A Central Limit Theorem for inner functions

Arturo Nicolau Nos; Odi Soler Gibert

doi:10.1016/j.aim.2022.108318

A Central Limit Theorem for inner functions

Arturo Nicolau Nos, Odi Soler Gibert

Producció científica: Contribució a revista › Article › Recerca › Avaluat per experts

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Resum

A Central Limit Theorem for linear combinations of iterates of an inner function is proved. The main technical tool is Aleksandrov Desintegration Theorem for Aleksandrov-Clark measures.

Idioma original	Anglès nord-americà
Número d’article	108318
Nombre de pàgines	39
Revista	Advances in Mathematics
Volum	401
DOIs	https://doi.org/10.1016/j.aim.2022.108318
Estat de la publicació	Publicada - 4 de juny 2022

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10.1016/j.aim.2022.108318

https://ddd.uab.cat/record/258281Llicència: Creative Commons Reconeixement

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Aspectos probabilísticos y geométricos de la teoría de funciones
Nicolau Nos, A. (PI), Gonzalez Llorente, J. (Co-Investigador/a Principal), Arroyo Garcia, A. R. (Col.laborador/a), Donaire Benito, J. J. (Investigador/a), González Fuentes, M. J. (Investigador/a), Levi, M. (Investigador/a), Soler Gibert, O. (Col.laborador/a), Limani, A. (Col.laborador/a) & Macia Medina, V. J. (Col.laborador/a)
Ministerio de Economía y Competitividad (MINECO), Fons Europeu de Desenvolupament Regional (FEDER)
1/01/18 → 30/09/22
Projecte: Projectes i Ajuts a la Recerca

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title = "A Central Limit Theorem for inner functions",

abstract = "A Central Limit Theorem for linear combinations of iterates of an inner function is proved. The main technical tool is Aleksandrov Desintegration Theorem for Aleksandrov-Clark measures.",

keywords = "Aleksandrov-Clark measures, Central Limit Theorem, Inner functions",

author = "\{Nicolau Nos\}, Arturo and \{Soler Gibert\}, Odi",

note = "Funding Information: Both authors have been supported in part by the Generalitat de Catalunya (grant 2017 SGR 395), the Spanish Ministerio de Ciencia e Innovaci{\'o}n (project MTM2017-85666-P) and the Spanish Research Agency (Mar{\'i}a de Maeztu Program CEX2020-001084-M). Second author has also been supported by the ERC project CHRiSHarMa no. DLV-682402. Publisher Copyright: {\textcopyright} 2022 The Authors",

year = "2022",

month = jun,

day = "4",

doi = "10.1016/j.aim.2022.108318",

language = "Ingl{\'e}s estadounidense",

volume = "401",

journal = "Advances in Mathematics",

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TY - JOUR

T1 - A Central Limit Theorem for inner functions

AU - Nicolau Nos, Arturo

AU - Soler Gibert, Odi

N1 - Funding Information: Both authors have been supported in part by the Generalitat de Catalunya (grant 2017 SGR 395), the Spanish Ministerio de Ciencia e Innovación (project MTM2017-85666-P) and the Spanish Research Agency (María de Maeztu Program CEX2020-001084-M). Second author has also been supported by the ERC project CHRiSHarMa no. DLV-682402. Publisher Copyright: © 2022 The Authors

PY - 2022/6/4

Y1 - 2022/6/4

N2 - A Central Limit Theorem for linear combinations of iterates of an inner function is proved. The main technical tool is Aleksandrov Desintegration Theorem for Aleksandrov-Clark measures.

AB - A Central Limit Theorem for linear combinations of iterates of an inner function is proved. The main technical tool is Aleksandrov Desintegration Theorem for Aleksandrov-Clark measures.

KW - Aleksandrov-Clark measures

KW - Central Limit Theorem

KW - Inner functions

UR - https://www.scopus.com/pages/publications/85126290854

UR - https://www.mendeley.com/catalogue/e020d4e7-5ff0-35e9-839a-92ea6942f3dc/

U2 - 10.1016/j.aim.2022.108318

DO - 10.1016/j.aim.2022.108318

M3 - Artículo

SN - 0001-8708

VL - 401

JO - Advances in Mathematics

JF - Advances in Mathematics

M1 - 108318

ER -

A Central Limit Theorem for inner functions

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