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Random noncommutative geometry can be seen as a Euclidean path-integral approach to the quantization of the theory defined by the Spectral Action in noncommutative geometry (NCG).
Second Quantization and the Spectral Action
Rui Dong, Masoud Khalkhali, and Walter D. van Suijlekom · 1903
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A survey of spectral models of gravity coupled to matter
Ali H. Chamseddine and Walter D. van Suijlekom · 1904
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Random Finite Noncommutative Geometries and Topological Recursion
Shahab Azarfar and Masoud Khalkhali · 1906
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Finite spectral triples for the fuzzy torus
John W. Barrett and James Gaunt · 1908
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Carlos I. Pérez-Sánchez · 1912
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On differentiating a matrix
Herbert W. Turnbull · 1928
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The Renormalization Group: Critical Phenomena and the Kondo Problem
Kenneth G. Wilson · 1975
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A cyclic derivative in noncommutative algebra
Gian-Carlo Rota, Bruce Sagan, and Paul R. Stein · 1980
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Renormalization and Effective Lagrangians
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Ising model on a dynamical planar random lattice: Exact solution
Vladimir A. Kazakov · 1986
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Edouard Brezin and Jean Zinn-Justin · 1992
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Renormalization group approach to matrix models in two-dimensional quantum gravity
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H. Grosse and P. Prešnajder · 1995
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The Spectral action principle
Ali H. Chamseddine and Alain Connes · 1997
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Classification of finite spectral triples
Thomas Krajewski · 1998
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On gauge invariant Wilsonian flows
Daniel F. Litim and Jan M. Pawlowski · 1998
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Discrete sprectral triples and their symmetries
Mario Paschke and Andrzej Sitarz · 1998
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Two matrix model with ABAB interaction
Vladimir A. Kazakov and Paul Zinn-Justin · 1999
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Renormalization: An introduction
Manfred Salmhofer · 1999
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A Nonperturbative Lorentzian path integral for gravity
Jan Ambjorn, J. Jurkiewicz, and R. Loll · 2000
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A note on cyclic gradients
Dan Voiculescu · 2000
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Flowing in discrete gravity models and Ward identities: A review
Ezinvi Baloitcha, Vincent Lahoche, and Dine Ousmane Samary · 2001
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Mind the gap
Daniel F. Litim · 2001
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On spherical harmonics for fuzzy spheres in diverse dimensions
Sanjaye Ramgoolam · 2001
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3-D Lorentzian quantum gravity from the asymmetric ABAB matrix model
Jan Ambjørn, Jerzy Jurkiewicz, Renate Loll, and Graziano Vernizzi · 2003
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A Fuzzy three sphere and fuzzy tori
Brian P. Dolan and Denjoe O’Connor · 2003
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Large N expansion of the 2 matrix model
Bertrand Eynard · 2003
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Renormalization of 3-d quantum gravity from matrix models
J. Ambjørn, J. Jurkiewicz, and R. Loll · 2004
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Free energy topological expansion for the 2-matrix model
Gauge networks in noncommutative geometry
Matilde Marcolli and Walter D. van Suijlekom · 2014
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Matrix geometries and fuzzy spaces as finite spectral triples
John W. Barrett · 2015
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Phase Transition in Tensor Models
Thibault Delepouve and Răzvan Gurău · 2015
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Monte Carlo simulations of random non-commutative geometries
John W. Barrett and Lisa Glaser · 2016
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Counting Surfaces
B. Eynard · 2016
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Free analysis and random matrices
Alice Guionnet · 2016
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Invitation to Random Tensors
Razvan Gurau · 2016
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Alain Connes and Matilde Marcolli · 2007
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Entropy and the spectral action
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Quantum Gravity and the Functional Renormalization Group: The Road towards Asymptotic Safety
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