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On the structure of ($-\beta$)-integers     structure  math       2010/11/12
The $(-\beta)$-integers are natural generalisations of the $\beta$-integers, and thus of the integers, for negative real bases. When $\beta$ is a $(-\beta)$-number, which is the analogue of a Parry nu...
Let $K$ be a complete discrete valued field of characteristic zero with residue field $k_K$ of characteristic $p > 0$. Let $L/K$ be a finite Galois extension with the Galois group $G$ and suppose tha...
We prove a Marstrand type theorem for a class of subsets of the integers. More specifically, after defining the counting dimension D(E) of subsets of Z and the concepts of regularity and compatibilit...
We study certain self-interacting walks on the set of integers, that choose to jump to the right or to the left randomly but influenced by the number of times they have previously jumped along the ed...

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