Fetching the paper…
Reading the bibliography…
In this paper, we investigate the extremal values of (the logarithm of) the characteristic polynomial of a random unitary matrix whose spectrum is distributed according the Circular Beta Ensemble (C$\beta$E).
A characterization of the gamma distribution
Eugene Lukacs · 1955
Earlier work this paper cites.
The asymptotic behavior of the probability of non-extinction of critical branching processes in a random environment
M. V. Kozlov · 1976
Earlier work this paper cites.
Minimal displacement of branching random walk
M. D. Bramson · 1978
Earlier work this paper cites.
Sur le chaos multiplicatif
Jean-Pierre Kahane · 1985
Earlier work this paper cites.
Fractal structure of 2 2 D-quantum gravity
V. G. Knizhnik, A. M. Polyakov, and A. B. Zamolodchikov · 1988
Earlier work this paper cites.
On the eigenvalues of random matrices
Persi Diaconis and Mehrdad Shahshahani · 1994
Earlier work this paper cites.
On random matrices from the compact classical groups
Kurt Johansson · 1997
Earlier work this paper cites.
Continuous martingales and Brownian motion
Daniel Revuz and Marc Yor · 1999
Earlier work this paper cites.
Random Matrix Theory and ζ ( 1 / 2 + i t ) \zeta(1/2+it)
J.-P. Keating and N. Snaith · 2000
Earlier work this paper cites.
On the characteristic polynomial of a random unitary matrix
N. O’Connell C.-P. Hughes, J.-P. Keating · 2001
Earlier work this paper cites.
Matrix models for circular ensembles
Rowan Killip and Irina Nenciu · 2004
Earlier work this paper cites.
Orthogonal polynomials on the unit circle. Part 1
Barry Simon · 2005
Earlier work this paper cites.
The characteristic polynomial of a random unitary matrix: a probabilistic approach
P. Bourgade, C.-P. Hughes, A. Nikeghbali, and M. Yor · 2008
Earlier work this paper cites.
Circular Jacobi ensembles and deformed Verblunsky coefficients
Paul Bourgade, Ashkan Nikeghbali, and Alain Rouault · 2009
Cited alongside, same era.
Minimal position and critical martingale convergence in branching random walks, and directed polymers on disordered trees
Yueyun Hu and Zhan Shi · 2009
Cited alongside, same era.
Eigenvalue statistics for CMV matrices: from Poisson to clock via random matrix ensembles
Rowan Killip and Mihai Stoiciu · 2009
Cited alongside, same era.
Weak convergence for the minimal position in a branching random walk: a simple proof
E. Aïdékon and Z. Shi · 2010
Cited alongside, same era.
Liouville quantum gravity and KPZ
Bertrand Duplantier and Scott Sheffield · 2011
Cited alongside, same era.
Tightness of the recentered maximum of the two-dimensional discrete Gaussian free field
Freezing transitions and extreme values: random matrix theory and disordered landscapes
Y.-V Fyodorov and J.-P. Keating · 2014
Later among the works it cites.
Gaussian multiplicative chaos and applications: a review
Rémi Rhodes and Vincent Vargas · 2014
Later among the works it cites.
Maxima of a randomized Riemann zeta function, and branching random walks
L.-P. Arguin, D. Belius, and A. J. Harper · 2015
Later among the works it cites.
Convergence of the centered maximum of log-correlated Gaussian fields
J. Ding, R. Roy, and O. Zeitouni · 2015
Later among the works it cites.
Moments of traces of Circular β \beta Ensembles
Tiefeng Jiang and Sho Matsumoto · 2015
Later among the works it cites.
Derrida’s random energy models. From spin glasses to the extremes of correlated random fields
Nicola Kistler · 2015
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Maury Bramson and Ofer Zeitouni · 2012
Cited alongside, same era.
Freezing Transition, Characteristic Polynomials of Random Matrices, and the Riemann Zeta Function
Y. V. Fyodorov, G. A. Hiary, and J. P. Keating · 2012
Cited alongside, same era.
Branching Brownian motion seen from its tip
Elie Aïdékon, Julien Berestycki, Éric Brunet, and Zhan Shi · 2013
Cited alongside, same era.
The extremal process of branching Brownian motion
Louis-Pierre Arguin, Anton Bovier, and Nicola Kistler · 2013
Cited alongside, same era.
Convergence in law of the minimum of a branching random walk
Elie Aïdékon · 2013
Cited alongside, same era.
The Seneta-Heyde scaling for the branching random walk
Elie Aidekon and Zhan Shi · 2014
Cited alongside, same era.
Poisson-Dirichlet statistics for the extremes of a log-correlated Gaussian field
Louis-Pierre Arguin and Olivier Zindy · 2014
Cited alongside, same era.
Later among the works it cites.
Maximum of a log-correlated Gaussian field
T. Madaule · 2015
Later among the works it cites.
Convergence in law for the branching random walk seen from its tip
Thomas Madaule · 2015
Later among the works it cites.
Maximum of the characteristic polynomial of random unitary matrices
Louis Pierre Arguin, David Belius, and Paul Bourgade · 2016
Closest in time.
Convergence in law of the maximum of the two-dimensional discrete Gaussian free field
Maury Bramson, Jian Ding, and Ofer Zeitouni · 2016
Closest in time.
The circular unitary ensemble and the Riemann zeta function: the microscopic landscape and a new approach to ratios
Reda Chhaibi, Joseph Najnudel, and Ashkan Nikeghbali · 2016
Closest in time.
The maximum of the CUE field
E. Paquette and O. Zeitouni · 2016
Closest in time.
Christian Webb · 2016
Closest in time.