메뉴 건너뛰기




Volumn 31, Issue 3, 2001, Pages 361-377

Analytic variations on the airy distribution

Author keywords

Airy function; Brownian excursion area; Linear probing hashing; Parking problem

Indexed keywords

DATA STRUCTURES; MATHEMATICAL TRANSFORMATIONS; POLYNOMIALS; PROBLEM SOLVING; RANDOM PROCESSES; THEOREM PROVING; TREES (MATHEMATICS);

EID: 0001463608     PISSN: 01784617     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00453-001-0056-0     Document Type: Article
Times cited : (60)

References (27)
  • 1
    • 0003851731 scopus 로고
    • Dover, New York, 1973. A reprint of the tenth National Bureau of Standards edition
    • M. Abramowitz and I. A. Stegun. Handbook of Mathematical Functions. Dover, New York, 1973. A reprint of the tenth National Bureau of Standards edition, 1964.
    • (1964) Handbook of Mathematical Functions
    • Abramowitz, M.1    Stegun, I.A.2
  • 2
    • 0032237324 scopus 로고    scopus 로고
    • The standard additive coalescent
    • D. Aldous and J. Pitman. The standard additive coalescent. The Annals of Probability, 26(4): 1703-1726, 1998.
    • (1998) The Annals of Probability , vol.26 , Issue.4 , pp. 1703-1726
    • Aldous, D.1    Pitman, J.2
  • 3
    • 84974625368 scopus 로고    scopus 로고
    • Planar maps and Airy phenomena
    • E. Welzl, U. Montanari, and J. Rolim, editors, Number 1853 in Lecture Notes in Computer Science, Springer-Verlag, Berlin, 2000. Proceedings of the 27th ICALP Conference, Geneva, July 2000
    • C. Banderier, P. Flajolet, G. Schaeffer, and M. Soria. Planar maps and Airy phenomena. In E. Welzl, U. Montanari, and J. Rolim, editors, Automata, Languages, and Programming, Number 1853 in Lecture Notes in Computer Science, pages 388-402. Springer-Verlag, Berlin, 2000. Proceedings of the 27th ICALP Conference, Geneva, July 2000.
    • Automata, Languages, and Programming , pp. 388-402
    • Banderier, C.1    Flajolet, P.2    Schaeffer, G.3    Soria, M.4
  • 5
    • 0007508829 scopus 로고    scopus 로고
    • Parking functions, empirical processes and the width of rooted labeled trees
    • P. Chassaing and J.-F. Marckert. Parking functions, empirical processes and the width of rooted labeled trees. Electronic Journal of Combinatorics, 8, R14, 2001. 18 pages.
    • (2001) Electronic Journal of Combinatorics , vol.8 , Issue.R14
    • Chassaing, P.1    Marckert, J.-F.2
  • 6
    • 0000654255 scopus 로고    scopus 로고
    • Some asymptotic properties of the local time of the uniform empirical processes
    • December
    • M. Csorgo, Z. Shi, and M. Yor. Some asymptotic properties of the local time of the uniform empirical processes. Bernoulli, 5(6):1035-1058, December 1999.
    • (1999) Bernoulli , vol.5 , Issue.6 , pp. 1035-1058
    • Csorgo, M.1    Shi, Z.2    Yor, M.3
  • 8
    • 0007551295 scopus 로고    scopus 로고
    • Q-grammars and wall polyominoes
    • P. Duchon. Q-grammars and wall polyominoes. Annals of Combinatorics, 3:311-321, 1999.
    • (1999) Annals of Combinatorics , vol.3 , pp. 311-321
    • Duchon, P.1
  • 9
    • 0042309538 scopus 로고
    • Combinatorial aspects of continued fractions
    • P. Flajolet. Combinatorial aspects of continued fractions. Discrete Mathematics, 32:125-161, 1980.
    • (1980) Discrete Mathematics , vol.32 , pp. 125-161
    • Flajolet, P.1
  • 10
    • 0029326388 scopus 로고
    • Mellin transforms and asymptotics: Harmonic sums
    • June
    • P. Flajolet, X. Gourdon, and P. Dumas. Mellin transforms and asymptotics: Harmonic sums. Theoretical Computer Science, 144(1-2):3-58, June 1995.
