List of Publications

Alexander Vasil'ev

MONOGRAPHS

A.Vasil'ev: Moduli of families of curves for conformal and quasiconformal mappings. - ISBN 3-540-43846-7, Lecture Notes in Mathematics, vol. 1788, Springer-Verlag, Berlin- New York, 2002, 212 pp. (Now available in PDF format)

B.Gustafsson, A.Vasil'ev: Conformal and potential analysis in Hele-Shaw cells. - ISBN 3-7643-7703-8, Birkhäuser Verlag, 2006, 231 pp. Addendum 1 , Addendum 2 (Historical overview)

BOOKS EDITION

B.Gustafsson, A.Vasil'ev: Analysis and Mathematical Physics. - ISBN: 978-3-7643-9905-4, Trends in Mathematics, Birkhäuser Verlag, 2009, 514 pp.
B.Gustafsson, A.Vasil'ev: Complex Analysis and Mathematical Physics. - Compl. Anal. Oper. Theory 4 (2010), no. 3, 229 pp.

PAPERS (most recent first)

E.Grong, I. Markina, A.Vasil'ev: Sub-Riemannian geometry on infinite-dimensional manifolds.- arXiv: 1201.2251 [math.DG], 2012, 37 pp.

I. Markina, A.Vasil'ev: Evolution of smooth shapes and integrable systems.- arXiv: 1108.1007 [math-ph], 2011, 25 pp.
(2012) G. Ivanov, D. Prokhorov, A.Vasil'ev: Non-slit and singular solutions to the Loewner equation.- Bull. Sci. Math. 136 (2012), no. 3, 328-341.
(2012) I. Markina, A.Vasil'ev: Löwner-Kufarev evolution in the Segal-Wilson Grassmannian.- Geometric Methods in Physics. XXX Workshop 2011, Trends in Mathematics, Springer, Basel (2012), 367-376.

(2012) E.Grong, I. Markina, A.Vasil'ev: Sub-Riemannian structures corresponding to Kählerian metrics on the universal Teichmueller space and curve.- 60 Years of Analytic Functions in Lublin, Proceedings of the Conference in memory of J.G. Krzyz, Z.Lewandowski and W. Szapiel, Innovatio Press, Lublin, 2012, 97-116; arXiv:1202.6135 [math.DG], 2012, 18 pp.
(2011) G. Ivanov, A.Vasil'ev: Löwner evolution driven by a stochastic boundary point.- Anal. Math. Phys. 1 (2011), no. 4, 387-412.
(2011) E. Grong, A.Vasil'ev: Sub-Riemannian and sub-Lorentzian geometry on SU(1,1) and on its universal cover.- J. Geom. Mech. 3 (2011), no. 2, 225-260; arXiv: 0910.0945 [math.DG], 2009, 39 pp.

(2011) D.-Ch. Chang, I. Markina, A.Vasil'ev: Hopf fibration: geodesics and distances.- J. Geom. Physics 61 (2011), 986-1000; arXiv: 1009.4789 [math.DG], 2010, 22 pp.

(2010) D.-Ch. Chang, I. Markina, A.Vasil'ev: Modified action and differential operators on sub-Riemannian 3-D sphere.- Asian J. Math. 14 (2010), no. 4, 439-474; arXiv: 0809.2735v1 [math.DG], 2008, 35 pp.

(2010) I. Markina, A.Vasil'ev: Virasoro algebra and dynamics in the space of univalent functions.- Contemporary Math. 525 (2010), 85-116; arXiv: 0905.0813 [math-ph], 2009, 37 pp.
(2009) A. Vasil'ev: From the Hele-Shaw experiment to integrable systems: a historical overview.- Compl. Anal. Oper. Theory 3 (2009), no. 2, 551-585.
(2009) D.-Ch. Chang, I. Markina, A.Vasil'ev: Sub-Riemannian geodesics on the 3-D sphere.- Compl. Anal. Oper. Theory 3 (2009), no. 2, 361-377; arXiv: 0804.1695v2 [math.DG], 16 pp.
(2009) D.Prokhorov, A.Vasil'ev: Singular and tangent slit solutions to the Loewner equation.- Analysis and Mathematical Physics, Trends in Mathematics, Birkhäuser 2009, 455-463; arXiv: 0708.1048v1 [math.CV], 2007, 8 pp.
(2009) E.Grong, P.Gumenyuk, A.Vasil'ev: Matching univalent functions and conformal welding.- Ann. Acad. Sci. Fenn., Math. 34 (2009), 303-314; arXiv: 0806.0930v1 [math.CV], 17 pp.
(2008) D.-Ch. Chang, I. Markina, A.Vasil'ev: Sub-Lorentzian geometry on anti-de Sitter space.-J. Math. Pures Appl. 90 (2008), no.1, 82-110; arXiv: 0708.0879v1 [math.DG], 2007, 31 pp.

