Journal rankings · indicator year 2020
Choose a field to open its ranking, or a journal to find its row in its subfield’s list.
Subfield ranking · 2020
Mathematical Physics journal rankings 2020
63 ranked journals · Subfield in Mathematics
Mathematical Physics has 63 ranked journals in 2020. The median journal has an OJR of 0.70, below the world average of 1.00, unchanged on 2019; Q1 starts at OJR 0.88. The top three are Acta Mathematica, American Journal of Mathematics, and Memoirs of the American Mathematical Society.
Ranks and citation indicators: 2020. Journal access status and listed APC: source snapshot September 23, 2026.
Journals whose main subfield sits in this category and that published at least 30 citable documents (articles, reviews and conference papers) in 2017–2019, the window the 2020 score is computed on.
The OpenJournalRank Indicator (OJR) is a free, publicly available metric of a journal’s field-normalized citation impact, computed from open OpenAlex citation data. It compares citations to a journal’s papers from the previous three years with the world average for papers of the same subfield, year and type, so 1.00 is the world average and values can be compared across fields. It is computed with the NCI3 method.
The middle OJR among ranked journals in this category: half score higher, half lower. 1.00 is the world average for papers of the same subfield, year and type.
The dot is this category, the solid tick is the median of all ranked journals and the dashed line is the world average.
Share of ranked journals in this category that are fully open access, so every paper is free to read. Hybrid journals, which sell subscriptions and open single papers for a fee, are not counted.
Median list price of the article processing charge, in US dollars, among ranked journals in this category that list a price above zero. Journals with a listed APC of $0 and journals with no known price are left out of this median. The At a glance table below gives a second median that includes the $0 prices.
Subfields of Mathematics (10)
63 ranked journals
Filters
Rank is the position by OJR within the list on screen; 1 is the highest. | OJR is field-normalized 3-year citation impact: 1.00 is the world average for papers of the same subfield, year and type, so values compare across fields. The badge is the journal’s quartile in this list. | Citations per paper over a two-year window, counted from OpenAlex. It is not field-normalized, so compare it only between journals of the same field. ▲ or ▼ is the change from 2019. This is OpenJournalRank’s own count, not Clarivate’s Journal Impact Factor. | Citable documents (articles, reviews and conference papers) published in 2017–2019, the window the 2020 OJR is computed on. A journal needs at least 30 to be ranked. | Share of the journal’s 2017–2019 papers that are free to read in any open-access form. The green OA tag next to a title marks a fully open-access journal. | List price of the article processing charge in US dollars. “$0 listed” means the listed price is zero; a dash means no price is listed. | The line is the journal’s OJR from 2011 to 2020. | Compare |
|---|---|---|---|---|---|---|---|
1Acta MathematicaOAMittag-Leffler Institute · Netherlands | 3.09Q1 | 3.71 0.30 up from 2019 | 33 | 100% | — | ||
2American Journal of MathematicsJohns Hopkins University Press · United States | 1.50Q1 | 1.31 0.14 down from 2019 | 131 | 70% | — | ||
3Memoirs of the American Mathematical SocietyAmerican Mathematical Society · United States | 1.50Q1 | 1.58 0.85 down from 2019 | 101 | 42% | — | ||
4Communications in Mathematical PhysicsSpringer Science+Business Media · Germany | 1.40Q1 | 1.99 0.30 down from 2019 | 795 | 91% | $2,990 | ||
5The Annals of ProbabilityInstitute of Mathematical Statistics · United States | 1.25Q1 | 1.57 0.07 down from 2019 | 294 | 95% | — | ||
6NonlinearityIOP Publishing · United Kingdom | 1.25Q1 | 2.06 0.32 up from 2019 | 594 | 92% | $3,325 | ||
7Annals of K-TheoryMathematical Sciences Publishers · United States | 1.14Q1 | 1.08 0.58 up from 2019 | 53 | 80% | — | ||
8Probability Theory and Related FieldsSpringer Science+Business Media · Germany | 1.13Q1 | 1.46 0.08 down from 2019 | 200 | 79% | $3,090 | ||
