A new partition identity coming from complex dynamics
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چکیده
We present a new identity involving compositions (i.e. ordered partitions of natural numbers). The formula has its origin in complex dynamical systems and appears when counting, in the polynomial family {fc : z 7→ z d + c}, periodic critical orbits with equivalent itineraries. We present two proofs of the identity; one following the original approach in dynamics and another coming from the classical theory of partitions.
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تاریخ انتشار 2001