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Friday, November 3, 2017 at 3:30pm
Two empirically observed laws of river geomorphology are the Hack's law and the Horton-Strahler ordering. Hack's law says that the drainage area of a river network up to a point of its divide is proportional to a power of the length of the river till its divide. Horton-Strahler ordering gives a weightage of the river vis-a-vis its tributaries. We study these laws for a mathematical model of river networks known as the Howard's model. The approach is via the Brownian web, which is realized as the diffusive scaling of Howard's model. (This is a joint work with Kumarjit Saha and Anish Sarkar.)
Rahul Roy is a professor at the Indian Statistical Institute, New Delhi. He works in probability theory and, more particularly, in percolation theory and random graphs. He is also interested in the history of mathematics. He is a fellow of the Indian Academy of Sciences, and he obtained his Ph.D. from Cornell University.