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The Penney’s Game with Group Action
by
Li, Sean
, Khovanova, Tanya
in
Combinatorics
/ Games
/ Group theory
/ Mathematics
/ Mathematics and Statistics
2022
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Do you wish to request the book?
The Penney’s Game with Group Action
by
Li, Sean
, Khovanova, Tanya
in
Combinatorics
/ Games
/ Group theory
/ Mathematics
/ Mathematics and Statistics
2022
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Journal Article
The Penney’s Game with Group Action
2022
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Overview
Consider equipping an alphabet
A
with a group action which partitions the set of words into equivalence classes which we call patterns. We answer standard questions for Penney’s game on patterns and show non-transitivity for the game on patterns as the length of the pattern tends to infinity. We also analyze bounds on the pattern-based Conway leading number and expected wait time, and further explore the game under the cyclic and symmetric group actions.
Publisher
Springer International Publishing,Springer Nature B.V
Subject
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