My publications and preprints

This page was last updated on January 3, 2024.

Papers on this page are preprint versions. They may differ from the final publications.

Recent preprints

• C. Fefferman, S. Ivanov, M. Lassas, H. Narayanan. Fitting a manifold to data in the presence of large noise. arXiv:2312.10598.

• S. Ivanov, D. Mamaev, A.Nordskova. Local Kakutani's ellipsoid characterization. arXiv:2311.12231.

• C. Fefferman, S. Ivanov, M. Lassas, J. Lu, H. Narayanan. Reconstruction and interpolation of manifolds II: Inverse problems for Riemannian manifolds with partial distance data. arXiv:2111.14528.

• D. Burago, S. Ivanov, M. Lassas, J. Lu. Stability of the Gel'fand inverse boundary problem via the unique continuation. arXiv:2012.04435.

• C. Fefferman, S. Ivanov, M. Lassas, H. Narayanan. Fitting a manifold of large reach to noisy data arXiv:1910.05084, to appear in Journal of Topology and Analysis, DOI 10.1142/S1793525323500012.

Large works

• Dmitri Burago, Yuri Burago and Sergei Ivanov. A Course in Metric Geometry. Graduate Studies in Mathematics, vol.33. A.M.S., Providence, RI, 2001. xiv+415 pp. ISBN: 0-8218-2129-6.

  Errata to the English edition (PDF)

  Russian edition: Д. Ю. Бураго, Ю. Д. Бураго, С. В. Иванов. Курс метрической геометрии. Москва-Ижевск: Институт компьютерных исследований, 2004, 512 стр. ISBN: 5-93972-300-4.

• Volumes and areas in metric geometry. D.Sc. (Habilitation) thesis, 2009, in Russian.

  Summary (32 pages), Full text (216 pages).

• Geometry of periodic metrics and volumes of limit Finsler manifolds. Ph.D. thesis, 1995, in Russian.

  Summary (13 pages), Full text (70 pages).

Published papers

56. S. Ivanov, D. Mamaev, A.Nordskova. Banach's isometric subspace problem in dimension four. Invent. Math. 233 (2023), 1393-1425
    DOI: 10.1007/s00222-023-01197-2, preprint: arXiv:2204.00936.

55. D. Burago, D. Chen, S. Ivanov. Flexibility of sections of nearly integrable Hamiltonian systems. Commun. Contemp. Math. 25 (2023), no. 4, Paper No. 2250028, 23 pp.
    DOI: 10.1142/S0219199722500286, preprint: arXiv:2009.11651,

54. D. Burago, S. Ivanov, Y. Kurylev, J. Lu. Approximations of the connection Laplacian spectra. Math. Z. 301 (2022), 3185-3206.
    DOI: 10.1007/s00209-022-03016-5, preprint: arXiv:2012.09997.

53. S. Ivanov. Distance difference functions on non-convex boundaries of Riemannian manifolds. Algebra i Analiz, 33 (2021), no 1, 81-92 (Russian); St. Petersburg Math. J. 33 (2022), 57-64 (English).
    DOI: 10.1090/spmj/1689, preprint: arXiv:2008.13153.

    Russian reference: С. В. Иванов, Разностно-дистанционные функции на невыпуклых краях римановых многообразий, Алгебра и анализ, 33:1 (2021), 81-92.
    Статья на mathnet.ru.

52. D. Burago, S. Ivanov. Examples of exponentially many collisions in a hard ball system. Ergodic Theory Dynam. Systems 41 (2021), no. 9, 2754-2769.
    DOI: 10.1017/etds.2020.54, preprint: arXiv:1809.02800.

51. R.L. Bryant, P. Foulon, S. Ivanov, V.S. Matveev, W. Ziller. Geodesic behavior for Finsler metrics of constant positive flag curvature on S². J. Differential Geom. 117 (2021), no. 1, 1-22.
    DOI: 10.4310/jdg/1609902015, preprint: arXiv:1710.03736.

50. C. Fefferman, S. Ivanov, Y. Kurylev, M. Lassas, H. Narayanan. Reconstruction and interpolation of manifolds I: The geometric Whitney problem. Found. Comput. Math. 20 (2020), no. 5, 1035–1133.
    DOI: 10.1007/s10208-019-09439-7, preprint: arXiv:1508.00674

49. D. Burago, S. Ivanov, A. Novikov. Feeble fish in time-dependent waters and homogenization of the G-equation. Comm. Pure Appl. Math. 73 (2020), no. 7, 1453–1489.
    DOI: 10.1002/cpa.21878, preprint: arXiv:1712.08395.

