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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On Sloane's Persistence Problem

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Author(s):
de Faria, Edson [1] ; Tresser, Charles [2]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo - Brazil
[2] IBM Corp, Yorktown Hts, NY - USA
Total Affiliations: 2
Document type: Journal article
Source: EXPERIMENTAL MATHEMATICS; v. 23, n. 4, p. 363-382, 2014.
Web of Science Citations: 0
Abstract

We investigate the so-called persistence problem of Sloane, exploiting connections with the dynamics of circle maps and the ergodic theory of Z(d) actions. We also formulate a conjecture concerning the asymptotic distribution of digits in long products of finitely many primes whose truth would, in particular, solve the persistence problem. The heuristics that we propose to complement our numerical studies can be considered in terms of a simple model in statistical mechanics. (AU)

FAPESP's process: 12/19995-0 - Visit of professor Charles Tresser to IME-USP
Grantee:Edson de Faria
Support Opportunities: Research Grants - Visiting Researcher Grant - International