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Nessim Sibony

University of Paris-Sud (Orsay)



Unique ergodicity for foliations



November 1, 2017
3:00 pm    PHG 646



Abstract
 

Consider the polynomial differential equation in \(\mathbb{C}^2\): \(dz/dt = P(z,w)\), \(dw/dt=Q(z,w)\). The polynomials \(P\) and \(Q\) are holomorphic, the time is complex. In order to study the global behavior of the solutions, it is convenient to consider the extension as a foliation in the projective plane.

I will discuss some recent results around the following questions. What is the ergodic theory of such systems? How do the leaves distribute in a generic case?






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