Kleinbock, Dmitry

1. Intrinsic Diophantine approximation on quadric hypersurfaces
   2014/05/29 by Fishman, Lior, Kleinbock, Dmitry, Merrill, Keith +1 · 3 citations
   #11K60 (Primary) #37A17 (Secondary) #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT)
2. A zero-one Law for improvements to Dirichlet's Theorem
   2016/09/21 by Kleinbock, Dmitry, Wadleigh, Nick · 3 citations
   #11J04 #11J70 #37A17 #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT)
3. Flows on S-arithmetic homogeneous spaces and applications to metric Diophantine approximation
   2005/06/24 by Dmitry Kleinbock, George Tomanov, Kleinbock, Dmitry +1 · 2 citations
   Mathematics · #11J83 #37A13 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometry and complex manifolds #Mathematical Dynamics and Fractals #Number Theory (math.NT) #advanced mathematical theories #math.DS #math.NT #msc:11J83 #msc:37A13
4. Rational Approximation on Spheres
   2013/01/06 by Kleinbock, Dmitry, Merrill, Keith · 2 citations
   #11 #37 #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT)
5. Nondense orbits on homogeneous spaces and applications to geometry and number theory
   2020/01/15 by An, Jinpeng, Guan, Lifan, Kleinbock, Dmitry · 2 citations
   #Dynamical Systems (math.DS) #FOS: Mathematics
6. S-adic version of Minkowski's geometry of numbers and Mahler's\n compactness criterion
   2011/11/01 by Dmitry Kleinbock, Ronggang Shi, Kleinbock, Dmitry +3 · 1 citation
   Computer Science · Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis #advanced mathematical theories
7. Values of binary quadratic forms at integer points and Schmidt games
   2013/11/07 by Kleinbock, Dmitry, Weiss, Barak · 1 citation
   #11E16 #37A45 #37D40 #FOS: Mathematics #Number Theory (math.NT)
8. Pointwise equidistribution with an error rate and with respect to unbounded functions
   2015/05/25 by Kleinbock, Dmitry, Shi, Ronggang, Weiss, Barak · 1 citation
   #Dynamical Systems (math.DS) #FOS: Mathematics
9. Quantitative non-divergence and Diophantine approximation on manifolds
   2019/06/03 by Dmitry Kleinbock, Victor Beresnevich, Kleinbock, Dmitry +1 · 1 citation
   Engineering · Mathematics · Physics and Astronomy · #11JXX #37A17 #Advanced Mathematical Theories and Applications #Advanced Numerical Analysis Techniques #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT)
10. A zero-one law for uniform Diophantine approximation in Euclidean norm
    2019/09/30 by Kleinbock, Dmitry, Rao, Anurag · 2 citations
    #11J04 #11J13 #37A17 #37D40 #FOS: Mathematics #Number Theory (math.NT)
11. Singularity, weighted uniform approximation, intersections and rates
    2024/09/23 by Kleinbock, Dmitry, Moshchevitin, Nikolay, Warren, Jacqueline +1 · 2 citations
    #11J13 - Simultaneous homogeneous approximation #11J54 #37A44 #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT) #linear forms 11J13
12. Inhomogeneous Diophantine approximation for generic homogeneous functions
    2022/05/03 by Dmitry Kleinbock, Kleinbock, Dmitry, Mishel Skenderi +1 · 1 citation
    Mathematics · #Mathematical Dynamics and Fractals #Algebraic Geometry and Number Theory
13. Measure theoretic laws for limsup set defined by rectangles
    2023/03/30 by Kleinbock, Dmitry, Wang, Baowei · 1 citation
    #11J83 #11K60 #FOS: Mathematics #Number Theory (math.NT)
14. Metrical properties for the weighted products of multiple partial quotients in continued fractions
    2022/02/22 by Bakhtawar, Ayreena, Hussain, Mumtaz, Kleinbock, Dmitry +1 · 1 citation
    #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT)
15. Critical loci of convex domains in the plane
    2020/03/30 by Kleinbock, Dmitry, Rao, Anurag, Sathiamurthy, Srinivasan · 1 citation
    #FOS: Mathematics #Metric Geometry (math.MG) #Number Theory (math.NT)