(2008) J.M.Anderson, A.Vasil'ev: Lower Schwarz-Pick estimates and angular derivatives.- Ann. Acad. Sci. Fenn. 33 (2008), 101-110; arXiv: CV/0608531, v2, 2006, 11 pp.
(2007) M.D. Contreras, S. Díaz-Madrigal, A.Vasil'ev:Digons and angular derivatives of analytic self-maps of the unit disk.- Complex Variables and Elliptic Equations 52 (2007), no.8, 685-691; arXiv: math.CV/0701272, v1, 2007, 8 pp.
(2007) A.Vasil'ev: Energy characteristics of subordination chains.- Arkiv för Matematik 45 (2007), 141-156; arXiv:math-ph/0509072, v1, 2005, 12 pp.
(2007) R.Hidalgo, I.Markina, A.Vasil'ev: Finite dimensional grading of the Virasoro algebra.- Georgian Math. J. 14 (2007), no. 3, 419-434.
(2007) I.Markina, R.Meneses, A.Vasil'ev: On a Saffman-Taylor problem in an infinite wedge.- Applicable Analysis 86 (2007), no. 2, 239-250; arXiv: physics/0508039, v1, 2005, 9 pp.
(2007) I.Markina, D.Prokhorov, A.Vasil'ev: Sub-Riemannian geometry of the coefficients of univalent functions.- J. Funct. Analysis 245 (2007), no. 2, 475-492; arXiv: CV/0608532, v1, 2006, 19 pp.
(2006) R.A.Hidalgo, A.Vasil'ev: Noded Techmueller spaces.- J. Anal. Math. 99 (2006), 89-107; arXiv: math.CV/0509381 v1, 2005, 18 pp.
(2006) D.Prokhorov, A.Vasil'ev: Univalent functions and integrable systems.- Comm. Math. Phys. 262 (2006), no. 2, 393-410; arXiv:nlin.SI/0412016, v2, 2004, 18 pp.
(2005) D.Prokhorov, A.Vasil'ev: Optimal control in Bombieri's and Tammi's conjectures.- Georgian Math. J. 12 (2005), no. 4, 739-757; arXiv:math.CV/0410578, v1, 2004, 20 pp.
(2005) A.Vasil'ev: Evolution of conformal maps with quasiconformal extensions.- Bull. Sci. Math. 129 (2005), no. 10, 831-859; arXiv:math.AP/0410229 v1, 2004, 32 pp.
(2005) A.Vasil'ev: Isoperimetric inequality for a corner Hele-Shaw dynamics.- Analysis and Appl. (Singap.) 3 (2005), no. 3, 285-291.
(2005) B.Gustafsson, A.Vasil'ev: Nonbranching weak and starshaped strong solutions for Hele-Shaw dynamics.-Arch. Math. (Basel) 84 (2005), no. 6, 551-558.
(2004) I.Markina, A.Vasil'ev: Explicit solutions for the Hele-Shaw corner flows.- Europ. J. Appl. Math. 15 (2004), no.6, 781-789.
(2004) A.Vasil'ev: Moduli of families of curves and the distortion under hyperbolically convex mapping.- Scientia.Series A. Mathematical Sciences 10 (2004), 37-45.
(2004) A.Vasil'ev: On a parametric method for conformal maps with quasiconformal extensions.- Publ. de l'Institut Math. (Nouvelle Ser.), Belgrad 75(89) (2004), 9-24.
(2004) A.Vasil'ev: Robin modulus in a Hele-Shaw problem.- Complex Variables 49 (2004), no. 7-8, 663-672.
(2004) B.Gustafsson, D.Prokhorov, A.Vasil'ev: Infinite lifetime for the starlike dynamics in Hele-Shaw cells.- Proc. Amer. Math. Soc. 132 (2004), no. 9, 2661-2669.
(2004) A.Vasil'ev: On distortion under quasiconformal map.- Rocky Mount. J. Math. 34 (2004), no.1, 347-370.
(2003) A.Vasil'ev: Univalent functions in two-dimensional free boundary problems.- Acta Applic. Math.. 79 (2003), no. 3, 249-280.
(2003) I.Markina, A.Vasil'ev: Long-pin perturbations of the trivial solution for Hele-Shaw corner flows.- Scientia. Ser. A, Math. Sci. 9 (2003), 33-43.
(2003) A.Vasil'ev, I.Markina: On the geometry of Hele-Shaw flows with small surface tension.- Interfaces and Free Boundaries 5 (2003), no.2, 183-192.
(2002) D.Prokhorov, A.Vasil'ev: Convex dynamics in Hele-Shaw cells.- Intern. J. Math. and Math. Sci. 31 (2002), no.11, 639-650.
(2002) A.Vasil'ev: Extremal partitions and distortion under the Montel bounded univalent maps.- J. Austral. Math. Soc. 73 (2002), no.3, 419-433.
(2002) Ch.Pommerenke, A.Vasil'ev: Angular derivatives of bounded univalent functions and extremal partitions of the unit disk.- Pacific. J. Math. 206 (2002), no.2, 425-450.
(2002) L.Gromova, A.Vasil'ev: On integral means of starlike functions.- Proc. Indian Acad. Sci. (Math. Sci.) 112 (2002), no. 4, 563-570.
(2002) A.Vasil'ev: On distortion under bounded univalent functions with the angular derivative fixed.- Complex Variables 47 (2002), no. 2, 131-147.
(2002) A.Vasil'ev, R.Hidalgo: Harmonic moduli of families of curves on Teichmüller spaces.- Scientia. Ser. A, Math. Sci. 8 (2002), 63-73.
