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The Visitors to Zero of Some Deterministic Random Walks
Author(s) -
Aaronson Jon,
Keane Michael
Publication year - 1982
Publication title -
proceedings of the london mathematical society
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/s3-44.3.535
Subject(s) - mathematics , random walk , zero (linguistics) , combinatorics , discrete mathematics , statistics , philosophy , linguistics
We study the asymptotic behaviour of the functionsΨ n ( x ) = { 1 ⩽ k ⩽ n : φ k ( x ) = 0 }whereφ n ( x ) = ∑ k = 0 n − 1φ ( x + k α mod 1 ) .andφ n ( x ) = ∑ k = 0 n − 1φ ( x + k α mod 1 )
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