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We use the Real Space Renormalization Group (RSRG) method to study extreme value statistics for a variety of Brownian motions, free or constrained such as the Brownian bridge, excursion, meander and reflected bridge, recovering some standard results, and extending others.
P. Lévy, Comp. Math. 7
1939
Earlier work this paper cites.
A.N. Kolmogorov, Giorn. Ist. Ital. Attuari 4
1939
Earlier work this paper cites.
H. Pollard, Bull. Amer. Math. Soc. 52
1946
Earlier work this paper cites.
I.I. Gikhman, Theory Probab. Appl. 2
1957
Earlier work this paper cites.
E.J. Gumbel, Statistics of Extremes
1958
Earlier work this paper cites.
J. Kiefer, Ann. Math. Stat. 30
1959
Earlier work this paper cites.
E.W. Montroll, G.H. Weiss, J. Math. Phys. 6
1965
Earlier work this paper cites.
W.Feller, An introduction to Probability Theory and its Applications
1968
Earlier work this paper cites.
H. Scher, E.W. Montroll, Phys. Rev. B 12
1975
Earlier work this paper cites.
B. Derrida, Phys. Rev. B 24
1981
Earlier work this paper cites.
Ya. G. Sinai, Theory of Prob. and Appl. 27
1982
Earlier work this paper cites.
M. Kardar, G. Parisi, Y.C. Zhang, Phys. Rev. Lett. 56
1986
Earlier work this paper cites.
W.R. Schneider, in Stochastic processes in Classical and Quantum Systems
1986
Earlier work this paper cites.
J. Neveu, J. Pitman, Séminaire de Probabilité XXIII. Lecture Notes in Math
1989
Earlier work this paper cites.
J.P. Bouchaud, A. Georges, Phys. Rep. 195
1990
Earlier work this paper cites.
D. S. Fisher Phys. Rev. B 50
1995
Earlier work this paper cites.
J.P. Bouchaud, M. Mézard, J. Phys. A 30
1997
Cited alongside, same era.
P. Embrecht, C. Klüppelberg, T. Mikosh, Modelling Extremal Events for Insurance and Finance
1997
Cited alongside, same era.
D.S. Fisher, A. P. Young, Phys. Rev. B 58
1998
Cited alongside, same era.
D. Revuz and M.Yor, Continuous Martingales and Brownian Motion
1999
Cited alongside, same era.
J. Pitman, M. Yor, Elec. J. Proba. 4
1999
Cited alongside, same era.
D. S. Fisher, P. Le Doussal, C. Monthus, Phys. Rev. Lett. 80
1999
Cited alongside, same era.
R. Metzler, J. Klafter, Phys. Rep. 339
2000
S. N. Majumdar, A. Comtet, Phys. Rev. Lett. 92
2005
Later among the works it cites.
A. Comtet, S.N. Majumdar, J. Stat. Mech. Theor. Exp., P06013 (2005)
2005
Later among the works it cites.
For a general review see: F. Igloi, C. Monthus, arXiv:cond-mat/0502448, Physics Reports 412
2005
Later among the works it cites.
E. Bertin, M. Clusel, J. Phys. A 39
2006
Later among the works it cites.
S.N. Majumdar, Current Science 89
2006
Later among the works it cites.
G. Schehr, S.N. Majumdar, Phys. Rev. E 73
2006
Later among the works it cites.
S.N. Majumdar, J.P. Bouchaud, Quantitative Finance 8
2008
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Cited alongside, same era.
D.S. Dean, S.N. Majumdar, Phys. Rev. E 64
2001
Cited alongside, same era.
M. Yor, Exponential functionals of Brownian motion and related processes
2001
Cited alongside, same era.
E. Barkai, Phys. Rev. E 63
2001
Cited alongside, same era.
R.W. Katz, M. P. Parlange and P. Naveau, Adv. Water Resour. 25
2002
Cited alongside, same era.
A. N. Borodin, P. Salminen, Handbook of Brownian Motion - Facts and Formulae
2002
Cited alongside, same era.
Later among the works it cites.
S. N. Majumdar, J. Randon-Furling, M. J. Kearney, M. Yor, J. Phys. A Math. Theor. 41
2008
Later among the works it cites.
G. Schehr, S. N. Majumdar, A. Comtet, J. Randon-Furling, Phys. Rev. Lett. 101
2008
Later among the works it cites.
A. Bovier, A. Faggionato, Ann. Proba. 36
2008
Later among the works it cites.
D. Carpentier, P. Le Doussal, Phys.Rev. E 63
2009
Closest in time.
L. O’Malley, G. Korniss, T. Caraco, Bull. Math. Bio. 71
2009
Closest in time.
J. Rambeau, G. Schehr, J. Stat. Mech. Theor. Exp., P09004 (2009)
2009
Closest in time.
J. Randon-Furling, S. N. Majumdar, A. Comtet, Phys. Rev. Lett. 103
2009
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C. Nadal, S. N. Majumdar, Phys. Rev. E 79
2009
Closest in time.