(2001) A.Vasil'ev: Univalent functions in the dynamics of viscous flows.- Comp. Methods and Function Theory 1 (2001), no.2, 311-337.
(2001) A.Vasil'ev: Moduli of families of curves and quasiconformal mappings.- Journal of Math. Sci., New York 106 (2001), no.6, 3487-3517.
(2001) Ch.Pommerenke, A.Vasil'ev: On bounded univalent functions and the angular derivative.- Ann. Univ. Mariae Curie-Sklodowska. Ser. A. 54 (2001), no. 8, 79-106.
(2001) D.Mejía, Ch.Pommerenke, A.Vasil'ev: Distortion theorems for hyperbolically convex functions.- Complex Variables 44 (2001), no. 2, 117-130.
(2000) K.Kornev, A.Vasil'ev: Geometric properties of the solutions of a Hele-Shaw type equation.- Proc. Amer. Math. Soc. 128 (2000), no. 9, 2683-2685.
(2000) A.Vasil'ev, P.Pronin: The range of a system of functionals for the Montel univalent functions.- Bol. Soc. Mat. Mexicana 6 (2000), no. 3, 177-190.
(1999) A.Vasil'ev: Quadratic differentials with regular trajectories and the Teichmüller metric.- Revue Roumaine de Mathématiques Pures et Appliquées 44 (1999), no. 4, 653-661.
(1998) Yu.E.Hohlov, D.V.Prokhorov, A.Yu.Vasil'ev: On geometric properties of free boundaries in the Hele-Shaw flows moving boundary problem.- Lobachevskii J. Math. 1 (1998), 3-13.
(1997) A.Vasil'ev: Harmonic functionals and invariant metrics in the Teichmüller spaces.- Algebra and Analysis 9 (1997), no. 1, 49-71, (English transl.: St.-Petersburg Math. J. 9 (1998), no. 1, 33-48).
(1997) A.Vasil'ev: The growth isoperimetric theorems for quasiconformal automorphisms of the unit disk.- Izv.VUZov.Matematika 3 (1997), 14--22, (English transl.: Russian Math. 41 (1997), no. 3, 12-21).
(1996) A.Vasil'ev, G.Kamyshova: Moduli of strip-like domains in an extremal problem of conformal mapping.- Sibirsk. Mat. Zh. 37 (1996), no. 1, 60-69, (English transl.: Siberian Math. J. 37 (1996), no. 1, 53-61).
(1996) A.Vasil'ev, L.Gromova: On the estimate of the fourth-order homogeneous coefficient functional for univalent functions.- Ann. Polon. Math. 43 (1996), no. 1, 505-511.
(1996) A.Vasil'ev: Moduli of families of curves and invariant metrics in the Teichmüller spaces.- Sibirsk Math. Zh. 37 (1996), no. 5, 986-995, (English transl.: Siberian Math. J. 37 (1996), no. 5, 868-875).
(1996) A.Vasil'ev: Homotopy of curves and mappings and the Teichmüller metric.- Mat. Zametki 59 (1996), no. 6, 923-926, (English transl.: Math. Notes 59 (1996), no. 5--6, 668-671)
(1995) A.Vasil'ev: Harmonic properties of the modulus of curve families and invariant metrics in the Teichmüller space.- Dokl. Acad. Sci. Rus. 341 (1995), no. 5, 583-584 (English transl.: Doklady Mathematics 51 (1995), no.2, 237-238)
(1993) A.Vasil'ev, P.Pronin: On some extremal problems for bounded univalentfunctions with Montel's normalization.- Demonstratio Math. 26 (1993), no. 3-4, 703-707.
(1991) A.Vasil'ev: Quasiinvariance of the modulus of curve families and the Teichmüller problem.- Ukrain. Mat. Zh. 43 (1991), no. 3, 329-336, (English transl.: Ukrainian Math. J. 43 (1991), no. 3, 293-299).
(1990) A.Vasil'ev, S.Fedorov: The method of moduli applied to an extremal problem of conformal mapping.- Izv.VUZov.Matematika 8 (1990), 13-22, (English transl.: Soviet Math. 34 (1990), no. 8, 13-22).
(1990) A.Vasil'ev: Optimal control methods in an extremal problem on a class of solutions of the Loewner-Kufarev equation.- Diff. Uravneniya 26 (1990), no. 3, 386-392 (English transl.: Diff. Equations 26 (1990), no. 3, 280-294).
(1988) A.Vasil'ev: Variational methods and isoperimetric covering theorems for univalent functions.- Izv.VUZov.Matematika 1 (1988), 14-18, (English transl.: Soviet Math. 32 (1988), no. 1, 14-18).
(1986) A.Vasil'ev: The range of (f(r1),f(r2)) in the class of univalent functions with real coefficients.- Sibirsk. Math. Zh. 27 (1986), no. 6, 806-810, (English transl.: Siberian Math. J. 27 (1986), no. 6, 806-810)
(1985) A.Vasil'ev: Mutual change of initial coefficients of univalent functions.- Matemat. Zametki 38 (1985), no. 1, 1985, 56-65, (English transl.: Math. Notes 38 (1985), no. 1-2, 543-548).

