Infinite measure preserving flows with infinite ergodic index

• Autorzy: Alexandre I. Danilenko , Anton V. Solomko
• Języki publikacji: EN

Abstrakty

EN

We construct a rank-one infinite measure preserving flow $(T_r)_{r∈ ℝ}$ such that for each p > 0, the "diagonal" flow $(T_r × ⋯ × T_r)_{r∈ ℝ} (p times)$ on the product space is ergodic.

Kategorie tematyczne

• 37A40: Nonsingular (and infinite-measure preserving) transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2009
• Tom: 115
• Numer: 1
• Strony: 13-19

Daty

wydano

2009

Twórcy

autor

Alexandre I. Danilenko

• Institute for Low Temperature Physics, & Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkov, 61164, Ukraine

autor

Anton V. Solomko

• Department of Mathematics and Mechanical Engineering, Kharkov National University, 4 Freedom sq., Kharkov, 61077, Ukraine

Identyfikatory

DOI

10.4064/cm115-1-2