-
1
-
-
0004245694
-
-
M. Abramowitz & I. A. Stegun, eds, Dover, New York
-
M. Abramowitz & I. A. Stegun, eds., Handbook of Mathematical Functions. Dover, New York, 1972.
-
(1972)
Handbook of Mathematical Functions
-
-
-
2
-
-
38149011963
-
-
N. Bleistein & R. A. Handelsman, Asymptotic expansions of Integrals. Dover Publications, 1986. MR0863284
-
N. Bleistein & R. A. Handelsman, Asymptotic expansions of Integrals. Dover Publications, 1986. MR0863284
-
-
-
-
3
-
-
0000654255
-
Some asymptotic properties of the local time of the uniform empirical process
-
MR1735784
-
M. Csörgö, Z. Shi & M. Yor, Some asymptotic properties of the local time of the uniform empirical process. Bernoulli 5 (1999), no. 6, 1035-1058. MR1735784
-
(1999)
Bernoulli
, vol.5
, Issue.6
, pp. 1035-1058
-
-
Csörgö, M.1
Shi, Z.2
Yor, M.3
-
4
-
-
0038931965
-
On the supremum of a certain Gaussian process
-
MR0704564
-
D. A. Darling, On the supremum of a certain Gaussian process. Ann. Probab. 11 (1983), no. 3, 803-806. MR0704564
-
(1983)
Ann. Probab
, vol.11
, Issue.3
, pp. 803-806
-
-
Darling, D.A.1
-
5
-
-
0012091105
-
Tail probabilities for positive random variables with entire characteristic functions of very regular growth
-
MR0431331
-
L. Davies. Tail probabilities for positive random variables with entire characteristic functions of very regular growth. Z. Angew. Math. Mech. 56 (1976), no. 3, T334-T336. MR0431331
-
(1976)
Z. Angew. Math. Mech
, vol.56
, Issue.3
-
-
Davies, L.1
-
6
-
-
22544447161
-
p-functionals, p > 0, and the hypergeometric function. (Russian)
-
p-functionals, p > 0, and the hypergeometric function. (Russian) Mat. Sb. 194 (2003), no. 3, 61-82;
-
(2003)
Mat. Sb
, vol.194
, Issue.3
, pp. 61-82
-
-
Fatalov, V.R.1
-
7
-
-
0038103085
-
-
MR1992557 English translation
-
English translation Sb. Math. 194 (2003), no. 3-4, 369-390. MR1992557
-
(2003)
Sb. Math
, vol.194
, Issue.3-4
, pp. 369-390
-
-
-
8
-
-
38149050331
-
Precise logarithmic asymptotics for the right tails of some limit random variables for random trees
-
to appear. arXiv:math/0701259v1 [math.PR
-
J. A. Fill & S. Janson, Precise logarithmic asymptotics for the right tails of some limit random variables for random trees. Ann. Combinatorics, to appear. arXiv:math/0701259v1 [math.PR]
-
Ann. Combinatorics
-
-
Fill, J.A.1
Janson, S.2
-
9
-
-
0001463608
-
Analytic variations on the Airy distribution
-
MR1855255
-
P. Flajolet & G. Louchard, Analytic variations on the Airy distribution. Algorithmica 31 (2001), 361-377. MR1855255
-
(2001)
Algorithmica
, vol.31
, pp. 361-377
-
-
Flajolet, P.1
Louchard, G.2
-
10
-
-
11244263338
-
-
S. Janson & P. Chassaing, The center of mass of the ISE and the Wiener index of trees. Electronic Comm. Probab. 9 (2004), paper 20, 178-187. MR2108865
-
S. Janson & P. Chassaing, The center of mass of the ISE and the Wiener index of trees. Electronic Comm. Probab. 9 (2004), paper 20, 178-187. MR2108865
-
-
-
-
11
-
-
34548246341
-
Brownian excursion area, Wright's constants in graph enumeration, and other Brownian areas
-
MR2318402
-
S. Janson. Brownian excursion area, Wright's constants in graph enumeration, and other Brownian areas. Probability Surveys 4 (2007), 80-145. MR2318402
