Indian Statistical Institute, Delhi Centre

most citedVoter and Majority Dynamics with Biased and Stubborn Agents

20 citations

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4 papers

math.FA2020★ 4 cited

First order sensitivity analysis of symplectic eigenvalues

Hemant K. Mishra

For every $2 n \times 2 n$ positive definite matrix $A$ there are $n$ positive numbers $d_{1} (A) \leq \dots \leq d_{n} (A)$ associated with $A$ called the symplectic eigenvalues of $A .$ …

math.FA2020★ 3 cited

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…

math.FA2020★ 17 cited

Derivatives of symplectic eigenvalues and a Lidskii type theorem

Tanvi Jain, Hemant K. Mishra

Associated with every $2 n \times 2 n$ real positive definite matrix $A,$ there exist $n$ positive numbers called the symplectic eigenvalues of $A,$ and a basis of $R^{2 n}$ c…

math.PR2020★ 20 cited

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…