Gaussian automorphisms whose ergodic self-joinings are Gaussian

By Mariusz Lemanczyk, F. Parreau, J. Thouvenot. Fundamenta Mathematicae, 2000

86 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8c76b53897394c3f154a2f40cc1a9b1f774949f0

Citations in the corpus

• Ergodic properties of Poissonian ID processes (2007, unknown): “37 46 v1 [ m at h. PR ] 2 5 Ju l 2 00 7 The Annals of Probability 2007, Vol. 35, No. 2, 551–576 DOI: 10.1214/009117906000000692 c© Institute of Mathematical Statistics, 2007”
• On invariant measures for B-free systems (2014, unknown): “If (S, {0, 1}Z, κ) represents an irrational rotation, (2.19) is clearly satisfied, but there are many weakly mixing systems satisfying (2.19), e.g.: Gaussian systems GAG [10], simple systems [7] and factors of such systems, in particular, horocycle flows [16].”