World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
40
Citations
6487
World Ranking
2063
National Ranking
126

Silvio Franz publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Silvio Franz sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 136 publications — 30th percentile

30% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Silvio Franz D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Silvio Franz sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 40 D-Index — 45th percentile

45% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Silvio Franz is affiliated with the University of Paris-Saclay in France and has a research focus primarily within the field of Physics and Astronomy. Their work spans several subfields, including Condensed Matter Physics, Economics and Econometrics, Artificial Intelligence, Mathematical Physics, and Materials Chemistry.

The scientist's research topics cover a range of areas, notably Theoretical and Computational Physics, Complex Systems and Time Series Analysis, Stochastic Processes and Statistical Mechanics, Material Dynamics and Properties, Topological and Geometric Data Analysis, Random Lasers and Scattering Media, and Phase Equilibria and Thermodynamics.

Publications authored or co-authored by Silvio Franz reflect contributions to multiple academic venues with some of their most frequent publications appearing in:

  • arXiv (Cornell University)
  • Journal of Statistical Mechanics Theory and Experiment
  • SciPost Physics
  • Journal of Physics A Mathematical and Theoretical
  • Proceedings of the National Academy of Sciences

Among recent papers, notable works include:

  • "Gradient descent dynamics in the mixed p -spin spherical model: finite-size simulations and comparison with mean-field integration" (2021) published in Journal of Statistical Mechanics Theory and Experiment
  • "Delocalization transition in low energy excitation modes of vector spin glasses" (2022) published in SciPost Physics
  • "Random features and polynomial rules" (2025) published in SciPost Physics
  • "Surfing on minima of isostatic landscapes: avalanches and unjamming transition" (2021) published in Journal of Statistical Mechanics Theory and Experiment
  • "The relation between Parisi scheme and multi-thermalized dynamics in finite dimensions" (2022) published on arXiv (Cornell University)

Silvio Franz has collaborated frequently with several co-authors. The most common collaborators include Federico Ricci-Tersenghi, Giorgio Parisi, Giampaolo Folena, Flavio Nicoletti, and Mauro Pastore, indicating a research network that involves multiple prominent figures in the field.

Best Publications

  • Recipes for metastable states in spin glasses

    Silvio Franz;Giorgio Parisi

  • Measuring Equilibrium Properties in Aging Systems

    Silvio Franz;Marc Mézard;Giorgio Parisi;Luca Peliti

  • On non-linear susceptibility in supercooled liquids

    Silvio Franz;Giorgio Parisi

  • Theory of non-linear susceptibility and correlation length in glasses and liquids

    Claudio Donati;Silvio Franz;Sharon C. Glotzer;Sharon C. Glotzer;Giorgio Parisi

  • Replica bounds for optimization problems and diluted spin systems

    Silvio Franz;Michele Leone

  • Off-Equilibrium Glassy Dynamics: A Simple Case

    S. Franz;M. Mézard

  • Universal spectrum of normal modes in low-temperature glasses

    Silvio Franz;Giorgio Parisi;Pierfrancesco Urbani;Francesco Zamponi

  • On nonlinear susceptibility in supercooled liquids

    Silvio Franz;Giorgio Parisi

  • Quasi-equilibrium interpretation of ageing dynamics

    S Franz;M A Virasoro

  • The response of glassy systems to random perturbations: A bridge between equilibrium and off-equilibrium

    Silvio Franz;Marc Mézard;Marc Mézard;Giorgio Parisi;Luca Peliti

  • Field theory of fluctuations in glasses

    Silvio Franz;Giorgio Parisi;Federico Ricci-Tersenghi;Tommaso Rizzo

  • Fluctuation-Dissipation Ratio in Three-Dimensional Spin Glasses

    Silvio Franz;Heiko Rieger

  • The simplest model of jamming

    Silvio Franz;Giorgio Parisi

  • Error threshold in simple landscapes

    Silvio Franz;Luca Peliti

  • Critical Phenomena in Natural Sciences: Chaos, Fractals, Selforganization and Disorder: Concepts and Tools

    S Franz

  • EFFECTIVE POTENTIAL IN GLASSY SYSTEMS : THEORY AND SIMULATIONS

    Silvio Franz;Giorgio Parisi

  • On dynamical correlations in supercooled liquids

    Silvio Franz;Claudio Donati;Giorgio Parisi;Sharon C. Glotzer

  • On mean field glassy dynamics out of equilibrium

    Silvio Franz;Marc Mézard

  • Universality of the SAT-UNSAT (jamming) threshold in non-convex continuous constraint satisfaction problems

    Silvio Franz;Giorgio Parisi;Giorgio Parisi;Maxime Sevelev;Pierfrancesco Urbani

  • Exact solutions for diluted spin glasses and optimization problems.

    Silvio Franz;Michele Leone;Michele Leone;Federico Ricci-Tersenghi;Riccardo Zecchina

  • Analytic determination of dynamical and mosaic length scales in a Kac glass model

    Silvio Franz;Silvio Franz;Andrea Montanari;Andrea Montanari

Frequent Co-Authors

Giorgio Parisi
Giorgio Parisi Sapienza University of Rome
Andrea Montanari
Andrea Montanari Stanford University
Ginestra Bianconi
Ginestra Bianconi Queen Mary University of London
Alain Barrat
Alain Barrat Centre de Physique Théorique
Lenka Zdeborová
Lenka Zdeborová École Polytechnique Fédérale de Lausanne
Sharon C. Glotzer
Sharon C. Glotzer University of Michigan–Ann Arbor
Christophe Sola
Christophe Sola University of Paris-Saclay
David Saad
David Saad Aston University
Martin Weigt
Martin Weigt Sorbonne University
Kenneth A. Dawson
Kenneth A. Dawson University College Dublin

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