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Simmons, David

  1. Intrinsic Diophantine approximation on quadric hypersurfaces
    2014/05/29 by Fishman, Lior, Kleinbock, Dmitry, Merrill, Keith +1 · 4 citations
    #11K60 (Primary) #37A17 (Secondary) #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT)
  2. Dynamical Borel-Cantelli lemma for recurrence theory
    2020/09/08 by Hussain, Mumtaz, Li, Bing, Simmons, David +1 · 5 citations
    #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT)
  3. Quantitative results using variants of Schmidt's game: Dimension bounds,\n arithmetic progressions, and more
    2017/03/27 by Ryan Broderick, Lior Fishman, Broderick, Ryan +3 · 2 citations
    Mathematics · Computer Science · #Mathematical Dynamics and Fractals #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms
  4. Random Iteration of Rational Functions
    2013/03/11 by David Simmons, Simmons, David · 1 citation
    Computer Science · Mathematics · #Computability, Logic, AI Algorithms #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Mathematical and Theoretical Analysis
  5. Random walks on homogeneous spaces and diophantine approximation on\n fractals
    2016/11/17 by David Simmons, Barak Weiss, Simmons, David +1 · 1 citation
    Computer Science · Mathematics · Physics and Astronomy · #11K60 #37A17 #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Theoretical and Computational Physics #Topological and Geometric Data Analysis #advanced mathematical theories
  6. Diophantine transference inequalities: weighted, inhomogeneous, and intermediate exponents
    2018/08/22 by Sam Chow, Anish Ghosh, Chow, Sam +7 · 1 citation
    Mathematics · #11J83 #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT)
  7. Generalised Hausdorff measure of sets of Dirichlet non-improvable matrices in higher dimensions
    2022/01/09 by Bakhtawar, Ayreena, Simmons, David · 1 citation
    #FOS: Mathematics #Number Theory (math.NT)
  8. Shrinking targets versus recurrence: the quantitative theory
    2024/10/30 by Jason Levesley, Bing Li, Levesley, Jason +5 · 2 citations
    Mathematics · #Mathematical Dynamics and Fractals #Advanced Differential Equations and Dynamical Systems #Stochastic processes and statistical mechanics
  9. Diophantine approximation in Kleinian groups: singular, extremal, and bad limit points
    2016/10/19 by Beresnevich, Victor, Ghosh, Anish, Simmons, David +1 · 1 citation
    #FOS: Mathematics #Number Theory (math.NT)