School on Hyperbolic Dynamics

# poster: Equivalencies between shift spaces

speaker: Naghmeh Akhavan (Guilan University, Iran, PhD student)

abstract: Given $XA$ and $XB$ two subshifts of finite type. $XA$ and $XB$ are conjugate if and only if there is a strong shift equivalency between matrices $A$ and $B$. The weaker equivalency between two SFT's is Shift equivalency. Every Strong shift equivalency is Shift equivalency. By topological properties we show that the converse is true.

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