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math.RT2010
Asymptotics of the maximal and the typical dimensions of isotypic components of tensor representations of the symmetric group
Sevak Mkrtchyan
Vershik and Kerov gave asymptotical bounds for the maximal and the typical dimensions of irreducible representations of symmetric groups . It was conjectured by G. Olshanski t…
math-ph2010★ 10 cited
Scaling limits of random skew plane partitions with arbitrarily sloped back walls
Sevak Mkrtchyan
The paper studies scaling limits of random skew plane partitions confined to a box when the inner shapes converge uniformly to a piecewise linear function V of arbitrary slopes in…