N. K. Jana

activity

20062018

most citedContributions to Random Energy Models

6 citations · 13 across the 7 of their papers we have counts for

collaborators

7 papers

math.OA2018★ 1 cited

Contractive linear preservers of absolutely compatible pairs between C*-algebras

Nabin K. Jana, Anil K. Karn, Antonio M. Peralta

Let $a$ and $b$ be elements in the closed ball of a unital C $^{*}$ -algebra $A$ (if $A$ is not unital we consider its natural unitization). We shall say that $a$ and $b$ are domain (r…

math.OA2018

Absolutely compatibility in $M_{2}$ and ellipticity

Nabin K. Jana, Anil K. Karn

Let $a, b$ be elements in a unital C $^{*}$ -algebra with $0 \leq a, b \leq 1$ . The element $a$ is absolutely compatible with $b$ if $∣ a - b ∣ + ∣1 - a - b ∣ = 1.$ In t…

math.OA2018

Absolutely compatible pairs in a von Neumann algebra

Nabin K. Jana, Anil K. Karn, Antonio M. Peralta

Let $a, b$ be elements in a unital C $^{*}$ -algebra with $0 \leq a, b \leq 1$ . The element $a$ is absolutely compatible with $b$ if $∣ a - b ∣ + ∣1 - a - b ∣ = 1.$ In t…

math.PR2007★ 6 cited

Contributions to Random Energy Models

Nabin Kumar Jana

In this thesis, we consider several Random Energy Models. This includes Derrida's Random Energy Model (REM) and Generalized Random Energy Model (GREM) and a nonhierarchical version…

math.PR2006★ 2 cited

Large Deviations and Random Energy Models

N. K. Jana, B. V. Rao

A unified treatment for the existence of free energy in several random energy models is presented. If the sequence of distributions associated with the particle systems obeys a lar…

math.PR2006★ 4 cited

Exponential Random Energy Model