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9 papers · 2 filters
Non-Abelian symmetries of the half-infinite XXZ spin chain
Pascal Baseilhac, Samuel Belliard
The non-Abelian symmetries of the half-infinite XXZ spin chain for all possible types of integrable boundary conditions are classified. For each type of boundary conditions, an ana…
Weighted Hurwitz numbers and topological recursion: an overview
A. Alexandrov, G. Chapuy, B. Eynard +1
Multiparametric families of hypergeometric -functions of KP or Toda type serve as generating functions for weighted Hurwitz numbers, providing weighted enumerations of branched…
Integrable differential systems of topological type and reconstruction by the topological recursion
Raphaël Belliard, Bertrand Eynard, Olivier Marchal
Starting from a rational Lax pair system of the form and we prove that, under certain assumptions (genus spectral c…
Restriction and induction of indecomposable modules over the Temperley-Lieb algebras
Jonathan Belletête, David Ridout, Yvan Saint-Aubin
Both the original Temperley-Lieb algebras and their dilute counterparts form families of filtered algebras: $\mathsf{TL}_{n}\subset \mathsf{TL}…
Integral means spectrum of whole-plane SLE
Dmitry Beliaev, Bertrand Duplantier, Michel Zinsmeister
We complete the mathematical analysis of the fine structure of harmonic measure on SLE curves that was initiated by Beliaev and Smirnov, as described by the averaged integral means…
Nesting statistics in the O(n) loop model on random planar maps
Gaëtan Borot, Jérémie Bouttier, Bertrand Duplantier
In the O(n) loop model on random planar maps, we study the depth - in terms of the number of levels of nesting - of the loop configuration, by means of analytic combinatorics. We f…