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November 1, 2017 at 10:30 pm

Math-Biology Seminar | Three Disguises of 1-x = exp(- lambda x), Nov. 7

Chathuri Karunarathna Mudiyanselage, shown in outdoors shot

Chathuri Karunarathna Mudiyanselage

The Mathematical Biology and Dynamical Systems Seminar presents “Three Disguises of 1-x = exp(- lambda x)” on Tuesday, Nov. 7, from 3:05 to 4 p.m. in Morton 218.

The speakers are graduate students Chathuri Karunarathna Mudiyanselage, Rabi K.C., and Dr. Winfried Just from the Mathematics Department at Ohio University.

Rabi K.C.

Rabi K.C.

Abstract: When lambda > 1, the equation 1-x = exp(- lambda x) has a unique solution in the interval (0,1). This solution pops up in very different contexts, both in mathematical biology and in other areas of mathematics. In this talk, we will present three different topics where this happens: The spread of immunizing infections, Galton-Watson birth processes, and random graphs.  Are these appearances of 1-x = exp(- lambda x) unrelated to each other, or are they three manifestations of the same underlying phenomenon?

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