Dynamics in Thompson's Group F
classification
🧮 math.GR
math.DS
keywords
dynamicselementsfunctionsgroupthompsonconjugacycorrespondencedescribe
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We describe an explicit relationship between strand diagrams and piecewise-linear functions for elements of Thompson's group F. Using this correspondence, we investigate the dynamics of elements of F, and we show that conjugacy of one-bump functions can be described by a Mather-type invariant.
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