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1. Hyperbolic convexity of holomorphic level sets
   2024/11/15 by Efraimidis, Iason, Gumenyuk, Pavel · 1 citation
   #30F45 #30H05 #51M10 #52A55 #Complex Variables (math.CV) #FOS: Mathematics #Primary 30C80 #secondary 30J99
2. Boolean models in hyperbolic space
   2024/08/07 by Daniel Hug, Günter Last, Hug, Daniel +3 · 3 citations
   Computer Science · Mathematics · #52A55 #60F05 #60G55 #Cellular Automata and Applications #FOS: Mathematics #Metric Geometry (math.MG) #Polynomial and algebraic computation #Primary 60D05 #Probability (math.PR) #Secondary 52A22 #advanced mathematical theories
3. A quantitative central limit theorem for Poisson horospheres in high dimensions
   2023/03/31 by Kabluchko, Zakhar, Rosen, Daniel, Thäle, Christoph · 1 citation
   #52A55 #60D05 (Primary) #60F05 #60G55 (Secondary) #FOS: Mathematics #Metric Geometry (math.MG) #Probability (math.PR)
4. Fluctuations of λ-geodesic Poisson hyperplanes in hyperbolic space
   2022/05/25 by Kabluchko, Zakhar, Rosen, Daniel, Thäle, Christoph · 3 citations
   #52A55 #60D05 (Primary) #60F05 #60G55 (Secondary) #FOS: Mathematics #Metric Geometry (math.MG) #Probability (math.PR)
5. Dual metrics on the boundary of strictly polyhedral hyperbolic 3-manifolds
   2022/03/31 by Prosanov, Roman · 1 citation
   #52A55 #52B70 #53C24 #53C50 #57M50 #FOS: Mathematics #Geometric Topology (math.GT) #Metric Geometry (math.MG)
6. Inscribable Fans II: Inscribed zonotopes, simplicial arrangements, and reflection groups
   2022/03/21 by Sebastian Manecke, Manecke, Sebastian, Raman Sanyal +1 · 2 citations
   Mathematics · #51F15 #51M20 #52A55 #52B12 #52C35 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #FOS: Mathematics #Metric Geometry (math.MG)
7. On Expected Face Numbers of Random Beta and Beta' Polytopes
   2021/07/14 by Kabluchko, Zakhar · 2 citations
   #11B73 #33E20 #33E30 #52A27 #52A55 #52B11 #60D05 #Combinatorics (math.CO) #FOS: Mathematics #Primary: 52A22 #Probability (math.PR) #Secondary: 11B37
8. Random inscribed polytopes in projective geometries
   2020/05/21 by Besau, Florian, Rosen, Daniel, Thäle, Christoph · 1 citation
   #52A55 #60D05 #60F05 #Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG) #Primary 52A22 #Probability (math.PR) #Secondary 58B20
9. On the illumination of centrally symmetric cap bodies in small\n dimensions
   2020/01/01 by Ilya Ivanov, Cameron Strachan, Ivanov, Ilya +1 · 1 citation
   Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #52A20 #52A55 #Advanced Mathematical Modeling in Engineering #Diffusion and Search Dynamics #FOS: Mathematics #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG) #Point processes and geometric inequalities
10. Angles of Random Simplices and Face Numbers of Random Polytopes
    2019/09/29 by Kabluchko, Zakhar · 2 citations
    #52A22 #52A27 (Secondary) #52A55 #52B11 #60D05 (Primary) #60G55 #Combinatorics (math.CO) #FOS: Mathematics #Metric Geometry (math.MG) #Probability (math.PR)
11. Asymptotic normality for random polytopes in non-Euclidean geometries
    2019/09/12 by Besau, Florian, Thäle, Christoph · 2 citations
    #52A55 #60F05 #FOS: Mathematics #Metric Geometry (math.MG) #Primary 52A22 #Probability (math.PR) #Secondary 60D05
12. Flag numbers and floating bodies
    2018/05/29 by Besau, Florian, Schütt, Carsten, Werner, Elisabeth M. · 1 citation
    #(2010): 52A38 (Primary) 52A27 #52A55 #52B05 #52B60 (Secondary) #Combinatorics (math.CO) #Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG)
13. Equidistribution and counting under equilibrium states in negative curvature and trees. Applications to non-Archimedean Diophantine approximation
    2016/12/20 by Broise-Alamichel, Anne, Parkkonen, Jouni, Paulin, Frédéric · 1 citation
    #11E25 #11R11 #11R58 #20E08 #37A25 #37B10 #37D35 #37D40 #52A55 #53C22 #60J10 #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT)
14. Computing arithmetic invariants for hyperbolic reflection groups
    2007/08/15 by Antolin-Camarena, Omar, Maloney, Gregory R., Roeder, Roland K. W. · 1 citation
    #30F40 #51M09 (Secondary) #52A55 #52B10 #57M (Primary) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT)