Statistics in conjugacy classes in free groups

George Kenison; Richard Sharp

doi:10.1007/s10711-018-0329-2

Statistics in conjugacy classes in free groups

George Kenison, Richard Sharp^*

^*Corresponding author for this work

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

1 Citation (Scopus)

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Abstract

In this paper, we establish statistical results for a convex co-compact action of a free group on a CAT((Formula presented.)) space where we restrict to a non-trivial conjugacy class in the group. In particular, we obtain a central limit theorem where the variance is twice the variance that appears when we do not make this restriction.

Original language	English
Pages (from-to)	1-14
Number of pages	14
Journal	Geometriae Dedicata
Early online date	9 Feb 2018
DOIs	https://doi.org/10.1007/s10711-018-0329-2
Publication status	E-pub ahead of print - 9 Feb 2018

Keywords

Central limit theorem
Conjugacy class
Convex co-compact
Free group
Generating functions
Measure of maximal entropy
Subshift of finite type
Thermodynamic formalism
Transfer operators

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Cite this

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AB - In this paper, we establish statistical results for a convex co-compact action of a free group on a CAT((Formula presented.)) space where we restrict to a non-trivial conjugacy class in the group. In particular, we obtain a central limit theorem where the variance is twice the variance that appears when we do not make this restriction.

KW - Central limit theorem

KW - Conjugacy class

KW - Convex co-compact

KW - Free group

KW - Generating functions

KW - Measure of maximal entropy

KW - Subshift of finite type

KW - Thermodynamic formalism

KW - Transfer operators

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JF - Geometriae Dedicata

SN - 0046-5755

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Statistics in conjugacy classes in free groups

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Keywords

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