-
(2007)
Probability Surveys
, vol.4
, pp. 80-145
-
-
Janson, S.1
-
12
-
-
84966226212
-
On the average of a certain Wiener functional and a related limit theorem in calculus of probability
-
MR0016570
-
M. Kac, On the average of a certain Wiener functional and a related limit theorem in calculus of probability. Trans. Amer. Math. Soc. 59 (1946), 401-414. MR0016570
-
(1946)
Trans. Amer. Math. Soc
, vol.59
, pp. 401-414
-
-
Kac, M.1
-
13
-
-
0012027321
-
Tauberian theorems of exponential type
-
MR0501841
-
Y. Kasahara. Tauberian theorems of exponential type. J. Math. Kyoto Univ. 18 (1978), no. 2, 209-219. MR0501841
-
(1978)
J. Math. Kyoto Univ
, vol.18
, Issue.2
, pp. 209-219
-
-
Kasahara, Y.1
-
14
-
-
38149127924
-
-
M. J. Kearney, S. N. Majumdar & R. J. Martin, The first-passage area for drifted Brownian motion and the moments of the Airy distribution. Preprint, 2007. arXiv:0706.2038v1 [cond-mat.stat-mech]
-
M. J. Kearney, S. N. Majumdar & R. J. Martin, The first-passage area for drifted Brownian motion and the moments of the Airy distribution. Preprint, 2007. arXiv:0706.2038v1 [cond-mat.stat-mech]
-
-
-
-
15
-
-
0021493799
-
Kac's formula, Lévy's local time and Brownian excursion
-
MR0752014
-
G. Louchard, Kac's formula, Lévy's local time and Brownian excursion. J. Appl. Probab. 21 (1984), no. 3, 479-499. MR0752014
-
(1984)
J. Appl. Probab
, vol.21
, Issue.3
, pp. 479-499
-
-
Louchard, G.1
-
16
-
-
0021625402
-
-
G. Louchard, The Brownian excursion area: a numerical analysis. Comput. Math. Appl. 10 (1984), no. 6, 413-417. Erratum: Comput. Math. Appl. Part A 12 (1986), no. 3, 375. MR0783514
-
G. Louchard, The Brownian excursion area: a numerical analysis. Comput. Math. Appl. 10 (1984), no. 6, 413-417. Erratum: Comput. Math. Appl. Part A 12 (1986), no. 3, 375. MR0783514
-
-
-
-
17
-
-
3042834090
-
Exact maximal height distribution of fluctuating interfaces
-
S. N. Majumdar & A. Comtet, Exact maximal height distribution of fluctuating interfaces. Phys. Rev. Lett. 92 (2004), 225501.
-
(2004)
Phys. Rev. Lett
, vol.92
, pp. 225501
-
-
Majumdar, S.N.1
Comtet, A.2
-
18
-
-
21744451309
-
Airy distribution function: From the area under a Brownian excursion to the maximal height of fluctuating interfaces
-
MR2151223
-
S. N. Majumdar & A. Comtet, Airy distribution function: from the area under a Brownian excursion to the maximal height of fluctuating interfaces. J. Stat. Phys. 119 (2005), no. 3-4, 777-826. MR2151223
-
(2005)
J. Stat. Phys
, vol.119
, Issue.3-4
, pp. 777-826
-
-
Majumdar, S.N.1
Comtet, A.2
-
19
-
-
38149041464
-
-
J. Milnor, Morse theory. Princeton University Press, Princeton, N.J., 1963. MR0163331
-
J. Milnor, Morse theory. Princeton University Press, Princeton, N.J., 1963. MR0163331
-
-
-
-
20
-
-
0030365084
-
On the distribution of Brownian areas
-
MR1422979
-
M. Perman & J. A. Wellner, On the distribution of Brownian areas. Ann. Appl. Probab. 6 (1996), no. 4, 1091-1111. MR1422979
-
(1996)
Ann. Appl. Probab
, vol.6
, Issue.4
, pp. 1091-1111
-
-
Perman, M.1
Wellner, J.A.2
-
21
-
-
38149084658
-
-
D. Revuz & M. Yor, Continuous martingales and Brownian motion. 3rd edition. SpringerVerlag, Berlin, 1999. MR1725357
