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Bounding the Boiling Point

Berlekamp Memorial Workshop on Combinatorial Games October 21, 2019 - October 22, 2019

October 22, 2019 (09:30 AM PDT - 10:00 AM PDT)
Speaker(s): Svenja Huntemann (Carleton University)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

bounding_the_boiling_point

Abstract

The boiling point of a class of games $S$ is the supremum of all temperatures in $S$. We show that the boiling point can be bound by the maximum length of the confusion intervals of games in $S$. Further, we give a technique of how to bound, in turn, the length of the confusion interval. As an application example, we show that the boiling point of certain Domineering snakes is at most 3.

This is joint work with Richard Nowakowski and Carlos Santos.