W czwartek 19.10.2023 r. o godzinie 11:15 w sali A.1.14 w budynku C-19 (oraz online) odbędzie się pierwszy wykład w ramach Seminarium CRN. Prelegentem będzie

prof. Tomasz Downarowicz

który wygłosi odczyt pt.

Topological normality preservation by addition.

Streszczenie referatu:

In this lecture, inaugural for the CRN seminar, I will present something perhaps interesting, very natural and — above all — easy to follow, namely, an answer to the question given below.

A symbolic sequence x over a finite alphabet A = {0, 1, 2, …, r – 1} is called topologically normal if it is transitive in the full shift over A (that is, every finite block of symbols occurs in x). In the shift space we introduce coordinatewise addition modulo r.

Question: What sequences y over A have the property that x + y is topologically normal for every topologically normal sequence x?

The answer is surprising, because it involves a new class of sequences that presumably none of us has ever heard about before.

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