4 papers
Generalized Hamiltonian Dynamics and Chaos in Evolutionary Games on Networks
Christopher Griffin, Justin Semonsen, Andrew Belmonte
We study the network replicator equation and characterize its fixed points on arbitrary graph structures for symmetric games. We show a relationship between the asympt…
An Asymptotic Determinant Bound on 0-1 Matrices with Fixed Row Sums
Justin Semonsen
This paper improves previously known bounds on the determinant of 0-1 matrices where each row has fixed support size. This uses a method based on Scheinerman's, with new analyses t…
Counting Permutations that Avoid Many Patterns
Yonah Biers-Ariel, Haripriya Chakraborty, John Chiarelli +8
This paper presents a collection of experimental results regarding permutation pattern avoidance, focusing on cases where there are "many" patterns to be avoided.
Increasing Peer Pressure on any Connected Graph Leads to Consensus
Justin Semonsen, Christopher Griffin, Anna Squicciarini +1
In this paper, we study a model of opinion dynamics in a social network in the presence increasing interpersonal influence, i.e., increasing peer pressure. Each agent in the social…