IISER Pune
INDIAN INSTITUTE OF SCIENCE EDUCATION AND RESEARCH (IISER) PUNE
where tomorrow’s science begins today
An Autonomous Institution, Ministry of Human Resource Development, Govt. of India
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Seminars and Colloquia

Mathematics

Regenerative Stochastic sequences and processes and applications to Monte Carlo procedures,Title2: Polynomial formula for sums of powers of integers 
 
Mon, Aug 21, 2017,   02:30 PM to 03:30 PM at Madhava Hall

Prof. Krishna B. Athreya
Distinguished Professor Emeritus, Iowa State University

In this talk two topics will be covered. One of them will introduce the concept of regenerative sequences and processes of random variables and illustrate them with applications to Monte carlo procedures for estimating integrals and sums with respect to infinite measures. This will be a research topic.

Abstract: This will be at the undergraduate level and is based on a paper in Resonance. It gives an explicit formula for sums of powers of integers generalizing the cases of k = 1, 2, 3 that one works out in high school.

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