Positions

Selected Publications

Academic Article

Year Title Altmetric
2017 Homotopical complexity of a 3D billiard flowContemporary Mathematics.  698:169-180. 2017
2015 Further Developments of Sinai's Ideas: The Boltzmann-Sinai Hypothesis 2015
2012 Stable regimes for hard disks in a channel with twisting walls.Chaos.  22:026105. 2012
2012 Sums of squares and orthogonal integral vectorsJournal of Number Theory.  132:37-53. 2012
2010 The Boltzmann--Sinai Ergodic Hypothesis In Full Generality 2010
2010 Upgrading the Local Ergodic Theorem for planar semi-dispersing billiardsJournal of Statistical Physics.  139:355-366. 2010
2009 Conditional proof of the boltzmann-Sinai ergodic hypothesisInventiones Mathematicae.  177:381-413. 2009
2008 Unconditional Proof of the Boltzmann-Sinai Ergodic Hypothesis 2008
2007 Flow-invariant hypersurfaces in semi-dispersing billiardsHelvetica Physica Acta.  8:475-483. 2007
2007 An Effective Contraction Estimate in the Stable Subspaces of Phase Points in Hard Ball Systems 2007
2006 Homotopical Rotation Numbers of 2D Billiards 2006
2006 Rotation sets of billiards with one obstacleCommunications in Mathematical Physics.  266:239-265. 2006
2005 The Boltzmann-Sinai Ergodic Hypothesis in Full Generality (Without Exceptional Models) 2005
2004 The Boltzmann-Sinai Ergodic Hypothesis in Two Dimensions (Without Exceptional Models) 2004
2004 Proof of the ergodic hypothesis for typical hard ball systemsHelvetica Physica Acta.  5:203-233. 2004
2004 On the complexity of curve fitting algorithmsJournal of Complexity.  20:484-492. 2004
2003 Improvement of the Theorem on Local Ergodicity 2003
2003 Upgrading the Theorem on Local Ergodicity 2003
2003 On the complexity of curve fitting algorithmsCoRR.  cs.CC/0308023. 2003
2003 Proof of the Boltzmann-Sinai ergodic hypothesis for typical hard disk systemsInventiones Mathematicae.  154:123-178. 2003
2002 The complete hyperbolicity of cylindric billiardsErgodic Theory and Dynamical Systems.  22:281-302. 2002
2000 Non-integrability of cylindric billiards and transitive Lie group actionsErgodic Theory and Dynamical Systems.  20:593-610. 2000
1999 Ergodicity of hard spheres in a boxErgodic Theory and Dynamical Systems.  19:741-766. 1999
1999 Hard ball systems are completely hyperbolicAnnals of Mathematics.  149:35-96. 1999
1996 The Boltzmann-Sinai Ergodic Hypothesis for Hard Ball Systems 1996
1996 The characteristic exponents of the falling ball modelCommunications in Mathematical Physics.  182:457-468. 1996
1995 The K-property of Hamiltonian systems with restricted hard ball interactionsMathematical Research Letters.  2:751-770. 1995
1994 The K-property of 4D billiards with nonorthogonal cylindric scatterersJournal of Statistical Physics.  76:587-604. 1994
1992 The K-property of N billiard balls IInventiones Mathematicae.  108:521-548. 1992
1992 The K-property of N billiard balls II. Computation of neutral linear spacesInventiones Mathematicae.  110:151-172. 1992
1992 The K-property of four billiard ballsCommunications in Mathematical Physics.  144:107-148. 1992
1992 Dual polygonal billiards and necklace dynamicsCommunications in Mathematical Physics.  143:431-449. 1992
1991 A "transversal" fundamental theorem for semi-dispersing billiardsCommunications in Mathematical Physics.  138:207-208. 1991
1991 THE K-PROPERTY OF 3 BILLIARD BALLSAnnals of Mathematics.  133:37-72. 1991
1990 A "Transversal" Fundamental Theorem for semi-dispersing billiardsCommunications in Mathematical Physics.  129:535-560. 1990
1989 Dispersing billiards without focal points on surfaces are ergodicCommunications in Mathematical Physics.  125:439-457. 1989
1989 Two-particle billiard system with arbitrary mass ratioErgodic Theory and Dynamical Systems.  9:165-171. 1989
1987 Heat conduction in caricature models of the Lorentz gasJournal of Statistical Physics.  46:303-318. 1987
Homotopical Complexity of a Billiard Flow on the 3D Flat Torus with Two Cylindrical Obstacles

Education And Training

  • Doctor of Philosophy in Mathematics, Eotvos Lorand University
  • Full Name

  • Nandor Simanyi
  • Blazerid

  • simanyi