64,906 research outputs found

    What Everyone Should Know about the Copyright Law in Wonderland

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    Nondense orbits for Anosov diffeomorphisms of the 22-torus

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    Let λ\lambda denote the probability Lebesgue measure on T2{\mathbb T}^2. For any C2C^2-Anosov diffeomorphism of the 22-torus preserving λ\lambda 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 C2C^2-expanding maps of the circle.Comment: Minor typos corrected. Added more expositio

    CS 156: Introduction to Artificial Intelligence Course Redesign

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    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

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    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

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    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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