Heaviness: An extension of a lemma of Yuval Peres
In a 1988 paper, Y. Peres proved that in any probability-measure preserving system {X, mu, T}, where X is compact and T is continuous, coupled with a continuous function f, there is at least one point x (which we term heavy) such that 1ni=0 n-1f&j0;Ti&parl0;x&parr0;≥ Xfdm for...
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Format: | Others |
Language: | English |
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2009
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Online Access: | http://hdl.handle.net/1911/22199 |