Publications of Jimmy Tseng

Preprints

  1. An asymptotic for the K-Bessel function using the saddle-point method.
    arXiv   Keywords: asymptotics for the Bessel function

  2. Shrinking target horospherical equidistribution via translated Farey sequences.
    arXiv   Keywords: shrinking target horospherical equidistribution, translated horospheres, equidistribution of translated Farey sequences, renormalization, Grenier domain, Cholesky factorization, space of unimodular lattices

Publications

  1. Shrinking target equidistribution of horocycles in cusps.
    Mathematische Zeitschrift. 302 (2022), 2005-2035.
    Journal (open access)   arXiv   Keywords: effective shrinking target horocycle equidistribution, Fuchsian groups, method of stationary phase

  2. Eisenstein series and an asymptotic for the K-Bessel function,
    The Ramanujan Journal, 56 (2021), 323-345.
    Journal (open access)   arXiv   Keywords: asymptotics for the Bessel function, bounds on Eisenstein series

  3. Simultaneous dense and non-dense orbits for toral diffeomorphisms,
    Ergodic Theory and Dynamical Systems, 37 (4) (2017), 1308-1322.
    Journal   arXiv

  4. Ergodic Theory and Diophantine approximation for translation surfaces and linear forms, with J. Athreya and A. Parrish,
    Nonlinearity 29 (2016) 2173-2190.
    Journal   arXiv

  5. Nondense orbits for Anosov diffeomorphisms of the 2-torus,
    Real Analysis Exchange 41 (2) (2016), 307-314.
    Journal   arXiv

  6. Simultaneous dense and nondense orbits and the space of lattices, with R. Shi,
    International Mathematics Research Notices 2015 (21) (2015), 11276-11288.
    Journal   arXiv

  7. Spiraling of approximations and spherical averages of Siegel transforms, with J. S. Athreya and A. Ghosh,
    J. London Math. Soc. 91 (2) (2015), 383-404.
    Journal   arXiv

  8. Simultaneous dense and nondense orbits for commuting maps, with V. Bergelson and M. Einsiedler,
    Israel J. Math. 210 (2015), 23-45.
    Journal   arXiv

  9. Bounded Lüroth expansions: applying Schmidt games where infinite distortion exists, with B. Mance,
    Acta Arithmetica 158 (2013), 33-47.
    Journal   arXiv

  10. Badly approximable systems of affine forms, fractals, and Schmidt games, with M. Einsiedler,
    J. reine angew. Math. 660 (2011), 83-97.
    Journal   arXiv

  11. Badly approximable affine forms and Schmidt games,
    J. Number Theory 129 (2009), 3020-3025.
    Journal   arXiv

  12. Schmidt games and Markov partitions,
    Nonlinearity 22 (2009), 525-543.
    Journal   arXiv

  13. On circle rotations and the shrinking target properties,
    Discrete Contin. Dyn. Syst., 20 (2008), 1111-1122.
    Journal   arXiv

Research Notes (Not for Publication)

  1. Spherical averages of Siegel transforms for higher rank diagonal actions and applications, with J. S. Athreya and A. Ghosh, (2014).
    arXiv

My webpage: http://emps.exeter.ac.uk/mathematics/staff/jt533