# Hee Oh – Abraham Robinson Professor of Mathematics
**Source**: https://campuspress.yale.edu/heeoh/
**Parent**: https://campuspress.yale.edu/
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*And the end of all our exploring\
Will be to arrive where we started\
And know the place for the first time* \
– from Little Gidding by T.S. Eliot
| | |
| --- | --- |
| Paper mail | [Department of Mathematics](http://math.yale.edu) Yale University. PO Box 208283 New Haven, CT 06520-8283 |
| E-mail | hee.oh(AT)yale(DOT)edu |
| Phone | (203) 432-4193 |
| Office | KT 751 |
- Curriculum vitae [short](https://campuspress.yale.edu/heeoh/files/2025/11/Ohcv_short.pdf), [long](https://campuspress.yale.edu/heeoh/files/2025/12/Ohcv.pdf)
- [Group actions and Dynamics seminar](https://math.yale.edu/events/2025-11-10-group-actions-and-dynamics-seminar-dynamics-of-totally-geodesic-submanifolds)
- [Upcoming conferences and travel](https://campuspress.yale.edu/heeoh/conferences-and-travel)
- [Videos and lecture slides](https://campuspress.yale.edu/heeoh/videos-and-lecture-slides/)
- [In the Media](https://campuspress.yale.edu/heeoh/in-the-media/)
## Publications and Preprints
For the link to my papers in MathSciNet, click [here](https://mathscinet.ams.org/mathscinet/author?authorId=615083)or [here](https://mathscinet.ams.org/mathscinet/2006/mathscinet/search/publications.html?pg1=INDI&s1=615083). For preprints, versions here are more updated than those available in the arXiv.
1. Properness and finiteness of totally geodesic submanifolds in the convex core. \
(with M. Lee), Preprint (arXiv:2511.09377) ([pdf](https://campuspress.yale.edu/heeoh/files/2025/12/Proper_TG.pdf))
2. Dynamics and Rigidity through the Lens of Circles. \
Preprint (arXiv:2510.10771), To appear in the Proceedings of the ICM 2026 ([pdf](https://campuspress.yale.edu/heeoh/files/2026/02/ICM2026Plenary.pdf))
3. Fractal closures of geodesic planes in Hitchin manifolds. \
(with S. Dey), Preprint (arXiv:2509.17915) ([pdf](https://campuspress.yale.edu/heeoh/files/2026/02/Fractal_GP.pdf))
4. Counting totally real units and eigenvalue patterns in SL\_n(Z) and Sp\_{2n}(Z) in thin tubes.
\
Preprint (arXiv:2505.13288) ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/Units.pdf))
5. Deformations of Anosov subgroups: limit cones and growth indicators.
\
(with S. Dey), J. Lond. Math. Soc. (2) 112 (2025), no. 3, Paper No. e70280 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/LimitCone.pdf))
6. Zariski dense non-tempered subgroups in higher rank of nearly optimal growth.
\
(with M. Fraczyk), To appear in the bicentennial issue of Crelle’s journal (arXiv:2410.19551). ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/NonTemp.pdf), [journal](https://campuspress.yale.edu/heeoh/files/2025/11/NonTemp_j.pdf))
7. Bi-Lipschitz rigidity of discrete subgroups.
\
(with R. Canary and A. Zimmer), Preprint (arXiv:2405.00249) ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/BiLip.pdf))
8. Relatively Anosov groups: finiteness, measure of maximal entropy and reparameterization.
\
(with D. Kim), J. Reine Angew. Math 826 (2025), 91-142. ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/Entropy.pdf))
9. Ahlfors regularity of Patterson-Sullivan measures of Anosov groups and applications. \
(with S. Dey and D. Kim), To appear in Compositio Math. (arXiv:2401.12398) ([pdf](https://campuspress.yale.edu/heeoh/files/2025/12/AR.pdf))
10. Multiple correlations of spectra for higher rank Anosov representations.
\
(with M. Chow), Int. Math. Res. Notices, Volume 2025, Issue 6, 1-27. ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/AC.pdf))
11. Jordan and Cartan spectra in higher rank with applications to correlations. \
(with M. Chow), To appear in Moduli (arXiv:2308.16329) ([pdf](https://campuspress.yale.edu/heeoh/files/2025/12/Jordan.pdf))
12. Ergodic dichotomy for subspace flows in higher rank.
\
(with D. Kim and Y. Wang), Comm. Amer. Math. Soc. Vol 5 (2025), 1-47. ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/SF.pdf))
