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pro vyhledávání: '"Basor, Estelle"'
Autor:
Morrison, Rebecca, Basor, Estelle
Consider $\boldsymbol X \sim \mathcal{N}(\boldsymbol 0, \boldsymbol \Sigma)$ and $\boldsymbol Y = (f_1(X_1), f_2(X_2),\dots, f_d(X_d))$. We call this a diagonal transformation of a multivariate normal. In this paper we compute exactly the mean vector
Externí odkaz:
http://arxiv.org/abs/2407.00240
Autor:
Basor, Estelle, Morrison, Rebecca
Solutions to most nonlinear ordinary differential equations (ODEs) rely on numerical solvers, but this gives little insight into the nature of the trajectories and is relatively expensive to compute. In this paper, we derive analytic solutions to a c
Externí odkaz:
http://arxiv.org/abs/2401.02401
Autor:
Basor, Estelle, Conrey, Brian
Products of shifted characteristic polynomials, and ratios of such products, averaged over the classical compact groups are of great interest to number theorists as they model similar averages of L-functions in families with the same symmetry type as
Externí odkaz:
http://arxiv.org/abs/2306.13635
Autor:
Basor, Estelle, Morrison, Rebecca
Publikováno v:
In Linear Algebra and Its Applications 15 September 2024 697:561-582
For a multivariate normal distribution, the sparsity of the covariance and precision matrices encodes complete information about independence and conditional independence properties. For general distributions, the covariance and precision matrices re
Externí odkaz:
http://arxiv.org/abs/2107.04136
We prove the analogue of the strong Szeg{\H o} limit theorem for a large class of bordered Toeplitz determinants. In particular, by applying our results to the formula of Au-Yang and Perk \cite{YP} for the next-to-diagonal correlations $\langle \sigm
Externí odkaz:
http://arxiv.org/abs/2011.14561
Autor:
Basor, Estelle, Pickrell, Doug
In the prequel to this paper, we proved that for a $SU(2,\mathbb C)$ valued loop having the critical degree of smoothness (one half of a derivative in the $L^2$ Sobolev sense), the following statements are equivalent: (1) the Toeplitz and shifted Toe
Externí odkaz:
http://arxiv.org/abs/2009.14267
Autor:
Basor, Estelle, Bleher, Pavel, Buckingham, Robert, Grava, Tamara, Its, Alexander, Its, Elizabeth, Keating, Jonathan P.
We establish a representation of the joint moments of the characteristic polynomial of a CUE random matrix and its derivative in terms of a solution of the sigma-Painleve V equation. The derivation involves the analysis of a formula for the joint mom
Externí odkaz:
http://arxiv.org/abs/1811.00064
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