Institut de Mathématiques de Luminy

BIBLIOGRAPHIE - Serge TROUBETZKOY

Année
Publications
Files Type
  Fan Ai-Hua, Schmeling Jörg, Troubetzkoy Serge.
Dynamical diophantine approximation.
Proceeding of the London Mathematical Society, to appear.
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Vu H.L., Troubetzkoy Serge, 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, Third Edition Tania Nolan (Editor) CRC Press (2013) (chapter revised and updated), to appear.

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  Troubetzkoy Serge.
Periodic billiard orbits in right triangles II.
Annales de l'Institut Fourier (2010), to appear.
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2013 Ralston David, Troubetzkoy Serge.
Ergodicity of certain cocyles over certain interval exchanges.
Discrete and Continuous Dynamical Systems 33, 2523--2529, 2013.
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  Nogueira Arnaldo, Pires Benito, Troubetzkoy Serge.
Orbit structure of interval exchange transformations with flip.
Nonlinearity 26, no. 2, 525--537, janvier 2013.
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2012 Ralston David, Troubetzkoy Serge.
Ergodic infinite group extensions of geodesic flows on translation surfaces.
Journal of Modern Dynamics 6, 477--497, 2012.
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  Bobok Jozef, Troubetzkoy Serge.
Code and order in polygonal billiards.
Topology Appl. 159, no. 1, 236--247, 2012.
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  Troubetzkoy Serge.
Recurrence in generic staircases.
Discrete and Continuous Dynamical Systems 32, 1047--1053, 2012.
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2011 Lenci Marco, Troubetzkoy Serge.
Infinite-horizon Lorentz tubes and gases: recurrence and ergodic properties.
Physica D 240, 1510--1515, 2011.
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  Bundfuss Stefan, Krueger Tyll, Troubetzkoy Serge.
Topological and symbolic dynamics for hyperbolic systems with holes.
Ergodic Theory and Dynamical Systems 31, 1305--1323, 2011.
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  Hubert Pascal, Lelièvre Samuel, Troubetzkoy Serge.
The Ehrenfest wind-tree model: periodic directions, recurrence, diffusion.
J. Reine Angew. Math. 656, 223--244, 2011.
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  Bobok Jozef, Troubetzkoy Serge.
Does a billiard orbit determine its (polygonal) table?
Fund. Math. 212, no. 2, 129--144, 2011.
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  Rojas Cristobal, Troubetzkoy Serge.
Coding discretizations of continuous functions.
Discrete Math. 311, no. 8-9, 620--627, 2011.
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2010 Tabachnikov Sergei, Troubetzkoy Serge.
Arbeitsgemeinschaft: Mathematical Billards. [Working Session: Mathematical Billiards].
Abstracts from the session held April 4–10, 2010. Organized by Sergei Tabachnikov and Serge Troubetzkoy. Oberwolfach Reports. Vol. 7, no. 2., 955--1015, 2010.
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  Troubetzkoy Serge.
Typical recurrence for the Ehrenfest wind-tree model.
J. Stat. Phys. 141, no. 1, 60--67, 2010.
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2009 Troubetzkoy Serge.
Approximation and billiards.
Systèmes dynamiques et approximations diophantiennes, Séminaires et congrès, Société Mathématique de France 20, 175--187, 2009.
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  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.
article  
  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. 
   
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.
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2000 Troubetzkoy Serge.
Circles and polygons.
Geom. Dedicata 80, no. 1-3, 289--296, 2000
   
  Schmeling J., Troubetzkoy Serge.
Interval translation mappings.
Dynamical systems (Luminy-Marseille, 1998), 291--302, World Sci. Publishing, River Edge, NJ, 2000
   
  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

   
1999 Troubetzkoy Serge.
Billiards in infinite polygons.
Nonlinearity 12, no. 3, 513--524, 1999
   
  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
   


1998 Troubetzkoy Serge.
Complexity lower bounds for polygonal billiards.
Chaos 8, no. 1, 242--244, 1998
  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
  Schmeling J. and Troubetzkoy Serge.
Dimension and invertibility of hyperbolic endomorphisms with singularities.
Ergodic Theory Dynam. Systems 18, no. 5, 1257--1282, 1998
 
  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
 
  Chernov N. and Troubetzkoy Serge.
Ergodicity of billiards in polygons with pockets.
Nonlinearity 11, no. 4, 1095--1102, 1998
 
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
 
  Troubetzkoy Serge.
The Lewis-Parker lecture : The ant.
Alabama J. Math. 21, 3-15, 1997
 
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
 
  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
 
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
 
  Gale David, Propp Jim, Sutherland Scott and Troubetzkoy Serge.
Further travels with my ant.
Math. Intelligencer 17, no. 3, 48--56, 1995
 
  Krüger T., Pustylnikov L. D. and Troubetzkoy Serge.
Acceleration of bouncing balls in external fields.
Nonlinearity 8, no. 3, 397--410, 1995
 
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
 
  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
 
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
 
  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
 
  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
 
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
 
  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
 
1991 Troubetzkoy Serge.
Extreme instability of the horocycle flow.
J. Anal. Math. 57, 37--63, 1991
 
  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
 
1990 Troubetzkoy Serge.
A comparison of elastic and inelastic billiards.
Nonlinearity 3, no. 3, 947--960, 1990
 
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

 

Thèse
(PhD Thesis)
 
1987 Extreme instability of the horocycle flow.
PhD thesis, Stanford University, 1996
 



Last update : april 29, 2013, EL.