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Année
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Publications
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Files
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Ref.IML |
| 2009 |
Troubetzkoy Serge.
Dual billiards, Fagnano orbits, and regular polygons.
Amer. Math. Monthly 116, no. 3, 251--260, 2009. |
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| 2008 |
Chang Cheng-Hung, Krüger Tyll, Schubert Roman, Troubetzkoy Serge.
Quantisations of piecewise parabolic maps on the torus and their quantum limits.
Comm. Math. Phys. 282, no. 2, 395--418, 2008. |
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Hubert Pascal, Schmoll Martin, Troubetzkoy Serge.
Modular fibers and illumination problems.
Int. Math. Res. Not. IMRN, no. 8, Art. ID rnn011, 42 pp,2008 |
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| 2005 |
Troubetzkoy Serge.
Periodic billiard orbits in right triangles.
Ann. Inst. Fourier (Grenoble) 55, no. 1, 29--46, 2005. |
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| 2004 |
Bálint Péter, Troubetzkoy Serge.
Rotor interaction in the annulus billiard.
J. Statist. Phys. 117, no. 3-4, 681--702, 2004. |
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Bálint Péter, Troubetzkoy Serge.
Ergodicity of two hard balls in integrable polygons.
Nonlinearity 17, no. 6, 2069--2090, 2004. |
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Troubetzkoy Serge.
Recurrence and periodic billiard orbits in polygons.
Regul. Chaotic Dyn. 9, no. 1, 1--12, 2004. |
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| 2003 |
Bruin H., Troubetzkoy Serge.
The Gauss map on a class of interval translation mappings.
Israel J. Math. 137, 125--148, 2003. |
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Saussol B., Troubetzkoy S., Vaienti Sandro.
Recurrence and Lyapunov exponents.
Mosc. Math. J. 3, no. 1, 189--203, 260, 2003. |
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Schmeling J., Troubetzkoy
Serge.
Inhomogeneous Diophantine Approximation and Angular Recurrence for Polygonal
Billiards (Russian).
Mat. Sb. 194 (2003), no. 2, 129--144; translation in Sb. Math. 194 (2003), no. 1-2, 295--309), 2003. |
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Bruin H., Saussol B., Troubetzkoy
Serge, Vaienti Sandro.
Return Time Statistics via Inducing,
Ergodic Theory and Dynamical Systems 23, no. 4, 991--1013,
2003. |
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Troubetzkoy Serge, Hubert Pascal.
Billards Polygonaux.
Le bulletin de la FRUMAM n°5, 7-11, 2003. |
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Troubetzkoy Serge, Vu H. L., Nguyen H. H., Nguyen V. Q., Russell M., Mestecky J.
Absolute quantification of specific nucleic acids by (RT)-PCR using a nonlinear mathematical model for data analysis.
PCR Technology: Current Innovations, Second Edition; Thomas Weissensteiner, Annette M. Griffin and Hugh G. Griffin (Editors) CRC Press, 2003. |
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| 2002 |
Saussol B., Troubetzkoy
S., Vaienti Sandro.
Recurrence, dimensions, and Lyapunov exponents.
J. Statist. Phys. 106, no. 3-4, 623--634, 2002. |
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Cassaigne Julien, Hubert
Pascal, Troubetzkoy Serge.
Complexity and growth for polygonal billiards.
Ann. Inst. Fourier (Grenoble) 52, no. 3, 835--847,
2002. |
PS |
| 2000 |
Troubetzkoy Serge.
Circles and polygons.
Geom. Dedicata 80, no. 1-3, 289--296, 2000 |
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Schmeling J., Troubetzkoy
Serge.
Interval translation mappings.
Dynamical systems (Luminy-Marseille, 1998), 291--302,
World Sci. Publishing, River Edge, NJ, 2000 |
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Mestecky J., Nguyen H.H.,
Russel M., Troubetzkoy Serge, Vu H.L.
A method for quantification of absolute amounts of nucleic acids by competitive
(RT)-PCR and a new mathematical model for data analysis.
Nucleic Acids Research Methods, 18-7, 2000 |
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Chernov N., Markarian R., Troubetzkoy
Serge.
Invariant measures for Anosov maps with small holes.
Ergodic Theory Dynam. Systems 20, no. 4, 1007--1044,
2000
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| 1999 |
Troubetzkoy Serge.
Billiards in infinite polygons.
Nonlinearity 12, no. 3, 513--524, 1999 |
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Krüger T., Pustylnikov
L. D., Troubetzkoy Serge.
The nonautonomous function-theoretic center problem.
Bol. Soc. Brasil. Mat. (N.S.) 30, no. 1, 1--30,
1999 |
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| 1998 |
Troubetzkoy Serge.
Complexity lower bounds for polygonal billiards.
Chaos 8, no. 1, 242--244, 1998 |
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Boshernitzan M., Galperin
G., Krüger T. and Troubetzkoy Serge.
