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(Colloquium) Phanuel de Andrade Mariano 3/26
March 26 @ 3:00 pm - 4:00 pm
The Hot Spots ProblemĀ
Phanuel de Andrade Mariano
Union College
Tuesday, March 26th
3pm Rocky 312
3pm Rocky 312
Consider a perfectly insulated 1-dimensional rod, or a 2-dimensional plate, or better yet, a 3-dimensional room. Perfectly insulated means that heat cannot escape this room. The Hot Spots Problem asks about what happens to the location of the “hot spots” and “cold spots” of this insulated body over a long period of time. To understand this problem we will introduce the equation that describes the evolution of heat over time. Moreover, we will discuss what is known (and not known) about this problem. We end the talk by discussing the connection between the Hot Spots Problem and Probability theory. In particular, this connection will be through a theory of random particles called Brownian motion.