Main publications:

41. D.Ch.Chang, I.Markina, A. Vasiliev: Hopf Fibration: Geodesics and Distances. J. Geom. Phys.
      2011, V. 61, P. 986--1000.   Pdf file

39. I.Markina, A. Vasiliev. Virasoro algebra and dynamics in the space of univalent functions.
      Contemporary Math. 2010, V 525, P. 85 – 116.  Pdf file

37. O. Calin, D.Ch.Chang, I.Markina: Sub-Riemannian geodesics on the sphere S^3.
      Can. J. Math. 2009, V. 61, N 4, 721--739.   Pdf file

36. O. Calin, D.Ch.Chang, I.Markina: Generalized Hamilton - Jacobi equation and heat kernel on step two
      nilpotent Lie groups. Proceedings of the conference"Harmonic and complex analysis and its applications".
      Anal.Math.Phys. Trends in Math. 2009, 49-76.   Pdf file

35. O. Calin, D.Ch.Chang, I.Markina: Geometric analysis on H-type groups related to the division algebras.
      Math. Nach. 2009, V. 282, N 1, 44-68.   Pdf file

34. D.Ch.Chang, I.Markina, A. Vasiliev: Sub-Riemannian geodesics on 3-D sphere. Complex Anal. Oper.
     Theory. 2008.   Pdf file

33. D.Ch.Chang, I.Markina, A. Vasiliev: Sub-Lorentzian geometry on anti de Sitter space. J. Math. Pures
     Appl. 2008, V. 90 (9), N. 1, P. 82--110. Pdf file

32. Chang D.Ch., Markina I. Quaternion H-type group and differential operator ∆_λ. Science in China Ser. A.
      Mathematics. 2008, V. 51, N. 4, P. 523--540.

31. Chang D. Ch., Markina I.  Geometric analysis on anisotropic quaternion Carnot groups. Dokl. 
     Acad. Sci. Rus. 2008, V. 77, N. 1, P. 124--129.  Pdf file

30. Chang D.Ch., Markina I. Anisotropic quaternion Carnot groups: geometric analysis and 
      Green’s function. Adv. Appl. Math. 2007, V. 39, P. 345--394. Pdf file

29. Hidalgo R., Markina I., Vasiliev A. Finite dimensional grading on the Virasoro algebra. Georgian
      Math. J. 2007, V. 14, N. 3, P. 419--434. Pdf file

28. Markina I., Prokhorov V. D., Vasil’ev A. Sub-Riemannian geometry of the coefficients of 
      univalent functions. J. Func. Anal. 2007, V. 245, P. 475--492. Pdf fle

27. Markina I., Meneses R., Vasil’ev A.  Generalizations of Kadanoff's solution of the 
      Saffman--Taylor problem in a wedge. Appl. Anal. 2007, V. 86, N. 2, P. 239--250.  Pdf file

26.  Markina I., Vodop'yanov S. On value distribution for quasimeromorphic mappings on   
       H-type Carnot groups. Bull. Sci. math. 2006, V. 130, P. 467--523.  Pdf file

25.  Chang D.-Ch., Markina I. Geometric analysis on quaternion H-type groups. J. Geom. Anal. 
       2006, V. 16, N. 2, P. 265--294.  Pdf file

24.  Markina I. Singularities of quasiregular mappings on Carnot groups. Sc. Ser. A Math. Sci. 
       (N.S.) 2005, V. 11, P. 69--81.  Pdf file

23.  Markina I. Module of vector measures on the Heisenberg group. Contemp. Math. 2005, V.  
      382, P. 291--304.  Pdf file

22.  Markina I., Vodop'yanov S. On value distribution for quasimeromorphic mappings on   
       polarizable Carnot groups. Dokl. Acad. Sci. Rus. 2005, V. 403, N. 3, P. 300--304.  Pdf file

21. Markina I., Vasil’ev A. Explicit solutions for the Hele-Shaw corner flows. Euro. J.
      Appl. Math. 2004, V. 15, N. 6, P. 781--789.  Pdf file

20.  Markina I. P-module of vector measures in domains with intrinsic metric on Carnot
       groups.  Tohoku Math. J. 2004, V.54, N. 4, P. 553--569. Pdf file 

19. Markina I. Extremal widths on homogeneous groups. Complex Variables. 2003,
      V.48, N. 11, P. 947-960. Pdf file 

18. Markina I., Vasil'iev A. Long-pin perturbations of the trivial solution for Hele-
      Shaw corner flows.  Sci. Ser. A Math.  Sci. (N.S.). 2003, V. 9, P. 33- 43. Pdf file