Periodic billiard orbits are dense in rational polygons.
Trans. Amer. Math. Soc. 350, no. 9, 3523--3535,
1998 |
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Schmeling J. and Troubetzkoy
Serge.
Dimension and invertibility of hyperbolic endomorphisms with singularities.
Ergodic Theory Dynam. Systems 18, no. 5, 1257--1282,
1998 |
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Chernov N., Markarian R.
and Troubetzkoy Serge.
Conditionally invariant measures for Anosov maps with small holes.
Ergodic Theory Dynam. Systems 18, no. 5, 1049--1073,
1998 |
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Chernov N. and Troubetzkoy
Serge.
Ergodicity of billiards in polygons with pockets.
Nonlinearity 11, no. 4, 1095--1102, 1998 |
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| 1997 |
Krüger Tyll and Troubetzkoy
Serge.
Complexity, randomness, discretization: some remarks on a program of J.
Ford.
Phys. D 105, no. 1-3, 97--104, 1997 |
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Troubetzkoy Serge.
The Lewis-Parker lecture : The ant.
Alabama J. Math. 21, 3-15, 1997 |
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| 1996 |
Gutkin Eugene and Troubetzkoy
Serge.
Directional flows and strong recurrence for polygonal billiards.
International Conference on Dynamical Systems (Montevideo,
1995), 21--45, Pitman Res. Notes Math. Ser., 362, Longman, Harlow,
1996 |
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Chernov N. I. and Troubetzkoy
Serge.
Measures with infinite Lyapunov exponents for the periodic Lorentz gas.
J. Statist. Phys. 83, no. 1-2, 193--202, 1996 |
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| 1995 |
Galperin G., Krüger
T. and Troubetzkoy Serge.
Local instability of orbits in polygonal and polyhedral billiards.
Comm. Math. Phys. 169, no. 3, 463--473, 1995 |
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Gale David, Propp Jim, Sutherland
Scott and Troubetzkoy Serge.
Further travels with my ant.
Math. Intelligencer 17, no. 3, 48--56, 1995 |
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Krüger T., Pustylnikov
L. D. and Troubetzkoy Serge.
Acceleration of bouncing balls in external fields.
Nonlinearity 8, no. 3, 397--410, 1995 |
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| 1994 |
Krüger T., Seibt P.
and Troubetzkoy Serge.
Complexity and randomness of recursive discretizations of dynamical systems.
Random Comput. Dynam. 2, no. 1, 1--19, 1994 |
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Bunimovich L. A. and Troubetzkoy
Serge.
Rotators, periodicity, and absence of diffusion in cyclic cellular automata.
J. Statist. Phys. 74, no. 1-2, 1--10, 1994 |
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| 1993 |
Bunimovich L. A. and Troubetzkoy
Serge.
Topological dynamics of flipping Lorentz lattice gas models.
J. Statist. Phys. 72, no. 1-2, 297--307, 1993 |
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Bunimovich L. A. and Troubetzkoy
Serge.
Non-Gaussian behaviour in Lorentz lattice gas cellular automata.
Dynamics of complex and irregular systems (Bielefeld,
1991), 289--295, Bielefeld Encount. Math. Phys., VIII, World Sci. Publishing,
River Edge, NJ, 1993 |
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Krüger Tyll and Troubetzkoy
Serge.
Ergodic theory on recursive lattices.
Dynamics of complex and irregular systems (Bielefeld,
1991), 91--103, Bielefeld Encount. Math. Phys., VIII, World Sci. Publishing,
River Edge, NJ, 1993 |
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| 1992 |
Bunimovich L. A. and Troubetzkoy
Serge.
Recurrence properties of Lorentz lattice gas cellular automata.
J. Statist. Phys. 67, no. 1-2, 289--302, 1992 |
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Krüger Tyll and Troubetzkoy
Serge.
Markov partitions and shadowing for non-uniformly hyperbolic systems with
singularities.
Ergodic Theory Dynam. Systems 12, no. 3, 487--508,
1992 |
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| 1991 |
Troubetzkoy Serge.
Extreme instability of the horocycle flow.
J. Anal. Math. 57, 37--63, 1991 |
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Troubetzkoy Serge.
Stochastic stability of scattering billiards (Russian).
Teoret. Mat. Fiz. 86 (1991), no. 2,221--230 translation
in Theoret. and Math. Phys. 86, no. 2, 151--158, 1991 |
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| 1990 |
Troubetzkoy Serge.
A comparison of elastic and inelastic billiards.
Nonlinearity 3, no. 3, 947--960, 1990 |
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| 1985 |
Langdon G. and Troubetzkoy Serge.
An efficient implementation of a context dependent lossless speech compression
scheme.
IBM Technical Disclosure Bulletin, SA8-85-0284,
1985
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