Joe Baron (@JoeBaron22) header
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Joe Baron

@JoeBaron22

Postdoc in Theoretical Physics of Disordered Systems at ENS Paris

 Paris, France
Joined February 2013
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Photo by Joe Baron (@JoeBaron22)Photo by Joe Baron (@JoeBaron22)
New preprint: arxiv.org/abs/2308.13605 A new method for calculating the eigenvalue spectra of non-Hermitian random matrices is presented. Using a path-integral approach (with Feynman diagrams), the sparse corrections to the classic elliptic and semi-circular laws are found.
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The biggest advantage of the method is the simplicity and generality of the expressions obtained for the eigenvalue spectra. The approach is extended to a variety of other ensembles (matrices with non-Gaussian statistics, for example).
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New in PRL: journals.aps.org/prl/abstrac… We show that the full statistics of the interactions of species in a surviving Lotka-Volterra community, beyond those of a Gaussian ensemble, are required to correctly predict stability, i.e. the RMT universality principle fails in this system

Breakdown of Random-Matrix Universality in Persistent Lotka-Volterra Communities

The eigenvalue spectrum of a random matrix often only depends on the first and second moments of its elements, but not on the specific distribution from which they are drawn. The validity of this...

journals.aps.org
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As a consequence, we show that the eigenvalue spectra of random matrices (à la Robert May) can be used to deduce the stability of “feasible” ecological communities, but only if the emergent non-Gaussian statistics of the interactions between species are taken into account
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Fully funded (v well paid) PhD studentship to work with me at @IFISC and @gwaconstable (York) on Statistical Physics of Stochastic Populations. Deadline 25th Jan. ifisc.uib-csic.es/en/about-i…. Get in touch (email) in next few days, I can help with application to La Caixa foundation.
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New in PRE: I find the corrections to the well-known elliptic, circular and semi-circular laws in random matrix theory due to network degree heterogeneity. We see that NDH tends to be a destabilising influence unless edge weights are very antisymmetric. link.aps.org/doi/10.1103/Phy…
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New preprint: arxiv.org/abs/2206.13436 Using random matrix theory, the effect of network structure on the stability of a complex network is found. I derive modified versions of the well-known elliptic, circular and semi-circular laws for non-zero network heterogeneity.
Eigenvalue spectra and stability of directed complex networks

Eigenvalue spectra and stability of directed complex networks

Quantifying the eigenvalue spectra of large random matrices allows one to understand the factors that contribute to the stability of dynamical systems with many interacting components. This work...

arxiv.org
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Very happy to see this work published. By mapping the random matrix problem onto a dynamical system, we use a path integral approach to find the outlier eigenvalues of matrices with previously neglected correlations. In the end, we arrive at a surprisingly simple formula.
Tobias Galla (also on BlueSky) (@tobiasgalla) profile pictureTobias Galla (also on BlueSky)@tobiasgalla22 Mar 2022
"Eigenvalues of Random Matrices with Generalized Correlations: A Path Integral Approach" (with @JoeBaron22, T. J. Jewell, C. Ryder) Now available in Physical Review Letters: journals.aps.org/prl/abstrac…

Eigenvalues of Random Matrices with Generalized Correlations: A Path Integral Approach

Random matrix theory allows one to deduce the eigenvalue spectrum of a large matrix given only statistical information about its elements. Such results provide insight into what factors contribute to...

journals.aps.org
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Non-Gaussian random matrices determine the stability of Lotka-Volterra communities (w @JoeBaron22, T. J. Jewell and C. Ryder) arxiv.org/abs/2202.09140 - Interaction matrix btw species emerging from random Lotka-Volterra eqs is non-Gaussian (even if original is Gaussian). >>>
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A lock-down project finally come to fruition! A model of opinion dynamics with disordered interactions. Using dynamic mean-field theory, I find the kinds of interactions that promote that consensus, polarisation and a spread of opinion within this model journals.aps.org/pre/abstrac…
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Eigenvalues of random matrices with generalised correlations: a path integral approach (w @JoeBaron22, T. J. Jewell, C. Ryder) We map the resolvent of a random matrix onto the response function of a disordered dynamical system, ... arxiv.org/abs/2108.06225
Eigenvalues of random matrices with generalised correlations: a...

Eigenvalues of random matrices with generalised correlations: a...

Random matrix theory allows one to deduce the eigenvalue spectrum of a large matrix given only statistical information about its elements. Such results provide insight into what factors contribute...

arxiv.org
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I was of course gutted to see England lose by such a slim margin last night, but after having seen the disgraceful conduct of some of the England fans, I can honestly say that I am far more disappointed by their behaviour than by the result.
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#ifisc_seminar Annabel Davies, The University of Manchester, Statistical physics approaches to network meta-analysis (28-04-2021 12:30 PM) ifisc.uib-csic.es/en/events/…
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Do you want to know what young IFISC (UIB-CSIC) researchers are working on? WELCOME TO THE IFISC POSTER WEEK! This year for the first time you can decide which poster is the best and enter the draw to win an IFISC merchandising kit! 🤩 More details at the end of this thread 👇
Image from IFISC (UIB-CSIC) (@IFISC_mallorca)
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I would normally try to avoid the frankly baffling American month/day/year date convention, but I will put aside my petty grudge to share this wonderful formula connecting Pi and e due to Ramanujan. A discussion/proof can be found here math.stackexchange.com/quest…
Image from Joe Baron (@JoeBaron22)
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The challenge is now to find an even nicer formula before the 31st of April...
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This perhaps wouldn't be as much of a time-constraint as I thought because, as I have just now been informed, the date in question does not actually exist. Who knew?
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📆Tuesday next week - our next seminar will be given by @GezaMeszena discussing coexistence, niches, adaptation and beyond. Do join us, fully open to all! Zoom link and details available here: eventbrite.co.uk/e/theoretic…
Image from International Initiative for Theoretical Ecology (@iite_info)
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Call for papers: Complex Systems Approaches to Information Processing (Focus Issue, Journal of Physics: Complexity, Institute of Physics) iopscience.iop.org/journal/2… Guest Editors: @nlphotonics, @claudioMirasso, @MaxiSanMiguel
Image from IFISC (UIB-CSIC) (@IFISC_mallorca)
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New pre-print: "Persistent individual bias in a voter model with quenched disorder". First solo effort -- more to come! arxiv.org/abs/2102.05006
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