Publications | Pierpaolo VIVO

Journal Papers: refereed

S. N. Majumdar, G. Schehr, D. Villamaina and P. Vivo
Large deviations of the top eigenvalue of large Cauchy random matrices
J. Phys. A: Math. Theor. 46, 022001 (2013)
R. Allez, J.-P. Bouchaud, S. N. Majumdar and P. Vivo
Invariant -Wishart ensembles, crossover densities and asymptotic corrections to the Marcenko-Pastur law
J. Phys. A: Math. Theor. 46, 015001 (2013)
S. N. Majumdar and P. Vivo
Number of relevant directions in Principal Component Analysis and Wishart random matrices
Phys. Rev. Lett. 108, 200601 (2012)
S. Pigolotti, S. Bernhardsson, J. Juul, G. Galster and P. Vivo
Equilibrium strategy and population-size effects in lowest unique bid auctions
Phys. Rev. Lett. 108, 088701 (2012)
K. Damle, S. N. Majumdar, V. Tripathi and P. Vivo
Phase transitions in the distribution of the Andreev conductance of superconductor-metal junctions with multiple transverse modes
Phys. Rev. Lett. 107, 177206 (2011)
G. Akemann and P. Vivo
Compact smallest eigenvalue expressions in Wishart-Laguerre ensembles with or without fixed-trace
J. Stat. Mech. P05020 (2011)
G. Livan and P. Vivo
Moments of Wishart-Laguerre and Jacobi ensembles of random matrices:application to the quantum transport problem in chaotic cavities
Acta Physica Polonica B 42, 1081 (2011)
C. Nadal, S.N. Majumdar, A. Scardicchio and P. Vivo
How many eigenvalues of a Gaussian random matrix are positive?
Phys. Rev. E 83, 041105 (2011)
P. Vivo
Largest Schmidt eigenvalue of random pure states and conductance distribution in chaotic cavities
J. Stat. Mech. P01022 (2011)
C. Carre’, M. Deneufchatel, J.-G. Luque and P. Vivo
Asymptotics of Selberg-like integrals: the unitary case and Newton’s interpolation formula
J. Math. Phys. 51, 123516 (2010)
P. Vivo
Entangled random pure states with orthogonal symmetry: exact results
J. Phys. A: Math. Theor. 43, 405206 (2010)
J.-G. Luque and P. Vivo
Nonlinear Random Matrix Statistics, symmetric functions and hyperdeterminants
J. Phys. A: Math. Theor. 43, 085213 (2010)
P. Vivo, S.N. Majumdar and O. Bohigas
Probability distributions of Linear Statistics in Chaotic Cavities and associated phase transitions
Phys. Rev. B 81, 104202 (2010)
G. Akemann, J. Fischmann and P. Vivo
Universal Correlations and Power-Law Tails in Financial Covariance Matrices
Physica A 389, 2566 (2010)
S.N. Majumdar, C. Nadal, A. Scardicchio and P. Vivo
Index Distribution of Gaussian Random Matrices
Phys. Rev. Lett. 103, 220603 (2009)
R. Potestio, F. Caccioli and P. Vivo
Random Matrix approach to collective behaviour and universality in protein dynamics
Phys. Rev. Lett. 103, 268101 (2009)
F. Caccioli, M. Marsili and P. Vivo
Eroding market stability by proliferation of financial instruments
Eur. Phys. J. B 71, 467 (2009)
A.Y. Abul-Magd, G. Akemann and P. Vivo
Superstatistical generalisations of Wishart-Laguerre ensembles of random matrices
J. Phys. A: Math. Theor. 42, 175207 (2009)
G. Akemann and P. Vivo
Power-law deformation of Wishart-Laguerre ensemble of random matrices
J. Stat. Mech. P09002 (2008)
P. Vivo, S.N. Majumdar and O. Bohigas
Distributions of Conductance and Shot Noise and Associated Phase Transitions
Phys. Rev. Lett. 101, 216809 (2008)
P. Vivo and E. Vivo
Transmission Eigenvalue Densities and Moments in Chaotic Cavities from Random Matrix Theory
J. Phys. A: Math. Theor. 41(12), 122004 (2008)
P. Vivo and S.N. Majumdar
On invariant 2 x 2 Β-ensembles of random matrices
Physica A 387, 4839 (2008)
P. Vivo, S.N. Majumdar and O. Bohigas
Large deviations of the maximum eigenvalue in Wishart random matrices
J. Phys. A: Math. Theor. 40(16), 4317 (2007)
P. Vivo, S.N. Majumdar and O. Bohigas
Large deviations and Random Matrices (proceedings of ESF Workshop in Krakow, 2-6 May 2007)
Acta Physica Polonica 38, 4139 (2007).
P. Vivo, M. Casartelli, L. Dall’Asta and A. Vezzani
On a class of rational matrices and interpolating polynomials related to the discrete Laplace operator
Note di Matematica 28, 1 (2008)
M. Casartelli, L. Dall’Asta, A. Vezzani and P. Vivo
Dynamical Invariants in the Deterministic Fixed-Energy Sandpile
Eur. Phys. J. B 52, 91 (2006)

Journal Papers: submitted for publication

D. Villamaina and P. Vivo
Statistics of entanglement production in a chaotic dot with non-ideal contacts
submitted to Phys. Rev. Lett. – online at [arXiv:1207.4623] (2012)