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Colloquium Home >>
UCCS MATHEMATICS
COLLOQUIUM
Thursday,
March 6th , 2008
12:30 p.m.-1:30 p.m.
UC Room 307
(Refreshments at 12:15 pm)
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Limit Theorems for Maximum Flows on a Lattice
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Dr. Yu Zhang
Department of Mathematics, University of Colorado at Colorado Springs
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Abstract:We independently assign a non-negative value, as a capacity for the quantity of flows per unit time, with a distribution F to each edge on the Z^d lattice. We consider the maximum flows through the edges of two disjoint sets, that is from a source to a sink, in a large cube. In this talk, we show that the ratio of the maximum flow and the size of source is asymptotic to a constant. This constant is denoted by the flow constant.
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