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197 papers · 1 filter
Topological Recursion, explicit ABCD tensors and implementation
Bertrand Eynard
We provide explicit expressions of ABCD tensors for the most classical classes of spectral curves. And we discuss algorithmic implementation of Topological Recursion.
Three-point functions in critical loop models
Jesper Lykke Jacobsen, Rongvoram Nivesvivat, Sylvain Ribault +1
In two-dimensional models of critical non-intersecting loops, there are -leg fields that insert open loop segments, and diagonal fields that change the…
Liouville Quantum Duality and Random Planar Maps
Bertrand Duplantier, Emmanuel Guitter
We consider models of block-weighted random planar maps in which possibly decorated maps are decomposed canonically into blocks, each block receiving the weight . These maps pre…
Wall-crossing phenomenon for the liquid bin model
Sanjay Ramassamy, Benjamin Terlat
We introduce the liquid bin model as a continuous-time deterministic dynamics, arising as the hydrodynamic limit of a discrete-time stochastic interacting particle system called th…
The factorial growth of topological recursion
Gaëtan Borot, Bertrand Eynard, Alessandro Giacchetto
We show that the -point, genus- correlation functions of topological recursion on any regular spectral curve with simple ramifications grow at most like as $g…
Hirota, Fay and Geometry
Bertrand Eynard, Soufiane Oukassi
This is a review of the relationship between Fay identities and Hirota equations in integrable systems, reformulated in a geometric language compatible with recent Topological Recu…