16 citations · 51 across the 58 of their papers we have counts for
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math.DS2009★ 1 cited
Mixing constructions with infinite invariant measure and spectral multiplicities
Alexandre I. Danilenko, Valery V. Ryzhikov
We introduce high staircase infinite measure preserving transformations and prove that they are mixing under a restricted growth condition. This is used to (i) realize each subset…
math.DS2009★ 5 cited
Spectral multiplicities for infinite measure preserving transformations
Alexandre I. Danilenko, Valery V. Ryzhikov
Each subset is realized as the set of essential values of the multiplicity function for the Koopman operator of an ergodic conservative infinite measure preserving…