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This paper deals with the veri cation and the synthesis of polytopic invariant sets for polynomial dynamical systems. An invariant set of a dynamical system is a subset of the state space such that ...
We propose a system of ordinary differential equations which defines Jacobi’s theta-constant series. The relations of this system to the classical Darboux–Halphen equations and equations introduced by...
We prove that, under certain conditions, uniform weak mixing (to zero)of the bounded sequences in Banach space implies uniform weak mixing of its tensor product. Moreover, we prove that ergodicity of ...

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