Functional CLT for the range of stable random walks

Wojciech Cygan, Nikola Sandrić, Stjepan Sebek

Publikation: Beitrag in einer FachzeitschriftArtikelForschungBegutachtung

Abstract

In this note, we establish a functional central limit theorem for the capacity of the
range for a class of α-stable random walks on the integer lattice Zd with d > 5α/2. Using similar methods, we also prove an analogous result for the cardinality of the range when d > 3α/2.
Originalspracheenglisch
Seitenumfang12
FachzeitschriftarXiv.org e-Print archive
PublikationsstatusEingereicht - 2019

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Functional Central Limit Theorem
Cardinality
Random walk
Integer
Range of data
Class

Schlagwörter

    ASJC Scopus subject areas

    • !!Mathematics(all)

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    Cygan, W., Sandrić, N., & Sebek, S. (2019). Functional CLT for the range of stable random walks. Manuskript zur Veröffentlichung eingereicht.

    Functional CLT for the range of stable random walks. / Cygan, Wojciech; Sandrić, Nikola; Sebek, Stjepan.

    in: arXiv.org e-Print archive, 2019.

    Publikation: Beitrag in einer FachzeitschriftArtikelForschungBegutachtung

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