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Titlebook: European Congress of Mathematics; Budapest, July 22–26 A. Balog,G. O. H. Katona,D. Sza’sz Conference proceedings 1998 Springer Basel AG 199

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https://doi.org/10.1007/978-3-663-04685-1in natural and man-made materials, and often the microstructure optimizes a material’s properties (maximum strength at given weight, minimal energy, maximum or minimum permeability, … ). Some materials can change their internal microstructure and hence their properties in response to external influe
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Die Zweidimensionale Laplace-Transformationof up-to-date results in this area we enumerate equivalent conditions of non-uniform hyperbolicity for some unimodal maps of the interval; they are all equivalent to a Collet-Eckmann condition..By non-uniform hyperbolicity we mean that the derivatives for iterates are separated from one on some subs
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https://doi.org/10.1007/978-3-642-37094-6 semisimple algebraic group defned over a field .. It is well known that the algebraic variety . is unirational over ., i.e., the field .(G) of rational functions on . is contained in a purely transcendental extension of . (see [DG], Exp.XIV]).
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https://doi.org/10.1007/978-3-662-36830-5mensional dynamical systems may be applied in the world of infinite dimensional evolution equations. In this case the tool is the so-called Birkhoff normal form of Hamiltonian mechanics, which allows Hamiltonian systems near an equilibrium to be viewed as small perturbations of integrable systems. I
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https://doi.org/10.1007/978-3-662-26006-7 hundred years, is still not clear. For systems of elastic hard balls on a torus, however, Yakov Sinai, in 1963, [Sin(1963)] gave a stronger, and at the same time mathematically rigorous, version of Boltzmann’s hypothesis: .... Boltzmann used his ergodic hypothesis when laying the foundations of sta
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,Randwertaufgaben der Elastizitätstheorie,table the atomic radius is nearly constant. I shall in my lecture present a mathematical result, that, to some extent, explains this very important feature. In the spirit of the congress I will show how many branches of mathematics need to be united to understand the structure of large atoms. Among
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