Positions

Selected Publications

Academic Article

Year Title Altmetric
2019 Homotopical complexity of a billiard flow on the 3D flat torus with two cylindrical obstaclesErgodic Theory and Dynamical Systems.  39:1071-1081. 2019
2017 Homotopical complexity of a 3D billiard flowContemporary Mathematics.  698:169-180. 2017
2016 Rényi's parking problem revisitedStochastics and Dynamics.  16. 2016
2013 Singularities and non-hyperbolic manifolds do not coincideNonlinearity.  26:1703-1717. 2013
2012 Stable rgimes for hard disks in a channel with twisting walls 2012
2012 Sums of squares and orthogonal integral vectorsJournal of Number Theory.  132:37-53. 2012
2011 Homotopical complexity of 2D billiard orbitsStudia Scientiarum Mathematicarum Hungarica.  48:540-562. 2011
2011 Circle decompositions of surfaces 2011
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
2007 Flow-invariant hypersurfaces in semi-dispersing billiards 2007
2006 Rotation sets of billiards with one obstacleCommunications in Mathematical Physics.  266:239-265. 2006
2005 A note on the size of the largest ball inside a convex polytopePeriodica Mathematica Hungarica.  51:15-18. 2005
2004 Proof of the ergodic hypothesis for typical hard ball systems 2004
2004 On the complexity of curve fitting algorithmsJournal of Complexity.  20:484-492. 2004
2004 Proving the ergodic hypothesis for billiards with disjoint cylindric scatterersNonlinearity.  17:1-21. 2004
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 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 Three Billiard BallsAnnals of Mathematics.  133:37-37. 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 Ergodic properties of semi-dispersing billiards. I. Two cylindric scatterers in the 3D torusNonlinearity.  2:311-326. 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
1986 Random walks with internal degrees of freedom - III. Stationary probabilitiesProbability Theory and Related Fields.  72:603-617. 1986
An Effective Contraction Estimate in the Stable Subspaces of Phase Points in Hard Ball Systems
Further Developments of Sinai's Ideas: The Boltzmann-Sinai Hypothesis
Homotopical Rotation Numbers of 2D Billiards
Improvement of the Theorem on Local Ergodicity
The Boltzmann--Sinai Ergodic Hypothesis In Full Generality
The Boltzmann-Sinai Ergodic Hypothesis for Hard Ball Systems
The Boltzmann-Sinai Ergodic Hypothesis in Full Generality (Without Exceptional Models)
The Boltzmann-Sinai Ergodic Hypothesis in Two Dimensions (Without Exceptional Models)
Unconditional Proof of the Boltzmann-Sinai Ergodic Hypothesis
Upgrading the Theorem on Local Ergodicity

