Return of Fibonacci random walks

Jörg Neunhäuserer

doi:10.1016/j.spl.2016.10.009

Return of Fibonacci random walks

Jörg Neunhäuserer

Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › Begutachtung

5 Zitate (Scopus)

Abstract

We determine the probability of return for random walks on Z whose increment is given by the Fibonacci sequence. In addition we calculate the Hausdorff dimension of the set of these walks that return an infinite number of times.

Originalsprache	Englisch
Zeitschrift	Statistics and Probability Letters
Jahrgang	121
Seiten (von - bis)	51-53
Seitenumfang	3
ISSN	0167-7152
DOIs	https://doi.org/10.1016/j.spl.2016.10.009
Publikationsstatus	Erschienen - 01.02.2017

Fachgebiete und Schlagwörter

Mathematik

ASJC Scopus Sachgebiete

Statistik, Wahrscheinlichkeit und Ungewissheit
Statistik und Wahrscheinlichkeit

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10.1016/j.spl.2016.10.009

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abstract = "We determine the probability of return for random walks on Z whose increment is given by the Fibonacci sequence. In addition we calculate the Hausdorff dimension of the set of these walks that return an infinite number of times.",

keywords = "Fibonacci numbers, Hausdorff dimension, Probability of return, Random walks, Mathematics",

author = "J{\"o}rg Neunh{\"a}userer",

year = "2017",

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doi = "10.1016/j.spl.2016.10.009",

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AB - We determine the probability of return for random walks on Z whose increment is given by the Fibonacci sequence. In addition we calculate the Hausdorff dimension of the set of these walks that return an infinite number of times.

KW - Fibonacci numbers

KW - Hausdorff dimension

KW - Probability of return

KW - Random walks

KW - Mathematics

UR - https://www.scopus.com/pages/publications/84994021861

U2 - 10.1016/j.spl.2016.10.009

DO - 10.1016/j.spl.2016.10.009

M3 - Journal articles

AN - SCOPUS:84994021861

SN - 0167-7152

VL - 121

SP - 51

EP - 53

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

ER -

Return of Fibonacci random walks

Abstract

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