Continuous symmetry reduced trace formulas
نویسنده
چکیده
Trace formulas relate short time dynamics (unstable periodic orbits) to long time invariant state space densities (natural measure). Higher dimensional dynamics requires inclusion of higherdimensional compact invariant sets, such as partially hyperbolic invariant tori, into trace formulas. A trace formula for a partially hyperbolic (N +1)-dimensional compact manifold invariant under a global continuous symmetry is derived here. In this extension of “periodic orbit” theory there are no or very few periodic orbits the relative periodic orbits that the trace formula has support on are almost never eventually periodic.
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تاریخ انتشار 2007