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Abstract: The arithmetics of the frequency and of the rotation number play a fun- damental role in the study of reducibility of analytic quasi-periodic cocycles which are sufficiently close to a const...
Abstract: Let H be an infinite dimensional separable Hilbert space, X a compact Hausdorff space and f : X \rightarrow X a homeomorphism which preserves a Borel ergodic measure which is positive on non...
Abstract: We define a deformation of algebras endowed with coaction of the reduced group algebras. The deformation parameter is given by a 2-cocycle over the group. We prove K-theory isomorphisms for ...
Abstract: We prove that the Lyapunov exponent of quasi-periodic cocyles with singularities behaves continuously over the analytic category. We thereby generalize earlier results, where singularities w...
The concept of topological persistence, introduced recently in computational topology, finds applications in studying a map in relation to the topology of its domain. Since its introduction, it has be...
We define for every L-infinity algebra a smooth infinity-group integrating it, and define smooth principal infinity-bundles with connection. For every L-infinity-algebra cocycle of suitable degree, w...
We define for every L-infinity algebra a smooth infinity-group integrating it, and define smooth principal infinity-bundles with connection. For every L-infinity-algebra cocycle of suitable degree, we...
Quasi-periodic cocycles with a diophantine frequency and with values in SL(2,R) are shown to be almost reducible as long as they are close enough to a constant, in the topology of k times differentia...
The final copy of this thesis has been examined by the signatories, and we find that both the content and the form meet acceptable presentation standards of scholarly work in the above mentioned disci...
We introduce a new type of generalized derivations associate with Hochschild 2-cocycles and prove that every generalized Jordan derivation of this type is a generalized derivation under certain condit...

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