PermalinkSubmitted by johnmfranks on Mon, 11/14/2016 - 17:24

The infinite product expression for $1/( 1 -t)$ is likely intended as a homology zeta function (see [1]). L.-S. Young and J. Franks in [2] construct a $C^1$ diffeo of $D^2$ with one periodic point of period $2^n$ for each $n$. They are all saddles and there are no other periodic points. The homology zeta function for this example is$1/(1-t)$. Possibly Rufus was asking if this could be done $C^2$. The case when the diffeo is $C^1$ was done in [3].

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## FL

Cannot decipher...

## JMF

The infinite product expression for $1/( 1 -t)$ is likely intended as a homology zeta function (see [1]). L.-S. Young and J. Franks in [2] construct a $C^1$ diffeo of $D^2$ with one periodic point of period $2^n$ for each $n$. They are all saddles and there are no other periodic points. The homology zeta function for this example is$1/(1-t)$. Possibly Rufus was asking if this could be done $C^2$. The case when the diffeo is $C^1$ was done in [3].

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