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Velani, Sanju

  1. Measure theoretic laws for lim sup sets
    2004/01/12 by Victor Beresnevich, Beresnevich, Victor, Detta Dickinson +3 · 9 citations
    Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT) #math.DS #math.NT
  2. The Shrinking Target Problem for Matrix Transformations of Tori: revisiting the standard problem
    2022/08/12 by Bing Li, Li, Bing, Lingmin Liao +6 · 12 citations
    Mathematics · #11J83 (Primary) #28A78 #28A80 #37E05 (Secondary) #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Mathematical Dynamics and Fractals #Number Theory (math.NT) #advanced mathematical theories
  3. On a problem of K. Mahler: Diophantine approximation and Cantor sets
    2005/05/04 by Jason Levesley, Cem Salp, Levesley, Jason +3 · 5 citations
    Mathematics · #11K55 #FOS: Mathematics #Number Theory (math.NT) #Primary 11J83 #Probability (math.PR) #Secondary 11J82 #math.NT #math.PR #msc:11J82 #msc:11J83 #msc:11K55
  4. Metric Diophantine Approximation: aspects of recent work
    2016/01/08 by Beresnevich, Victor, Ramírez, Felipe, Velani, Sanju · 7 citations
    #FOS: Mathematics #Number Theory (math.NT)
  5. Diophantine approximation on planar curves and the distribution of rational points
    2004/01/14 by Victor Beresnevich, Beresnevich, Victor, Detta Dickinson +3 · 3 citations
    Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Algebraic Geometry and Number Theory #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT)
  6. On shrinking targets for Zm actions on tori
    2008/07/24 by Yann Bugeaud, Bugeaud, Yann, Stephen Harrap +5 · 4 citations
    Mathematics · #11J83 (Primary) #37A45 (Secondary) #37E10 #Dynamical Systems (math.DS) #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Mathematical Approximation and Integration #Mathematical Dynamics and Fractals #Number Theory (math.NT)
  7. Classical metric Diophantine approximation revisited
    2008/03/16 by Victor Beresnevich, Vasily Bernik, Beresnevich, Victor +5 · 6 citations
    Mathematics · #11J83 #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT)
  8. Inhomogeneous Diophantine Approximation on M0-sets with restricted\n denominators
    2019/06/03 by Andrew Pollington, Sanju Velani, Pollington, Andrew D. +5 · 3 citations
    Computer Science · Mathematics · #Analytic Number Theory Research #Computability, Logic, AI Algorithms #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #semigroups and automata theory
  9. Sums of reciprocals of fractional parts and multiplicative Diophantine approximation
    2015/11/21 by Beresnevich, Victor, Haynes, Alan, Velani, Sanju · 2 citations
    #FOS: Mathematics #Number Theory (math.NT)
  10. The Duffin-Schaeffer Conjecture with extra divergence
    2008/11/07 by Alan Haynes, Haynes, Alan, Andrew Pollington +3 · 3 citations
    Mathematics · #11J83 #11K55 #11K60 #Advanced Topology and Set Theory #FOS: Mathematics #History and Theory of Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT)
  11. Inhomogeneous theory of dual Diophantine approximation on manifolds
    2010/09/28 by Dzmitry Badziahin, Badziahin, Dzmitry, Victor Beresnevich +3 · 2 citations
    Mathematics · #11J13 #11J83 #11K60 #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals #Number Theory (math.NT)
  12. The Duffin-Schaeffer Conjecture with extra divergence II
    2012/01/05 by Beresnevich, Victor, Harman, Glyn, Haynes, Alan +1 · 1 citation
    #11J83 #11K55 #11K60 #FOS: Mathematics #Number Theory (math.NT)
  13. Borel-Cantelli, zero-one laws and inhomogeneous Duffin-Schaeffer
    2024/06/27 by Victor Beresnevich, Beresnevich, Victor, Manuel Hauke +3 · 5 citations
    Economics, Econometrics and Finance · #11A55 #11J20 #11J54 #11J70 #11J71 #11J83 #11K06 #11K38 #11K50 #11K60 #37A44 #60F20 #Dynamical Systems (math.DS) #Economic theories and models #FOS: Mathematics #Number Theory (math.NT) #Probability (math.PR)
  14. Number Theory meets Wireless Communications: an introduction for dummies like us
    2020/06/29 by Victor Beresnevich, Sanju Velani, Beresnevich, Victor +1 · 1 citation
    Computer Science · Mathematics · #11J25 #11J83 #11K60 #37A17 #94A15 #94A40 #Computational Geometry and Mesh Generation #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Mathematical Dynamics and Fractals #Number Theory (math.NT) #Topological and Geometric Data Analysis
  15. Diophantine approximation and the Mass Transference Principle: incorporating the unbounded setup
    2024/10/24 by Bing Li, Li, Bing, Lingmin Liao +7 · 3 citations
    Engineering · Physics and Astronomy · #Phase Equilibria and Thermodynamics #Quantum chaos and dynamical systems #Quantum Mechanics and Applications
  16. Diophantine approximation on manifolds and the distribution of rational points: contributions to the convergence theory
    2015/06/30 by Beresnevich, Victor, Vaughan, Robert C., Velani, Sanju +1 · 1 citation
    #11K60 #FOS: Mathematics #Number Theory (math.NT) #Primary 11J83 #Secondary 11J13
  17. Inhomogeneous dual Diophantine approximation on affine subspaces
    2017/11/23 by Beresnevich, Victor, Ganguly, Arijit, Ghosh, Anish +1 · 1 citation
    #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT)
  18. Badly approximable points on planar curves and winning
    2014/08/29 by Jinpeng An, Victor Beresnevich, An, Jinpeng +3 · 3 citations
    Mathematics · #Advanced Differential Equations and Dynamical Systems #FOS: Mathematics #Mathematical Dynamics and Fractals #Meromorphic and Entire Functions #Number Theory (math.NT)
  19. 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
  20. Simultaneous inhomogeneous Diophantine approximation on manifolds
    2007/10/30 by Victor Beresnevich, Beresnevich, Victor, Sanju Velani +1 · 1 citation
    Computer Science · Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #Topological and Geometric Data Analysis
  21. 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)