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math.CO2020
Refined Catalan and Narayana cyclic sieving
Per Alexandersson, Svante Linusson, Samu Potka +1
We prove several new instances of the cyclic sieving phenomenon (CSP) on Catalan objects of type A and type B. Moreover, we refine many of the known instances of the CSP on Catalan…
math.PR2020
Limiting directions for random walks in classical affine Weyl groups
Erik Aas, Arvind Ayyer, Svante Linusson +1
Let be a finite Weyl group and the corresponding affine Weyl group. A random element of can be obtained as a reduced random walk on the alcoves of…