Researcher profile · Semantic Scholar

Marcus Michelen

h-index: 10
Works: 39
Citations: 291

Most-cited papers

Central limit theorems and the geometry of polynomials
Marcus Michelen, J. Sahasrabudhe
2019Journal of the European Mathematical Society (Print)32 citations Open access
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A new lower bound for the Ramsey numbers $R(3,k)$
Marcelo Campos, Matthew Jenssen, Marcus Michelen, J. Sahasrabudhe
202528 citations
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The singularity probability of a random symmetric matrix is exponentially small
Marcelo Campos, Matthew Jenssen, Marcus Michelen, J. Sahasrabudhe
2021Journal of The American Mathematical Society28 citations Open access
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Direct Design of Biquad Filter Cascades with Deep Learning by Sampling Random Polynomials
J. Colonel, C. Steinmetz, Marcus Michelen, J. Reiss
2021IEEE International Conference on Acoustics, Speech, and Signal Processing26 citations
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A new lower bound for sphere packing
Marcelo Campos, Matthew Jenssen, Marcus Michelen, J. Sahasrabudhe
202323 citations
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Central limit theorems from the roots of probability generating functions
Marcus Michelen, J. Sahasrabudhe
2018Advances in Mathematics22 citations Open access
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Zeros of a growing number of derivatives of random polynomials with independent roots
Marcus Michelen, Xuan-Truong Vu
202220 citations
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Almost sure behavior of the zeros of iterated derivatives of random polynomials
Marcus Michelen, Xuan-Truong Vu
2023Electronic Communications in Probability14 citations Open access
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Singularity of random symmetric matrices revisited
Marcelo Campos, Matthew Jenssen, Marcus Michelen, J. Sahasrabudhe
202014 citations Open access
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The least singular value of a random symmetric matrix
Marcelo Campos, Matthew Jenssen, Marcus Michelen, J. Sahasrabudhe
2022Forum of Mathematics, Pi13 citations Open access
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Optimal mixing of the down-up walk on independent sets of a given size
Vishesh Jain, Marcus Michelen, H. Pham, T. Vuong
2023IEEE Annual Symposium on Foundations of Computer Science9 citations Open access
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Random polynomials: the closest roots to the unit circle.
Marcus Michelen, J. Sahasrabudhe
20208 citations
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Real roots near the unit circle of random polynomials
Marcus Michelen
20207 citations Open access
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A Polynomial Improvement for the Odd Cycle–Complete Ramsey Numbers
Marcelo Campos, Matthew Jenssen, Marcus Michelen, Florian Pfender +1 more
2025Combinatorica6 citations Open access
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Limit law for root separation in random polynomials
Marcus Michelen, O. Yakir
2025Advances in Mathematics6 citations Open access
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Fluctuations in the logarithmic energy for zeros of random polynomials on the sphere
Marcus Michelen, O. Yakir
2024Probability theory and related fields6 citations Open access
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Asymptotic Bounds on Graphical Partitions and Partition Comparability
S. Melczer, Marcus Michelen, Somabha Mukherjee
20206 citations Open access
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Quasipolynomial-time algorithms for Gibbs point processes
Matthew Jenssen, Marcus Michelen, M. Ravichandran
2022Combinatorics, probability & computing5 citations Open access
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The Binomial Random Graph is a Bad Inducer
Vishesh Jain, Marcus Michelen, Fan Wei
2023Random Structures & Algorithms3 citations Open access
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A characterization of polynomials whose high powers have non-negative coefficients
Marcus Michelen, J. Sahasrabudhe
2019Discrete Analysis3 citations Open access
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The random stable roommates problem typically has no solution
Byron Chin, Marcus Michelen
20262 citations
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A simple proof of local universality for roots of Kac polynomials
Marcus Michelen, O. Yakir
20252 citations
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Entangled States are Typically Incomparable
Vishesh Jain, Matthew Kwan, Marcus Michelen
2024Communications in Mathematical Physics2 citations Open access
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A Short Note on the Average Maximal Number of Balls in a Bin
Marcus Michelen
2019Journal of Integer Sequences2 citations
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The largest $K_r$-free set of vertices in a random graph
T. Bohman, Marcus Michelen, D. Mubayi
20261 citations
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Law of large numbers for the discriminant of random polynomials
Marcus Michelen, O. Yakir
20251 citations
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Convergent points for random power series on the unit circle
Marcus Michelen, Mehtaab Sawhney
20251 citations
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Quasipolynomial-time algorithms for repulsive Gibbs point processes
Matthew Jenssen, Marcus Michelen, M. Ravichandran
2022arXiv.org1 citations Open access
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Anti-concentration of random variables from zero-free regions
Marcus Michelen, J. Sahasrabudhe
20211 citations
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Comparability of random permutations in the strong Bruhat order
Nicholas Christo, Marcus Michelen
20260 citations
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A simple proof of local universality for roots of Kac polynomials
Marcus Michelen, O. Yakir
2026Proceedings of the American Mathematical Society0 citations Open access
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On random locally flat-foldable origami
Thomas C. Hull, Marcus Michelen, Corrine Yap
2025arXiv.org0 citations
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Realizability of hypergraphs and high-dimensional contingency tables with random degrees and marginals
Nicholas Christo, Marcus Michelen
20240 citations
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On random polynomials with an intermediate number of real roots
Marcus Michelen, Sean O'Rourke
20230 citations
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Fluctuations in the logarithmic energy for zeros of random polynomials on the sphere
Marcus Michelen, O. Yakir
20230 citations
Semantic Scholar
University of Birmingham Singularity of random symmetric matrices revisited
Marcelo Campos, Matthew Jenssen, Marcus Michelen, J. Sahasrabudhe
20210 citations
Semantic Scholar
Sums of random polynomials with differing degrees
I. Kraus, Marcus Michelen, Sean O'Rourke
20210 citations
Semantic Scholar
Notes for Graduate Student Seminar on Random Graphs and Their Zero-One Law
Marcus Michelen
20170 citations
Semantic Scholar
Notes for Talk on The Cap Set Problem and on Ellenberg and Gijswijt ’ s Recent Results
Marcus Michelen
20160 citations
Semantic Scholar

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