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  • [SAn] Multidimensional billiards in convex bodies | José Pedro Gaivão (Department of Mathematics, ISEG – Universidade de Lisboa, Portugal)

    20 March 2024  2:15 pm3:15 pm
    Room 1.6, building VII

                          

    Title:Multidimensional billiards in convex bodies.

    Speaker:José Pedro Gaivão(Department of Mathematics, ISEG – Universidade de Lisboa, Portugal).

    Time:Wednesday, 20March 2024,from 14:15 to 15:15.

    Place:Room1.6,building VII.


    Title:
    Multidimensional billiards in convex bodies.

    Abstract:Muchis understood about the dynamics of planar billiards, yet billiardswithin multidimensional Euclidean domains remain less studied. Inthis presentation, we will review basic properties aboutmultidimensional billiards and explain how to perturb a convex bodyto obtain a billiard exhibiting positive topological entropy.


    References:

    [1]M. Bessa, G. Del Magno, J. L. Dias, J. P. Gaivão, M. J. Torres,Billiards in generic convex bodies have positive topological entropy,Advances in Mathematics, vol. 442, 109592, 2024.

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NOVA Math‘s focus is on cutting edge research, in both pure and applied mathematics, valuing the use of mathematics in the solution of real-world problems at the industrial level and of social relevance.

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One of the main strategies developed by NOVA Math is to promote the exchange of knowledge with other sciences. It is important to engage with the users of mathematics, given them the support for their research on one hand, and on another hand, to direct mathematical researchers that seek real-life problems.

Funded by national funds through the FCT – Fundação para a Ciência e a Tecnologia, I.P., under the scope of the following projects:
UIDB/00297/2020, UIDP/00297/2020, UID/MAT/00297/2019, UID/MAT/00297/2013, PEst-OE/MAT/UI0297/2014, PEst-OE/MAT/UI0297/2011.