N. Sidorov

activity

19982002

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math.DS2000

Bijective and general arithmetic codings for Pisot automorphisms of the torus

Nikita Sidorov

Let $T$ be an algebraic automorphism of $T^{m}$ having the following property: the characteristic polynomial of its matrix is irreducible over $Q$ , and a Pisot nu…

math.PR2000

On the fine structure of stationary measures in systems which contract-on-average

Matthew Nicol, Nikita Sidorov, David Broomhead

Suppose ${f_{1}, ..., f_{m}}$ is a set of Lipschitz maps of $R^{d}$ . We form the iterated function system (IFS) by independently choosing the maps so that the map $f_{i}$ is chose…