On the distribution of estimators of diffusion constants for Brownian motion

Journal of Physics A: Mathematical and Theoretical

Volumn 44, Issue 33, 2011, Pages

  Boyer, Denis ^a   Dean, David S ^b  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

^b CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80051515461     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/44/33/335003     Document Type: Article

References (31)

1. Saxton M J and Jacobson K 1997 Annu. Rev. Biophys. Biomol. Struct. 26 373-99
2. Pederson T 2000 Nature Cell Biol. 2 E73-74
3. Dix J A and Verkman A S 2008 Annu. Rev. Biophys. 37 247-63
4. Golding I and Cox E C 2006 Phys. Rev. Lett. 96 098102
5. Saxton M J 1997 Biophys. J. 72 1744-53
6. Goulian M and Simon S M 2000 Biophys. J. 79 2188-98
7. Rebenshtok A and Barkai E 2007 Phys. Rev. Lett. 99 210601
8. He Y, Burov S, Metzler R and Barkai E 2008 Phys. Rev. Lett. 101 058101
9. Lubelski A, Sokolov I M and Klafter J 2008 Phys. Rev. Lett. 100 250602
10. Cameron R H and Martin W T 1945 Bull. Am. Math. Soc. 51 73-90
11. Borodin A N 1984 J. Math. Sci. 27 3005-22
12. Donati-Martin C and Yor M 1993 Adv. Appl. Probab. 25 570-84
13. Chan T, Dean D S, Jansons K M and Rogers L C G 1994 Commun. Math. Phys. 160 239-57
14. Revuz D and Yor M 1999 Continuous Martingales and Brownian Motion (Berlin: Springer)
15. Shi Z 1999 Lower tails of quadratic functionals of symmetric stable processes Université Paris 6 Preprint
16. Feynman R P and Hibbs A R 1965 Quantum Mechanics and Path Integrals (New York: McGraw-Hill)
17. Kleinert H 2006 Path Integrals in Quantum Mechanics, Statistics, Polymer Physics and Financial Markets (Singapore: World Scientific)
18. Khandekar D C and Lawande S V 1986 Phys. Rep. 137 115-229
19. Dean D S and Jansons K M 1995 J. Stat. Phys. 79 265-97
20. Dean D S and Horgan R R 2005 J. Phys.: Condens. Matter 17 3473-97
21. Parsegian V A 2006 Van der Waals Forces (Cambridge: Cambridge University Press)
22. Dean D S and Horgan R R 2007 Phys. Rev. E 76 041102
23. Dean D S, Horgan R R, Naji A and Podgornik R 2009 Phys. Rev. A 79 040101
24. Dean D S, Horgan R R, Naji A and Podgornik R 2010 Phys. Rev. E 81 051117
25. Attard P, Mitchell J and Ninham B W 1998 J. Chem. Phys. 88 4987-96
26. Podgornik R and Zeks T 1998 J. Chem. Soc. Faraday Trans. 2 84 611-31
27. Podgornik R 1990 J. Phys. A: Math. Gen. 23 275-84
28. Dean D S, Horgan R R, Naji A and Podgornik R 2009 J. Chem. Phys. 130 094504
29. Majumdar S N 2005 Curr. Sci. 89 2076-92
30. Abramowitz M and Stegun I R 1972 Handbook of Mathematical Functions (New York: Dover)
31. Tejedor V, Bénichcou O, Voituriez R, Jungmann R, Simmel F, Selhuber-Unkel C, Oddershede L B and Metzler R 2010 Biophys. J. 98 1364-72