Publications by Saar Hersonsky.
29. Uniformization of an annulus via discretization of harmonic conjugate pair,
(S. Hersonsky and E. Perkerson with an appendix by J.A. Konfrst),
Submitted for publication (December 2024) [pdf]
28. On Horospherical Rigidity,
(G. Besson, G. Courtois, and S. Hersonsky),
Submitted for publication (November 2024) [pdf]
27. Rigidity of flat holonomies,
(G. Besson, G. Courtois, and S. Hersonsky),
Submitted for publication on 2023 and accepted on 2024 (30 pages) in:
Ergodic Theory and Dynamical Systems as FirstView: [journal]
26. Singular level curves of harmonic functions, conformal mappings and emerging applications to shape recognition of planar-domains,
(S. Hersonsky and E. Perkerson),
Proceedings of the International Conference on Image Processing, Computer Vision, and Pattern Recognition (IPCV), (2019), 85--88.
The recent version is posted here [Journal]
25. Approximation of conformal mappings and novel applications to shape recognition of planar domains,
The Journal of Supercomputing, 74 (2018), 1741--1769.
The recent version is posted here [pdf] [Journal]
24. Poincare inequality on complete Riemannian manifolds with Ricci curvature bounded below,
(G. Besson, G. Courtois, and S. Hersonsky),
Mathematical Research letters, 25 (2018), 1741--1769.
The recent version is posted here [pdf]
23. A Novel Approach to the Approximation of Conformal Mappings and Emerging Applications to Shape Recognition of Planar-Domains,
(S. Hersonsky, H.R. Arabnia and T.R. Taha),
Proceedings of the 2017 International Conference on Computational Science and Computational Intelligence, Publisher: IEEE CPS, Editors: Hamid R. Arabnia, Leonidas Deligiannidis, Fernando G. Tinetti, Quoc-Nam Tran, Mary Qu Yang, (2017), 532–534.
The recent version is posted here [Journal]
22. Addendum: the case of closed surfaces (to #19 Boundary Value Problems on Planar Graphs and Flat Surfaces with integer cone singularities, I: The Dirichlet problem),
Journal für die reine und angewandte Mathematik 713 (2016), 247--250. [pdf] [journal]
21. Discrete Harmonic Maps and Convergence to Conformal Maps, I: Combinatorial harmonic coordinates,
Commentarii Mathematici Helvetici 90 (2015), 325--364, the May 2015 version is posted here [pdf]
20. The triple intersection property, three dimensional extremal length, and tiling of a topological cube,
Topology and its Applications 159 (2012), 2795--2805. [pdf] [journal]
19. Boundary Value Problems on Planar Graphs and Flat Surfaces with integer cone singularities, I: The Dirichlet problem,
Journal für die reine und angewandte Mathematik 670 (2012), 65--92. [pdf file] [journal]
18. Boundary Value Problems on Planar Graphs and Flat Surfaces with integer cone singularities, II: The Dirichlet-Neumann problem,
Differential Geometry and its Applications 29 (2011), 329--347. [pdf file][journal]
17. On the almost sure spiraling of geodesics in negatively curved manifolds
(S. Hersonsky and F. Paulin),
Journal of Differential Geometry 85 (2010), 271--314. [journal]
16. Energy and length in a topological planar quadrilateral,
Euro. Journal of Combinatorics 29 (2008), 208--217. [journal]
15. A logarithm law for automorphism groups of trees
(S. Hersonsky and F. Paulin),
Archiv. Mathematik 88 (2007), 97--108. [pdf file]
14. Ubiquity of geometric finitness in boundaries of deformation spaces of hyperbolic 3 manifolds
(R.D. Canary),
American Jour. of Math. 126 (2004), 1193--1220. [journal]
13. Counting orbit points in coverings of negatively curved manifolds and Hausdorff dimension of cusp excursions
(S. Hersonsky and F. Paulin),
Ergodic Theory and Dynamical Systems 24 (2004), 803--824. [journal]
12. Approximations by maximal cusps on the boundary of quasiconformal deformation space
(R.D. Canary, M. Culler, S. Hersonsky and P.B. Shalen),
Jour. of Differential Geometry 64 (2003), 57--109. [journal]
11. Diophantine approximations for negatively curved manifolds,
(S. Hersonsky and F. Paulin),
Mathematische Zeitschrift 241 (2002), 181--226. [journal]
10. Diophantine approximation in negatively curved manifolds and in the Heisnberg group
(S. Hersonsky and F. Paulin),
''Rigidity in dynamics and geometry (Cambridge, 2000)'', Springer, Berlin (2002), 203--226. [pdf file]
9. Hausdorff dimension of diophantine geodesics in negatively curved manifolds
(S. Hersonsky and F. Paulin),
Journal fur die reine und angewandte Mathematik 539 (2001), 29--43. [journal]
8. Counting horoballs and rational geodesic
(K. Belabas, S. Hersonsky and F. Paulin),
Bull of the L. M. S., 33 (2001), 606--612. [pdf file]
7. On the Betti number of the smallest closed hyperbolic 3-manifold
(M. Culler, S. Hersonsky and P.b. Shalen),
Topology 37 (1998), 805--849. [journal]
6. On the rigidity of discrete isometry groups of negatively curved spaces
(S. Hersonsky and F. Paulin),
Comm. Math. Helv. 72 (1997), 349--388. [journal]
5. Groups of automorphisms of trees and their limit sets
(S. Hersonsky and J. H. Hubbard),
Ergodic Theory and Dynamical 17 (1997), 869--884. [journal]
4. On the volumes of complex hyperbolic manifolds
(S. Hersonsky and F. Paulin),
Duke Math. J. 84 (1996), 719--737. [journal]
3. A generalization of the Shimizu-Leutbecher lemma and the Jorgensen inequality to Mobius transformations in R^n,
Proc. Amer. Math. Soc. 121 (1994), 209--215. [journal]
2. Covolume estimates for discrete groups of hyperbolic isometries having parabolic elements,
Mich. Math. J. 40 (1993), 467-- 475. [journal]
1. Jorgensen's inequality for discrete groups in normed algebras
(S. Friedland and S. Hersonsky),
Duke Math. J. 69 (1993), 593--614. [journal]