Hénon Renormalization
Hénon Renormalization

Marco Martens, SUNY at Stony Brook
Fine Hall 401
The geometry of strongly dissipative infinite renormalizable Hénon maps of period doubling type is surprisingly different from its onedimensional counterpart. There are universal geometrical properties. However, the Cantor attractor is not geometrically rigid. Typically, it doesn't have bounded geometry. The average Jacobian is a topological invariant of the global attractor. Although the geometry of the Cantor attractor can be deformed by changing the average Jacobian, the geometry is universal in a distributional sense.