Backhausz, Ágnes and Virág, Bálint (2017) Spectral measures of factor of i.i.d. processes on vertextransitive graphs. Annales de l'Institut Henri Poincare (B) Probability and Statistics, 53 (4). pp. 22602278. ISSN 02460203

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Official URL: https://doi.org/10.1214/16AIHP790
Abstract
We prove that a measure on [d,d] is the spectral measure of a factor of i.i.d. process on a vertextransitive infinite graph if and only if it is absolutely continuous with respect to the spectral measure of the graph. Moreover, we show that the set of spectral measures of factor of i.i.d. processes and that of . d2limits of factor of i.i.d. processes are the same. © Association des Publications de l'Institut Henri Poincaré, 2017.
Item Type:  Article 

Uncontrolled Keywords:  Spectral measure; Gaussian process; Factor of i.i.d. 
Subjects:  Q Science / természettudomány > QA Mathematics / matematika > QA166QA166.245 Graphs theory / gráfelmélet 
SWORD Depositor:  MTMT SWORD 
Depositing User:  MTMT SWORD 
Date Deposited:  12 Feb 2018 08:15 
Last Modified:  12 Feb 2018 08:15 
URI:  http://real.mtak.hu/id/eprint/74276 
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