TY - JOUR
T1 - On a theorem of Dan Rudolph. I
AU - Thouvenot, Jean Paul
AU - Weiss, Benjamin
N1 - Publisher Copyright:
© The Author(s) 2025.
PY - 2025
Y1 - 2025
N2 - Twenty years ago Dan Rudolph gave a seminar talk at the University of Maryland in which he discussed his discovery that if one restricts the shift invariant measures on a finite alphabet shift space to have entropy greater than or equal to c > 0, then the generic measure there defines a process that has entropy c and is isomorphic to a Bernoulli shift. He never published a proof of this theorem. In the following note we will present a proof of this result.
AB - Twenty years ago Dan Rudolph gave a seminar talk at the University of Maryland in which he discussed his discovery that if one restricts the shift invariant measures on a finite alphabet shift space to have entropy greater than or equal to c > 0, then the generic measure there defines a process that has entropy c and is isomorphic to a Bernoulli shift. He never published a proof of this theorem. In the following note we will present a proof of this result.
UR - https://www.scopus.com/pages/publications/105022662927
U2 - 10.1007/s11856-025-2841-z
DO - 10.1007/s11856-025-2841-z
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AN - SCOPUS:105022662927
SN - 0021-2172
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
ER -