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Publications Influence

Characterising long-term covid-19: a rapid living systematic review

- M. Michelen, L. Manoharan, +11 authors C. Stavropoulou
- Medicine
- medRxiv
- 9 December 2020

Objective To understand the frequency, profile, and duration of persistent symptoms of covid-19 and to update this understanding as new evidence emerges. Design: A living systematic review produced… Expand

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Analyticity for classical gasses via recursion

- M. Michelen, Will Perkins
- Mathematics, Physics
- 3 August 2020

We give a new criterion for a classical gas with a repulsive pair potential to exhibit uniqueness of the infinite volume Gibbs measure and analyticity of the pressure. Our improvement on the bound… Expand

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Central limit theorems and the geometry of polynomials

- M. Michelen, Julian Sahasrabudhe
- Mathematics
- 23 August 2019

Let $X \in \{0,\ldots,n \}$ be a random variable, with mean $\mu$ and standard deviation $\sigma$ and let \[f_X(z) = \sum_{k} \mathbb{P}(X = k) z^k, \] be its probability generating function.… Expand

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Central limit theorems from the roots of probability generating functions

- M. Michelen, Julian Sahasrabudhe
- Mathematics
- 20 April 2018

For each $n$, let $X_n \in \{0,\ldots,n\}$ be a random variable with mean $\mu_n$, standard deviation $\sigma_n$, and let \[ P_n(z) = \sum_{k=0}^n \mathbb{P}( X_n = k) z^k ,\] be its probability… Expand

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A Short Note on the Average Maximal Number of Balls in a Bin

- M. Michelen
- Mathematics, Computer Science
- J. Integer Seq.
- 22 May 2019

TLDR

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The frog model on Galton-Watson trees

- M. Michelen, J. Rosenberg
- Mathematics
- 6 October 2019

We consider an interacting particle system on trees known as the frog model: initially, a single active particle begins at the root and i.i.d. $\mathrm{Poiss}(\lambda)$ many inactive particles are… Expand

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Maximum entropy and integer partitions

- Gweneth McKinley, M. Michelen, Will Perkins
- Mathematics
- 28 December 2020

We derive asymptotic formulas for the number of integer partitions with given sums of jth powers of the parts for j belonging to a finite, non-empty set J ⊂ N. The method we use is based on the… Expand

Asymptotic bounds on graphical partitions and partition comparability

- Stephen Melczer, M. Michelen, S. Mukherjee
- Mathematics
- 28 March 2020

An integer partition is called graphical if it is the degree sequence of a simple graph. We prove that the probability that a uniformly chosen partition of size $n$ is graphical decreases to zero… Expand

Quenched Survival of Bernoulli Percolation on Galton-Watson Trees

- M. Michelen, R. Pemantle, J. Rosenberg
- Mathematics
- 9 May 2018

We explore the survival function for percolation on Galton-Watson trees. Letting $g(T,p)$ represent the probability a tree $T$ survives Bernoulli percolation with parameter $p$, we establish several… Expand

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PR ] 3 J un 2 01 8 Critical Percolation and the Incipient Infinite Cluster on Galton-Watson Trees

- M. Michelen
- 2018

We consider critical percolation on Galton-Watson trees and prove quenched analogues of classical theorems of critical branching processes. We show that the probability critical percolation reaches… Expand