Станислав Смирнов

профессор / Сколковский институт науки и технологий
профессор / Женевский университет

Профессиональные интересы:
математическая физика, комплексный анализ, динамические системы, теория вероятностей

Образование, учёные степени
1992 / Санкт-Петербургский государственный университет, механико-математический факультет / специальность “Математика”
1996 / Калифорнийский технологических университет / Ph.D, математика,

Автор работ в области предельного поведения двумерных решётчатых моделей: перколяций и модели Изинга.
В 2010 г. удостоен Филдсовской медали “за доказательство конформной инвариантности двумерной перколяции и модели Изинга в статистической физике”.
Лауреат премии Салема (2001), премии Математического института Клея (2001), премии Грана Густафсона (2001), премии Европейского математического общества (2004).

Основные публикации

  1. A. Kemppainen, S. Smirnov, “Configurations of FK Ising interfaces and hypergeometric SLE”, Math. Res. Lett., (2017) [ PDF: English, arXiv: 1704.02823 ]
  2. A. Kemppainen, S. Smirnov, “Conformal invariance in random cluster models. II. Full scaling limit as a branching SLE”, [ PDF: English, arXiv: 1609.08527 ]
  3. A. Kemppainen, S. Smirnov, “Conformal invariance of boundary touching loops of FK Ising model”, [ PDF: English, arXiv: 1509.08858 ]
  4. D. Chelkak, A. Glazman, S. Smirnov, “Discrete stress-energy tensor in the loop O(n) model”, [ PDF: English, arXiv: 1604.06339 ]
  5. V. Beffara, H. Duminil-Copin, S. Smirnov, “On the critical parameters of the q≥4 random-cluster model on isoradial graphs”, J. Phys. A, Math. Theor. 48:48 (2015), 28. [ PDF: English, arXiv: 1507.01356 ]
  6. A. Kemppainen, S. Smirnov, “Random curves, scaling limits and Loewner evolutions”, [ PDF: English, arXiv: 1212.6215 ]
  7. D. Chelkak, H. Duminil-Copin, C. Hongler, A. Kemppainen, S. Smirnov, “Convergence of Ising interfaces to Schramm’s SLE curves”, C. R. Acad. Sci. Paris Sér. I Math., 352 (2014) 157–161. [ PDF: English, arXiv: 1312.0533 ]
  8. H. Duminil-Copin, S. Smirnov, “Conformal invariance of lattice models”, in Probability and statistical physics in two and more dimensions, 213–276, Clay Math. Proc., 15, Amer. Math. Soc., Providence, RI, 2012.[ PDF: English, arXiv: 1109.1549 ]
  9. S. Smirnov, O. Schramm, “On the scaling limits of planar percolation”, Annals of Probability 2011, Vol. 39, No. 5, 1768-1814. [ PDF: English, arXiv: 1101.5820 ]
  10. C. Hongler, S. Smirnov, “The energy density in the planar Ising model”, Acta Math., 211 (2013), no. 2, 191-225. [ PDF: English, arXiv: 1008.2645 ]
  11. H. Duminil-Copin, S. Smirnov, “The connective constant of the honeycomb lattice equals $\sqrt{2+\sqrt2}$”, Ann. Math., 175 (2012), 1653-1665. [ PDF: English, arXiv: 1007.0575 ]
  12. D. Chelkak, S. Smirnov, “Universality in the 2D Ising model and conformal invariance of fermionic observables”, Inv. Math. 189 (2012), 515-580. [ PDF: English, arXiv: 0910.2045 ]
  13. D. Chelkak, S. Smirnov, “Discrete complex analysis on isoradial graphs”, Adv. in Math. 228 (2011), 1590–1630. [ PDF: English, arXiv: 0810.2188 ]
  14. S. Smirnov, “Discrete Complex Analysis and Probability”, Proc. of the International Congress of Mathematicians (ICM), Hyderabad, India, 2010, 595-621. [ PDF: English, arXiv: 1009.6077 ]
  15. I. Prause, S. Smirnov, “Quasisymmetric distortion spectrum”, Bull. London Math. Soc. (2011) 43 (2): 267-277. [ PDF: English, arXiv: 0910.4723 ]
  16. N. Makarov, S. Smirnov, “Off-critical lattice models and massive SLEs”, [ PDF: English, arXiv: 0909.5377 ]
  17. S. Smirnov, “Critical percolation in the plane”, [ PDF: English, arXiv: 0909.4499 ]
  18. C. Hongler, S. Smirnov, “Critical percolation: the expected number of clusters in a rectangle”, Probab. Theory Relat. Fields 151 (2011), 735–756. [ PDF: English, arXiv: 0909.4490 ]
  19. D. Beliaev, E. Järvenpää, M. Järvenpää, A. Käenmäki, T. Rajala, S. Smirnov, V. Suomala, “Packing dimension of mean porous measures”, J. Lond. Math. Soc. 80 (2009), no. 2, 514-530. [ PDF: English, arXiv: 0705.2447 ]
