66 citations · 420 across the 45 of their papers we have counts for
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Bounds on Kronecker and -binomial coefficients
Igor Pak, Greta Panova
We present a lower bound on the Kronecker coefficients for tensor squares of the symmetric group via the characters of~, which we apply to obtain various explicit estimates. N…
Lozenge tilings with free boundaries
Greta Panova
We study lozenge tilings of a domain with partially free boundary. In particular, we consider a trapezoidal domain (half hexagon), s.t. the horizontal lozenges on the long side can…
Pfaffian formulas for spanning tree probabilities
Greta Panova, David B. Wilson
We show that certain topologically defined uniform spanning tree probabilities for graphs embedded in an annulus can be computed as linear combinations of Pfaffians of matrices inv…
Bounds on the Kronecker coefficients
Igor Pak, Greta Panova
We present several upper and lower bounds on the Kronecker coefficients of the symmetric group. We prove -stability of the Kronecker coefficients generalizing the (usual) stabil…
On the complexity of computing Kronecker coefficients
Igor Pak, Greta Panova
We study the complexity of computing Kronecker coefficients . We give explicit bounds in terms of the number of parts in the partitions, their largest part size $N…