9Inverse ProblemsIOP Publishing · United Kingdom | 1.12Q1 | 2.17 0.22 down from 2019 | 563 | 78% | $3,325 | ||
10Representation Theory of the American Mathematical SocietySerbian Mathematical Society · United States | 1.06Q1 | 0.61no change | 42 | 50% | — | ||
11P-Adic Numbers Ultrametric Analysis and ApplicationsPleiades Publishing · Russia | 1.05Q1 | 1.12 0.32 up from 2019 | 79 | 18% | — | ||
12Annales Scientifiques de l École Normale SupérieureSociété Mathématique de France · France | 1.04Q1 | 1.18 0.08 up from 2019 | 117 | 51% | — | ||
13Russian Journal of Mathematical PhysicsPleiades Publishing · Russia | 1.00Q1 | 1.61 0.06 up from 2019 | 145 | 26% | — | ||
14Journal of Dynamics and Differential EquationsSpringer Science+Business Media · Netherlands | 0.93Q1 | 1.23 0.16 down from 2019 | 239 | 55% | $3,090 | ||
15Annales Henri PoincaréBirkhäuser · Switzerland | 0.88Q1 | 1.34 0.03 up from 2019 | 318 | 89% | $3,090 | ||
16Discrete and Continuous Dynamical SystemsOAAmerican Institute of Mathematical Sciences · United States | 0.88Q1 | 1.23 0.07 up from 2019 | 870 | 100% | — | ||
17The Journal of Difference Equations and ApplicationsTaylor & Francis · Switzerland | 0.87Q2 | 1.49 0.32 up from 2019 | 293 | 27% | — | ||
18Tunisian Journal of MathematicsMathematical Sciences Publishers · United States | 0.85Q2 | 0.82 0.41 down from 2019 | 44 | 36% | — | ||
19The Annals of Applied ProbabilityInstitute of Mathematical Statistics · United States | 0.83Q2 | 1.35 0.02 down from 2019 | 299 | 94% | — | ||
20Journal of Inverse and Ill-Posed ProblemsDe Gruyter · Germany | 0.82Q2 | 1.30 0.20 up from 2019 | 156 | 29% | $2,712 | ||
21Reviews in Mathematical PhysicsWorld Scientific · Singapore | 0.81Q2 | 1.30 0.10 down from 2019 | 142 | 80% | — | ||
22Inverse Problems and ImagingAmerican Institute of Mathematical Sciences · United States | 0.79Q2 | 1.63 0.17 up from 2019 | 179 | 47% | — | ||
23Studia MathematicaPolish Academy of Sciences · Poland | 0.79Q2 | 0.76 0.13 up from 2019 | 217 | 59% | — | ||
24Journal of Statistical PhysicsSpringer Science+Business Media · Netherlands | 0.78Q2 | 1.66 0.15 up from 2019 | 720 | 81% | $3,090 | ||
25Bulletin of the Brazilian Mathematical Society New SeriesSpringer Science+Business Media · Brazil | 0.77Q2 | 0.91 0.13 up from 2019 | 162 | 37% | $3,190 | ||
26Mathematical Physics Analysis and GeometrySpringer Science+Business Media · Netherlands | 0.73Q2 | 1.05 0.17 down from 2019 | 86 | 81% | $3,090 | ||
27Quaestiones MathematicaeTaylor & Francis · South Africa | 0.73Q2 | 0.75 0.18 down from 2019 | 408 | 17% | — | ||
28Proceedings of the American Mathematical SocietyAmerican Mathematical Society · United States | 0.73Q2 | 0.66 0.06 down from 2019 | 1,337 | 58% | — | ||
29Annales de l Institut Henri Poincaré Probabilités et StatistiquesInstitute of Mathematical Statistics · France | 0.71Q2 | 1.02 0.08 up from 2019 | 247 | 90% | — | ||
30Indagationes MathematicaeElsevier BV · Netherlands | 0.71Q2 | 0.82 0.14 down from 2019 | 230 | 100% | $2,140 | ||
31Journal of Dynamical and Control SystemsSpringer Science+Business Media · Netherlands | 0.70Q2 | 1.13 0.10 up from 2019 | 111 | 30% | $3,390 | ||
32Journal of Spectral TheoryOAEuropean Mathematical Society | 0.70Q2 | 0.61 0.20 down from 2019 | 140 | 61% | — | ||
33Inverse Problems in Science and EngineeringTaylor & Francis · United Kingdom | 0.70Q3 | 1.46 0.37 up from 2019 | 230 | 60% | — | ||
34PositivityBirkhäuser · Netherlands | 0.68Q3 | 0.74 0.05 down from 2019 | 255 | 34% | $3,090 | ||
35Ergodic Theory and Dynamical SystemsCambridge University Press · United Kingdom | 0.67Q3 | 0.75 0.24 up from 2019 | 417 | 82% | $3,550 | ||
36AstérisqueSociété Mathématique de France · France | 0.64Q3 | 0.70 0.09 up from 2019 | 467 | 22% | — | ||
37Journal of Noncommutative GeometryOAEuropean Mathematical Society | 0.61Q3 | 0.66 0.21 up from 2019 | 131 | 72% | — | ||
38Electronic Journal of ProbabilityOAInstitute of Mathematical Statistics · United States | 0.60Q3 | 0.71 0.30 down from 2019 | 384 | 100% | $675 | ||
39St Petersburg Mathematical JournalSerbian Mathematical Society · United States | 0.60Q3 | 0.58 0.05 down from 2019 | 153 | 43% | — | ||
40Sugaku ExpositionsSerbian Mathematical Society · United States | 0.60Q3 | 0.95 0.15 up from 2019 | 30 | 8% | — | ||
