World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
33
Citations
4508
World Ranking
3050
National Ranking
186

Peter Buchholz 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 Peter Buchholz 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: 167 publications — 47th percentile

47% of scientists in this discipline score the same or lower.

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

Peter Buchholz 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 Peter Buchholz 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: 33 D-Index — 17th percentile

17% of scientists in this discipline score the same or lower.

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

Overview

Peter Buchholz is affiliated with TU Dortmund University in Germany. Their research spans multiple fields, primarily focusing on Engineering, Computer Science, and Physics and Astronomy. The scientist's work is concentrated in subfields such as Management Information Systems, Management Science and Operations Research, Industrial and Manufacturing Engineering, Nuclear and High Energy Physics, and Computational Theory and Mathematics.

Their main research topics cover a range of advanced methodologies and applications, including:

  • Advanced Queuing Theory Analysis
  • Simulation Techniques and Applications
  • Scheduling and Optimization Algorithms
  • Petri Nets in System Modeling
  • Transportation Planning and Optimization
  • Probability and Risk Models
  • Astrophysics and Cosmic Phenomena

Peter Buchholz has contributed to several recent papers reflecting diverse research interests. Notable publications include:

  • "Reconstruction of events recorded with the surface detector of the Pierre Auger Observatory," 2020, published in Repository KITopen (Karlsruhe Institute of Technology)
  • "Breakthrough technologies and innovations along the mineral raw materials supply chain - towards a sustainable and secure supply," 2022, published in Mineral Economics
  • "Scheduling Algorithms for a Hybrid Flow Shop under Uncertainty," 2020, published in Algorithms
  • "Search for Ultra-high-energy Photons from Gravitational Wave Sources with the Pierre Auger Observatory," 2023, published in The Astrophysical Journal
  • "The XY Scanner - A Versatile Method of the Absolute End-to-End Calibration of Fluorescence Detectors," 2021, published in Proceedings of 37th International Cosmic Ray Conference - PoS(ICRC2021)

The scientist frequently collaborates with a group of peers who contribute to overlapping areas of study. Regular co-authors include:

  • Miklós Telek
  • M. Aglietta
  • I. Allekotte
  • Jaime Álvarez-Muñiz
  • Gioacchino Alex Anastasi

Publication venues that regularly feature the scientist's work include Repository KITopen (Karlsruhe Institute of Technology), Mineral Economics, Algorithms, The Astrophysical Journal, and Proceedings of 37th International Cosmic Ray Conference - PoS(ICRC2021).

Best Publications

  • Exact and ordinary lumpability in finite Markov chains

    Peter Buchholz

  • A Novel Approach for Phase-Type Fitting with the EM Algorithm

    A. Thummler;P. Buchholz;M. Telek

  • Complexity of Memory-Efficient Kronecker Operations with Applications to the Solution of Markov Models

    Peter Buchholz;Gianfranco Ciardo;Susanna Donatelli;Peter Kemper

  • Input Modeling with Phase-Type Distributions and Markov Models: Theory and Applications

    Peter Buchholz;Jan Kriege;Iryna Felko

  • Input Modeling with Phase-Type Distributions and Markov Models

    Peter Buchholz;Jan Kriege;Iryna Felko

  • Hierarchical Markovian models: symmetries and reduction

    Peter Buchholz

  • Bisimulation relations for weighted automata

    Peter Buchholz

  • Hierarchical structuring of superposed GSPNs

    P. Buchholz

  • Structured analysis approaches for large Markov chains

    Peter Buchholz

  • A MAP fitting approach with independent approximation of the inter-arrival time distribution and the lag correlation

    G. Horvath;P. Buchholz;M. Telek

  • An EM-Algorithm for MAP Fitting from Real Traffic Data

    Peter Buchholz

  • A class of hierarchical queueing networks and their analysis

    Peter Buchholz

  • Multi-class Markovian arrival processes and their parameter fitting

    Peter Buchholz;Peter Kemper;Jan Kriege

  • Model-checking large structured Markov chains

    Peter Buchholz;Joost-Pieter Katoen;Peter Kemper;Carsten Tepper

  • A novel approach for fitting probability distributions to real trace data with the EM algorithm

    A. Thummler;P. Buchholz;M. Telek

  • Kronecker Based Matrix Representations for Large Markov Models

    Peter Buchholz;Peter Kemper

  • QPN-Tool for the Specification ans Analysis of Hierarchically Combined Queueing Petri Nets

    Falko Bause;Peter Buchholz;Peter Kemper

  • Equivalence Relations for Stochastic Automata Networks

    Peter Buchholz

  • Analytical analysis of access-schemes of the CSMA type

    P. Buchholz;J. Plonnigs

  • Exact performance equivalence: an equivalence relation for stochastic automata

    Peter Buchholz

Frequent Co-Authors

William H. Sanders
William H. Sanders Carnegie Mellon University
Holger Hermanns
Holger Hermanns Saarland University
Gianfranco Ciardo
Gianfranco Ciardo Iowa State University
Joost-Pieter Katoen
Joost-Pieter Katoen RWTH Aachen University
Reinhard German
Reinhard German University of Erlangen-Nuremberg
Mark S. Squillante
Mark S. Squillante IBM (United States)

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