Backhausz, Ágnes and Virág, Bálint (2017) Spectral measures of factor of i.i.d. processes on vertex-transitive graphs. Annales de l'Institut Henri Poincare (B) Probability and Statistics, 53 (4). pp. 2260-2278. ISSN 0246-0203
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Official URL: https://doi.org/10.1214/16-AIHP790
Abstract
We prove that a measure on [-d,d] is the spectral measure of a factor of i.i.d. process on a vertex-transitive 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 . d2-limits 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 > QA166-QA166.245 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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