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This is a Quantitative Study study.

September 18, 2025Compositio Mathematica

Random walks and contracting elements I: deviation inequality and limit laws

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Authors

ICInhyeok ChoiKorea Institute for Advanced Study

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Implication

This analysis establishes deviation inequalities and limit laws for random walks, highlighting implications in CAT(0) spaces and mapping class groups.

Key Points

Sharp deviation inequalities are established for random walks, providing foundational insights.
The study reveals exponential bounds for deviation, supporting robust statistical properties of random walks.
Applications include the central limit theorem and law of the iterated logarithms for walks on specific metric spaces.
Focus on the geodesic tracking of random walks, particularly within mapping class groups and CAT(0) spaces.

Cite This Study

Inhyeok Choi (2025) studied this question.

synapsesocial.com/papers/68d461d231b076d99fa6163a https://doi.org/10.1112/s0010437x25007511

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Implication

This analysis establishes deviation inequalities and limit laws for random walks, highlighting implications in CAT(0) spaces and mapping class groups.

Random walks and contracting elements I: deviation inequality and limit laws

Discussion

Member takes

Implication

Key Points

Cite This Study

Random walks and contracting elements I: deviation inequality and limit laws

Discussion

Member takes

Implication

Key Points

Cite This Study

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