Some remarks on a probability limit theorem for continued fractions : Notas de Matemática, 57

It is shown that if a certain condition on the variances of the partial sums is satisfied then a theorem of Philipp and Stout, which implies the asymptotic fluctuation results known for independent random variables, can be applied to some quantities related to continued fractions. Previous results o...

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Autor principal: Samur, Jorge Donato
Formato: Publicacion seriada
Lenguaje:Español
Publicado: 1995
Materias:
Matemática
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/170675
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SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-170675
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spelling I19-R120-10915-1706752024-09-25T20:10:50Z http://sedici.unlp.edu.ar/handle/10915/170675 Some remarks on a probability limit theorem for continued fractions : Notas de Matemática, 57 Samur, Jorge Donato 1995 2024-09-25T19:23:08Z es Matemática It is shown that if a certain condition on the variances of the partial sums is satisfied then a theorem of Philipp and Stout, which implies the asymptotic fluctuation results known for independent random variables, can be applied to some quantities related to continued fractions. Previous results on the behavior of the approximation by the continued fraction convergente to a random real number are improved. Material digitalizado en SEDICI gracias a la colaboración de la Biblioteca del Departamento de Matemática de la Facultad de Ciencias Exactas (UNLP). Facultad de Ciencias Exactas Publicacion seriada Publicacion seriada http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) application/pdf
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Español
topic Matemática
spellingShingle Matemática
Samur, Jorge Donato
Some remarks on a probability limit theorem for continued fractions : Notas de Matemática, 57
topic_facet Matemática
description It is shown that if a certain condition on the variances of the partial sums is satisfied then a theorem of Philipp and Stout, which implies the asymptotic fluctuation results known for independent random variables, can be applied to some quantities related to continued fractions. Previous results on the behavior of the approximation by the continued fraction convergente to a random real number are improved.
format Publicacion seriada
Publicacion seriada
author Samur, Jorge Donato
author_facet Samur, Jorge Donato
author_sort Samur, Jorge Donato
title Some remarks on a probability limit theorem for continued fractions : Notas de Matemática, 57
title_short Some remarks on a probability limit theorem for continued fractions : Notas de Matemática, 57
title_full Some remarks on a probability limit theorem for continued fractions : Notas de Matemática, 57
title_fullStr Some remarks on a probability limit theorem for continued fractions : Notas de Matemática, 57
title_full_unstemmed Some remarks on a probability limit theorem for continued fractions : Notas de Matemática, 57
title_sort some remarks on a probability limit theorem for continued fractions : notas de matemática, 57
publishDate 1995
url http://sedici.unlp.edu.ar/handle/10915/170675
work_keys_str_mv AT samurjorgedonato someremarksonaprobabilitylimittheoremforcontinuedfractionsnotasdematematica57
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