3 papers
math-ph2026
Liouville Quantum Duality and Random Planar Maps II
Bertrand Duplantier, Emmanuel Guitter
This is Part II of our project on block-weighted planar maps and Liouville quantum duality. Focusing on the scaling properties at the dual critical point, we derive the conditional…
math.CV2026
Integral Means Spectrum for the Random Riemann Zeta Function
Bertrand Duplantier, Véronique Gayrard, Eero Saksman
We study the integral means spectrum associated with the analytic function whose derivative is the so-called randomized Riemann zeta-function, introduced some time ago by Bagchi. T…
math-ph2025
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…