48. C. Fefferman, S. Ivanov, Y. Kurylev, M. Lassas, H. Narayanan. Reconstruction of a Riemannian Manifold from Noisy Intrinsic Distances. SIAM J. Math. Data Sci. 2 (2020), no. 3, 770–808.
    DOI: 10.1137/19M126829X. preprint: arXiv:1905.07182.

47. S. Ivanov. Distance difference representations of Riemannian manifolds. Geom. Dedicata 207 (2020), 167–192.
    DOI: 10.1007/s10711-019-00491-9, preprint: arXiv:1806.05257.

46. S. Ivanov, A. Lytchak. Rigidity of Busemann convex Finsler metrics. Comment. Math. Helv. 94 (2019), no. 4, 855-868.
    DOI: 10.4171/CMH/476, preprint: arXiv:1711.02951.

45. D. Burago, S. Ivanov, Y. Kurylev. Spectral stability of metric-measure Laplacians. Israel J. Math. 232 (2019), no. 1, 125-158.
    DOI: 10.1007/s11856-019-1865-7, preprint: arXiv:1506.06781.

44. S. Ivanov. Monochromatic Finsler surfaces and a local ellipsoid characterization. Proc. Amer. Math. Soc. 146 (2018), no. 4, 1741-1755.
    DOI: 10.1090/proc/13894, preprint: arXiv:1702.03340

43. D. Burago, S. Ivanov, A. Novikov. A survival guide for feeble fish. Algebra i Analiz, 29 (2017), no.1, 49-59; St. Petersburg Math. J. 29 (2018), no. 1, 33-41.
    DOI: 10.1090/spmj/1480, preprint: arXiv:1605.01702

42. D. Burago, S. Ivanov. Boundary distance, lens maps and entropy of geodesic flows of Finsler metrics. Geom. Topol. 20 (2016), no. 1, 469-490.
    DOI: 10.2140/gt.2016.20.469, preprint: arXiv:1405.6372

41. D. Burago, S. Ivanov. Uniform approximation of metrics by graphs. Proc. Amer. Math. Soc. 143 (2015), no. 3, 1241-1256.
    DOI: 10.1090/S0002-9939-2014-12299-4, preprint: arXiv:1210.2435.

40. D. Burago, S. Ivanov, Y. Kurylev. A graph discretization of the Laplace-Beltrami operator. J. Spectr. Theory 4 (2014), no. 4, 675-714.
    DOI: 10.4171/JST/83, Preprint: arXiv:1301.2222.

39. S. Ivanov. On Helly's theorem in geodesic spaces. Electron. Res. Announc. Math. Sci. 21 (2014), 109-112.
    DOI: 10.3934/era.2014.21.109, Preprint: arXiv:1401.6654.

38. S. Ivanov, V. Kapovitch. Manifolds without conjugate points and their fundamental groups. J. Diff. Geom. 96 (2014), no. 2, 223-240.
    DOI: 10.4310/jdg/1393424918, Preprint: arXiv:1205.4455.

37. D. Burago, S. Ivanov. Polyhedral Finsler spaces with locally unique geodesics. Adv. Math. 247 (2013), 343-355.
    Preprint: arXiv:1210.5286.

36. D. Burago, S. Ivanov. Area minimizers and boundary rigidity of almost hyperbolic metrics. Duke Math. J. 162 (2013), no. 7, 1205-1248.
    Preprint: arXiv:1011.1570.

35. S. Ivanov. Local monotonicity of Riemannian and Finsler volume with respect to boundary distances. Geometriae Dedicata 164 (2013), no. 1, 83-96.
    Preprint: arXiv:1109.4091.

34. D. Burago, S. Ivanov. Minimality of planes in normed spaces. Geom. Funct. Anal. 22 (2012), no. 3, 627-638.
    Preprint: arXiv:1204.1543.

33. D. Burago, S. Ivanov. On intrinsic geometry of surfaces in normed spaces. Geom. Topol. 15 (2011), no. 4, 2275-2298.
    Preprint: arXiv:1011.5670.

32. S. Ivanov. On Gromov-Hausdorff stability in a boundary rigidity problem. Geom. Topol. 15 (2011), no. 2, 677-697.
    Preprint: arXiv:1005.1052.

31. S. V. Ivanov. Filling minimality of Finslerian 2-discs. Proc. Steklov Inst. Math. 273 (2011), 176-190.
    Preprint: arXiv:0910.2257.

    Russian reference: S. V. Ivanov, Filling minimality of Finslerian 2-discs, Тр. МИАН, 273 (2011), 192-206.
    Статья на mathnet.ru.

30. S. Ivanov. Volume comparison via boundary distances. Proceedings of the International Congress of Mathematicians. Volume II, 769-784, Hindustan Book Agency, New Delhi, 2010.
    Preprint: arXiv:1004.2505.

