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Gekhtman, Ilya

  1. Critical exponents of invariant random subgroups in negative curvature
    2018/04/09 by Gekhtman, Ilya, Levit, Arie · 2 citations
    #20F67 #20F69 #20H10 #22D40 #22E40 #22F10 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)
  2. Counting conjugacy classes in groups with contracting elements
    2018/10/06 by Ilya Gekhtman, Wen-yuan Yang, Gekhtman, Ilya +1 · 2 citations
    Computer Science · Mathematics · #20F67 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #Mathematical Dynamics and Fractals #Primary 20F65 #Topological and Geometric Data Analysis
  3. Entropy and drift for Gibbs measures on geometrically finite manifolds
    2019/04/02 by Gekhtman, Ilya, Tiozzo, Giulio · 2 citations
    #37D35 #53D25 #60G50 #60J50 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Probability (math.PR)
  4. Stationary random subgroups in negative curvature
    2023/03/07 by Gekhtman, Ilya, Levit, Arie · 2 citations
    #20F67 20F67 20F67 20F67 #37H99 #43A07 #53C35 #60G10 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #Probability (math.PR)
  5. Confined subgroups in groups with contracting elements
    2024/05/15 by Inhyeok Choi, Choi, Inhyeok, Ilya Gekhtman +5 · 2 citations
    Mathematics · #20F65 #20F67 #20F69 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR)
  6. Counting problems in graph products and relatively hyperbolic groups
    2017/11/11 by Gekhtman, Ilya, Taylor, Samuel J., Tiozzo, Giulio · 1 citation
    #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)
  7. A central limit theorem for random closed geodesics: proof of the\n Chas-Li-Maskit conjecture
    2018/08/25 by Ilya Gekhtman, Gekhtman, Ilya, Samuel J. Taylor +3 · 1 citation
    Mathematics · #Mathematical Dynamics and Fractals #Geometric and Algebraic Topology #Geometric Analysis and Curvature Flows
  8. Central limit theorems for counting measures in coarse negative curvature
    2020/04/27 by Ilya Gekhtman, Samuel J. Taylor, Gekhtman, Ilya +3 · 1 citation
    Mathematics · #20F67 #57M60 #60F05 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometry and complex manifolds #Mathematical Dynamics and Fractals
  9. Genericity of sublinearly Morse directions in CAT(0) spaces and the Teichmüller space
    2022/08/09 by Gekhtman, Ilya, Qing, Yulan, Rafi, Kasra · 1 citation
    #20F65 #30F60 #37A25 #82C41 #Dynamical Systems (math.DS) #FOS: Mathematics #Group Theory (math.GR)