13. Properly discontinuous actions, growth indicators and conformal measures for transverse subgroups.
\
(with D. Kim and Y. Wang), Preprint (arXiv:2306.06846), To appear in Math. Ann. ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/PD.pdf))
14. Non-concentration property of Patterson-Sullivan measures for Anosov subgroups.
\
(with D. Kim), Ergodic Theory and Dynamical Systems, Vol 35 (2025), 884-893 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/NC.pdf))
15. Infinite volume and atoms at the bottom of the spectrum.
\
(with S. Edwards, M. Fraczyk, M. Lee), Comptes Rendus Mathématique, Vol 362 (2024), 1873-1880 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/Inf_Vol_CRAS.pdf))
16. Conformal measure rigidity for representations via self-joinings.
\
(with D. Kim), Advances in Math. 458 (2024), Paper No.109992 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/ConfMR.pdf))
17. Rigidity of Kleinian groups via self-joinings: measure theoretic criterion.
\
(with D. Kim), J. Topol. 18 (2025), no 3, Paper No. e70035 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/MR.pdf), [video](https://www.youtube.com/watch?v=vsAUbDbdgCg))
18. Rigidity of Kleinian groups via self-joinings.
\
(with D. Kim), Inventiones Mathematicae, Vol 234, issue 3 (2023), 937-948 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/Rigidity.pdf), [video](https://www.youtube.com/watch?v=vsAUbDbdgCg))
19. Torus counting and self-joinings of Kleinian groups.
\
(with S. Edwards and M. Lee), J. Reine Angew. Math. 807 (2024), 151-185. ([journal](https://campuspress.yale.edu/heeoh/files/2025/11/TC_crelle.pdf), [pdf](https://campuspress.yale.edu/heeoh/files/2025/11/Torus.pdf))
20. Euclidean traveller in hyperbolic worlds.
\
Notices Amer. Math. Soc. 69 (2022), no. 11, 1888-1897 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/ET.pdf), [video](https://www.youtube.com/watch?v=ONMiVMeUIc0&t=29s))
21. Dichotomy and measures on limit sets of Anosov groups.
\
(with M. Lee), Int. Math. Res. Not. IMRN (2024), no. 7, 5658-5688 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/DM.pdf))
22. Temperedness of L^2(\Gamma\G) and positive eigenfunctions in higher rank.
\
(with S. Edwards), Communications of the AMS, Vol 3 (2023), 744-778 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/EF.pdf))
23. On denseness of horospheres in higher rank homogeneous spaces.
\
(with O. Landesberg), Ergodic Theory and Dynamical Systems, Vol 44 (2024), 3272-3289 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/dense.pdf))
24. Hausdorff dimension of directional limit sets for self-joinings of hyperbolic manifolds.
\
(with D. Kim and Y. Minsky), Journal of Modern Dynamics, Vol 19 (2023), 433-453 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/HDim.pdf))
25. Tent property of the growth indicator functions and applications.
\
(with D. Kim and Y. Minsky), Geom. Dedicata 218 (2024), Paper No: 14 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/Tent.pdf))
26. Uniqueness of conformal measures and local mixng for Anosov groups.
\
(with S. Edwards and M. Lee), Michigan Math. J. 72 (Prasad volume), 243-259 (2022) ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/UC.pdf))
27. Horospherical invariant measures and a rank dichotomy for Anosov groups.
\
(with O. Landesberg, M. Lee, and E. Lindenstrauss), Journal of Modern Dynamics, Vol 19 (2023), pp.331-362 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/UE.pdf), [video](https://www.youtube.com/watch?v=NgugTrg49UY))
28. The Hopf-Tsuji-Sullivan dichotomy in higher rank and applications to Anosov subgroups.
\
(with M. Burger, O. Landesberg, and M. Lee), Journal of Modern Dynamics, Vol 19 (2023), pp. 301-330 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/Dichotomy.pdf), [video](https://www.youtube.com/watch?v=NgugTrg49UY))
29. Ergodic decompositions of geometric measures on Anosov homogeneous spaces.
\
(with M. Lee), Israel J. Math, Vol 260 (2024), pp. 195-234 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/ED.pdf), [video](https://www.youtube.com/watch?v=NgugTrg49UY))
30. Invariant measures for horospherical actions and Anosov groups.
\
(with M. Lee), Int. Math. Res. Notices, Vol 2023, No 19, pp. 16226–16295 ([pdf,](https://campuspress.yale.edu/heeoh/files/2025/11/Measure_Anosov.pdf)[video part 1,](https://www.msri.org/seminars/25311/schedules/28869#Invariant%20Measures%20For%20Horospherical%20Actions%20\On%20Anosov%20Homogeneous%20Spaces)[video part 2](https://www.msri.org/seminars/25353/schedules/28911#On%20The%20Ergodicity%20Of%20Burger%20Roblin%20Measures))