  20. S. Smirnov, “Dimension of quasicircles”, Ann. Math., 172 (2010), 597-615. [ PDF: English, arXiv: 0904.1237 ]
  21. J. Graczyk, S. Smirnov, “Non-uniform hyperbolicity in complex dynamics”, Inv. Math. 175 (2009), no. 2, 335-415. [ PDF: English, arXiv: 0810.2309 ]
  22. D. Beliaev, S. Smirnov, “Harmonic measure and SLE”, Comm. Math. Phys. 290 (2009), no. 2, 577-596. [ PDF: English, arXiv: 0801.1792 ]
  23. S. Smirnov, “Conformal invariance in random cluster models. I. Holomorphic fermions in the Ising model”, Ann. Math., 172 (2010), 1435-1467. [ PDF: English, arXiv: 0708.0039 ]
  24. S. Smirnov, “Towards conformal invariance of 2D lattice models”, Proc.Int.Congr.Math. 2:1421-1451, 2006. [ PDF: English, arXiv: 0708.0032 ]
  25. D. Beliaev, S. Smirnov, “Random conformal snowflakes”, Exner Pavel (ed.), XVIth International Congress on Mathematical Physics, Prague, 3-8 August 2009. 362-371, World Sci. Publ., Singapore. [ PDF: English, arXiv: math/0701463 ]
  26. D. Beliaev, S. Smirnov, “On Littlewood’s constants”, Bull. London Math. Society, 37:5(2005) 719-726
  27. D. Beliaev, S. Smirnov, “Harmonic measure on fractal sets”, in A. Laptev (ed.), European Congress of Mathematics, Stockholm, Sweden,. 41-59, Zürich: European Mathematical Society, 2005.
  28. F. Przytycki, J. Rivera, S. Smirnov, “Equality of pressures for rational functions”, Ergodic Theory Dynamical Systems, 24:3(2004) 891-914
  29. N. Makarov, S. Smirnov, “On thermodynamics of rational maps II. Non-recurrent maps”, J. London Math. Society, 67:2(2003) 417-432
  30. F. Przytycki, J. Rivera, S. Smirnov, “Equivalence and topological invariance of conditions for non-uniform hyperbolicity in the iteration of rational maps”, Inv. Math. 151:1(2003), 29-63.
  31. I. Binder, N. Makarov, S. Smirnov, “Harmonic measure and polynomial Julia sets”, Duke Math. J. 117:2(2003) 343-365.
  32. S. Smirnov, “Critical percolation and conformal invariance”, in J.-C. Zambrini (ed.), XIVth International Congress on Mathematical Physics, Lisbon, Portugal, July 28 – August 2, 2003. 99-112, World Sci. Publ., Hackensack, NJ.
  33. D. Beliaev, S. Smirnov, “On dimension of porous measures”, Math. Ann. 323:1(2002) 123-141
  34. S. Smirnov, W. Werner, “Critical exponents for two-dimensional percolation”, Math. Research Letters 8:5-6, (2001), 729-744. [ PDF: English, arXiv: math/0109120 ]
  35. S. Smirnov, “Critical percolation in the plane: conformal invariance, Cardy’s formula, scaling limits”, C. R. Acad. Sci. Paris Sér. I Math., 333:3 (2001), 239–244
  36. S. Smirnov, “On support of dynamical laminations and biaccessible points in Julia set”, Colloq. Math. 87:2 (2001), no. 2, 287-295
  37. N. Makarov, S. Smirnov, “On thermodynamics of rational maps I. Negative spectrum”, Comm. Math. Phys. 211:3 (2000), 705-743
  38. S. Smirnov, “Symbolic dynamics and Collet-Eckmann conditions”, Internat. Math. Res. Notices, 2000, no. 7, 333–351
  39. P. Jones, S. Smirnov, “Removability theorems for Sobolev functions and quasiconformal maps”, Ark. Mat., 38:2 (2000), 263–279
  40. P. Jones, S. Smirnov, “Note on V. I. Smirnov domains”, Ann. Acad. Sci. Fenn. 24 (1999), no. 1, 105-108.
  41. С.К. Смирнов, В.П. Хавин, “Задачи приближения и продолжения для некоторых классов векторных полей”, Алгебра и анализ, 10:3 (1998), 133–162; St. Petersburg Math. J., 10:3 (1999), 507–528
  42. J. Graczyk, S. Smirnov, “Collet, Eckmann and Hölder”, Invent. Math., 133:1 (1998), 69–96
  43. N. Makarov, S. Smirnov, “Phase transition in subhyperbolic Julia sets”, Ergodic Theory Dynam. Systems, 16 (1996), no. 1, 125-157.
  44. S. Smirnov, “Spectral analysis of Julia sets”, Ph.D. Thesis, California Institute of Technology, 1996
  45. С.К. Смирнов, “Разложение соленоидалыных векторных зарядов на элементарные соленоиды и структура нормальных одномерных потоков”, Алгебра и анализ, 5:4 (1993), 206–238; St. Petersburg Math. J., 5:4 (1994), 841–867