R. Patterson

activity

20152024

most citedA large-deviations principle for all the cluster sizes of a sparse Erdős-Rényi graph

15 citations · 49 across the 8 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.PR2019

Bilinear Coagulation Equations

Daniel Heydecker, Robert I. A. Patterson

We consider coagulation equations of Smoluchowski or Flory type where the total merge rate has a bilinear form $π (y) \cdot A π (x)$ for a vector of conserved quantities $π$ , generalis…

math.PR2019★ 15 cited

A large-deviations principle for all the cluster sizes of a sparse Erdős-Rényi graph

Luisa Andreis, Wolfgang König, Robert I. A. Patterson

Let $G (N, \frac{1}{N} t_{N})$ be the Erdős-Rényi graph with connection probability $\frac{1}{N} t_{N} \sim t / N$ as $N \to \infty$ for a fixed $t \in (0, \infty)$ . We derive a large-deviatio…