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math.DS2013
Infinite Determinantal Measures and The Ergodic Decomposition of Infinite Pickrell Measures I. Construction of infinite determinantal measures
Alexander I. Bufetov
This paper is the first in a series of three. The main result, Theorem 1.11, gives an explicit description of the ergodic decomposition for infinite Pickrell measures on spaces of…
math.DS2013
On the modulus of continuity for spectral measures in substitution dynamics
Alexander I. Bufetov, Boris Solomyak
The paper gives first quantitative estimates on the modulus of continuity of the spectral measure for weak mixing suspension flows over substitution automorphisms, which yield info…