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On Some Properties of the Shift on an Infinite-Dimensional Torus
AbstractWe study the question, classical in the theory of dynamical systems, about the minimality of the shift on an infinite-dimensional torus;...
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Maximal Tori in Infinite-Dimensional Hamiltonian Systems: a Renormalisation Group Approach
We study the existence of infinite-dimensional invariant tori in a mechanical system of infinitely many rotators weakly interacting with each...
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On the Invariant Tori of Quasilinear Countable Systems of Differential Equations Defined on Infinite–Dimensional Tori
We consider a countable quasilinear system of differential equations defined on an infinite-dimensional torus. The problem is to find sufficient...
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Lie Bialgebra Structure of Derivation Lie Algebra over Quantum Torus
In this paper, all Lie bialgebra structures on the derivation Lie algebra W over a rank d ≥ 3 quantum torus associated to q are considered, where q ...
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Torus-like solutions for the Landau-de Gennes model. Part III: torus vs split minimizers
We study the behaviour of global minimizers of a continuum Landau–de Gennes energy functional for nematic liquid crystals, in three-dimensional...
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Fourier method for the Neumann problem on a torus
The Fourier method approach to the Neumann problem for the Laplacian operator in the case of a solid torus contrasts in many respects with the much...
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The Picard index of a surface with torus action
We consider normal rational projective surfaces with torus action and provide a formula for their Picard index, that means the index of the Picard...
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Heyde Theorem for Locally Compact Abelian Groups Containing No Subgroups Topologically Isomorphic to the 2-Dimensional Torus
We prove the following group analogue of the well-known Heyde theorem on a characterization of the Gaussian distribution on the real line. Let X be a...