N. Madras

collaborators

3 papers

math.GT2026

A central limit theorem for the signatures of 2-bridge knots

Cody Baker, Moshe Cohen, Henry Dam +4

Cohen, Lowrance, Madras, and Raanes computed the average (absolute value of) signature over all 2-bridge knots with crossing number $c$ by introducing the number $s (c, σ)$ of 2-brid…

math.GT2024

Average signature and 4-genus of 2-bridge knots

Moshe Cohen, Adam M. Lowrance, Neal Madras +1

We show that the average or expected absolute value of the signatures of all 2-bridge knots with crossing number $c$ approaches $2 c / π$ . Baader, Kjuchukova, Lewark, Misev,…

math.CO2024

A Nordhaus--Gaddum problem for the spectral gap of a graph

Sooyeong Kim, Neal Madras

Let $G$ be a graph on $n$ vertices, with complement $G$ . The spectral gap of the transition probability matrix of a random walk on $G$ is used to estimate how fast the r…