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Quantum groups, skein theories, operadic and diagrammatic algebra, quantum field theory

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Asymptotics of q-Catalan numbers

q-Catalan numbers are defined recurrently as C0=1, $C_{N+1}=\sum_{k=0}^N q^k C_k C_{N-k}$. What can be said about the asymptotics of Cn when 0<q<1? P.S. In the case q>1 it is known that as n goes to …
Leonid Petrov's user avatar