233 citations · 2.2k across the 43 of their papers we have counts for
15 papers · 1 filter
Exact Minimum Eigenvalue Distribution of an Entangled Random Pure State
Satya N. Majumdar, Oriol Bohigas, Arul Lakshminarayan
A recent conjecture regarding the average of the minimum eigenvalue of the reduced density matrix of a random complex state is proved. In fact, the full distribution of the minimum…
Bethe Ansatz in the Bernoulli Matching Model of Random Sequence Alignment
Satya N. Majumdar, Kirone Mallick, Sergei Nechaev
For the Bernoulli Matching model of sequence alignment problem we apply the Bethe ansatz technique via an exact mapping to the 5--vertex model on a square lattice. Considering the…
Finite-size effects on the dynamics of the zero-range process
Shamik Gupta, Mustansir Barma, Satya N. Majumdar
We study finite-size effects on the dynamics of a one-dimensional zero-range process which shows a phase transition from a low-density disordered phase to a high-density condensed…
Distribution of the time at which the deviation of a Brownian motion is maximum before its first-passage time
Julien Randon-Furling, Satya N. Majumdar
We calculate analytically the probability density of the time at which a continuous-time Brownian motion (with and without drift) attains its maximum before passing…
The first-passage area for drifted Brownian motion and the moments of the Airy distribution
Michael J. Kearney, Satya N. Majumdar, Richard J. Martin
An exact expression for the distribution of the area swept out by a drifted Brownian motion till its first-passage time is derived. A study of the asymptotic behaviour confirms ear…
On invariant 2x2 β-ensembles of random matrices
Pierpaolo Vivo, Satya N. Majumdar
We introduce and solve exactly a family of invariant 2x2 random matrices, depending on one parameter η, and we show that rotational invariance and real Dyson index βare not incompa…