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 2019Show all

5 papers · 1 filter

math.PR2019★ 3 cited

Scaling limits of permutations avoiding long decreasing sequences

Christopher Hoffman, Douglas Rizzolo, Erik Slivken

We determine the scaling limit for permutations conditioned to have longest decreasing subsequence of length at most $d$ . These permutations are also said to avoid the pattern $(d+…

math.PR2019★ 15 cited

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

Noah Forman, Soumik Pal, Douglas Rizzolo +1

We introduce diffusions on a space of interval partitions of the unit interval that are stationary with the Poisson-Dirichlet laws with parameters $(α, 0)$ and $(α, α)$ . The construc…

math.PR2019★ 1 cited

Diffusions on a space of interval partitions: construction from marked Lévy processes

Noah Forman, Soumik Pal, Douglas Rizzolo +1

Consider a spectrally positive Stable( $1 + α$ ) process whose jumps we interpret as lifetimes of individuals. We mark the jumps by continuous excursions assigning "sizes" varying duri…

math.PR2019★ 8 cited

Metrics on sets of interval partitions with diversity

Noah Forman, Soumik Pal, Douglas Rizzolo +1

We first consider interval partitions whose complements are Lebesgue-null and introduce a complete metric that induces the same topology as the Hausdorff distance (between compleme…

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 $v_{i} \sim v_{j}$ …