Pure Maths Colloquium: From the Lorentz gas to random graphs: new applications of measure rigidity in statistical physics, number theory and combinatorics
23 January 2012 16:00 in CM221
Measure rigidity of flows on homogeneous spaces is a powerful tool that has recently seen many spectacular applications in number theory and mathematical physics. In this lecture I will discuss applications of measure rigidity to three seemingly unrelated problems: kinetic transport in the periodic Lorentz gas, diameters of random circulant graphs and Frobenius' coin exchange problem.
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