Positions

Overview

  • I am a professor of mathematics at the University of Alabama at Birmingham.
  • 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
    2015 Further Developments of Sinai's Ideas: The Boltzmann-Sinai Hypothesis 2015
    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 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 billiards 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 A note on the size of the largest ball inside a convex polytopePeriodica Mathematica Hungarica.  51:15-18. 2005
    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 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 Improvement of the Theorem on Local Ergodicity 2003
    2003 Upgrading the Theorem on Local Ergodicity 2003
    2003 On the complexity of curve fitting algorithms 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 Three Billiard BallsAnnals of Mathematics.  133:37. 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

    Research Overview

  • Ergodic theory and dynamical systems with particular emphasis on hyperbolic dynamical systems with singularities, like mathematical billiards.
  • Teaching Overview

  • I teach mostly advanced undergraduate courses, like Linear Algebra, Ordinary Differential Equstions, Partial Differential Equations, Probability, and graduate courses like Abstract Algebra, Advanced Probability, Advanced Statistics, Topology, etc.
  • Teaching Activities

  • MA109 - Survey of Calculus (Summer Term 2011)
  • MA125 - Calculus I (Fall Term 2012)
  • MA125 - Calculus I (Fall Term 2018)
  • MA125 - Calculus I (Spring Term 2008)
  • MA125 - Calculus I (Spring Term 2013)
  • MA125 - Calculus I (Summer Term 2011)
  • MA125 - Calculus I (Summer Term 2016)
  • MA126 - Calculus II (Fall Term 2007)
  • MA126 - Calculus II (Spring Term 2014)
  • MA126 - Calculus II (Summer Term 2012)
  • MA126 - Calculus II (Summer Term 2017)
  • MA180 - Intro to Statistics (Summer Term 2018)
  • MA227 - Calculus III (Fall Term 2008)
  • MA227 - Calculus III (Fall Term 2013)
  • MA227 - Calculus III (Fall Term 2020)
  • MA227 - Calculus III (Fall Term 2021)
  • MA227 - Calculus III (Spring Term 2011)
  • MA227 - Calculus III (Spring Term 2012)
  • MA227 - Calculus III (Spring Term 2018)
  • MA227 - Calculus III (Spring Term 2021)
  • MA227 - Calculus III (Spring Term 2021)
  • MA260 - Intro to Linear Algebra (Fall Term 2010)
  • MA260 - Intro to Linear Algebra (Fall Term 2015)
  • MA260 - Intro to Linear Algebra (Fall Term 2016)
  • MA260 - Intro to Linear Algebra (Spring Term 2015)
  • MA418 - Statistics for Teachers (Summer Term 2018)
  • MA434 - Algebra I: Linear (Fall Term 2014)
  • MA434 - Algebra I: Linear (Fall Term 2015)
  • MA434 - Algebra I: Linear (Fall Term 2019)
  • MA434 - Algebra I: Linear (Fall Term 2022)
  • MA434 - Algebra I: Linear (Summer Term 2022)
  • MA444 - Vector Analysis (Summer Term 2020)
  • MA445 - Complex Analysis (Summer Term 2012)
  • MA445 - Complex Analysis (Summer Term 2020)
  • MA445 - Complex Analysis (Summer Term 2021)
  • MA454 - Interm Differential Equations (Spring Term 2018)
  • MA454 - Interm Differential Equations (Spring Term 2022)
  • MA455 - Partial Diff Equations I (Fall Term 2019)
  • MA455 - Partial Diff Equations I (Fall Term 2020)
  • MA472 - Geometry I (Fall Term 2008)
  • MA472 - Geometry I (Fall Term 2009)
  • MA472 - Geometry I (Fall Term 2010)
  • MA485 - Probability (Fall Term 2014)
  • MA485 - Probability (Spring Term 2019)
  • MA486 - Mathematical Statistics (Spring Term 2011)
  • MA486 - Mathematical Statistics (Spring Term 2016)
  • MA486 - Mathematical Statistics (Spring Term 2019)
  • MA492 - Special Topics in Mathematics (Spring Term 2012)
  • MA493 - Special Topics in Mathematics (Summer Term 2012)
  • MA494 - Special Topics in Mathematics (Fall Term 2016)
  • MA534 - Algebra I: Linear (Fall Term 2014)
  • MA534 - Algebra I: Linear (Fall Term 2015)
  • MA534 - Algebra I: Linear (Fall Term 2019)
  • MA534 - Algebra I: Linear (Summer Term 2022)
  • MA544 - Vector Analysis (Summer Term 2020)
  • MA545 - Complex Analysis (Summer Term 2012)
  • MA545 - Complex Analysis (Summer Term 2020)
  • MA554 - Interm Differential Equations (Spring Term 2018)
