64,906 research outputs found
Nondense orbits for Anosov diffeomorphisms of the -torus
Let denote the probability Lebesgue measure on . For
any -Anosov diffeomorphism of the -torus preserving with
measure-theoretic entropy equal to topological entropy, we show that the set of
points with nondense orbits is hyperplane absolute winning (HAW). This
generalizes the result in~\cite[Theorem~1.4]{T4} for -expanding maps of
the circle.Comment: Minor typos corrected. Added more expositio
CS 156: Introduction to Artificial Intelligence Course Redesign
Poster summarizing course redesign activities for CS 156: Introduction to Artificial Intelligence.https://scholarworks.sjsu.edu/davinci_itcr2014/1016/thumbnail.jp
On circle rotations and the shrinking target properties
We generalize the monotone shrinking target property (MSTP) to the s-exponent
monotone shrinking target property (sMSTP) and give a necessary and sufficient
condition for a circle rotation to have sMSTP.
Using another variant of MSTP, we obtain a new, very short, proof of a known
result, which concerns the behavior of irrational rotations and implies a
logarithm law similar to D. Sullivan's logarithm law for geodesics.Comment: 13 pages. A new section has been added. The rest of the paper remains
the same except for some very minor revisions
CS 156: Introduction toArtificial Intelligence Textbook Alternatives
Poster summarizing cost saving textbook alternatives for CS 156: Introduction to Artificial Intelligence.https://scholarworks.sjsu.edu/davinci_tap2014/1009/thumbnail.jp
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