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We determine when two almost automorphisms of a regular tree are conjugate.This is done by combining the classification of conjugacy classes in theautomorphism group of a level-homogeneous tree by Gawron, Nekrashevych andSushchansky and the solution of the conjugacy problem in Thompson's $V$ by Belkand Matucci. We also analyze dynamics of tree almost automorphisms.

Conjugacy and Dynamics in Almost Automorphism Groups of Trees