Saugata Ghosh

activity

20042015

most citedStrength functions, entropies and duality in weakly to strongly interacting fermionic systems

22 citations · 42 across the 9 of their papers we have counts for

collaborators

Showing math-phShow all

5 papers · 1 filter

math-ph2012★ 1 cited

Generalised Freud's equation and level densities with polynomial potential

Akshat Boobna, Saugata Ghosh

We study orthogonal polynomials with weight $exp [- N V (x)]$ , where $V (x) = \sum_{k = 1}^{d} a_{2 k} x^{2 k} /2 k$ is a polynomial of order 2d. We derive the generalised Freud's equations for…

math-ph2008

Bulk asymptotics of skew-orthogonal polynomials for quartic double well potential and universality in the matrix model

Saugata Ghosh

We derive bulk asymptotics of skew-orthogonal polynomials (sop) $π^{\bt}_{m}$, $β = 1$ , 4, defined w.r.t. the weight $exp (- 2 N V (x))$ , $V (x) = g x^{4} /4 + t x^{2} /2$ , $g > 0$ and $t < 0$ . We assum…

math-ph2007

Skew-orthogonal polynomials: the quartic case

Saugata Ghosh

We present an iterative technique to obtain skew-orthogonal polynomials with quartic weight, arising in the study of symplectic ensembles of random matrices.

math-ph2006★ 8 cited

Skew-orthogonal polynomials, differential systems and random matrix theory

Saugata Ghosh

We study skew-orthogonal polynomials with respect to the weight function $exp [- 2 V (x)]$ , with $V (x) = \sum_{K = 1}^{2 d} (u_{K} / K) x^{K}$ , $u_{2 d} > 0$ , $d > 0$ . A finite subsequence of…

math-ph2006★ 9 cited

Generalized Christoffel-Darboux formula for skew-orthogonal polynomials and random matrix theory

Saugata Ghosh

We obtain generalized Christoffel-Darboux (GCD) formula for skew-orthogonal polynomials (SOP). Using this, we present an alternative derivation of the level density and two-point f…