Marcus Michelen

activity

20182026

most citedA new lower bound for sphere packing

4 citations · 7 across the 15 of their papers we have counts for

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Showing 2019Show all

3 papers · 1 filter

math.CA2019

A characterization of polynomials whose high powers have non-negative coefficients

Marcus Michelen, Julian Sahasrabudhe

Let $f \in R [x]$ be a polynomial with real coefficients. We say that $f$ is eventually non-negative if $f^{m}$ has non-negative coefficients for all sufficiently large $m \i…

math.PR2019

Central limit theorems and the geometry of polynomials

Marcus Michelen, Julian Sahasrabudhe

Let $X \in {0, \dots, n}$ be a random variable, with mean $μ$ and standard deviation $σ$ and let \[f_X(z) = \sum_{k} \mathbb{P}(X = k) z^k, \] be its probability generating funct…

math.CO2019★ 2 cited

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

Marcus Michelen

We analyze the asymptotic behavior of the average maximal number of balls in a bin obtained by throwing uniformly at random $r$ balls without replacement into $n$ bins, $T$ times.…