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Entropy, homology and semialgebraic geometry [after Y. Yomdin]. (English) Zbl 0611.58041
Sémin. Bourbaki, Vol. 1985/86, 38ème année, Astérisque 145-146, 225-240, Exp. No. 663 (1987).
[For the entire collection see Zbl 0601.00002.]
In this report the significance and proofs of the recent results of Y. Yomdin [Isr. J. Math. 57, 285–300 (1987; Zbl 0641.54036), Isr. J. Math. 57, 301–317 (1987; Zbl 0641.54037)] on entropy of differentiable self-maps of a manifold and its relation to growth in volume and in homology are explained.
Reviewer: H.Knörrer

MSC:
37A35 Entropy and other invariants, isomorphism, classification in ergodic theory
54C70 Entropy in general topology
28D20 Entropy and other invariants
14E15 Global theory and resolution of singularities (algebro-geometric aspects)
14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
14Pxx Real algebraic and real-analytic geometry
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