31. Anosov groups: local mixing, counting, and equidistribution.
\
(with S. Edwards and M. Lee), Geometry & Topology, 27 (2023), 513-573 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/Anosov.pdf))
32. Spectral gap and exponential mixing on geometrically finite hyperbolic manifolds.
\
(with S. Edwards), Duke Math. J, Vol 170 (2021), 3417-3458 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/Exp_Mixing.pdf))
33. Isolations of geodesic planes in the frame bundle of a hyperbolic 3-manifold.
\
(with A. Mohammadi), Compositio Math. Vol 159 (2023), 488-529 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/MF.pdf))
34. Dynamics for discrete subgroups of SL(2,C).
\
In: Dynamics, Geometry, Number theory: The impact of Margulis on Modern Mathematics ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/Margulis_volume.pdf))
35. Topological proof of Benoist-Quint’s orbit closure theorem for SO(d,1).
\
(with M. Lee), Journal of Modern Dynamics, Vol 15 (2019), 263–276 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/ZD.pdf))
36. Orbit closures of unipotent flows for hyperbolic manifolds with Fuchsian ends.
\
(with M. Lee), Geometry & Topology 28 (2024) 3373-3473. ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/oc.pdf), [video](https://youtu.be/HSh9w2HeGXg)).
37. Shrinking targets for the geodesic flow on geometrically finite hyperbolic manifolds.
\
(with D. Kelmer), Journal of Modern Dynamics, Vol 17 (2021), 401–434 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/ST.pdf))
38. Orbit closures for the PSL(2,R)-action on hyperbolic 3-manifolds.
\
(Fields Institute Summer School Lecture Notes), Preprint, Not for publication ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/FSS.pdf))
39. Geodesic planes in geometrically finite acylindrical 3-manifolds.
\
(with Y. Benoist), Ergodic Theory and Dynamical Systems, Vol 42 (2022), 514–553 (memorial volume for Katok) ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/GF_acy.pdf), [video](https://vimeo.com/282035469))
40. Geodesic planes in the convex core of an acylindrical 3-manifold.
\
(with C. McMullen and A. Mohammadi), Duke. Math. J, 171 (2022), no. 5, 1029-1060. ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/acy.pdf), [video](https://vimeo.com/282035469), [Bourbaki video](https://www.youtube.com/watch?v=yU22slhSUwQ))
41. Local mixing and invariant measures for horospherical subgroups on abelian covers.
\
(with W. Pan), IMRN 2019, Issue 19, 6036-6088 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/Local_Mixing_2021.pdf))
42. Remembering Marina Ratner.
\
AMS Notices Amer. Math. Soc. 66 (2019), No. 3, p. 385 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/Ratner.pdf))
43. Prime number theorems and holonomies for hyperbolic rational maps.
\
(with D. Winter), Inventiones Mathematicae, Vol 208 (2017), 401–440 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/HJ.pdf), [video](https://video-archive.fields.utoronto.ca/view/6194))
44. Horocycles in hyperbolic 3-manifolds.
\
(with C. McMullen and A. Mohammadi), Geometric and Functional Analsis, Vol 26 (2016), 961–973 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/horo_GAFA.pdf))
45. Geodesic planes in hyperbolic 3-manifolds.
\
(with C. McMullen and A. Mohammadi), Inventiones Mathematicae, Vol 209 (2017), 425–461 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/sier.pdf), [video](http://videodl.msri.org/data/000/023/422/original/14232.mp4))
46. Invariant Radon measures for unipotent flows and products of Kleinian groups.
\
(with A. Mohammadi), PAMS. 146 (2018), 1469–1479 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/MC_product9.pdf))
47. Fuchsian groups and compact hyperbolic surfaces.
\
(with Y. Benoist), L’Enseignement Mathématique, Vol 62 (2016), 189–198 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/Limit.pdf))
48. Uniform congruence counting for Schottky semigroups in SL\_2(Z).
\
(with M. Magee and D. Winter), J. Reine Angew. Math., Vol 753 (2019), 89–135 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/semigroup.pdf))
49. Uniform exponential mixing and resonance free regions for convex cocompact congruence subgroups of SL\_2(Z).
\
(with D. Winter), Journal of the American Mathematical Society, Vol 29 (2016), 1069–1115 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/UEM_final.pdf))
