20 citations
4 papers
First order sensitivity analysis of symplectic eigenvalues
Hemant K. Mishra
For every positive definite matrix there are positive numbers associated with called the symplectic eigenvalues of …
A Szegő type theorem and distribution of symplectic eigenvalues
Rajendra Bhatia, Tanvi Jain, Ritabrata Sengupta
We study the properties of stationary G-chains in terms of their generating functions. In particular, we prove an analogue of the Szegő limit theorem for symplectic eigenvalues, de…
Derivatives of symplectic eigenvalues and a Lidskii type theorem
Tanvi Jain, Hemant K. Mishra
Associated with every real positive definite matrix there exist positive numbers called the symplectic eigenvalues of and a basis of c…
Voter and Majority Dynamics with Biased and Stubborn Agents
Arpan Mukhopadhyay, Ravi R. Mazumdar, Rahul Roy
We study binary opinion dynamics in a fully connected network of interacting agents. The agents are assumed to interact according to one of the following rules: (1) Voter rule: An…