Gevrey-smoothness of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-017-1307-1
Abstract: This paper provides a normal form for a class of lower dimensional hyperbolic invariant tori of nearly integrable symplectic mappings with generating functions. We prove the persistence and the Gevrey-smoothness of the invariant tori under… read more here.
Keywords: nearly integrable; dimensional hyperbolic; tori nearly; lower dimensional ... See more keywords
Growth Rates of 3-dimensional Hyperbolic Coxeter Groups are Perron Numbers
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DOI: 10.4153/cmb-2017-052-5
Abstract: Abstract In this paper we consider the growth rates of 3-dimensional hyperbolic Coxeter polyhedra with at least one dihedral angle of the form $\frac{\pi }{k}$ for an integer $k\ge 7$ . Combining a classical result… read more here.
Keywords: hyperbolic coxeter; rates dimensional; growth rates; dimensional hyperbolic ... See more keywords