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Factorisation of Lefschetz zeta functions and twisted periodic orbits.

Mark Pollicott (1994)

Mathematische Zeitschrift

Factors and Extensions of Full Shifts.

Brian Marcus (1979)

Monatshefte für Mathematik

Fixed points of discrete nilpotent group actions on $S^{2}$

Suely Druck, Fuquan Fang, Sebastião Firmo (2002)

Annales de l’institut Fourier

We prove that for each integer $k \geq 2$ there is an open neighborhood $𝒱_{k}$ of the identity map of the 2-sphere $S^{2}$ , in $C^{1}$ topology such that: if $G$ is a nilpotent subgroup of ${Diff}^{1} (S^{2})$ with length $k$ of nilpotency, generated by elements in $𝒱_{k}$ , then the natural $G$ -action on $S^{2}$ has nonempty fixed point set. Moreover, the $G$ -action has at least two fixed points if the action has a finite nontrivial orbit.

Fixed points of log-linear discrete dynamics.

Sawada, Ken, Togawa, Yoshio (1997)

Discrete Dynamics in Nature and Society

Fixed points, periodic points, and coin-tossing sequences for mappings defined on two-dimensional cells.

Papini, Duccio, Zanolin, Fabio (2004)

Fixed Point Theory and Applications [electronic only]

Flow equivalence, hyperbolic systems and a new zeta function for flows.

David Fried (1982)

Commentarii mathematici Helvetici