38 citations · 183 across the 18 of their papers we have counts for
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math-ph2018★ 3 cited
On the combinatorics of last passage percolation in a quarter square and fluctuations
Dan Betea
In this note we give a(nother) combinatorial proof of an old result of Baik--Rains: that for appropriately considered independent geometric weights, the generating series for last…
math-ph2018★ 35 cited
The periodic Schur process and free fermions at finite temperature
Dan Betea, Jérémie Bouttier
We revisit the periodic Schur process introduced by Borodin in 2007. Our contribution is threefold. First, we provide a new simpler derivation of its correlation functions via the…
math-ph2018★ 6 cited
Correlations for symplectic and orthogonal Schur measures
Dan Betea
We show, using either Fock space techniques or Macdonald difference operators, that certain symplectic and orthogonal analogues of Okounkov's Schur measure are determinantal with k…