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13 papers · 2 filters
How many eigenvalues of a Gaussian random matrix are positive?
Satya N. Majumdar, Céline Nadal, Antonello Scardicchio +1
We study the probability distribution of the index , i.e., the number of positive eigenvalues of an Gaussian random matrix. We show analytically that, f…
Critical interfaces and duality in the Ashkin Teller model
Marco Picco, Raoul Santachiara
We report on the numerical measures on different spin interfaces and FK cluster boundaries in the Askhin-Teller (AT) model. For a general point on the AT critical line, we find tha…
Statistical Curse of the Second Half Rank
Jean Desbois, Stephane Ouvry, Alexios Polychronakos
In competitions involving many participants running many races the final rank is determined by the score of each participant, obtained by adding its ranks in each individual race.…
Perturbation Theory for Fractional Brownian Motion in Presence of Absorbing Boundaries
Kay Jörg Wiese, Satya N. Majumdar, Alberto Rosso
Fractional Brownian motion is a Gaussian process x(t) with zero mean and two-time correlations <x(t)x(s)> ~ t^{2H} + s^{2H} - |t-s|^{2H}, where H, with 0<H<1 is called the Hurst ex…
Strong-Coupling Theory of Counter-ions at Charged Plates
L. Samaj, E. Trizac
We present an analytical approach to the strong coupling regime of similarly and highly charged plates in the presence of counter-ions. The procedure is physically transparent and…
Ballistic deposition patterns beneath a growing KPZ interface
Konstantin Khanin, Sergei Nechaev, Gleb Oshanin +2
We consider a (1+1)-dimensional ballistic deposition process with next-nearest neighbor interaction, which belongs to the KPZ universality class, and introduce for this discrete mo…