Gekhtman, Ilya
- 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)
- 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
- 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)
- 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)
- 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)
- 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)
- 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
- 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
- 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)