50. Closed geodesics and holonomies for Kleinian manifolds.
\
(with G. Margulis and A. Mohammadi), Geometric and Functional analysis, Vol 24 (2014), 1608–1636 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/Holonomy_corrected.pdf), [video](https://video-archive.fields.utoronto.ca/view/6194))
51. Classification of joinings for Kleinian groups.
\
(with A. Mohammadi), Duke Math.J., Vol 165 (2016), 2155–2223 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/Joining_Revised.pdf), [video](http://video-archive.fields.utoronto.ca/view/4573))
52. Matrix coefficients, counting and primes for orbits of geometrically finite groups.
\
(with A. Mohammadi), Journal of the European Mathematical Society, Vol 17 (2015), 837–897 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/EMC_JEM_final.pdf))
53. Ergodicity of unipotent flows and Kleinian groups.
\
(with A. Mohammadi), Journal of the American Mathematical Society, Vol 28 (2015), 531–577 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/BR_JAMS_Final_corrected.pdf), [video](http://video-archive.fields.utoronto.ca/view/4573))
54. Eigenvalues of congruence covers of geometrically finite hyperbolic manifolds.
\
Journal of Geometric Analysis, Vol 25 (2015), 1421–1430 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/Multiplicity_Final.pdf))
55. Counting visible circles on the sphere and Kleinian groups.
\
(with N. Shah), LMS series Vol 425, 272–288. ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/Sphere_final.pdf))
56. Apollonian circle packings: dynamics and number theory.
\
Japanese Journal of Math., Vol 9 (2014), 69–97, (expanded version of the 13th Takagi Lecture series notes). ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/Takagi_2013_Final.pdf), [video part 1](https://www.youtube.com/watch?v=5-k9SwtghXo), [video part 2](https://www.youtube.com/watch?v=K_CauGJ9cWU))
57. Harmonic analysis, ergodic theory and counting for thin groups.
\
In “Thin groups and superstrong approximation”, MSRI publ.61 Cambridge Univ. Press. 2014 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/newMSRI_Oh.pdf))
58. Limits of translates of divergent geodesics and integral points on one-sheeted hyperboloids.
\
(with N. Shah), Israel J. Math., Vol 199 (2014), pp. 915–931 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/tlogt_Israel_final.pdf))
59. Effective circle count for Apollonian packings and closed horospheres.
\
(with M. Lee), Geometric and Functional analysis, Vol 23 (2013), 580–621 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/GAFA_Lee_Oh_Final.pdf))
60. Equidistribution and counting for orbits of geometrically finite hyperbolic groups.
\
(with N. Shah), Journal of the American Mathematical Society, Vol 26 (2013), 511–562 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/GFH_Final_Submission.pdf))
61. The asymptotic distribution of circles in the orbits of Kleinian groups.
\
(with N. Shah), Inventiones Mathematicae, Vol 187 (2012), 1–35 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/Final_InventionesCC.pdf))
62. On the distribution of orbits of geometrically finite hyperbolic groups on the boundary.
\
(with S. Lim), Ergod. Th. & Dynam. Sys., Vol 32, 173–189 (2012) ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/finalLimOh.pdf))
63. Almost prime Pythagorean triples in thin orbits.
\
(with A. Kontorovich), J. Reine Angew. Math. Vol 667 (2012), 89–131 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/Affine22.pdf))
64. Effective equidistribution of S-integral points on symmetric varieties.
\
(with Y. Benoist), Annales de L’Institut Fourier, Vol 62 (2012), 1889–1942 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/countingAIF.pdf) )
65. Apollonian circle packings and closed horospheres on hyperbolic 3 manifolds.
\
(with A. Kontorovich), Journal of the American Mathematical Society 24 (2011), 603–648 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/JAMSAp.pdf))
66. Rational points on homogeneous varieties and equidistribution of adelic periods.
\
(with A. Gorodnik), Geometric and Functional Analysis, Vol 21 (2011), 319–392 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/FinalGAFA.pdf))
67. Dynamics on geometrically finite hyperbolic manifolds with applications to Apollonian circle packings and beyond.
\
Proceedings of International Congress of Mathematicians (2010), Vol III, 1308–1331 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/revisedOhICM.pdf))
68. Discreteness criterion for subgroups of products of SL(2).
\
(with Y. Benoist), Transformation Groups, Vol 15 (2010), 503–515 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/sl2A.pdf))
69. Orbital counting via mixing and unipotent flows.
\
in Homogeneous flows, Moduli Spaces and Arithmetic, Clay Mathematics Proceedings, 2010, Vol 10, 339–375 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/Ohpisalecture.pdf))
