Article ID Journal Published Year Pages File Type
4615717 Journal of Mathematical Analysis and Applications 2014 15 Pages PDF
Abstract

Given an expanding interval map, we consider sets of points whose forward orbits are bounded away from a given point. It is shown that such sets are 1/2-winning in the sense of Schmidt's game for a class of expanding interval maps including the Gauss transformation and all beta transformations. This improves upon several results dating back to a work of W. Schmidt.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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