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Explicit Jenkins-Strebel representatives of all strata of Abelian and quadratic differentials, Journal of
Modern Dynamics, 2:1 (2008),
139-185 ![[Abs]](pdf.gif)
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Geodesics on flat surfaces,
![[PS]](ps.gif)
Proceedings of ICM 2006, Madrid,
Vol III. EMS
Publishing House, 2006, 121-146.
(Short servey on Teichmüller dynamics)
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Flat
surfaces,
in collection "Frontiers in Number Theory, Physics and Geometry.
Volume 1:
On random matrices, zeta functions and dynamical systems'',
P. Cartier; B. Julia; P. Moussa; P. Vanhove (Editors),
Springer-Verlag, Berlin, 2006, 439-586.
Based on the lectures given by the author at the Les
Houches School "Number Theory and Physics"
in March of 2003, and at the workshop on dynamics in ICTP, Trieste, in July 2004.
(Long servey on Teichmüller dynamics)
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(with H.Masur)
Multiple Saddle Connections on
Flat Surfaces and
Principal Boundary of the Moduli Spaces of
Quadratic Differentials.
(to appear in GAFA, 2008)
For a short version without proofs see:
(with H.Masur)
Combinatorial Geometry of Generic Degenerations of Quadratic
Differentials. In
collection ``Partially Hyperbolic Dynamics, Laminations, and Teichmüller
Flow''. Edited by: Giovanni Forni, Mikhail Lyubich, Charles
Pugh and Michael Shub.
Fields Institute Communications, 51 (2007) 223-246.
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(with P.Hubert,
H.Masur, T.A.Schmidt)
Problems on billiards,
flat surfaces and translation surfaces, ![[DVI]](dvi.gif)
in collection "Problems on Mapping Class Groups and Related
Topics", edited by B.Farb,
Proc. Symp. Pure Math., Amer. Math. Soc., 2006.
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(with M. Kontsevich),
Connected components of the moduli spaces of Abelian
differentials
with prescribed singularities;
Inventiones Mathematicae,
153, (2003), 631-678.
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(with A.Eskin
and H.Masur),
Moduli spaces of Abelian
differentials: the principal boundary, counting problems
and the Siegel-Veech constants,
Publications Mathématiques de l'IHES, 97, no. 3, (2003), 61-179.
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Square
tiled surfaces and Teichmüller volumes of the moduli spaces of
Abelian differentials,
in collection "Rigidity in Dynamics and Geometry'', M.Burger,
A.Iozzi (Editors), Springer Verlag,
2002, 459-471.
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How
do the leaves of a closed 1-form wind around a surface, ![[Abs]](abs.gif)
"Pseudoperiodic Topology'', V.I.Arnold, M.Kontsevich, A.Zorich (Editors),
Translations of the AMS, Ser.2, vol. 197, AMS, Providence, RI (1999),
135-178.
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On
hyperplane sections of periodic surfaces,
``Solitons, Geometry, and Topology: On the
Crossroad'', V.M.Buchstaber and S.P.Novikov
(Editors),
Translations of the AMS, Ser. 2, vol. 179, AMS, Providence, RI (1997),
173-189.
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Deviation
for interval exchange transformations,
Ergodic Theory and Dynamical Systems,
17, (1997), 1477-1499.
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Finite
Gauss measure on the space of interval exchange transformations.
Lyapunov exponents,
Annales de l'Institut
Fourier, 46:2, (1996), 325-370.
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Asymptotic
flag of an orientable measured foliation on a
surface,
in collection "Geometric Study of Foliations'',
World Scientific Pb. Co., (1994), 479-498.
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Inversion
of horospherical integral transform on real semisimple Lie groups.
in collection "Infinite analysis", Part A,
B (Kyoto,
1991), 1047-1071,
Adv. Ser. Math. Phys., 16, World Sci. Publishing,
River Edge, NJ, 1992.
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Inversion
of integral transforms connected with nilpotent
subgroups of complex semisimple
Lie groups,
Leningrad
Math. Jour., 2:1, (1990), 65-96.
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(with
Th.Voronov),
Integration on vector
bundles,
Functional Anal. Appl., 22:2,
(1988), 94-103.
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(with
Th.Voronov),
Cohomology of supermanifolds and
integral geometry,
Soviet Math. Dokl., 37:1,
(1988), 96-101.
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The
quasiperiodical structure of level
surfaces of a Morse 1-form that is close to a
rational form - the problem of S.P.Novikov,
Math. USSR - Izvestiya, 31:3,
(1988), 635-655.
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Integration
of pseudodifferential forms and inversion of
integral transforms of
Radon transform type,
Russ. Math. Surveys, 42:4, (1987), 151-152.
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(with
Th.Voronov),
Theory of bordisms
and homotopy properties of supermanifolds,
Functional Anal. Appl., 21:3, (1987),
237-238.
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(with
Th.Voronov),
Integral transformations of pseudodifferential forms,
Russian Mathematical Surveys, 41:6, (1986), 221-222.
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(with
Th.Voronov),
Complexes of forms on supermanifolds,
Functional Anal. Appl., 20:2,
(1986), 132-133.
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The
S.P.Novikov problem on semiclassical
motion of electron in homogeneous magnetic
field,
Russian Math. Surveys, 39:5, (1984), 287-288.
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