    • (1995) Theoretical Computer Science , vol.144 , Issue.1-2 , pp. 3-58
    • Flajolet, P.1    Gourdon, X.2    Dumas, P.3
  • 11
    • 19544388116 scopus 로고    scopus 로고
    • On the analysis of linear probing hashing
    • December
    • P. Flajolet, P. Poblete, and A. Viola. On the analysis of linear probing hashing. Algorithmica, 22(4):490-515, December 1998.
    • (1998) Algorithmica , vol.22 , Issue.4 , pp. 490-515
    • Flajolet, P.1    Poblete, P.2    Viola, A.3
  • 12
    • 0033235811 scopus 로고    scopus 로고
    • The Brownian excursion multi-dimensional local time density
    • B. Gittenberger and G. Louchard. The Brownian excursion multi-dimensional local time density. Journal of Applied Probability, 36(2):350-373, 1999.
    • (1999) Journal of Applied Probability , vol.36 , Issue.2 , pp. 350-373
    • Gittenberger, B.1    Louchard, G.2
  • 14
    • 0242649742 scopus 로고
    • Über einige Funktionaldifferentialgleichungen aus der Analyse von Algorithmen
    • E. Hlawka, editor, Number 1262 in Lecture Notes in Mathematics, Springer-Verlag, Berlin
    • P. Kirschenhofer, H. Prodinger, and R. Tichy. Über einige Funktionaldifferentialgleichungen aus der Analyse von Algorithmen. In E. Hlawka, editor, Zahlentheoretische Analysis II, Number 1262 in Lecture Notes in Mathematics, pages 111-123. Springer-Verlag, Berlin, 1987.
    • (1987) Zahlentheoretische Analysis II , pp. 111-123
    • Kirschenhofer, P.1    Prodinger, H.2    Tichy, R.3
  • 15
    • 0003657593 scopus 로고    scopus 로고
    • Seminumerical Algorithms, 3rd edition; Addison-Wesley
    • D. E. Knuth. The An of Computer Programming, Volume 2: Seminumerical Algorithms, 3rd edition; Addison-Wesley, 1998.
    • (1998) The An of Computer Programming , vol.2
    • Knuth, D.E.1
  • 17
    • 0021493799 scopus 로고
    • Kac's formula, Lévy's local time and Brownian excursion
    • G. Louchard. Kac's formula, Lévy's local time and Brownian excursion. Journal of Applied Probability, 21:479-499, 1984.
    • (1984) Journal of Applied Probability , vol.21 , pp. 479-499
    • Louchard, G.1
  • 20
    • 0000637518 scopus 로고
    • On the integral of the absolute value of the pinned Wiener process
    • L. A. Shepp. On the integral of the absolute value of the pinned Wiener process. Annals of Probability, 10:234-239, 1982.
    • (1982) Annals of Probability , vol.10 , pp. 234-239
    • Shepp, L.A.1
  • 22
    • 0000703623 scopus 로고
    • A Bernoulli excursion and its various applications
    • L. Takács. A Bernoulli excursion and its various applications. Advances in Applied Probability, 23:557-585, 1991.
    • (1991) Advances in Applied Probability , vol.23 , pp. 557-585
    • Takács, L.1
  • 25
    • 0003855242 scopus 로고
    • Chelsea, New York, 1986. Reprinted from the second edition, Oxford University Press, Oxford
    • E. C. Titchmarsh. Introduction to the Theory of Fourier Integrals. Chelsea, New York, 1986. Reprinted from the second edition, Oxford University Press, Oxford, 1948.
    • (1948) Introduction to the Theory of Fourier Integrals
    • Titchmarsh, E.C.1
  • 27
    • 0001886010 scopus 로고
    • The number of connected sparsely edged graphs
    • E. M. Wright. The number of connected sparsely edged graphs. Journal of Graph Theory, 1:317-330, 1977.
    • (1977) Journal of Graph Theory , vol.1 , pp. 317-330
    • Wright, E.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.