The full spectrum of random walks on complete finite d-ary trees

Evita Nestoridi; Oanh Nguyen

doi:10.1214/21-EJP608

The full spectrum of random walks on complete finite d-ary trees

Evita Nestoridi, Oanh Nguyen

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In the present paper, we determine the full spectrum of the simple random walk on finite, complete d-ary trees. We also find an eigenbasis for the transition matrix. As an application, we apply our results to get a lower bound for the interchange process on complete, finite d-ary trees, which we conjecture to be sharp.

Original language	English (US)
Article number	43
Journal	Electronic Journal of Probability
Volume	26
DOIs	https://doi.org/10.1214/21-EJP608
State	Published - 2021

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty

Keywords

Random walk
Regular trees
Spectrum

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10.1214/21-EJP608

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abstract = "In the present paper, we determine the full spectrum of the simple random walk on finite, complete d-ary trees. We also find an eigenbasis for the transition matrix. As an application, we apply our results to get a lower bound for the interchange process on complete, finite d-ary trees, which we conjecture to be sharp.",

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AU - Nguyen, Oanh

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AB - In the present paper, we determine the full spectrum of the simple random walk on finite, complete d-ary trees. We also find an eigenbasis for the transition matrix. As an application, we apply our results to get a lower bound for the interchange process on complete, finite d-ary trees, which we conjecture to be sharp.

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KW - Regular trees

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JO - Electronic Journal of Probability

JF - Electronic Journal of Probability

M1 - 43

ER -

The full spectrum of random walks on complete finite d-ary trees

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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