limit Distributions for Sums of Random Variables (Reading, MA: Addison-Wesley)
22. Lévy P 1954 Théorie de L'addition des Variables Aléatoires (Paris: Gauthier-Villars) Gnedenko B V and Kolmogorov A N 1954 Limit Distributions for Sums of Random Variables (Reading, MA: Addison-Wesley)
23. Lévy P 1965 Processus Stochastiques et Mouvement Brownien (Paris: Gauthier-Villars)
24. Metzler R and Nonnenmacher T F 2002 Chem. Phys. 284 67
25. Samko S G, Kilbas A A and Marichev O I 1993 Fractional Integrals and Derivatives, Theory and Applications (New York: Gordon and Breach)
26. Sokolov I M 2001 Phys. Rev. E 63 011104
27. Brockmann D and Sokolov I M 2002 Chem. Phys. 284 409
28. Sokolov I M, Klafter J and Blumen A 2001 Phys. Rev. E 64 021107
29. Srivastava H M, Gupta K C and Goyal S P 1982 The H-Functions of One and Two Variables with Applications (New Delhi: South Asian Publishers)
30. Glöckle W G and Nonnenmacher T F 1993 J. Stat. Phys. 71 755