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Expanding Semiflows on Branched Surfaces and One-Parameter Semigroups of Operators
Expanding Semiflows Branched Surfaces One-Parameter Semigroups of Operators Dynamical Systems
2012/6/25
We consider expanding semiflows on branched surfaces. The family of transfer operators associated to the semiflow is a one-parameter semigroup of operators. The transfer operators may also be viewed a...
Minimum periods of homeomorphisms of orientable surfaces
Minimum periods homeomorphisms orientable surfaces Dynamical Systems
2012/4/17
One of the main problems of the theory of dynamical systems is the determination of the existence of periodic orbits of a self-map and more generally, the structure of the set of periods. Define the m...
Moments on Riemann surfaces and hyperelliptic Abelian integrals
Moments Riemann surfaces hyperelliptic Abelian integrals Dynamical Systems
2011/9/9
Abstract: In the present paper we solve the following different but interrelated problems: (a) the moment problem on Riemann surfaces, (b) the vanishing problem of polynomial Abelian integrals of dime...
On the number of Mordell-Weil generators for cubic surfaces
cubic surfaces rational points Mordell-Weil problem Brauer-Manin
2011/1/19
Let S be a smooth cubic surface over a field K. It is well-known that new K-rational points maybe obtained from old ones by chord and tangent constructions.