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math-ph2017★ 13 cited
Arctic Curves in path models from the Tangent Method
Philippe Di Francesco, Matthew F. Lapa
Recently, Colomo and Sportiello introduced a powerful method, known as the \emph{Tangent Method}, for computing the arctic curve in statistical models which have a (non- or weakly-…
math-ph2017★ 1 cited
(t,q) Q-systems, DAHA and quantum toroidal algebras via generalized Macdonald operators
Philippe Di Francesco, Rinat Kedem
We introduce difference operators on the space of symmetric functions which are a natural generalization of the -Macdonald operators. In the limit, they satisfy…