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A Structure Theorem for n ‐to‐1 Endomorphisms and Existence of Non‐Recurrent Measures
Author(s) -
Eigen Stanley J.,
Silva Cesar E.
Publication year - 1989
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-40.3.441
Subject(s) - endomorphism , mathematics , structured program theorem , pure mathematics , discrete mathematics , calculus (dental) , medicine , dentistry
We prove a stack structure decomposition for conservative ergodic n ‐to‐1 non‐singular endomorphisms of a Lebesgue space. This decomposition is used to construct equivalent non‐recurrent measures for these endomorphisms.