Dr. Nándor Simányi

          Professor

          Department of Mathematics

          University of Alabama at Birmingham

• A few amusing math practice problems for the holiday season. Special thanks to Emil W. Kiss

• ...and their solutions...

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

List of Publications     dvi    PostScript    pdf






I proudly claim that my Erdős Number is exactly 3. The reason is that four co-authors of mine, I. Bárány, E. Gutkin, E. W. Kiss, and M. Misiurewicz are listed on the web page of People with Erdős number at most two, and I am not (yet) on that list. Another reason:









Some recent preprints:




• On arxiv.org   



• Singularities and nonhyperbolic manifolds do not coincide. Nonlinearity 26 (2013) 1703-1717.   
• dvi    PostScript    pdf



• 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.)   
• PostScript     pdf
         This material is based upon work supported by the National Science
          Foundation under the grant DMS-0800538.
         

• 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   
• PostScript     pdf
         This material is based upon work supported by the National Science
          Foundation under Grants DMS-0457168 and DMS-0800538.
         

• G. Moussong, N. Simányi, Circle decompositions of surface, Topology and its Applications, 158 (2011) 392–396. DOI: 10.1016/j.topol.2010.11.015   
• dvi     PostScript     pdf
         This material is based upon work supported by the National Science
          Foundation under Grant DMS-0800538.
         

• 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   
• PostScript     pdf
         This material is based upon work supported by the National Science
          Foundation under Grant DMS-0800538.
         

• Geometric Methods in the Theory of Semi-dispersing Billiards (Abstract of talk at ``Arbeitsgemeinschaft: Mathematical Billards'' held in Mathematisches Forschungsinstitut Oberwolfach, Germany, April 2010)   
• PostScript     pdf
         This material is based upon work supported by the National Science
          Foundation under Grant DMS-0800538.
         

• 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   
• PostScript     pdf
          This material is based upon work supported by the National Science
          Foundation under Grants DMS-0457168 and DMS-0800538.
         

• 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   
• PostScript     pdf
         This material is based upon work supported by the National Science
          Foundation under Grant DMS 0800538.
         

• 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   
• dvi     PostScript     pdf
         This material is based upon work supported by the National Science
          Foundation under Grant DMS 0457168.
         

• 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)   
• dvi     PostScript     pdf
         This material is based upon work supported by the National Science
          Foundation under Grant DMS 0457168.
         

• 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   
• dvi     PostScript     pdf
         This material is based upon work supported by the National Science
          Foundation under Grant DMS 0457168.
         
        E-mail: my-last-name at math dot uab dot edu  

My mailing address is:
UAB Department of Mathematics
CH 452, 1720 2nd Avenue S
Birmingham, AL 35294-1170.


        Office phone: (205) 934-2154

        Fax: (205) 934-9025













This is the gold standard for playing Bach - piano.Should one dare to touch the piano keys and pretend to get some sound out of it after listening to the son of Bach in earth playing this heavenly music? (Listener's comment to the YouTube footage below.)













Why not fully embrace the greatest artistic achievements of human spirit? Why not carefully and joyfully listen to the masterpieces of Johann Sebastian Bach and the (Viennese) High Classical style, like (just to mention a few great recordings):



• J. S. Bach: The Art of Fugue by Evgeni Koroliov



• Evgeni Koroliov: Bach - Goldberg Variations (DVD)



• Glenn Gould plays Bach: The English Suites



• Glenn Gould plays Bach: The French Suites



• Bach: The Well-Tempered Clavier played by Glenn Gould



• Franz Joseph Haydn: The "Sturm und Drang" Symphonies, Frans Brüggen (Conductor), Orchestra of the Age of Enlightenment (Orchestra)



• Beethoven - The Complete String Quartets / Alban Berg Quartet



• Beethoven - The Complete Piano Sonatas by András Schiff





 

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