C. Pfaff

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20242026

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math.GR2024

Out( $F_{r}$ ) train track automata I: Proper full fold decompositions

Catherine Eva Pfaff

We describe train track automata for large classes of fully irreducible elements of Out( $F_{r}$ ), and their associated geodesics in Culler-Vogtmann Outer Space.

math.GT2024

Collar parameters for Teichmuller Space & Measured Foliations on a Surface Research Announcement

Daryl Cooper, Catherine Pfaff

We defined a new set of coordinates with respect to which the Thurston compactification of Teichmuller space is the radial compactification of Euclidean space.

Out(Fr​) train track automata I: Proper full fold decompositions

Collar parameters for Teichmuller Space & Measured Foliations on a Surface Research Announcement

Out( $F_{r}$ ) train track automata I: Proper full fold decompositions