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Ira Herbst 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 Ira Herbst 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+

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

Ira Herbst 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 Ira Herbst 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+

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

Overview

Ira Herbst is affiliated with the University of Virginia in the United States. Their research primarily lies within the field of Mathematics, with a focus on Mathematical Physics. Their work spans several subfields, including Applied Mathematics, Statistical and Nonlinear Physics, Computational Theory and Mathematics, and Artificial Intelligence.

The scientist's main research topics include Mathematical Dynamics and Fractals, Spectral Theory in Mathematical Physics, semigroups and automata theory, Stochastic processes and statistical mechanics, Bayesian Methods and Mixture Models, Financial Risk and Volatility Modeling, and Quantum chaos and dynamical systems.

Herbst has a number of recent publications, reflecting ongoing contributions to these areas. Recent papers include:

  • How Many Digits are Needed? (2024) in Methodology And Computing In Applied Probability
  • The Asymptotic Distribution of the Scaled Remainder for Pseudo Golden Ratio Expansions of a Continuous Random Variable (2025) in Methodology And Computing In Applied Probability
  • How many digits are needed? (2023) in Research Square (Research Square)
  • Singular Distribution Functions for Random Variables with Stationary Digits (2023) in Methodology And Computing In Applied Probability
  • Characterization of random variables with stationary digits (2022) in Journal of Applied Probability

The publication venues where Herbst frequently publishes include arXiv (Cornell University), Methodology And Computing In Applied Probability, Journal of Applied Probability, Research Square (Research Square), and Nonlinear Analysis.

Herbst collaborates regularly with fellow researchers, among whom frequent coauthors are Jesper Møller, Horia D. Cornean, Anne Marie Svane, Kasper S. Sørensen, and Benjamin B. Støttrup.

Best Publications

  • Schrödinger operators with magnetic fields. I. general interactions

    J. Avron;I. Herbst;B. Simon

  • Spectral theory of the operator $(p^{2}+m^{2})^{1/2}-Ze^{2}/r$

    Ira W. Herbst

  • Schrödinger operators with magnetic fields. III. Atoms in homogeneous magnetic field

    J. E. Avron;I. W. Herbst;B. Simon

  • Spectral and scattering theory of Schrödinger operators related to the Stark effect

    J. E. Avron;J. E. Avron;I. W. Herbst

  • Exponential bounds and absence of positive eigenvalues for $N$-body Schrödinger operators

    Richard Froese;Ira Herbst

  • Dilation analyticity in constant electric field

    Ira W. Herbst

  • A new proof of the Mourre estimate

    Richard Froese;Ira Herbst

  • Perturbation of translation invariant positivity preserving semigroups on

    Ira W. Herbst;Alan D. Sloan

  • Realizing Holonomic Constraints in Classical and Quantum Mechanics

    Richard Froese;Ira Herbst

  • Dilation analyticity in constant electric field. II. $N$-body problem, Borel summability

    Ira W. Herbst;B. Simon

  • Unitary equivalence of stark Hamiltonians

    Ira W. Herbst

  • The stark ladder and other one-dimensional external field problems

    I. W. Herbst;J. S. Howland

  • Strong magnetic fields, Dirichlet boundaries, and spectral gaps

    Rainer Hempel;Ira Herbst

  • On the absence of positive eigenvalues for one-body Schrödinger operators

    Richard Froese;Ira Herbst;Maria Hoffmann-Ostenhof;Thomas Hoffmann-Ostenhof

  • Absence of Ground States for a Class of Translation Invariant Models of Non-relativistic QED

    D. Hasler;I. Herbst

  • Some remarkable examples in eigenvalue perturbation theory

    I.W. Herbst;B. Simon

  • Perturbation of embedded eigenvalues in the generalized N-body problem

    Shmuel Agmon;Shmuel Agmon;Ira Herbst;Erik Skibsted

  • Exponential decay in the Stark effect

    Ira W. Herbst

  • Diffusion equation techniques in stochastic monotonicity and positive correlations

    Ira Herbst;Loren Pitt

  • Ground States in the Spin Boson Model

    David Hasler;Ira Herbst

Frequent Co-Authors

Barry Simon
Barry Simon California Institute of Technology
Jesper Møller
Jesper Møller Aalborg University

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