Description
Dear Colleague,
It is our pleasure to invite you to the next talk in our Online Number Theory Seminar, on 24 January (Friday) at 17:00 CET (8:00 PST, 11:00 EST, 16:00 GMT, 18:00 IST, 21:30 India Standard Time; already Saturday 3:00 AEDT, 5:00 NZDT)
Speaker: J. Thuswaldner (University of Leoben)
Title: Sequences of Matrices and Substitutions
Abstract: It is well known that one can attach a Markov partition to a hyperbolic toral automorphism on the torus. Such an automorphism can be represented by a matrix with unit determinant. Generalizing this setting, we consider sequences of matrices with unit determinant. Such sequences are generated for instance by multidimensional continued fraction algorithms. By relating a sequence of substitutions to a sequence of matrices we are able to define Markov partitions and, hence, symbolic representations, for this "nonstationary" case.
Meeting link: https://unideb.webex.com/unideb/j.php?MTID=m5746300868a758f1b218b4c1e090fa18
Meeting number: 2738 099 6195
Please, share the link with colleagues who are interested, tell us if you have a proposal for a talk, and
also inform us in case you are not willing to receive announcements of these events. The email address of the
seminar is ntrg@science.unideb.hu . We keep the program updated at https://ntrg.math.unideb.hu/seminar.html ,
where (upon the agreement of the Speaker), you can also find the video and the slides of the talk.
We are looking forward to meeting you, with kind regards,
the organizers (K.Győry, Á.Pintér, L.Hajdu, A.Bérczes, Sz.Tengely, I.Pink, Debrecen Number Theory Research Group , University of Debrecen)