  • MA555 - Partial Diff Equations I (Fall Term 2019)
  • MA555 - Partial Diff Equations I (Fall Term 2020)
  • MA572 - Geometry I (Fall Term 2008)
  • MA572 - Geometry I (Fall Term 2009)
  • MA572 - Geometry I (Fall Term 2010)
  • MA585 - Intro to Probability (Fall Term 2014)
  • MA585 - Intro to Probability (Spring Term 2019)
  • MA586 - Mathematical Statistics (Spring Term 2011)
  • MA586 - Mathematical Statistics (Spring Term 2016)
  • MA586 - Mathematical Statistics (Spring Term 2019)
  • MA587 - Advanced Probability (Spring Term 2017)
  • MA587 - Advanced Probability (Spring Term 2020)
  • MA588 - Advanced Statistics (Summer Term 2018)
  • MA588 - Advanced Statistics (Summer Term 2019)
  • MA588 - Advanced Statistics (Summer Term 2021)
  • MA592 - Special Topics in Mathematics (Summer Term 2013)
  • MA594 - Special Topics in Mathematics (Fall Term 2013)
  • MA630 - Algebra I (Fall Term 2007)
  • MA630 - Algebra I (Fall Term 2011)
  • MA631 - Algebra II (Fall Term 2011)
  • MA631 - Linear Algebra (Fall Term 2016)
  • MA632 - Abstract Algebra (Spring Term 2014)
  • MA632 - Abstract Algebra (Spring Term 2015)
  • MA632 - Abstract Algebra (Spring Term 2016)
  • MA632 - Abstract Algebra (Spring Term 2020)
  • MA642 - Calculus of Several Variables (Summer Term 2013)
  • MA642 - Calculus of Several Variables (Summer Term 2014)
  • MA650 - Differential Equations (Spring Term 2008)
  • MA670 - Topology I (Spring Term 2009)
  • MA670 - Topology I (Spring Term 2010)
  • MA670 - Topology I (Spring Term 2013)
  • MA670 - Topology I (Spring Term 2017)
  • MA687 - Advanced Probability (Spring Term 2017)
  • MA687 - Advanced Probability (Spring Term 2020)
  • MA687 - Advanced Probability (Spring Term 2022)
  • MA688 - Advanced Statistics (Summer Term 2017)
  • MA688 - Advanced Statistics (Summer Term 2018)
  • MA688 - Advanced Statistics (Summer Term 2019)
  • MA688 - Advanced Statistics (Summer Term 2021)
  • MA688 - Advanced Statistics (Summer Term 2022)
  • MA690 - Mathematics Seminar (Fall Term 2007)
  • MA690 - Mathematics Seminar (Fall Term 2011)
  • MA690 - Mathematics Seminar (Spring Term 2008)
  • MA690 - Mathematics Seminar (Spring Term 2012)
  • MA692 - Special Topics in Mathematics (Spring Term 2014)
  • MA692 - Special Topics in Mathematics (Summer Term 2013)
  • MA692 - Special Topics in Mathematics (Summer Term 2014)
  • MA692 - Special Topics in Mathematics (Summer Term 2015)
  • MA692 - Special Topics in Mathematics (Summer Term 2016)
  • MA693 - Special Topics in Mathematics (Fall Term 2014)
  • MA696 - Special Topics in Mathematics (Spring Term 2010)
  • MA698 - M Lev Non-Thesis Res (Fall Term 2014)
  • MA792 - Special Topics in Mathematics (Fall Term 2013)
  • MA792 - Special Topics in Mathematics (Spring Term 2014)
  • MA792 - Special Topics in Mathematics (Summer Term 2009)
  • MA792 - Special Topics in Mathematics (Summer Term 2014)
  • MA793 - Special Topics in Mathematics (Spring Term 2016)
  • MA794 - Special Topics in Mathematics (Summer Term 2013)
  • MA795 - Special Topics in Mathematics (Fall Term 2009)
  • MA795 - Special Topics in Mathematics (Fall Term 2022)
  • MA795 - Special Topics in Mathematics (Spring Term 2010)
  • MA795 - Special Topics in Mathematics (Summer Term 2018)
  • MA795 - Special Topics in Mathematics (Summer Term 2019)
  • MA796 - Special Topics in Mathematics (Fall Term 2010)
  • MA796 - Special Topics in Mathematics (Fall Term 2012)
  • MA796 - Special Topics in Mathematics (Spring Term 2010)
  • MA798 - Non-Diss Research/Comp Prep (Fall Term 2011)
  • MA798 - Non-Diss Research/Comp Prep (Fall Term 2015)
  • MA798 - Non-Diss Research/Comp Prep (Spring Term 2011)
  • MA798 - Non-Diss Research/Comp Prep (Spring Term 2015)
  • MA798 - Non-Diss Research/Comp Prep (Spring Term 2016)
  • MA798 - Non-Diss Research/Comp Prep (Summer Term 2014)
  • MA798 - Non-Diss Research/Comp Prep (Summer Term 2015)
  • MA799 - Dissertation Research (Fall Term 2007)
  • MA799 - Dissertation Research (Fall Term 2016)
  • MA799 - Dissertation Research (Spring Term 2013)
  • MA799 - Dissertation Research (Summer Term 2016)
  • Education And Training

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

  • Nandor Simanyi