70. Strong wavefront lemma and counting lattice points in sectors.
\
(with A. Gorodnik and N. Shah), Israel J. Math., Vol 176 (2010), 419–444 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/strong6.pdf))
71. Discrete subgroups of SL\_3(R) generated by triangular matrices.
\
(with Y. Benoist), Int. Math. Res. Notices, Article ID 149, 2009 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/FinalOhBenoist.pdf))
72. Integral points on symmetric varieties and Satake compactifications.
\
(with A. Gorodnik and N. Shah), American J. Math., Vol 131 (2009), 1–57 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/satake_ajm.pdf))
73. Manin’s and Peyre’s conjectures on rational points and adelic mixing.
\
(with A. Gorodnik and F. Maucourant), Ann. Sci. Ecole Norm. Sup. Vol 41 (2008) 47–97 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/finalheight.pdf))
74. Polar decomposition for p-adic symmetric spaces.
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(with Y. Benoist), Int. Math. Res. Notices (2007), Article ID 121 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/polar.pdf))
75. Equidistribution of rational matrices in their conjugacy classes.
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(with Y. Benoist), Geom. and Funct. Analysis, Vol 17 (2007) ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/eqconj.pdf))
76. Orbits of discrete subgroups on a symmetric space and the Furstenberg boundary.
\
(with A. Gorodnik), Duke Math. J. Vol 139 (2007), 483–525 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/boundary.pdf))
77. Representations of integers by an invariant polynomial and unipotent flows.
\
(with A. Eskin), Duke Math. J., Vol 135 (2006), 481–506 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/linnik.pdf))
78. Ergodic theoretic proof of equidistribution of Hecke points.
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(with A. Eskin), Erg. The & Dyn. Sys, Vol 26 (2006), 163–167 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/erghecke.pdf))
79. On uniform exponential growth for linear groups.
\
(with A. Eskin and S. Mozes), Inventiones Math. Vol 160 (2005), 1–30 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/uniformexponential.pdf))
80. Lattice action on finite volume homogeneous spaces.
\
J. Korean Math. Soc., Vol 42 (2005), 635–653 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/lat.pdf))
81. The Ruziewicz problem and distributing points on homogeneous spaces of a compact Lie group.
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Israel J. Math (Furstenberg volume), Vol 149 (2005), 301–316 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/compact.pdf))
82. On a problem concerning arithmeticity of discrete groups acting on H…H.
\
In “Algebraic groups and Arithmetic” (TIFR, India) ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/little.pdf))
83. Harmonic analysis and Hecke operators.
\
In “Rigidity in Dynamics and Geometry”, Springer-Verlag, edited by Burger and Iozzi ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/newton.pdf))
84. Hardy-Littlewood system and representations of integers by an invariant polynomial.
\
Geom. and Funct. Analysis, Vol 14 (2004) 791–809 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/hl.pdf))
85. Finiteness of compact maximal flats of bounded volume.
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Ergod. Th and Dynam. Sys. Vol 24 (2004), 217–225 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/volume.pdf))
86. Cartan decomposition subgroups of SO(2,n).
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(with D. Witte), Trans. AMS Vol 356 (2004) 1–38 ([pdf](https://gauss.math.yale.edu/~ho2/doc/cds.pdf))
87. Equidistribution of integer points on a family of homogeneous varieties: a problem of Linnik.
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(with W. Gan), Compositio Math. Vol 136 (2003), 323–352 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/wt.pdf))
88. Uniform pointwise bounds for matrix coefficients of unitary representations and applications to Kazhdan constants.
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Duke Math. J., vol 113 (2002), pp. 133–192 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/mat.pdf))
89. Uniform exponential growth for linear groups. (announcement)
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(with A. Eskin and S. Mozes) Int. Math. Res. Not. no 31 (2002), 1675–1683
90. Compact Clifford-Klein forms of homogeneous spaces of SO(2,n).
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(with D. Witte), Geom. Dedicata, vol 89 (2002), 25–57 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/ck.pdf))
91. Hecke operators and equidistribution of Hecke points.
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(with L. Clozel and E. Ullmo), Inventiones Math., vol 144 (2001), pp. 327–351 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/hecke.pdf))
92. Adelic version of Margulis arithmeticity theorem.
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Math. Ann. vol 321 (2001), 4, pp. 789–815 ([pdf](https://campuspress.yale.edu/heeoh/files/2025/11/adele.pdf))
93. New examples of compact Clifford-Klein forms of homogeneous spaces of SO(2,n).
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