Christian Webb
Aalto University
37 Papers
249 Citations
Christian Webb is an academic researcher from Aalto University. The author has contributed to research in topics: Multiplicative function & Characteristic polynomial. The author has an hindex of 14, co-authored 36 publications. Previous affiliations of Christian Webb include Åbo Akademi University & University of Helsinki.
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Papers
•Posted Content
Random Hermitian Matrices and Gaussian Multiplicative Chaos
TL;DR: In this paper, it was shown that small enough powers of the absolute value of the characteristic polynomial of random Hermitian matrices, drawn from one-cut regular unitary invariant ensembles, converge in law to Gaussian multiplicative chaos measures.
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The Riemann zeta function and Gaussian multiplicative chaos: Statistics on the critical line
Eero Saksman,Christian Webb +1 more
TL;DR: In this paper, a connection between probabilistic number theory and the theory of multiplicative chaos was made, which is known to be connected to various branches of modern probability theory and mathematical physics.
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The Riemann zeta function and Gaussian multiplicative chaos: statistics on the critical line
Eero Saksman,Christian Webb +1 more
TL;DR: In this article, it was shown that if the zeta function converges to a non-trivial random generalized function, which in turn is identified as a product of a very well behaved random smooth function and a complex Gaussian multiplicative chaos distribution, then the Zeta function has an identical distribution on the mesoscopic scale.
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Random Hermitian matrices and Gaussian multiplicative chaos
TL;DR: The first and third authors wish to thank the Isaac Newton Institute for Mathematical Sciences for its hospitality during the Random Geometry program, during which this project was initiated.
How much can the eigenvalues of a random Hermitian matrix fluctuate
TL;DR: In this article, the authors study how much the eigenvalues of large Hermitian random matrices deviate from certain deterministic locations, or in other words, to investigate optimal rigidity estimates for the Eigenvalues.
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