Teaching Activities

  • MA445 - Complex Analysis (Summer Term 2021) 2021
  • MA545 - Complex Analysis (Summer Term 2021) 2021
  • MA588 - Advanced Statistics (Summer Term 2021) 2021
  • MA688 - Advanced Statistics (Summer Term 2021) 2021
  • MA227 - Calculus III (Spring Term 2021) 2021
  • MA227 - Calculus III (Spring Term 2021) 2021
  • MA227 - Calculus III (Fall Term 2020) 2020
  • MA455 - Partial Diff Equations I (Fall Term 2020) 2020
  • MA555 - Partial Diff Equations I (Fall Term 2020) 2020
  • MA444 - Vector Analysis (Summer Term 2020) 2020
  • MA445 - Complex Analysis (Summer Term 2020) 2020
  • MA544 - Vector Analysis (Summer Term 2020) 2020
  • MA545 - Complex Analysis (Summer Term 2020) 2020
  • MA587 - Advanced Probability (Spring Term 2020) 2020
  • MA632 - Abstract Algebra (Spring Term 2020) 2020
  • MA687 - Advanced Probability (Spring Term 2020) 2020
  • MA434 - Algebra I: Linear (Fall Term 2019) 2019
  • MA455 - Partial Diff Equations I (Fall Term 2019) 2019
  • MA534 - Algebra I: Linear (Fall Term 2019) 2019
  • MA555 - Partial Diff Equations I (Fall Term 2019) 2019
  • MA588 - Advanced Statistics (Summer Term 2019) 2019
  • MA688 - Advanced Statistics (Summer Term 2019) 2019
  • MA795 - Special Topics in Mathematics (Summer Term 2019) 2019
  • MA485 - Probability (Spring Term 2019) 2019
  • MA486 - Mathematical Statistics (Spring Term 2019) 2019
  • MA585 - Intro to Probability (Spring Term 2019) 2019
  • MA586 - Mathematical Statistics (Spring Term 2019) 2019
  • MA125 - Calculus I (Fall Term 2018) 2018
  • MA180 - Intro to Statistics (Summer Term 2018) 2018
  • MA418 - Statistics for Teachers (Summer Term 2018) 2018
  • MA588 - Advanced Statistics (Summer Term 2018) 2018
  • MA688 - Advanced Statistics (Summer Term 2018) 2018
  • MA795 - Special Topics in Mathematics (Summer Term 2018) 2018
  • MA227 - Calculus III (Spring Term 2018) 2018
  • MA454 - Interm Differential Equations (Spring Term 2018) 2018
  • MA554 - Interm Differential Equations (Spring Term 2018) 2018
  • MA126 - Calculus II (Summer Term 2017) 2017
  • MA688 - Advanced Statistics (Summer Term 2017) 2017
  • MA587 - Advanced Probability (Spring Term 2017) 2017
  • MA670 - Topology I (Spring Term 2017) 2017
  • MA687 - Advanced Probability (Spring Term 2017) 2017
  • MA260 - Intro to Linear Algebra (Fall Term 2016) 2016
  • MA494 - Special Topics in Mathematics (Fall Term 2016) 2016
  • MA631 - Linear Algebra (Fall Term 2016) 2016
  • MA799 - Dissertation Research (Fall Term 2016) 2016
  • MA125 - Calculus I (Summer Term 2016) 2016
  • MA692 - Special Topics in Mathematics (Summer Term 2016) 2016
  • MA799 - Dissertation Research (Summer Term 2016) 2016
  • MA486 - Mathematical Statistics (Spring Term 2016) 2016
  • MA586 - Mathematical Statistics (Spring Term 2016) 2016
  • MA632 - Abstract Algebra (Spring Term 2016) 2016
  • MA793 - Special Topics in Mathematics (Spring Term 2016) 2016
  • MA798 - Non-Diss Research/Comp Prep (Spring Term 2016) 2016
  • MA260 - Intro to Linear Algebra (Fall Term 2015) 2015
  • MA434 - Algebra I: Linear (Fall Term 2015) 2015
  • MA534 - Algebra I: Linear (Fall Term 2015) 2015
  • MA798 - Non-Diss Research/Comp Prep (Fall Term 2015) 2015
  • MA692 - Special Topics in Mathematics (Summer Term 2015) 2015
  • MA798 - Non-Diss Research/Comp Prep (Summer Term 2015) 2015
  • MA260 - Intro to Linear Algebra (Spring Term 2015) 2015
  • MA632 - Abstract Algebra (Spring Term 2015) 2015
  • MA798 - Non-Diss Research/Comp Prep (Spring Term 2015) 2015
  • MA434 - Algebra I: Linear (Fall Term 2014) 2014
  • MA485 - Probability (Fall Term 2014) 2014
  • MA534 - Algebra I: Linear (Fall Term 2014) 2014
