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5 papers · 2 filters
Generalized cycles on Spectral Curves
B. Eynard
Generalized cycles can be thought of as the extension of form-cycle duality between holomorphic forms and cycles, to meromorphic forms and generalized cycles. They appeared as an u…
Recursions and ODEs for the correlators in integrable systems and random matrices
Bertrand Eynard, Dimitrios Mitsios, Soufiane Oukassi
An integrable system is often formulated as a flat connection, satisfying a Lax equation. It is given in terms of compatible systems having a common solution called the ``wave func…
Hamiltonian cycles on bicolored random planar maps
Bertrand Duplantier, Olivier Golinelli, Emmanuel Guitter
We study the statistics of Hamiltonian cycles on various families of bicolored random planar maps (with the spherical topology). These families fall into two groups corresponding t…
Duality and Macdonald difference operators
Philippe Di Francesco, Rinat Kedem
This note summarizes certain properties common to Macdonald, Koornwinder and Arthamonov-Shakirov -difference operators, relating to the duality or bi-spectrality properties of t…
Jánossy densities and Darboux transformations for the Stark and cylindrical KdV equations
Tom Claeys, Gabriel Glesner, Giulio Ruzza +1
We study Jánossy densities of a randomly thinned Airy kernel determinantal point process. We prove that they can be expressed in terms of solutions to the Stark and cylindrical Kor…