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By Bellow, A.; Furstenberg, H.
Using a combinatorial result of N. Hindman one can extend Jewett’s method for proving that a weakly mixing measure preserving transformation has a uniquely ergodic model to the general ergodic case. We sketch a proof of this reviewing the main steps in Jewett’s argument.
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By Kahlig, Peter
By Lehrmann, Gerhard J.
By Hickman, Robert
By Lazutkin, V. F.; Khod'kov, Yu. A.
It is shown that the hypothesis of transversality formulated by V. I. Arnol'd is not satisfied for all domains. Examples are presented of domains for which the variations of the eigenvalues of the Laplace operator for small perturbations of the domain are linearly dependent.
By Inose, H.; Mizukami, M.
By Chaillou, Jacques
PROPOSITION 1. LetAmbe a set of homogeneous polynomials of degree m in C[X1,…,Xn], such that $$ 0 < \inf \left\| {{A_m}} \right\| $$
By Burghelea, Dan
By Kubilius, K.
By Burckel, Robert B.
In this chapter we complete the preliminary investigations of Chapter I on the topology of the plane. The chief tools are the index and deformation and extension techniques. The former rests squarely on the theory of the exponential function developed in the last chapter.
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