Tata Institute of Fundamental Research, Hyderabad.
Mustansir Barma is Professor Emeritus at the Tata Institute of Fundamental Research, Hyderabad. His broad research interests include the dynamics of non-equilibrium systems, phase transitions and disordered systems. His recent work on fluctuation-dominated phase ordering involves aspects of all three topics.
Session 1D — Symposium: “Some applications of probability and statistics”
Organizers: Arup Bose (ISI, Kolkata) and Kapil H Paranjape (IISER, Mohali)
Dynamics of Extremes. View Presentation
The statistics of the extreme value of a set of uncorrelated variables is well studied, and has many applications. The results fall into three universality classes, described by the Gumbel, Frechet and Weibull distributions. We will discuss how these results can change when there are correlations between variables, as in some interacting particle systems such as the zero-range process and the coarse-grained depth model of a fluctuating interface. Especially interesting is the dynamics of extremes, following the time evolution of the distribution during the process of coarsening, starting from a totally disordered, uncorrelated state, and ending with an ordered, correlated state.