6 citations · 8 across the 5 of their papers we have counts for
6 papers
Dedieu-Shub Measures
Joshua Paik
This paper introduces Dedieu-Shub measures and surveys their appearance in the literature.
The Single Ring Theorem and a Question of Shub
Joshua Paik
Given an orthogonally invariant probability measure on , Mike Shub asked whether the average product of the top eigenvalues in the ensemble can be lower bound…
Completely Integrable Replicator Dynamics Associated to Competitive Networks
Josh Paik, Christopher Griffin
The replicator equations are a family of ordinary differential equations that arise in evolutionary game theory, and are closely related to Lotka-Volterra. We produce an infinite f…
Betti Curves of Rank One Symmetric Matrices
Carina Curto, Joshua Paik, Igor Rivin
Betti curves of symmetric matrices were introduced in (Giusti et. al., 2015) as a new class of matrix invariants that depend only on the relative ordering of matrix entries. These…
Bibliometric Analysis of Senior US Mathematics Faculty
Joshua Paik, Igor Rivin
We introduce a methodology to analyze citation metrics across fields of Mathematics. We use this methodology to collect and analyze the MathSciNet profiles of Full Professors of Ma…
Data Analysis of the Responses to Professor Abigail Thompson's Statement on Mandatory Diversity Statements
Joshua Paik, Igor Rivin
An opinion piece by Abigail Thompson in the Notices of the American Mathematical Society has engendered a lot of discussion, including three open letters with over 1400 signatures.…