Douglas Rizzolo

activity

20062026

most citedDiffusions on a space of interval partitions: Poisson-Dirichlet stationary distributions

15 citations · 79 across the 26 of their papers we have counts for

collaborators

Showing math.COShow all

4 papers · 1 filter

math.CO2019

Determinants of Seidel matrices and a conjecture of Ghorbani

Douglas Rizzolo

Let $G_{n}$ be a simple graph on $V_{n} = {v_{1}, \dots, v_{n}}$ . The Seidel matrix $S (G_{n})$ of $G_{n}$ is the $n \times n$ matrix whose $(ij)$ 'th entry, for $i \neq = j$ is $- 1$ if $v_{i} \sim v_{j}$ …

math.CO2017★ 2 cited

Asymptotic distribution of fixed points of pattern-avoiding involutions

Samuel Miner, Douglas Rizzolo, Erik Slivken

For a variety of pattern-avoiding classes, we describe the limiting distribution for the number of fixed points for involutions chosen uniformly at random from that class. In parti…

math.CO2016★ 11 cited

Fixed points of 321-avoiding permutations

Christopher Hoffman, Douglas Rizzolo, Erik Slivken

We describe the distribution of the number and location of the fixed points of permu- tations that avoid the pattern 321 via a bijection with rooted plane trees on n + 1 vertices.…

math.CO2009

A Tree Sperner Lemma

Andrew Niedermaier, Douglas Rizzolo, Francis Edward Su

In this paper we prove a combinatorial theorem for finite labellings of trees, and show that it is equivalent to a theorem for finite covers of metric trees and a fixed point theor…