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Probability Theory and Related Fields
H-index 20

Probability Theory and Related Fields

0178-8051

Published by: Springer

https://www.springer.com/journal/440

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 80 90 109 19

Additional Metrics

Number of Best Scientists*: 97
Documents by Best Scientists*: 117
Top 100 Ranked Scientists*: 4
SCIMAGO H-index: 94
SCIMAGO SJR: 2.631
Impact Factor: 1.6

Overview

Top Research Topics at Probability Theory and Related Fields?

The journal covers a variety of subjects, including Mathematical finance, Mathematical analysis, Combinatorics, Discrete mathematics and Probability theory. Probability Theory and Related Fields facilitates the exploration of Mathematical finance in relation to the fields of Applied mathematics, Pure mathematics, Calculus, Mathematical economics and Mathematical optimization. Probability Theory and Related Fields holds forums on Mathematical analysis that merges themes from other disciplines such as Martingale (probability theory), Diffusion process and Brownian motion.

Topics in Combinatorics were tackled in line with various other fields like Random variable, Distribution (mathematics), Central limit theorem, Markov chain and Random walk. Markov renewal process and Markov model are all areas of Markov chain tackled in it. The featured Markov renewal process study falls within the wider topic of Markov property.

Probability Theory and Related Fields is concerned with the study of Markov property and Markov process in general. The journal focuses on Discrete mathematics research which is adjacent to topics in Convergence of random variables. Probability theory and Stochastic process are closely related fields of research discussed in the journal.

  • Mathematical finance (35.09%)
  • Mathematical analysis (30.12%)
  • Combinatorics (29.54%)

What are the most cited papers published in the journal?

  • On the foundations of combinatorial theory I. Theory of Möbius Functions (1273 citations)
  • An Approximation of Partial Sums of Independent RV'-s, and the Sample DF. I (1004 citations)
  • On the histogram as a density estimator:L 2 theory (912 citations)

Research areas of the most cited articles at Probability Theory and Related Fields:

The most cited publications mainly deal with areas of study such as Mathematical analysis, Combinatorics, Mathematical finance, Probability theory and Discrete mathematics. While work presented in the most cited articles provide substantial information on Mathematical analysis, it also covers topics in Pure mathematics and Brownian motion. While Combinatorics is the focus of the most cited papers, it also provides insights into the studies of Random variable, Distribution (mathematics), Central limit theorem, Limit (mathematics) and Random walk.

What topics the last edition of the journal is best known for?

  • Mathematical analysis
  • Statistics
  • Normal distribution

The previous edition focused in particular on these issues:

Combinatorics, Mathematical finance, Random walk, Limit (mathematics) and Mathematical analysis are among the topics commonly tackled in Probability Theory and Related Fields. While Combinatorics is the focus of it, it also provided insights into the studies of Sequence and Random variable. The journal explores issues in Random walk which can be linked to other research areas like Conductance, Group (mathematics), Degenerate energy levels and Ergodic theory.

While Probability Theory and Related Fields focused on Limit (mathematics), it was also able to explore topics like Discrete mathematics, Poisson distribution, Measure (mathematics), Applied mathematics and Nonlinear system. Concepts in Boundary (topology), as well as related topics in Boundary value problem and Ising model, are covered in the Mathematical analysis research presented in the journal. The concepts on Brownian motion presented in Probability Theory and Related Fields can also apply to other research fields, including Martingale (probability theory), Markov process, Multiplicative function, Interpretation (model theory) and Coupling (probability).

The most cited articles from the last journal are:

  • Liouville quantum gravity and the Brownian map III: the conformal structure is determined (21 citations)
  • High mode transport noise improves vorticity blow-up control in 3D Navier–Stokes equations (12 citations)
  • Mixing time of the Chung–Diaconis–Graham random process (10 citations)

Papers citation over time

A key indicator for each journal is its effectiveness in reaching other researchers with the papers published at that venue.

The chart below presents the interquartile range (first quartile 25%, median 50% and third quartile 75%) of the number of citations of articles over time.

The top authors publishing in Probability Theory and Related Fields (based on the number of publications) are:

  • Yuval Peres (25 papers) published 1 paper at the last edition, 1 less than at the previous edition,
  • David Nualart (24 papers) absent at the last edition,
  • Peter Hall (23 papers) absent at the last edition,
  • Olav Kallenberg (23 papers) absent at the last edition,
  • Richard F. Bass (22 papers) absent at the last edition.

