Weak mixing for reparameterized linear flows on the torus

By Bassam Fayad. Ergodic Theory and Dynamical Systems, 2002

59 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ddbc3c4e935833ac87ad050dbcf359d0515c9594

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. A. Katok
2. Tobias Jäger
3. Mariusz Lemanczyk
4. A. DEL JUNCO
5. Joseph M. Rosenblatt
6. Bassam Fayad
7. Vitaly Bergelson
8. J. Thouvenot

In Mathematical Physics

1. A. Katok
2. Tobias Jäger
3. Mariusz Lemanczyk
4. A. DEL JUNCO
5. Joseph M. Rosenblatt
6. Bassam Fayad
7. Vitaly Bergelson
8. J. Thouvenot

In Statistical and Nonlinear Physics

1. A. Katok
2. Tobias Jäger
3. A. DEL JUNCO
4. Vitaly Bergelson
5. Mariusz Lemanczyk
6. Joseph M. Rosenblatt
7. Bassam Fayad
8. J. Thouvenot

Citations in the corpus

• Linearization of conservative toral homeomorphisms (2008, background): “dynamics which are very different from quasiperiodic ones, for example it can exhibit weak mixing [3].”
• Rigidity and non-recurrence along sequences (2011, result): “Also, Fayad [15] obtained a result as in Corollary 3.34 but his result is restricted to the denominators of Liouville numbers.”
• Constructions in elliptic dynamics (2004, background): “Stability appears when the linear model, the translation (or rotation if multiplicative notations are used) of the torus Tk , Tαx = x + α, mod 1, or the linear flow on Tk ,”