-
D. Revuz & M. Yor, Continuous martingales and Brownian motion. 3rd edition. SpringerVerlag, Berlin, 1999. MR1725357
-
-
-
-
22
-
-
0000637518
-
On the integral of the absolute value of the pinned Wiener process
-
MR0637389
-
L. A. Shepp, On the integral of the absolute value of the pinned Wiener process. Ann. Probab. 10 (1982), no. 1, 234-239. MR0637389
-
(1982)
Ann. Probab
, vol.10
, Issue.1
, pp. 234-239
-
-
Shepp, L.A.1
-
23
-
-
38149057986
-
-
L. Takács, A Bernoulli excursion and its various applications. Adv. Appl. Probab. 23 (1991), no. 3, 557-585. MR1122875
-
L. Takács, A Bernoulli excursion and its various applications. Adv. Appl. Probab. 23 (1991), no. 3, 557-585. MR1122875
-
-
-
-
24
-
-
0011400157
-
Random walk processes and their applications to order statistics
-
MR1161061
-
L. Takács, Random walk processes and their applications to order statistics. Ann. Appl. Probab. 2 (1992), no. 2, 435-459. MR1161061
-
(1992)
Ann. Appl. Probab
, vol.2
, Issue.2
, pp. 435-459
-
-
Takács, L.1
-
25
-
-
0000752136
-
On the distribution of the integral of the absolute value of the Brownian motion
-
MR1202522
-
L. Takács, On the distribution of the integral of the absolute value of the Brownian motion. Ann. Appl. Probab. 3 (1993), no. 1, 186-197. MR1202522
-
(1993)
Ann. Appl. Probab
, vol.3
, Issue.1
, pp. 186-197
-
-
Takács, L.1
-
26
-
-
21844510008
-
Limit distributions for the Bernoulli meander
-
MR1334893
-
L. Takács, Limit distributions for the Bernoulli meander. J. Appl. Probab. 32 (1995), no. 2, 375-395. MR1334893
-
(1995)
J. Appl. Probab
, vol.32
, Issue.2
, pp. 375-395
-
-
Takács, L.1
-
27
-
-
0034336969
-
Asymptotics of the distribution of the integral of the absolute value of the Brownian bridge for large arguments
-
MR1756000
-
L. Tolmatz, Asymptotics of the distribution of the integral of the absolute value of the Brownian bridge for large arguments. Ann. Probab. 28 (2000), no. 1, 132-139. MR1756000
-
(2000)
Ann. Probab
, vol.28
, Issue.1
, pp. 132-139
-
-
Tolmatz, L.1
-
28
-
-
38149134245
-
The saddle point method for the integral of the absolute value of the Brownian motion
-
AC, Nancy
-
L. Tolmatz, The saddle point method for the integral of the absolute value of the Brownian motion. Discrete random walks (Paris, 2003), Discrete Math. Theor. Comput. Sci. Proc. AC, Nancy, 2003, pp. 309-324. MR2042397
-
(2003)
Discrete random walks (Paris, 2003), Discrete Math. Theor. Comput. Sci. Proc
-
-
Tolmatz, L.1
-
29
-
-
14844303686
-
Asymptotics of the distribution of the integral of the positive part of the Brownian bridge for large arguments
-
MR2126559
-
L. Tolmatz, Asymptotics of the distribution of the integral of the positive part of the Brownian bridge for large arguments. J. Math. Anal. Appl. 304 (2005), no. 2, 668-682. MR2126559
-
(2005)
J. Math. Anal. Appl
, vol.304
, Issue.2
, pp. 668-682
-
-
Tolmatz, L.1
-
30
-
-
0000246649
-
A relation between Brownian bridge and Brownian excursion
-
MR0515820
-
W. Vervaat, A relation between Brownian bridge and Brownian excursion. Ann. Probab. 7 (1979), no. 1, 143-149. MR0515820
-
(1979)
Ann. Probab
, vol.7
, Issue.1
, pp. 143-149
-
-
Vervaat, W.1
|