World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
38
Citations
7073
World Ranking
2315
National Ranking
2

Thomas H. Seligman 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 Thomas H. Seligman 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: 203 publications — 63rd percentile

63% of scientists in this discipline score the same or lower.

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

Thomas H. Seligman 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 Thomas H. Seligman 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: 38 D-Index — 37th percentile

37% of scientists in this discipline score the same or lower.

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

Overview

Thomas H. Seligman is affiliated with the National Autonomous University of Mexico in Mexico. Their research spans across the interdisciplinary fields of Physics and Astronomy as well as Economics, Econometrics, and Finance. This combination highlights a focus on complex systems where physical and financial phenomena intersect.

Their main subfields of study include Economics and Econometrics, Statistical and Nonlinear Physics, Electrical and Electronic Engineering, Atomic and Molecular Physics and Optics, and Physical and Theoretical Chemistry. The breadth of these areas indicates a strong emphasis on both theoretical frameworks and applied methodologies in complex system analysis.

The principal research themes in Seligman's work are:

  • Complex Systems and Time Series Analysis
  • Statistical Mechanics and Entropy
  • Molecular Junctions and Nanostructures
  • Financial Risk and Volatility Modeling
  • Molecular spectroscopy and chirality
  • Photochemistry and Electron Transfer Studies
  • Time Series Analysis and Forecasting

The scientist has contributed multiple papers to prominent academic venues, including arXiv (Cornell University), Physica A Statistical Mechanics and its Applications, PLoS ONE, SSRN Electronic Journal, and Physical Review B. These publications cover a range of experimental and theoretical topics intersecting physics and financial dynamics.

Recent papers authored or coauthored by Thomas H. Seligman provide insight into their research focus:

  • "Current vortices in aromatic carbon molecules" (2020, Physical Review B)
  • "Emerging spectra characterization of catastrophic instabilities in complex systems" (2020, New Journal of Physics)
  • "Dynamics of market states and risk assessment" (2023, Physica A Statistical Mechanics and its Applications)
  • "Photonic realization of the κ-deformed Dirac equation" (2021, Physical Review A)
  • "An empirical data analysis of 'price runs' in daily financial indices: Dynamically assessing market geometric distributional behavior" (2022, PLoS ONE)

Collaborations have been an important part of Seligman's research activities. Frequent coauthors include:

  • Hirdesh K. Pharasi
  • Parisa Majari
  • Suchetana Sadhukhan
  • E. Sadurní
  • Anirban Chakraborti

The scientist has a multidisciplinary profile, linking advanced concepts of statistical mechanics and nonlinear physics to applications in finance and nanostructure studies. Their contributions cover both fundamental theoretical advances and empirical analyses relevant to market behavior and molecular physics.

Best Publications

  • Dynamics of Loschmidt echoes and fidelity decay

    Thomas Gorin;Tomaž Prosen;Thomas H. Seligman;Marko Žnidarič

  • Dynamics of Loschmidt echoes and fidelity decay

    Thomas Gorin;Tomaz Prosen;Thomas H. Seligman;Marko Znidaric

  • Transition from localized to extended eigenstates in the ensemble of power-law random banded matrices

    Alexander D. Mirlin;Yan V. Fyodorov;Frank-Michael Dittes;Javier Quezada

  • Quantum spectra and transition from regular to chaotic classical motion

    T. H. Seligman;J. J. M. Verbaarschot;M. R. Zirnbauer

  • Identifying States of a Financial Market

    Michael C. Münnix;Michael C. Münnix;Takashi Shimada;Takashi Shimada;Rudi Schäfer;Francois Leyvraz

  • Information theory and statistical nuclear reactions. I. General theory and applications to few-channel problems

    Pier A Mello;Pedro Pereyra;Thomas H Seligman

  • Quantum Chaos and Statistical Nuclear Physics

    T. H. Seligman;H. Nishioka

  • Group theory and second quantization for nonorthogonal orbitals

    M. Moshinsky;T.H. Seligman

  • Spectral fluctuation properties of Hamiltonian systems: the transition region between order and chaos

    T H Seligman;J J M Verbaarschot;M R Zirnbauer

  • Quantization over boson operator spaces

    Tomaž Prosen;Tomaž Prosen;Thomas H Seligman

  • The mixing distance

    Ernst Ruch;Rudolf Schranner;Thomas H. Seligman

  • A random matrix formulation of fidelity decay

    T Gorin;T Prosen;T H Seligman

  • Canonical Transformations and the Radial Oscillator and Coulomb Problems

    M. Moshinsky;T. H. Seligman;K. B. Wolf

  • Spectroscopic amplitudes for complex cluster systems

    K.T. Hecht;E.J. Reske;T.H. Seligman;W. Zahn

  • Theory of Quantum Loschmidt Echoes

    Tomaž Prosen;Thomas H. Seligman;Marko Žnidarič

  • Universal and nonuniversal statistical properties of levels and intensities for chaotic Rydberg molecules

    M. Lombardi;T.H. Seligman

  • Spectral statistics of the two-body random ensemble revisited.

    J. Flores;M. Horoi;M. Müller;T. H. Seligman

  • Studies in the nuclear cluster model: (II). Two-cluster configurations

    P. Kramer;T.H. Seligman

  • Complex Extensions of Canonical Transformations and Quantum Mechanics

    P. Kramer;M. Moshinsky;T.H. Seligman

  • Identifying long-term precursors of financial market crashes using correlation patterns

    Hirdesh K Pharasi;Kiran Sharma;Rakesh Chatterjee;Rakesh Chatterjee;Anirban Chakraborti

  • On the entropy approach to statistical nuclear reactions

    P.A. Mello;T.H. Seligman

Frequent Co-Authors

Wolfgang P. Schleich
Wolfgang P. Schleich University of Ulm
Douglas J. Klein
Douglas J. Klein Texas A&M University at Galveston
Thomas Guhr
Thomas Guhr University of Duisburg-Essen
Achim Richter
Achim Richter Technical University of Darmstadt
Jorge Flores
Jorge Flores Program for Appropriate Technology in Health
H. Eugene Stanley
H. Eugene Stanley Boston University
Richard L. Weaver
Richard L. Weaver University of Illinois at Urbana-Champaign
Yan V. Fyodorov
Yan V. Fyodorov King's College London

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