  • MA585 - Intro to Probability (Fall Term 2014) 2014
  • MA693 - Special Topics in Mathematics (Fall Term 2014) 2014
  • MA698 - M Lev Non-Thesis Res (Fall Term 2014) 2014
  • MA642 - Calculus of Several Variables (Summer Term 2014) 2014
  • MA692 - Special Topics in Mathematics (Summer Term 2014) 2014
  • MA792 - Special Topics in Mathematics (Summer Term 2014) 2014
  • MA798 - Non-Diss Research/Comp Prep (Summer Term 2014) 2014
  • MA126 - Calculus II (Spring Term 2014) 2014
  • MA632 - Abstract Algebra (Spring Term 2014) 2014
  • MA692 - Special Topics in Mathematics (Spring Term 2014) 2014
  • MA792 - Special Topics in Mathematics (Spring Term 2014) 2014
  • MA227 - Calculus III (Fall Term 2013) 2013
  • MA594 - Special Topics in Mathematics (Fall Term 2013) 2013
  • MA792 - Special Topics in Mathematics (Fall Term 2013) 2013
  • MA592 - Special Topics in Mathematics (Summer Term 2013) 2013
  • MA642 - Calculus of Several Variables (Summer Term 2013) 2013
  • MA692 - Special Topics in Mathematics (Summer Term 2013) 2013
  • MA794 - Special Topics in Mathematics (Summer Term 2013) 2013
  • MA125 - Calculus I (Spring Term 2013) 2013
  • MA670 - Topology I (Spring Term 2013) 2013
  • MA799 - Dissertation Research (Spring Term 2013) 2013
  • MA125 - Calculus I (Fall Term 2012) 2012
  • MA796 - Special Topics in Mathematics (Fall Term 2012) 2012
  • MA126 - Calculus II (Summer Term 2012) 2012
  • MA445 - Complex Analysis (Summer Term 2012) 2012
  • MA493 - Special Topics in Mathematics (Summer Term 2012) 2012
  • MA545 - Complex Analysis (Summer Term 2012) 2012
  • MA227 - Calculus III (Spring Term 2012) 2012
  • MA492 - Special Topics in Mathematics (Spring Term 2012) 2012
  • MA690 - Mathematics Seminar (Spring Term 2012) 2012
  • MA630 - Algebra I (Fall Term 2011) 2011
  • MA631 - Algebra II (Fall Term 2011) 2011
  • MA690 - Mathematics Seminar (Fall Term 2011) 2011
  • MA798 - Non-Diss Research/Comp Prep (Fall Term 2011) 2011
  • MA109 - Survey of Calculus (Summer Term 2011) 2011
  • MA125 - Calculus I (Summer Term 2011) 2011
  • MA227 - Calculus III (Spring Term 2011) 2011
  • MA486 - Mathematical Statistics (Spring Term 2011) 2011
  • MA586 - Mathematical Statistics (Spring Term 2011) 2011
  • MA798 - Non-Diss Research/Comp Prep (Spring Term 2011) 2011
  • MA260 - Intro to Linear Algebra (Fall Term 2010) 2010
  • MA472 - Geometry I (Fall Term 2010) 2010
  • MA572 - Geometry I (Fall Term 2010) 2010
  • MA796 - Special Topics in Mathematics (Fall Term 2010) 2010
  • MA670 - Topology I (Spring Term 2010) 2010
  • MA696 - Special Topics in Mathematics (Spring Term 2010) 2010
  • MA795 - Special Topics in Mathematics (Spring Term 2010) 2010
  • MA796 - Special Topics in Mathematics (Spring Term 2010) 2010
  • MA472 - Geometry I (Fall Term 2009) 2009
  • MA572 - Geometry I (Fall Term 2009) 2009
  • MA795 - Special Topics in Mathematics (Fall Term 2009) 2009
  • MA792 - Special Topics in Mathematics (Summer Term 2009) 2009
  • MA670 - Topology I (Spring Term 2009) 2009
  • MA227 - Calculus III (Fall Term 2008) 2008
  • MA472 - Geometry I (Fall Term 2008) 2008
  • MA572 - Geometry I (Fall Term 2008) 2008
  • MA125 - Calculus I (Spring Term 2008) 2008
  • MA650 - Differential Equations (Spring Term 2008) 2008
  • MA690 - Mathematics Seminar (Spring Term 2008) 2008
  • MA126 - Calculus II (Fall Term 2007) 2007
  • MA630 - Algebra I (Fall Term 2007) 2007
  • MA690 - Mathematics Seminar (Fall Term 2007) 2007
  • MA799 - Dissertation Research (Fall Term 2007) 2007
  • Education And Training

  • Doctor of Philosophy in Mathematics, Eotvos Lorand University 1987
  • Full Name

  • Nandor Simanyi