The many faces of the stochastic zeta function
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[1] Benedek Valk'o,et al. Palm measures for Dirac operators and the Sine beta process , 2022, 2207.10626.
[2] B'alint Vir'ag,et al. Uniform point variance bounds in classical beta ensembles , 2019, Random Matrices: Theory and Applications.
[3] S. Shreve,et al. Stochastic differential equations , 1955, Mathematical Proceedings of the Cambridge Philosophical Society.
[4] Elliot Paquette,et al. The maximum deviation of the $\text{Sine}_\beta$ counting process , 2018 .
[5] Elliot Paquette,et al. The maximum deviation of the Sine$_\beta$ counting process , 2018, 1801.08989.
[6] A. Nikeghbali,et al. The Limiting Characteristic Polynomial of Classical Random Matrix Ensembles , 2017, Annales Henri Poincaré.
[7] S. Sodin. On the critical points of random matrix characteristic polynomials and of the Riemann $\xi$-function , 2016, 1611.10037.
[8] B. Virág,et al. The Sine$$_\beta $$β operator , 2016, 1604.04381.
[9] A. Nikeghbali,et al. The circular unitary ensemble and the Riemann zeta function: the microscopic landscape and a new approach to ratios , 2014, 1410.1440.
[10] M. Aizenman,et al. On the ubiquity of the Cauchy distribution in spectral problems , 2013, 1312.7769.
[11] B. Virág,et al. The Scaling Limit of the Critical One-Dimensional Random Schrödinger Operator , 2012, Communications in Mathematical Physics.
[12] B. Virág,et al. The Scaling Limit of the Critical One-Dimensional Random Schrödinger Operator , 2011, 1107.3058.
[13] R. Killip,et al. Autocorrelations of the characteristic polynomial of a random matrix under microscopic scaling , 2010, 1004.1623.
[14] A. Guionnet,et al. An Introduction to Random Matrices , 2009 .
[15] R. Killip,et al. Eigenvalue statistics for CMV matrices: From Poisson to clock via random matrix ensembles , 2009 .
[16] B'alint Vir'ag,et al. Large gaps between random eigenvalues. , 2008, 0811.0007.
[17] P. Bourgade,et al. Circular Jacobi Ensembles and Deformed Verblunsky Coefficients , 2008, 0804.4512.
[18] Bálint Virág,et al. Continuum limits of random matrices and the Brownian carousel , 2007, 0712.2000.
[19] P. Forrester. A Random Matrix Decimation Procedure Relating β = 2/(r + 1) to β = 2(r + 1) , 2007, 0711.1914.
[20] M. Yor,et al. Exponential functionals of Brownian motion, II: Some related diffusion processes , 2005, math/0511519.
[21] B. Simon,et al. Orthogonal polynomials on the unit circle , 2004 .
[22] R. Killip,et al. Matrix models for circular ensembles , 2004, math/0410034.
[23] A. Borodin,et al. Averages of characteristic polynomials in random matrix theory , 2004, math-ph/0407065.
[24] F. Gesztesy,et al. Erratum: (Modified) Fredholm Determinants for Operators with Matrix-Valued Semi-Separable Integral Kernels Revisited , 2004 .
[25] F. Gesztesy,et al. (Modified) Fredholm Determinants for Operators with Matrix-Valued Semi-Separable Integral Kernels Revisited , 2003, math/0312267.
[26] M. J. Cantero,et al. Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle , 2002, math/0204300.
[27] Yurii Lyubarskii,et al. Lectures on entire functions , 1996 .
[28] C. Tracy,et al. Introduction to Random Matrices , 1992, hep-th/9210073.
[29] B. Øksendal. Stochastic differential equations : an introduction with applications , 1987 .
[30] David M. Miller,et al. Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55) , 1965 .
[31] B. Levin,et al. Distribution of zeros of entire functions , 1964 .
[32] L. D. Branges,et al. Some Hilbert spaces of entire functions , 1959 .
[33] Elliot Paquette,et al. The maximum deviation of the Sine β counting process , 2018 .
[34] B. Virág,et al. The Sine β operator , 2016 .
[35] Kenneth F. Kelton,et al. The Classical Theory , 2010 .
[36] H. Woracek,et al. Canonical Differential Equations of Hilbert-Schmidt Type , 2007 .
[37] Israel Gohberg,et al. Traces and determinants of linear operators , 1996 .
[38] P. Protter. Stochastic integration and differential equations , 1990 .
[39] D. Dufresne. The Distribution of a Perpetuity, with Applications to Risk Theory and Pension Funding , 1990 .
[40] B. Øksendal. Stochastic Differential Equations , 1985 .
[41] B. Simon. Trace ideals and their applications , 1979 .
[42] E. Coddington,et al. Spectral theory of ordinary differential operators , 1975 .
[43] A. Reddy,et al. On the distribution of zeros of entire functions , 1974 .
[44] Louis de Branges,et al. Hilbert spaces of entire functions , 1968 .