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20042025
most citedErgodic averages of commuting transformations with distinct degree polynomial iterates

39 citations · 166 across the 41 of their papers we have counts for

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math.CO2005

On the degree of regularity of generalized van der Waerden triples

Nikos Frantzikinakis, Bruce Landman, Aaron Robertson

Let be integers. A triple of the form , where are positive integers is called an {\em (a,b)-triple}. The {\em degree of regularity} of the f…

math.DS2005

Sets of k-recurrence but not (k+1)-recurrence

N. Frantzikinakis, E. Lesigne, M. Wierdl

For every , we produce a set of integers which is -recurrent but not -recurrent. This extends a result of Furstenberg who produced a 1-recurrent set whic…