Multiplicative chaos and the characteristic polynomial of the CUE: The 𝐿¹-phase
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Publication:5113206
DOI10.1090/tran/8020zbMath1441.60008arXiv1806.01831OpenAlexW3009018969WikidataQ109553637 ScholiaQ109553637MaRDI QIDQ5113206
Eero Saksman, Christian Webb, Miika Nikula
Publication date: 3 June 2020
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.01831
Random matrices (probabilistic aspects) (60B20) Random measures (60G57) Toeplitz, Cauchy, and related matrices (15B05)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fractional Brownian motion with Hurst index \({H = 0}\) and the Gaussian unitary ensemble
- Conformal weldings of random surfaces: SLE and the quantum gravity zipper
- Analytic capacity, the Cauchy transform, and non-homogeneous Calderón-Zygmund theory
- Anisotropic growth of random surfaces in \({2+1}\) dimensions
- Random conformal weldings
- Gaussian multiplicative chaos and applications: a review
- Maximum of the characteristic polynomial of random unitary matrices
- Uniqueness of critical Gaussian chaos
- Liouville quantum gravity and KPZ
- Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities
- Emergence of a singularity for Toeplitz determinants and Painlevé V
- The characteristic polynomial of a random unitary matrix and Gaussian multiplicative chaos -- the \(L^2\)-phase
- Toeplitz determinants with merging singularities
- The isomonodromy approach to matrix models in 2D quantum gravity
- Random Hermitian matrices and Gaussian multiplicative chaos
- On the extreme values of the Riemann zeta function on random intervals of the critical line
- Subcritical multiplicative chaos for regularized counting statistics from random matrix theory
- The law of large numbers for the maximum of almost Gaussian log-correlated fields coming from random matrices
- Dominos and the Gaussian free field.
- On the maximum of the C\(\beta\)E field
- How much can the eigenvalues of a random Hermitian matrix fluctuate?
- The Fyodorov-Bouchaud formula and Liouville conformal field theory
- The Riemann zeta function and Gaussian multiplicative chaos: statistics on the critical line
- Integrability of Liouville theory: proof of the DOZZ formula
- Liouville quantum gravity and the Brownian map. I: The \(\text{QLE}(8/3,0)\) metric
- Renormalization of critical Gaussian multiplicative chaos and KPZ relation
- An elementary approach to Gaussian multiplicative chaos
- Linear functionals of eigenvalues of random matrices
- Complexity of Random Energy Landscapes, Glass Transition, and Absolute Value of the Spectral Determinant of Random Matrices
- Freezing transitions and extreme values: random matrix theory, and disordered landscapes
- On the asymptotics of a Toeplitz determinant with singularities
- Opérateurs intégraux singuliers sur certaines courbes du plan complexe
- Freezing and extreme-value statistics in a random energy model with logarithmically correlated potential
- An Introduction to Random Matrices
- On the Eigenvalues of Random Matrices
- The Maximum of the CUE Field
- Extreme values of CUE characteristic polynomials: a numerical study
- Maximum of the Riemann Zeta Function on a Short Interval of the Critical Line
- Toeplitz Determinants with Singular Generating Functions
- The Noise in the Circular Law and the Gaussian Free Field
- Path-Length and Linear Measure
- On the characteristic polynomial of a random unitary matrix
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