Combinatorical and Algebraic Structures Seminar
Session details
| Date: | 9.12.2014 |
| Speaker: | Adrian Scheerer, Institute for Analysis and Computational Number Theory, Graz |
| Title: | Normal Numbers – Introduction, Examples and Techniques |
| Abstract: | In this talk we will introduce the concept of a normal number. A real number is normal in base $b$ if in its base $b$ expansion all possible finite blocks of digits occur with the expected asymptotic frequency. Normal numbers were introduced in 1909 by Émile Borel and have since been a lively area of research. We will give an overview of the subject and present examples of normal numbers and sketch the techniques that were used to obtain them. We also mention possible generalizations of the concept of normality to other number systems such as beta-expansions. |
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