MULTIPLE RECURRENCE AND CONVERGENCE RESULTS ASSOCIATED TO F-P(omega)-ACTIONS

作者：Bergelson Vitaly^*; Tao Terence; Ziegler Tamar

来源：Journal d Analyse Mathematique, 2015, 127(1): 329-378.

DOI：10.1007/s11854-015-0033-1

Using an ergodic inverse theorem obtained in our previous paper, we obtain limit formulae for multiple ergodic averages associated with the action of F-p(omega) = circle plus F-p. From this we deduce multiple Khintchine-type recurrence results analogous to those for a"currency sign-systems obtained by Bergelson, Host, and Kra, and also present some new counterexamples in this setting.

• 出版日期2015-9