Dr. Nándor Simányi

          Professor

          Department of Mathematics

          University of Alabama at Birmingham

My mailing address is:
University Hall, Room 4014
1402 10th Avenue South
Birmingham AL 35294-1241

        Office phone: (205) 934-2154

        Fax: (205) 934-9025

From left to right:

Front row: Emil W. Kiss, János Kollár, Péter P. Pálfy (aka "P cube" or "P^3"), N. S.

Center row: Sándor Veres, Péter Prőhle

Rear row: László Sparing, Péter Ablonczy

The Team prepares for a greeting reception at the Hungarian Ministry of Education:

Selected papers:

• Nandor Simanyi: Asymptotic Homotopical Complexity of an Infinite Sequence of Dispersing $2D$ Billiards,    DOI: https://doi.org/10.48550/arXiv.2501.16284   
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• Nandor Simanyi: Proof of Wojtkowski's Falling Particle Conjecture,    DOI: https://doi.org/10.48550/arXiv.2407.12033   
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• Nandor Simanyi: Conditional Proof of the Ergodic Conjecture for Falling Ball Systems, Contemporary Mathematics, Volume 797, 2024. pp. 75-83. DOI: https://doi.org/10.1090/conm/797/15935   
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• Caleb C. Moxley, Nandor Simanyi: Homotopical complexity of a billiard flow on the 3D flat torus with two cylindrical obstacles, Ergodic Theory and Dynamical Systems, Vol. 39, No. 4. (April 2019), pp. 1071-1081. DOI: https://doi.org/10.1017/etds.2017.62   
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• Caleb C. Moxley, Nandor J. Simanyi Homotopical complexity of a $3D$ billiard flow, in Dynamical Systems, Ergodic Theory, and Probability: in Memory of Kolya Chernov, Contemporary Mathematics, vol. 698, Amer. Math. Soc., Providence, RI, 2017, pp. 169-180.   
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• Simányi N. (2019) Further Developments of Sinai’s Ideas: The Boltzmann–Sinai Hypothesis. In: Holden H., Piene R. (eds) The Abel Prize 2013-2017. The Abel Prize. Springer, Cham   
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• Rényi's Parking Problem Revisited. Jointly with Matthew P. Clay, to appear in Stochastics and Dynamics, Vol. 16, No. 2. (2016)   
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• Singularities and nonhyperbolic manifolds do not coincide. Nonlinearity 26 (2013) 1703-1717.   
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• Stable regimes for hard disks in a channel with twisting walls. Chaos (Vol.22, Issue 2), June 2012 (Jointly with N. Chernov and A. Korepanov.)   
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• Sums of Squares and Orthogonal Integral Vectors. (Joint work with Lee M. Goswick, Emil W. Kiss, and Gábor Moussong.) Journal of Number Theory, Volume 132, Issue 1, January 2012, Pages 37-53   
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• G. Moussong, N. Simányi, Circle decompositions of surface, Topology and its Applications, 158 (2011) 392–396. DOI: 10.1016/j.topol.2010.11.015   
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• Homotopical Complexity of 2D Billiard Orbits, jointly with Lee M. Goswick. Studia Sci. Math. Hungar. 48(4), 540-562 (2011), arxiv:1008.1623 DOI: 10.1556/SScMath.48.2011.4.1191   
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• Geometric Methods in the Theory of Semi-dispersing Billiards (Abstract of talk at ``Arbeitsgemeinschaft: Mathematical Billards'' held in Mathematisches Forschungsinstitut Oberwolfach, Germany, April 2010)   
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• Conditional Proof of the Boltzmann-Sinai Ergodic Hypothesis. Inventiones Mathematicae, Vol. 177, No. 2 (August, 2009), pp. 381-413. DOI: 10.1007/s00222-009-0182-x   
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• Upgrading the Local Ergodic Theorem for Planar Semi-dispersing Billiards (Joint with N. Chernov), J. Stat. Phys., Vol. 139 No. 3 (2010), 355-366. DOI: 10.1007/s10955-010-9927-6   
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• Flow-invariant hypersurfaces in semi-dispersing billiards. (Jointly with N. Chernov) Annales Henri Poincaré, Online First Publication, http://dx.doi.org/10.1007/s00023-006-0313-5   
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• Rotation sets of billiards with one obstacle. Commun. Math. Phys., Vol. 266, No. 1 (August, 2006), pp. 239-265. (Jointly with A. Blokh and M. Misiurewicz)   
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• A Note on the Size of the Largest Ball Inside a Convex Polytope. Periodica Mathematica Hungarica, Vol. 51, No. 2 (December 2005), pp. 15-18. (Jointly with Imre Bárány.) arXiv:math.MG/0505301   
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