Max Lipton

activity

20162026

most citedSix variations on a theme: almost planar graphs

9 citations · 13 across the 8 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.DS2019

A lower bound on critical points of the electric potential of a knot

Max Lipton

Given a knot $K$ parametrized by $r : [0, 2 π] \to R^{3}$ , we can define the electric potential on its complement by $Φ (x) = \int_{0}^{2 π} \frac{∣ r ^{'} ( t ) ∣}{∣ x - r ( t ) ∣} d t$ . Physicis…

math.DS2019★ 1 cited

The Kuramoto model on a sphere: Explaining its low-dimensional dynamics with group theory and hyperbolic geometry

Max Lipton, Renato Mirollo, Steven H. Strogatz

We study a system of $N$ interacting particles moving on the unit sphere in $d$ -dimensional space. The particles are self-propelled and coupled all to all, and their motion is heav…