29. D. Burago, S. Ivanov, S. Tabachnikov. Topological aspects of the Dvoretzky Theorem. J. Topol. Anal. 2 (2010), no. 4, 453-467.
    Preprint: arXiv:0907.5041.

28. D. Burago, S. Ivanov. Boundary rigidity and filling volume minimality of metrics close to a flat one. Annalls of Math. 171 (2010), no. 2, 1183-1211.
    Preprint: local pdf.

27. D. Burago, S. Ivanov, N. Higson. Area spaces: first steps. Geom. Funct. Anal. 19 (2009), no. 3, 662-677.
    Preprint: local pdf.

26. M. Brin, D. Burago, S. Ivanov. Dynamical coherence of partialy hyperbolic diffeomorphisms of the 3-torus. J. of Modern Dynamics 3 (2009), no.1, 1-11.
    Preprint: local pdf.

25. D. Burago, S. Ivanov, L. Polterovich. Conjugation-invariant norms on groups of geometric origin. In "Groups of Diffeomorphisms", Advanced Studies in Pure Mathematics 52, 2008, 221-250.
    Preprint: arXiv:0710.1412.

24. D. Burago, S. Ivanov. A remark on the group of PL-homeomorphisms in dimension one. In "Geometric and Probabilistic Structures in Dynamics" (K. Burns, D. Dolgopyat, Ya. Pesin eds.) Contemporary Mathematics 469, 2008, 141-148.
    Preprint: local pdf.

23. D. Burago, S. Ivanov. Partially hyperbolic diffeomorphisms of 3-manifolds with Abelian fundamental groups. J. of Modern Dynamics 2 (2008), no.4, 541-580.
    Preprint: local pdf.

22. S. Ivanov. Volumes and areas of Lipschitz metrics. Algebra i Analiz 20 (2008), no. 3, 74-111 (Russian); St. Petersburg Math. J. 20 (2009), no. 3, 381-405 (English).
    Preprint: local pdf.

    Russian reference: С. В. Иванов, Объемы и площади липшицевых метрик, Алгебра и анализ, 20:3 (2008), 74-111.
    Статья на mathnet.ru.

21. D. Burago, S. Ivanov, D. Shoenthal. Two counterexamples in low-dimensional length geometry. Algebra i Analiz 19 (2007), no.1, 46-59; St. Petersburg Math. J. 19 (2008), no. 1, 33-43.
    Preprint: local pdf.

    Russian reference: D. Burago, S. Ivanov, D. Shoenthal, Two counterexamples in low-dimensional length geometry, Алгебра и анализ, 19:1 (2007), 46-59.
    Статья на mathnet.ru.

20. V. Bangert, C. Croke, S. Ivanov, M. Katz. Boundary case of equality in Loewner-type inequalities. Trans. Amer. Math. Soc. 359 (2007), 1-17.
    Preprint: arXiv:math/0406008.

19. S. V. Ivanov, A. I. Nazarov. Weighted Sobolev-type embedding theorems for functions with symmetries. Algebra i Analiz 18 (2006), no.1, 108-123 (Russian); St. Petersburg Math. J. 18 (2007), no.1, 77-88 (English).
    DOI: 10.1090/S1061-0022-06-00943-5,

    Russian reference: С. В. Иванов, А. И. Назаров, О теоремах вложения Соболева с весом для функций с симметриями, Алгебра и анализ, 18:1 (2006), 108-123.
    Статья на mathnet.ru.

18. Yu. D. Burago, S. V. Ivanov, S. G. Malev. Remarks on Chebyshev coordinates. Zap. Nauchn. Sem. POMI 329 (2005), 5-13 (Russian); J. Math. Sci. (N. Y.) 140 (2007), no. 4, 497-501 (English).
    Preprint: arXiv:math/0506580,

    Russian reference: Ю. Д. Бураго, С. В. Иванов, С. Г. Малев, Замечания о чебышевских координатах, Геометрия и топология. 9, Зап. научн. сем. ПОМИ, 329 (2005), 5-13.
    Статья на mathnet.ru.

17. V. Bangert, C. Croke, S. Ivanov, M. G. Katz. Filling area conjecture and ovalless real hyperelliptic surfaces. Geom. Funct. Anal. 15 (2005), 577-597.
    Preprint: arXiv:math/0405583

16. M. Brin, D. Burago, S. Ivanov. On partially hyperbolic diffeomorphisms of 3-manifolds with commutative fundamental groups. In "Modern Dynamical Systems and Application" (M. Brin, B. Hasselblatt, Y. Pesin eds.), Cambridge University Press, 2004, pp. 307-312.
    Preprint: local pdf.

