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- CONTENTS 1987 - VOLUME 305 - SECTION I - N° 17
- .......... Page(s) .......... 733
- .......... Page(s) .......... 733
- Denote by Uk the Tchebichev polynomial of the second kind of degree k. Let
be a symmetric matrix with nonnegative integer entries. We show that, if the spectral radius satisfies 2, then Uk (/2) has only nonnegative integer entries for all 0. This is not true for 2.
- .......... Page(s) .......... 737
- .......... Page(s) .......... 737
- We establish the isoperimetric inequality, where u is the solution of the parabolic obstacle problem, and U is the solution of the "symmetrized" problem denotes the decreasing rearrangement of Under a suitable simple assumption, we deduce that u vanishes after a finite time.
- We present a result on weak almost periodicity for motions of nonlinear contraction semigroups in a uniformly convex Banach space. We derive (a) nonlinear strong ergodic limit theorems, and (b) the existence of almost periodic solutions to certain evolution equations.
- .......... Page(s) .......... 757
- The asymptotic study of the winding numbers of complex Brownian motion around a finite number of points is refined, which allows to obtain, for instance, the asymptotic law of additive functionals associated with the functions
- COMPTES RENDUS DE L'ACADEMIE DES SCIENCES MATHEMATIQUE
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