Gert-Jan Dugardein

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20132015

most citedNielsen zeta functions for maps on infra-nilmanifolds are rational

2 citations · 3 across the 3 of their papers we have counts for

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math.DS2015

Nielsen periodic point theory on infra-nilmanifolds

Gert-Jan Dugardein

In this paper, we expand certain aspects of Nielsen periodic point theory from tori and nilmanifolds to infra-nilmanifolds. We show that infra-nilmanifolds are essentially reducibl…

math.DS2014

A note on homotopy minimal periods for hyperbolic maps on infra-nilmanifolds

Karel Dekimpe, Gert-Jan Dugardein

In this paper, we show that for every non-nilpotent hyperbolic map $f$ on an infra-nilmanifold, the $HPer (f)$ is cofinite in $N$ . This generalizes a similar resul…