Publications and preprints by Sergei Ivanov

This page is last updated on February 14, 2012.

Papers on this page are preprint versions. They may differ from what was finally published.

Recent preprints

Large works

Journal publications

  1. (with D. Burago) Isometric embeddings of Finsler manifolds. Algebra i Analiz 5 (1993), 179-192 (Russian); St.Petersburg Math. J. 5 (1994), 159-169 (English).
  2. (with D. Burago) Riemannian tori without conjugate points are flat. Geom. Funct. Anal. 4 (1994), 259-269.
  3. (with D. Burago) On asymptotic volume of tori. Geom. Funct. Anal. 5 (1995), 800-808.
  4. 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).
  5. (with D. Burago and B. Kleiner) On the structure of the stable norm of periodic metrics. Math. Research Letters 4 (1997), 791-808.
  6. (with M. de Rougemont) Interactive protocols on the reals. Proc. STACS 98, Lecture Notes in Computer Science, 1373 (1998), 499-510.
  7. 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).
  8. (with D. Burago) On asymptotic isoperimetric constant of tori. Geom. Funct. Anal. 8 (1998), 783-787
  9. (with M. de Rougemont) Interactive protocols over the reals. Comput. Complexity 8 (1999), no.4, 330-345.
  10. 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).
  11. A contractible geodesically complete space of curvature $\le 1$ 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).
  12. (with M. A. Vsemirnov, E. A. Girsh and E. Ya. Dantsin) Propositional satisfiability algorithms 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).
  13. (with D. Burago) On asymptotic volume of Finsler tori, minimal surfaces in normed spaces, and symplectic filling volume. Ann. of Math. (2) 156 (2002), no. 3, 891--914.
  14. (with M. G. Katz) Generalized degree and optimal Loewner-type inequalities. Israel J. Math., 141 (2004), 221-234. E-print: arXiv:math/0405019
  15. (with D. Burago) Gaussian images of surfaces and ellipticity of surface area functionals. Geom. Funct. Anal. 14 (2004), no. 3, 469-490.
  16. (with M. Brin and D. Burago) 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.
  17. (with V. Bangert, C. Croke and M. G. Katz) Filling area conjecture and ovalless real hyperelliptic surfaces. Geom. Funct. Anal. 15 (2005), 577-597. E-print: arXiv:math/0405583
  18. (with Yu. D. Burago and S. G. Malev) Remarks on Chebyshev coordinates. Zap. Nauchn. Sem. POMI 329 (2005), 5-13 (English); J. Math. Sci. (N. Y.) 140 (2007), no. 4, 497-501 (Russian). E-print: arXiv:math/0506580
  19. (with 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).
  20. (with V. Bangert, C. Croke and M. Katz) Boundary case of equality in Loewner-type inequalities. Trans. Amer. Math. Soc. 359 (2007), 1-17. E-print: arXiv:math/0406008
  21. (with D. Burago and 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.
  22. 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).
  23. (with D. Burago) Partially hyperbolic diffeomorphisms of 3-manifolds with Abelian fundamental groups. J. of Modern Dynamics 2 (2008), no.4, 541-580.
  24. (with D. Burago) 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.
  25. (with D. Burago and L. Polterovich) Conjugation-invariant norms on groups of geometric origin. In "Groups of Diffeomorphisms", Advanced Studies in Pure Mathematics 52, 2008, 221-250. E-print: arXiv:0710.1412.
  26. (with M. Brin and D. Burago) Dynamical coherence of partialy hyperbolic diffeomorphisms of the 3-torus. J. of Modern Dynamics 3 (2009), no.1, 1-11.
  27. (with D. Burago and N. Higson) Area spaces: first steps. Geom. Funct. Anal. 19 (2009), no. 3, 662--677.
  28. (with D. Burago) Boundary rigidity and filling volume minimality of metrics close to a flat one. Ann. of Math. (2) 171 (2010), no. 2, 1183--1211.
  29. (with D. Burago and S. Tabachnikov) Topological aspects of the Dvoretzky Theorem. J. Topol. Anal. 2 (2010), no. 4, 453--467. E-print: arXiv:0907.5041.
  30. Volume comparison via boundary distances. Proceedings of the International Congress of Mathematicians. Volume II, 769--784, Hindustan Book Agency, New Delhi, 2010. E-print: arXiv:1004.2505.
  31. Filling minimality of Finslerian 2-discs. Proc. Steklov Inst. Math. 273 (2011), 176--190. E-print: arXiv:0910.2257.
  32. On Gromov-Hausdorff stability in a boundary rigidity problem. Geometry & Topology 15 (2011), no. 2, 677--697. E-print: arXiv:1005.1052
  33. (with D. Burago) On intrinsic geometry of surfaces in normed spaces. Geometry & Topology 15 (2011), no. 4, 2275--2298. E-print: arXiv:1011.5670

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