Publications by Saar Hersonsky.
27. Rigidity of flat holonomies,
(G. Besson, G. Courtois, and S. Hersonsky),
Submitted for publication (Aug 2023).
The recent version is posted here [pdf]
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]