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Volumn 12, Issue , 2007, Pages 36-43

A probabilistic proof of a weak limit law for the number of cuts needed to isolate the root of a random recursive tree

Author keywords

Coupling; Random recursive tree; Random walk; Stable limit

Indexed keywords


EID: 33847621768     PISSN: None     EISSN: 1083589X     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (37)

References (11)
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    • BOLTHAUSEN, E.1    SZNITMAN, A.-S.2
  • 2
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    • Asymptotic results about the total branch length of the Bolthausen-Sznitman coalescent
    • to appear
    • DRMOTA, M., IKSANOV, A., MÖHLE. M., AND RÖSLER, U. (2007). Asymptotic results about the total branch length of the Bolthausen-Sznitman coalescent. Stock. Process. Appl. 117, to appear
    • (2007) Stock. Process. Appl , vol.117
    • DRMOTA, M.1    IKSANOV, A.2    MÖHLE, M.3    RÖSLER, U.4
  • 3
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    • A limiting distribution for the number of cuts needed to isolate the root of a random recursive tree. Preprint
    • submitted to
    • DRMOTA, M., IKSANOV, A., MÖHLE, M., AND RÖSLER, U. (2006). A limiting distribution for the number of cuts needed to isolate the root of a random recursive tree. Preprint, submitted to Random Structures Algorithms
    • (2006) Random Structures Algorithms
    • DRMOTA, M.1    IKSANOV, A.2    MÖHLE, M.3    RÖSLER, U.4
  • 4
    • 84963874608 scopus 로고
    • Strong renewal theorems with infinite mean
    • MR0268976
    • ERICKSON, K.B. (1970). Strong renewal theorems with infinite mean. Trans. Amer. Math. Soc. 151, 263-291. MR0268976
    • (1970) Trans. Amer. Math. Soc , vol.151 , pp. 263-291
    • ERICKSON, K.B.1
  • 5
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    • Stable probability distributions and their domains of attraction: A direct approach
    • MR1785245
    • GELUK, J.L. AND DE HAAN. L. (2000). Stable probability distributions and their domains of attraction: a direct approach. Probab. Math. Statist. 20, 169-188. MR1785245
    • (2000) Probab. Math. Statist , vol.20 , pp. 169-188
    • GELUK, J.L.1    DE HAAN, L.2
  • 6
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    • Anwendung von Erneuerungstheoremen und Taubersätzen für eine Verallgemeinerung der Erneuerungsprozesse
    • MR0300354
    • HINDERER, K. AND WALK, H. (1972). Anwendung von Erneuerungstheoremen und Taubersätzen für eine Verallgemeinerung der Erneuerungsprozesse. Math. Z. 126, 95-115. MR0300354
    • (1972) Math. Z , vol.126 , pp. 95-115
    • HINDERER, K.1    WALK, H.2
  • 7
    • 33847682130 scopus 로고    scopus 로고
    • JANSON, S. (2004). Random records and cuttings in complete binary trees. In: Mathematics and Computer Science. III, Birkhäuser, Basel, pp. 241-253. MR2090513
    • JANSON, S. (2004). Random records and cuttings in complete binary trees. In: Mathematics and Computer Science. III, Birkhäuser, Basel, pp. 241-253. MR2090513
  • 8
    • 33748429419 scopus 로고    scopus 로고
    • Random cutting and records in deterministic and random trees
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    • JANSON, S. (2006). Random cutting and records in deterministic and random trees. Random Structures Algorithms 29, 139-179. MR2245498
    • (2006) Random Structures Algorithms , vol.29 , pp. 139-179
    • JANSON, S.1
  • 9
    • 0016224781 scopus 로고    scopus 로고
    • MEIR, A. AND MOON, J.W. (1974). Cutting down recursive trees. Math. Biosci. 21, 173-181. Math. Review number not available, Zbl 028805102
    • MEIR, A. AND MOON, J.W. (1974). Cutting down recursive trees. Math. Biosci. 21, 173-181. Math. Review number not available, Zbl 028805102
  • 10
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    • Convergence results for compound Poisson distributions and applications to the standard Luria-Delbrück distribution
    • MR2157509
    • MÖHLE, M. (2005). Convergence results for compound Poisson distributions and applications to the standard Luria-Delbrück distribution. J. Appl. Probab. 42, 620-631. MR2157509
    • (2005) J. Appl. Probab , vol.42 , pp. 620-631
    • MÖHLE, M.1
  • 11
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    • PANHOLZER., A. (2004). Destruction of recursive trees. In: Mathematics and Computer Science III, Birkhäuser, Basel, pp. 267-280. MR2090518
    • PANHOLZER., A. (2004). Destruction of recursive trees. In: Mathematics and Computer Science III, Birkhäuser, Basel, pp. 267-280. MR2090518


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.