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This work starts with the study of those limit theorems in probability theory for which classical methods do not work.
With regard to sufficient conditions for (B), we introduce hyperbolic systems with nondegenerate characteristics, which contain strictly hyperbolic systems, and prove that the Cauchy problem for hyperbolic systems with nondegenerate characteristics is well posed for any lower order term.
In these notes, we provide a summary of recent results on the cohomological properties of compact complex manifolds not endowed with a Kahler structure. On the one hand, the large number of developed analytic techniques makes it possible to prove strong cohomological properties for compact Kahler manifolds.
These lecture notes provide a fresh approach to investigating singularly perturbed systems using asymptotic and geometrical techniques.
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