most citedCounting equilibria of the Kuramoto model using birationally invariant intersection index

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math.CO2018

State Polytopes Related to Two Classes of Combinatorial Neural Codes

Robert Davis

Combinatorial neural codes are vectors that are used to model the co-firing patterns of a set of place cells in the brain. One wide-open problem in this area is to determine…

math.CO2017

A Polyhedral Proof of a Wreath Product Identity

Robert Davis, Bruce Sagan

In 2013, Beck and Braun proved and generalized multiple identities involving permutation statistics via discrete geometry. Namely, they recognized the identities as specializations…