15. D. Burago, S. Ivanov. Gaussian images of surfaces and ellipticity of surface area functionals. Geom. Funct. Anal. 14 (2004), no. 3, 469-490.
    Preprint: local pdf.

14. S. Ivanov, M. G. Katz. Generalized degree and optimal Loewner-type inequalities. Israel J. Math., 141 (2004), 221-234.
    Preprint: arXiv:math/0405019

13. D. Burago, S. Ivanov. On asymptotic volume of Finsler tori, minimal surfaces in normed spaces, and symplectic filling volume. Annals of Math. 156 (2002), no. 3, 891-914.
    Preprint: local pdf.

12. M. A. Vsemirnov, E. A. Hirsch, E. Ya. Dantsin, S. V. Ivanov. Algorithms for SAT and upper bounds for their complexity. Zap. Nauchn. Sem. POMI 277 (2001), 14-46 (Russian); J. Math. Sci. (N. Y.) 118 (2003), no. 2, 4948-4962 (English).

    Russian reference: М. А. Всемирнов, Э. А. Гирш, Е. Я. Данцин, С. В. Иванов, Алгоритмы для пропозициональной выполнимости и верхние оценки их сложности, Теория сложности вычислений. VI, Зап. научн. сем. ПОМИ, 277 (2001), 14-46.
    Статья на mathnet.ru.

11. S. Ivanov. A contractible geodesically complete space of curvature ≤1 with arbitrarily small diameter. Algebra i Analiz 13 (2001), no.4, 110-118 (Russian); St. Petersburg Math. J. 13 (2002), no.4, 593-599 (English).
    Preprint: local pdf.

    Russian reference: С. В. Иванов, Стягиваемое геодезически полное пространство кривизны ≤1 со сколь угодно малым диаметром, Алгебра и анализ, 13:4 (2001), 110–118.
    Статья на mathnet.ru.

10. S. Ivanov. On two-dimensional minimal fillings. Algebra i Analiz 13 (2001), no. 1, 26-38 (Russian); St. Petersburg Math. J., 13 (2002), no.1, 17-25 (English).
    Preprint: local pdf.

    Russian reference: С. В. Иванов, О двумерных минимальных заполнениях, Алгебра и анализ, 13:1 (2001), 26-38.
    Статья на mathnet.ru.

9. S. Ivanov, M. de Rougemont. Interactive protocols over the reals. Comput. Complexity 8 (1999), no.4, 330-345.

8. D. Burago, S. Ivanov. On asymptotic isoperimetric constant of tori. Geom. Funct. Anal. 8 (1998), 783-787.
   Preprint: local pdf.

7. S. Ivanov. On convergent metrics of curvature bounded above on 2-polyhedra. Algebra i Analiz 10 (1998), 783-787 (Russian); St. Petersburg Math. J. 10 (1999), no.4, 663-670 (English).
   Preprint: local pdf.

   Russian reference: С. В. Иванов, О сходящихся метриках ограниченной сверху кривизны на двумерных полиэдрах, Алгебра и анализ, 10:4 (1998), 130-141.
   Статья на mathnet.ru.

6. S. Ivanov, M. de Rougemont. Interactive protocols on the reals. Proc. STACS 98, Lecture Notes in Computer Science, 1373 (1998), 499-510.

5. D. Burago, S. Ivanov, B. Kleiner. On the structure of the stable norm of periodic metrics. Math. Research Letters 4 (1997), 791-808.
   Preprint: local pdf.

4. S. Ivanov. Gromov-Hausdorff convergence and volumes of manifolds. Algebra i Analiz 9 (1997), no.5, 65-83 (Russian); St. Petersburg Math. J. 9 (1998), no.5, 945-959 (English).
   Preprint: local pdf.

   Russian reference: С. В. Иванов, Сходимость по Громову–Хаусдорфу и объемы многообразий, Алгебра и анализ, 9:5 (1997), 65-83.
   Статья на mathnet.ru.

3. D. Burago, S. Ivanov. On asymptotic volume of tori. Geom. Funct. Anal. 5 (1995), 800-808.
   Preprint: local pdf.

2. D. Burago, S. Ivanov. Riemannian tori without conjugate points are flat. Geom. Funct. Anal. 4 (1994), 259-269.
   Preprint: local pdf.

1. D. Burago, S. Ivanov. Isometric embeddings of Finsler manifolds. Algebra i Analiz 5 (1993), 179-192 (Russian); St.Petersburg Math. J. 5 (1994), 159-169 (English).

   Russian reference: Д. Ю. Бураго, С. Иванов, Изометрические вложения финслеровых многообразий, Алгебра и анализ, 5:1 (1993), 179-192.
   Статья на mathnet.ru.

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