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Totally Reflected Groups
(2016-05-13)
A group G is totally reflected if it has a generating set S such that each edge in the Cayley graph Gamma(G,S) is inverted by some color-preserving reflection on the graph. For example, we will show that Coxeter groups and ...
ON THE EXISTENCE OF KAM TORI FOR PRESYMPLECTIC VECTOR FIELDS
(2016-05)
We prove the existence of a torus that is invariant with respect to the flow of a presymplectic vector field found in a family of presymplectic vector fields. Moreover, the flow on this invariant torus is conjugate to a ...