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math.CO2005
Coherent permutations with descent statistic and the boundary problem for the graph of zigzag diagrams
Alexander Gnedin, Grigori Olshanski
The graph of zigzag diagrams is a close relative of Young's lattice. The boundary problem for this graph amounts to describing coherent random permutations with descent-set statist…
math-ph2005
Giambelli compatible point processes
Alexei Borodin, Grigori Olshanski, Eugene Strahov
We distinguish a class of random point processes which we call Giambelli compatible point processes. Our definition was partly inspired by determinantal identities for averages of…