activity
20232025
most citedHigher Order Dynamics in the Replicator Equation Produce a Limit Cycle in Rock-Paper-Scissors

7 citations · 8 across the 5 of their papers we have counts for

collaborators

5 papers

physics.soc-ph2025

Multi-Group Dynamics with Tolerant Switching in the Kolkata Paise Restaurant Problem with Dining Clubs

Akshat Harlalka, Christopher Griffin

We study the Kolkata Paise Restaurant Problem (KPRP) with multiple dining clubs, extending work in [A. Harlalka, A. Belmonte and C. Griffin, \textit{Physica A}, 620:128767, 2023].…

nlin.SI2024

Integrability of Generalised Skew-Symmetric Replicator Equations via Graph Embeddings

Matthew Visomirski, Christopher Griffin

It is known that there is a one-to-one mapping between oriented directed graphs and zero-sum replicator dynamics (Lotka-Volterra equations) and that furthermore these dynamics are…

nlin.PS2023

Spatial Dynamics of Higher Order Rock-Paper-Scissors and Generalisations

Christopher Griffin, Li Feng, Rongling Wu

We introduce and study the spatial replicator equation with higher order interactions and both infinite (spatially homogeneous) populations and finite (spatially inhomogeneous) pop…

cs.LG2023★ 1 cited

Topological Learning in Multi-Class Data Sets

Christopher Griffin, Trevor Karn, Benjamin Apple

We specialize techniques from topological data analysis to the problem of characterizing the topological complexity (as defined in the body of the paper) of a multi-class data set.…

nlin.AO2023★ 7 cited

Higher Order Dynamics in the Replicator Equation Produce a Limit Cycle in Rock-Paper-Scissors

Christopher Griffin, Rongling Wu

Recent work has shown that pairwise interactions may not be sufficient to fully model ecological dynamics in the wild. In this letter, we consider a replicator dynamic that takes b…