23 citations · 77 across the 14 of their papers we have counts for
16 papers
Asymmetric phase transitions in random noncommutative geometries
Benedek Bukor, Masoud Khalkhali, Samuel Kováčik +4
In this paper, we study the asymmetric phases of the quartic type (0, 1) and (1, 0) Dirac en- sembles via three approaches: the Riemann-Hilbert approach, bootstrapping with positiv…
The Schwinger-Dyson equations for random fuzzy geometries coupled to matter
Jeremy Gamble, Masoud Khalkhali, Nathan Pagliaroli
In this work we study the Schwinger-Dyson equations and saddle point equations of matrix integrals that come from type random fuzzy geometries coupled to fermions or bosons…
Bootstrapping Tensor Integrals
Nathan Pagliaroli, Carlos I. Pérez-Sánchez, Brayden Smith
This work proposes a bootstrapping with positivity methodology to study random invariant tensors in the large limit. As has been done for invariant random mat…
Bootstrapping Noncommutative Geometry with Dirac Ensembles
Masoud Khalkhali, Nathan Pagliaroli
This paper surveys a bootstrap framework for random Dirac operators arising from finite spectral triples in noncommutative geometry. Motivated by a toy model for quantum gravity to…
Enumerating planar stuffed maps as hypertrees of mobiles
Nathan Pagliaroli
A planar stuffed map is an embedding of a graph into the 2-sphere , considered up to orientation-preserving homeomorphisms, such that the complement of the graph is a collec…
Energy dynamics in a class of local random matrix Hamiltonians
Klée Pollock, Jonathan D. Kroth, Nathan Pagliaroli +2
Random matrix theory yields valuable insights into the universal features of quantum many-body chaotic systems. Although all-to-all interactions are traditionally studied, many int…
Bootstrapping the critical behavior of multi-matrix models
Masoud Khalkhali, Nathan Pagliaroli, Andrei Parfeni +1
Given a matrix model, by combining the Schwinger-Dyson equations with positivity constraints on its solutions, in the large limit one is able to obtain explicit and numerical b…
Large N limit of fuzzy geometries coupled to fermions
Masoud Khalkhali, Nathan Pagliaroli, Luuk S. Verhoeven
In this paper we present an analysis of the large N limit of a family of quartic Dirac ensembles based on (0, 1) fuzzy geometries that are coupled to fermions. These Dirac ensemble…
Coloured combinatorial maps and quartic bi-tracial 2-matrix ensembles from noncommutative geometry
Masoud Khalkhali, Nathan Pagliaroli
We compute the first twenty moments of three convergent quartic bi-tracial 2-matrix ensembles in the large limit. These ensembles are toy models for Euclidean quantum gravity o…
No-resonance conditions, random matrices, and quantum chaotic models
Jonathon Riddell, Nathan Pagliaroli
In this article we investigate no-resonance conditions for quantum many body chaotic systems and random matrix models. No-resonance conditions are properties of the spectrum of a m…
Concentration of quantum equilibration and an estimate of the recurrence time
Jonathon Riddell, Nathan Pagliaroli, Álvaro M. Alhambra
We show that the dynamics of generic quantum systems concentrate around their equilibrium value when measuring at arbitrary times. This means that the probability of finding them a…
From Noncommutative Geometry to Random Matrix Theory
Hamed Hessam, Masoud Khalkhali, Nathan Pagliaroli +1
We review recent progress in the analytic study of random matrix models suggested by noncommutative geometry. One considers fuzzy spectral triples where the space of possible Dirac…
Double scaling limits of Dirac ensembles and Liouville quantum gravity
Hamed Hessam, Masoud Khalkhali, Nathan Pagliaroli
In this paper we study ensembles of finite real spectral triples equipped with a path integral over the space of possible Dirac operators. In the noncommutative geometric setting o…
Spectral Statistics of Dirac Ensembles
Masoud Khalkhali, Nathan Pagliaroli
In this paper we find spectral properties in the large limit of Dirac operators that come from random finite noncommutative geometries. In particular for a Gaussian potential t…
Bootstrapping Dirac Ensembles
Hamed Hessam, Masoud Khalkhali, Nathan Pagliaroli
We apply the bootstrap technique to find the moments of certain multi-trace and multi-matrix random matrix models suggested by noncommutative geometry. Using bootstrapping we are a…
Phase Transition in Random Noncommutative Geometries
Masoud Khalkhali, Nathan Pagliaroli
We present an analytic proof of the existence of phase transition in the large limit of certain random noncommutaitve geometries. These geometries can be expressed as ensembles…