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dc.contributor.author
Menchón, Silvia Adriana
dc.contributor.author
Román, Pablo Manuel
dc.date.available
2021-10-19T12:00:03Z
dc.date.issued
2020-12-24
dc.identifier.citation
Menchón, Silvia Adriana; Román, Pablo Manuel; Emergence of power law distributions for odd and even lifetimes; American Physical Society; Physical Review E; 102; 6; 24-12-2020; 1-8
dc.identifier.issn
1063-651X
dc.identifier.uri
http://hdl.handle.net/11336/144201
dc.description.abstract
Avalanche lifetime distributions have been related to first-return random walk processes. In this sense, the theory for random walks can be employed to understand, for instance, the origin of power law distributions in self-organized criticality. In this work, we study first-return probability distributions, f(n), for discrete random walks with constant one-step transition probabilities. Explicit expressions are given in terms of 2F1 hypergeometric functions, allowing us to study the different behaviors of f(n) for odd and even values of n. We show that the first-return probabilities have a power law behavior with exponent -3/2 only when the random walk is unbiased. In any other case, it presents an exponential decay.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Physical Society
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
RANDOM WALKS
dc.subject
FIRST RETURN PROBABILITY
dc.subject
SPECTRAL ANALYSIS
dc.subject
ORTHOGONAL POLYNOMIALS
dc.subject
ASSOCIATED ORTHOGONAL POLYNOMIALS
dc.subject.classification
Otras Ciencias Físicas
dc.subject.classification
Ciencias Físicas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Emergence of power law distributions for odd and even lifetimes
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2021-09-06T16:40:53Z
dc.journal.volume
102
dc.journal.number
6
dc.journal.pagination
1-8
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Maryland
dc.description.fil
Fil: Menchón, Silvia Adriana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
dc.description.fil
Fil: Román, Pablo Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
dc.journal.title
Physical Review E
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.102.062143
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1103/PhysRevE.102.062143
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://pubmed.ncbi.nlm.nih.gov/33466061/
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