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math.DS2000★ 1 cited
Bijective and general arithmetic codings for Pisot automorphisms of the torus
Nikita Sidorov
Let be an algebraic automorphism of having the following property: the characteristic polynomial of its matrix is irreducible over , and a Pisot nu…
math.PR2000★ 5 cited
On the fine structure of stationary measures in systems which contract-on-average
Matthew Nicol, Nikita Sidorov, David Broomhead
Suppose is a set of Lipschitz maps of . We form the iterated function system (IFS) by independently choosing the maps so that the map is chose…