δ-Exceedance records and random adaptive walks

Journal of Physics A: Mathematical and Theoretical

Volumn 49, Issue 31, 2016, Pages

  Park, Su Chan ^a   Krug, Joachim ^b  

^a The Catholic University of Korea   (South Korea)

^b UNIVERSITY OF COLOGNE   (Germany)

Author keywords

epistasis; evolutionary dynamics; extreme value theory; fitness landscape; record process

Indexed keywords

EID: 84978301574     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/49/31/315601     Document Type: Article

References (35)

1. Glick N 1978 Am. Math. Mon. 85 2-6
2. Arnold B, Balakrishnan N and Nagaraja H 1998 Records (New York: Wiley)
3. Wergen G 2013 J. Phys. A: Math. Theor. 46 223001
4. Edery Y, Kostinski A B, Majumdar S N and Berkowitz B 2013 Phys. Rev. Lett. 110 180602
5. Gouet R, López F J and Sanz G 2007 Bernoulli 13 754-81
6. Gouet R, López F J and Sanz G 2012 Test 21 188-214
7. Balakrishnan N, Pakes A and Stepanov A 2005 Adv. Appl. Probab. 37 765-80
8. Vervaat J 1973 Stoch. Process. Appl. 1 317-34
9. Gouet R, López F J and Sanz G 2005 Adv. Appl. Probab. 37 781-800
10. Wergen G, Volovik D, Redner S and Krug J 2012 Phys. Rev. Lett. 109 164102
11. Ballerini R and Resnick S I 1987 Adv. Appl. Probab. 19 801
12. Franke J, Wergen G and Krug J 2010 J. Stat. Mech. P10013
13. Balakrishnan N, Balasubramanian K and Panchapakesan S 1996 J. Appl. Stat. Sci. 4 123-32
14. Park S C, Szendro I G, Neidhart J and Krug J 2015 Phys. Rev. E 91 042707
15. Kauffman S and Levin S 1987 J. Theor. Biol. 128 11-45
16. Macken C A and Perelson A S 1989 Proc. Natl Acad. Sci. USA 86 6191-5
17. Flyvbjerg H and Lautrup B 1992 Phys. Rev. A 46 6714-23
18. Orr H A 2002 Evolution 56 1317-30
19. Neidhart J and Krug J 2011 Phys. Rev. Lett. 107 178102
20. Seetharaman S and Jain K 2014 Phys. Rev. E 90 032703
21. Neidhart J, Szendro I G and Krug J 2014 Genetics 198 699-721
22. de Visser J A G M, Cooper T F and Elena S F 2011 Proc. R. Soc. B 278 3617-24
23. Chou H H, Chiu H C, Delaney N F, Segrè D and Marx C J 2011 Science 332 1190-2
24. Khan A I, Dinh D M, Schneider D, Lenski R E and Cooper T F 2011 Science 332 1193-6
25. Wiser M J, Ribeck N and Lenski R E 2013 Science 342 1364-7
26. Berger D and Postma E 2014 Genetics 198 1417-20
27. Couce A and Tenaillon O 2015 Frontiers Genet. 6 99
28. Wiehe T 1997 Genet. Res. Camb. 69 127-36
29. de Haan L and Ferreira A 2006 Extreme Value Theory (Berlin: Springer)
30. Kassen R and Bataillon T 2006 Nat. Genet. 38 484-8
31. Rokyta D, Beisel C, Joyce P, Ferris M, Burch C and Wichman H 2008 J. Mol. Evol. 67 368-76
32. Schenk M, Szendro I, Krug J and de Visser J 2012 PLoS Genet. 8 e1002783
33. Bank C, Hietpas R, Wong A, Bolon D and Jensen J 2014 Genetics 196 841-52
34. Wergen G, Franke J and Krug J 2011 J. Stat. Phys. 144 1206-22
35. Franke J, Wergen G and Krug J 2012 Phys. Rev. Lett. 108 064101