Proceedings and chapters in books (earlier works)

A.Vasil'ev, Mapping properties of log g'(z), Diff. Equations and Function Theory, ed. Saratov State
Uni. 6 (1983), 24-31.

A.Vasil'ev, Estimate of a functional in a subclass of univalent functions, Theory of functions and
approxim. ed. Saratov State Uni. 2 (1984), 56-63.

A.Vasil'ev, Mutual change of the initial coefficients in subclasses of univalent functions, Numerical
Methods and Programming. ed. Saratov State Uni. (1985), 56-65.

A.Vasil'ev, On an extremal problem on the class of univalent bounded functions, Theory of Functions and
Approx. (Proc. of 2-d Saratov Winter School., 1984, vol. 2), ed. Saratov State Uni. (1986), 52-56.

A.Vasil'ev, On extremal Teichmueller mappings, Diff. Equations and Theor. Funct., ed. Saratov State
Uni. 8 (1988), 94-97.

A.Vasil'ev, Remarks to a modulus problem connected with a strip-like domain, Theory of Functions and
Approx. (Proc. of 3-d Saratov Winter Conf., 1986, vol. 2), ed. Saratov State Uni. (1988), 17-20.

A.Vasil'ev, On the covering and distortion theorems for univalent nonvanishing functions, Math. and
Applications, ed. Saratov State Uni. (1988), 16-18.

A.Vasil'ev, On the estimation of the modulus of function in a class of quasiconformal automorphisms of the
plane, Exremal problems of the function theory, ed. Tomsk State Univ. 8 (1990), 14-21.

A.Vasil'ev, Symmetrization in the Teichmueller problem, Math. and Applications, ed. Saratov
State Uni. (1991), 24-25.

A.Vasil'ev, Quasiconformal mapping of multiply connected domains, Diff. Equations and Theor. Funct.,
ed. Saratov State Uni. 9 (1991), 49-52.

A.Vasil'ev, Harmonic properties of the modulus of families of curves on Teichmueller spaces, Math.
and Applications, ed. Saratov State Uni. (1998), 19-20.

Divulgative and methodic works

I.Markina, A.Vasiliev, Queen of Sciences, Public Service Review EU, 23 (2012), 540-541.

