My primary interest in research revolves around studying the statistical characteristics of dynamical systems, using a functional analytical approach to study the behaviour of "chaotic" dynamical systems. This method involves analysing the spectral properties of the transfer operator on suitable Banach spaces. I am also interested in studying the optimal control theory for statistical properties of chaotic dynamical systems. Additionally, I study dynamical systems from a topological point of view.
Bachelor (Honours) of Mathematics, University of Delhi
Masters (Coursework) of Mathematics, University of Delhi
Doctor of Philosophy of Mathematics, Università degli Studi di Roma Tor Vergata
Research interests
Dynamical systems
I study qualitative and quantitative statistical properties and optimal control theory for statistical properties of dynamical systems, including various chaotic systems, stochastic differential equations etc, from a transfer operator theoretic approach. I also study topological dynamics like shadowing properties of topological flows etc.