Density of growth-rates of subgroups of a free group and the non-backtracking spectrum of the configuration model

Michail Louvaris; Daniel T. Wise; Gal Yehuda

Density of growth-rates of subgroups of a free group and the non-backtracking spectrum of the configuration model

Michail Louvaris
, Daniel T. Wise
, Gal Yehuda

Department of Mathematics

Weizmann Institute of Science

Research output: Contribution to journal › Article

Abstract

We prove the set of growth-rates of subgroups of a rank r free group
is dense in [1, 2r−1]. Our main technical contribution is a concentration result for
the leading eigenvalue of the non-backtracking matrix in the configuration model

Original language	English
Number of pages	37
Journal	arxiv.org
State	In preparation - 10 Apr 2024

Cite this

@article{36da5639458a478a9123353be69f2124,

title = "Density of growth-rates of subgroups of a free group and the non-backtracking spectrum of the configuration model",

abstract = "We prove the set of growth-rates of subgroups of a rank r free group is dense in [1, 2r−1]. Our main technical contribution is a concentration result for the leading eigenvalue of the non-backtracking matrix in the configuration model",

author = "Michail Louvaris and Wise, \{Daniel T.\} and Gal Yehuda",

year = "2024",

month = apr,

day = "10",

language = "الإنجليزيّة",

}

TY - JOUR

T1 - Density of growth-rates of subgroups of a free group and the non-backtracking spectrum of the configuration model

AU - Louvaris, Michail

AU - Wise, Daniel T.

AU - Yehuda, Gal

PY - 2024/4/10

Y1 - 2024/4/10

N2 - We prove the set of growth-rates of subgroups of a rank r free group is dense in [1, 2r−1]. Our main technical contribution is a concentration result for the leading eigenvalue of the non-backtracking matrix in the configuration model

AB - We prove the set of growth-rates of subgroups of a rank r free group is dense in [1, 2r−1]. Our main technical contribution is a concentration result for the leading eigenvalue of the non-backtracking matrix in the configuration model

M3 - مقالة

SN - 2331-8422

JO - arxiv.org

JF - arxiv.org

ER -

Density of growth-rates of subgroups of a free group and the non-backtracking spectrum of the configuration model

Abstract

Fingerprint

Cite this