A.Vasil'ev, Moduli of families of curves and quasiconformal mappings, Apuntes Matematicos,
Universidad de los Andes (Bogota, Colombia), vol. 39, 1998, 45pp.
          I.A.Aleksandrov, A.Yu.Vasil'ev, M.M.Lavrent'ev, A.V.Sychev: Vasilii Vasil'evich Chernikov, Uspekhi Mat. Nauk 52 (1997), no. 6(318), 143-144;
          Engl. Transl.: Russian Math. Surveys 52 (1997), no. 6, 1281-1282.

        A.Vasil'ev, P.Pronin, L.Gromova, Univalent functions and quasiconformal mappings, Saratov Pedagogical Inst., Saratov, 1991, 41pp.

Some older conference presentations

1. A.Vasil'ev: Two point distortion theorems for quasiconformal mappings.- International Congress of Mathematicians, ICM.98,   Berlin 18-27
August 1998, Abstracts of Short Communications, p. 162.          2. A.Vasil'ev: Moduli of curve families and invariant metrics in Teichmüller spaces.- International Congress of Mathematicians, ICM.94,   Zurich
       3-11 August 1994, Abstracts of Short Communications, p. 113.

         3. A.Vasil'ev: On the coincidence of invariant metrics on Teichmuller spaces.- Republic conference on Complex Analysis and Applied Control
             Problems, Alushta, Sept.27- Oct.4, 1989, Abstracts of Short Communications, p.11.

         4. A.Vasil'ev, Pronin P.: Distortion theorem for the univalent Montel functions.- First Russian M.Souslin conference on Foundations of Math. and
             Function Theory, October 16-21, 1989, p.103.

         5. A.Vasil'ev, Pronin P.: On some extremal problems for bounded univalent functions with the Montel normalization.- Second Russian M.Souslin
             conference on Foundations of Math. and Function Theory, October 4-11, 1991, p.64.

         6. A.Vasil'ev: Variation of the modulus of curve families and applications.- Conference "Algebra and Analysis" dedicated to 100 anniversary of
             N.G.Chebotarev, June 5-11, 1994, Kazan State University, p.30.

7. A.Vasil'ev: On geodesic Caratheodory disks in Teichmüller spaces.- Third Russian M.Souslin conference on Foundations of Math. and Function
Theory, July 20-30, 1994, p.23.

8. A.Vasil'ev: Moduli of curve families and extremal problems for quasiconformal mappings.- International Conference on Modern Function Theory
dedecated to the 90-th anniversary of Acad. S.M.Nikol'skii, Moscow, Russia, p.113

9. A.Vasil'ev: Some extremal problems for hyperbolically convex functions.- XII Conference on Analytic Functions. Lublin, Poland,
August 30-September 5, 1998.

10. A. Vasil'ev: Polarization in some problems for quadratic differentials.- Summer School on Differential Equations. Medellin, Colombia 1998.

11. A.Vasil'ev: Módulos reducidos de digonos y aplicaciones conformales con las derivadas angulares.- LXXII Encuentro Sociedad Matemática de
Chile, Punta de Tralca, octubre 26-28, 2000, Comunicaciones, p. 81-85.

12. A.Vasil'ev: Variación del módulo bajo la variación del estructura de superficie.- XV Jornada de Matemática de la Zona Sur, abril 25--27, 2001,
Actas, p. 135.

13. A.Vasil'ev: Problema de frontera libre para procesos dinámicos de fluidos viscosos.- XV Jornada de Matemática de la Zona Sur, abril 25--27,
2001, Actas, p. 136.

14. A.Vasil'ev: On geometric properties of the Hele-Shaw flows with small surface tension.- Computational Methods and Function Theory 2001, June
25-29, 2001, Abstracts, p. 98.

15. A.Vasil'ev: Univalent functions in planar dynamics of viscous flow.- LXXIII Encuentro Sociedad Matemática de Chile, Universidad de Talca,
Octubre 2001, p. 127-128.

16. A.Vasil'ev A.: Flows on homogeneous spaces and parametric representations of free boundaries.- VI Simposio Chileno de Matemáticas, Punta
Arenas, Noviembre 2002, p. 111.

17. Vasil'ev A.: On a parametric method for conformal maps with quasiconformal extensions.- XVII Jornadas de Matemática de la Zona Sur de Chile,
Temuco, Abril 2003, p. 93-96.

back to the front page