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An international platform for information exchange among scientists working on
mathematical, conceptual, and constructive problems in
local relativistic quantum physics (LQP).

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A ribbon graph derivation of the algebra of functional renormalization for random multi-matrices with multi-trace interactions

Carlos I. Perez-Sanchez
November 04, 2021
Renormalization Group, Random Matrices, Noncommutative Algebra
open access link Lett. Math. Phys. 112, 58 (2022)

On multimatrix models motivated by random noncommutative geometry II: A Yang-Mills-Higgs matrix model

Carlos I. Perez-Sanchez
May 03, 2021
finite almost-commutative manifolds, noncommutative geometry, Gauge theory, random noncommutative geometry, quantum gravity
open access link Ann. Henri Poincaré

On multimatrix models motivated by random Noncommutative Geometry I: the Functional Renormalization Group as a flow in the free algebra

Carlos I. Perez-Sanchez
July 21, 2020
Renormalization Group, noncommutative geometry, matrix models, fuzzy geometry, quantum spacetime, large-N limit, free probability
open access link Ann Henri Poincaré 22:3095-3148, 2021

Computing the spectral action for fuzzy geometries: from random noncommutatative geometry to bi-tracial multimatrix models

Carlos I. Perez-Sanchez
December 31, 2019
noncommutative geometry, spectral triple, random fuzzy geometries, multimatrix models
open access link J. Noncommut. Geom. 16 (2022), no. 4, pp. 1137-1178

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