The overall trend for top authors publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top authors.

Only papers with recognized affiliations are considered

The top affiliations publishing in Probability Theory and Related Fields (based on the number of publications) are:

  • University of Paris (230 papers) published 2 papers at the last edition, 4 less than at the previous edition,
  • University of California, Berkeley (132 papers) published 2 papers at the last edition the same number as at the previous edition,
  • University of Cambridge (82 papers) published 7 papers at the last edition, 2 less than at the previous edition,
  • University of Washington (82 papers) published 1 paper at the last edition, 1 less than at the previous edition,
  • University of Minnesota (79 papers) published 1 paper at the last edition the same number as at the previous edition.

The overall trend for top affiliations publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top affiliations.

Publication chance based on affiliation

The publication chance index shows the ratio of articles published by the best research institutions in the journal edition to all articles published within that journal. The best research institutions were selected based on the largest number of articles published during all editions of the journal.

The chart below presents the percentage ratio of articles from top institutions (based on their ranking of total papers).Top affiliations were grouped by their rank into the following tiers: top 1-10, top 11-20, top 21-50, and top 51+. Only articles with a recognized affiliation are considered.

During the most recent 2021 edition, 4.88% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 19.23% were posted by at least one author from the top 10 institutions publishing in the journal. Another 14.10% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 23.08% of all publications and 43.59% were from other institutions.

Returning Authors Index

A very common phenomenon observed among researchers publishing scientific articles is the intentional selection of journals they have already attended in the past. In particular, it is worth analyzing the case when the authors participate in the same journal from year to year.

The Returning Authors Index presented below illustrates the ratio of authors who participated in both a given as well as the previous edition of the journal in relation to all participants in a given year.

Returning Institution Index

The graph below shows the Returning Institution Index, illustrating the ratio of institutions that participated in both a given and the previous edition of the conference in relation to all affiliations present in a given year.

The experience to innovation index

Our experience to innovation index was created to show a cross-section of the experience level of authors publishing in a journal. The index includes the authors publishing at the last edition of a journal, grouped by total number of publications throughout their academic career (P) and the total number of citations of these publications ever received (C).

The group intervals were selected empirically to best show the diversity of the authors' experiences, their labels were selected as a convenience, not as judgment. The authors were divided into the following groups:

  • Novice - P < 5 or C < 25 (the number of publications less than 5 or the number of citations less than 25),
  • Competent - P < 10 or C < 100 (the number of publications less than 10 or the number of citations less than 100),
  • Experienced - P < 25 or C < 625 (the number of publications less than 25 or the number of citations less than 625),
  • Master - P < 50 or C < 2500 (the number of publications less than 50 or the number of citations less than 2500),
  • Star - P ≥ 50 and C ≥ 2500 (both the number of publications greater than 50 and the number of citations greater than 2500).

The chart below illustrates experience levels of first authors in cases of publications with multiple authors.

Top Publications

  • High mode transport noise improves vorticity blow-up control in 3D Navier–Stokes equations

    Franco Flandoli;Dejun Luo

    (2021)
    155 Citations
  • Liouville quantum gravity and the Brownian map III: the conformal structure is determined

    Jason Miller;Scott Sheffield

    (2021)
    140 Citations
  • The infinitesimal generator of the stochastic Burgers equation

    Massimiliano Gubinelli;Nicolas Perkowski

    (2020)
    45 Citations
  • Fluctuations of the solutions to the KPZ equation in dimensions three and higher

    Alexander Dunlap;Yu Gu;Lenya Ryzhik;Ofer Zeitouni;Ofer Zeitouni

    (2020)
    43 Citations
  • Exact matching of random graphs with constant correlation

    (2021)
    40 Citations
  • A spectral condition for spectral gap: fast mixing in high-temperature Ising models

    Ronen Eldan;Frederic Koehler;Ofer Zeitouni

    (2021)
    35 Citations
  • Edge universality for non-Hermitian random matrices

    (2020)
    34 Citations
  • The number of solutions for random regular NAE-SAT

    Allan Sly;Nike Sun;Yumeng Zhang

    (2021)
    33 Citations
  • The functional Breuer–Major theorem

    Ivan Nourdin;David Nualart

    (2020)
    30 Citations
  • The overlap gap property in principal submatrix recovery

    David Gamarnik;Aukosh Jagannath;Subhabrata Sen

    (2021)
    29 Citations

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