17. Markina I. Extremal length for quasiregular mappings on Heisenberg groups. J.
      Math. Anal. Appl. 2003, V. 284. N. 2. P. 532--547.  Pdf file

16. Markina I. Hausdorff measure of the singular set of quasiregular maps on Carnot
      groups. Int. J. Math. Math. Sci. 2003, N. 35, P. 2203--2220. Pdf file 

15. Markina I. Extremal lengths for mappings with bounded s-distortion on Carnot
      groups. Bol. Soc. Mat. Mexicana (3) 2003, V. 9, N. 1, P. 89--108. Pdf file 

14. Vasil'ev A., Markina I. On the geometry of Hele-Shaw flows with small surface
      tension. Interfaces Free Bound. 2003, V. 5, N. 2, P. 183-192. Pdf file

13. Markina I. On coincidence of p-module of a family of curves and p-capacity on the
      Carnot group. Rev. Mat. Iberoamericana 2003, V. 19, N. 1, P. 143--160. Pdf file

12. Markina I. On local homeomorphism of mappings with bounded distortion with the
      coefficient of distortion close to identity. Geometry and analysis. Sci. Ser. A Math.
      Sci. (N.S.) 2002, V. 8, P. 21--42.  Pdf file 

11. Markina I. G.  On the coincidence p-modulus of a family of curves and p-capacity of
      a condenser  in the metric space with controlled geometry. Proceedings of 11-th
      Siberian school: Algebra, geometry, analysis and mathematical physics.
      (Novosibirsk, August 1 - 9, 1998) Novosibirsk, 1999, P. 83--92.

10. Markina I. G., Vodop'yanov S.K. Local estimates of   change of mappings with
      bounded s-distortion on the Carnot groups. Proceedings of 11-th Siberian school:
      Algebra, geometry, analysis and mathematical physics. (Novosibirsk, August 1 - 9,
      1998) Novosibirsk. 1999, P. 28 -- 53.
   
9.   Markina I.G., Vodop’yanov S.K. Classification of sub-Riemannian manifolds.
      (Russian) Sibirsk. Mat. Zh. 1998, V. 39, N. 6, P. 1271--1289; translation in Siberian
      Math. J. 1998, V. 39, N. 6, P. 1096—1111.  Pdf file

8.   Markina I. G., Vodop'yanov S.K. Foundations of the nonlinear potential theory of
      subelliptic equations. (Russian) Dokl. Acad. Nauk 1998, V. 359, N. 2, P. 155--158.

7.   Markina I.G., Vodop'yanov S. K. Fundamentals of the nonlinear potential theory for
      subelliptic equations. II. Siberian Advances in Mathematics. Siberian Adv. Math.
      1997, V. 7, N. 2, P.18--63. Pdf file

6.   Markina I.G., Vodop'yanov S. K. Fundamentals of the nonlinear potential theory for
      subelliptic equations. I. Siberian Advances in Mathematics. Siberian Adv. Math.
      1997, V. 7, N. 1, P. 32--62. Pdf file

5.   Markina I. G. Classification of sub-Riemannian manifolds. (Russian) Algebra,
      geometry, analysis and mathematical physics (Russian) (Novosibirsk, 1996), 176—
      178, 192, Izdat. Ross. Akad. Nauk Sib. Otd. Inst. Mat., Novosibirsk, 1997.

4.   Markina I.G., Vodop'yanov S. K. Fundamentals of the nonlinear potential theory for
      subelliptic equations. (Russian) Sobolev spaces and related problems of analysis
      (Russian), 100--160, 198, Trudy Inst. Mat., 31, Izdat. Ross. Akad. Nauk Sib. Otd.
      Inst. Mat., Novosibirsk, 1996.

3.   Markina I.G., Vodop'yanov S. K. Exceptional sets for solutions of subelliptic
      equations. (Russian) Sibirsk. Mat. Zh. 1995, V. 36, N. 4, P. 805--818; translation in
      Siberian Math. J. 1995, V. 36, N. 4, P. 694—706. Pdf file

2.   Markina I.G. The multiplier space M(Hpm  Hq1). (Russian) Some applications of
      functional analysis to problems of mathematical physics (Russian), 106--120, 146,
      Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk, 1990.

1.   Markina I.G. The change of variable that preserves the differential properties of
      functions. (Russian) Sibirsk. Mat. Zh. 1990, V 31, N. 3, P. 73--84; translation in
      Siberian Math. J. 1991, V 31, N. 3, P. 422—432.