41MATHEMATICA SCANDINAVICAAarhus University Library · Denmark | 0.59Q3 | 0.64 0.18 up from 2019 | 109 | 69% | — | ||
42Monatshefte für MathematikSpringer Science+Business Media · Austria | 0.57Q3 | 0.57 0.14 down from 2019 | 292 | 46% | $3,190 | ||
43Advances in Applied ProbabilityCambridge University Press · United Kingdom | 0.49Q3 | 0.60 0.07 up from 2019 | 193 | 73% | $3,550 | ||
44Infinite Dimensional Analysis Quantum Probability and Related TopicsWorld Scientific · Singapore | 0.48Q3 | 0.78 0.08 up from 2019 | 84 | 43% | — | ||
45Applied Categorical StructuresSpringer Science+Business Media · Netherlands | 0.46Q3 | 0.46 0.20 down from 2019 | 125 | 61% | $3,290 | ||
46Journal of Applied ProbabilityCambridge University Press · United Kingdom | 0.44Q3 | 0.79 0.15 up from 2019 | 249 | 53% | $3,550 | ||
| 0.44Q3 | 0.59 0.25 up from 2019 | 44 | 77% | — | |||
48Dynamical SystemsTaylor & Francis · United Kingdom | 0.43Q3 | 0.62 0.03 up from 2019 | 103 | 39% | — | ||
49Moscow Journal of Combinatorics and Number TheoryMathematical Sciences Publishers · United States | 0.43Q4 | 0.43 0.10 up from 2019 | 31 | 42% | — | ||
50Journal of Operator TheoryRomania | 0.41Q4 | 0.47 0.08 up from 2019 | 121 | 36% | — |
Subfields of Mathematics, with Mathematical Physics highlighted.
- Applied Mathematics182
- Statistics and Probability136
- Geometry and Topology133
- Mathematical Physics63
- Modeling and Simulation38
- Algebra and Number Theory26
- Discrete Mathematics and Combinatorics15
- Numerical Analysis7
- Theoretical Computer Science2
- Computational Mathematics0
Journals
Citations made in 2020. Corpus-wide, 86.1% of core-journal articles and reviews published that year have at least one matched reference; the share varies by journal and field.
17 additional Mathematical Physics journals with metrics are unranked under this release’s eligibility rules: a journal needs at least 30 citable documents in 2017–2019, at least 80% of them with a subfield, and a positive world-average expectation. Ranks are within the whole category; filters hide rows without re-ranking. OJR excludes self-citations.
At a glance
Indicator year: 2020. Publication window: 2017–2019. How these summaries are calculated
- Ranked journals
- 63
- Window papers (baseline)
- 24,450 +5.3% from indicator year 2017
- Median OJR
- 0.70 -2.6% from indicator year 2017
- Rising journals (2025)
- 5
Window papers are the baseline paper population: citable papers (articles, reviews and conference papers) from 2017–2019 in all journals of the world-average baseline, including non-core journals, counted by each paper’s own subfield. They are not the papers of the ranked journals alone.
| Measure | Year series | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | 2020 | 2021 | 2022 | 2023 | 2024 | 2025 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Ranked journals | 44 | 45 | 46 | 47 | 49 | 50 | 48 | 51 | 51 | 52 | 52 | 53 | 56 | 57 | 59 | 60 | 58 | 61 | 60 | 61 | 63 | 65 | 64 | 67 | 66 | 68 | |
| Window papers (baseline) | 13,723 | 14,399 | 14,850 | 15,422 | 15,961 | 16,534 | 17,145 | 17,512 | 18,145 | 19,153 | 19,810 | 20,763 | 21,359 | 21,903 | 22,158 | 22,272 | 22,900 | 23,229 | 23,422 | 23,899 | 24,450 | 25,191 | 25,287 | 25,335 | 24,741 | 25,240 | |
| Median OJR | 1.09 | 0.959 | 0.941 | 1.04 | 1.08 | 1.05 | 1.005 | 1.03 | 0.944 | 0.99 | 0.974 | 0.956 | 0.967 | 0.88 | 0.87 | 0.89 | 0.86 | 0.72 | 0.75 | 0.71 | 0.70 | 0.562 | 0.58 | 0.54 | 0.558 | 0.53 |
How to read these rankings
- OJR, the OpenJournalRank Indicator
- A field-normalized 3-year citation impact, computed from OpenAlex with the NCI3 method. It divides the citations a journal’s papers received by the world average for papers of the same subfield, year and type, so 1.00 is the world average and 2.00 means twice as many citations as expected. Because it is normalized, it can be compared across fields. Read the methodology
- Quartiles
- Q1 to Q4 split the ranked journals of the list you are viewing into four equal groups by OJR. A journal’s quartile depends on the list: the same journal can be Q1 in its subfield and Q2 among all journals.
- Impact factor (2-year)
- Citations per paper over a two-year window, counted from OpenAlex. It is easy to compare with familiar impact factors but is not field-normalized, so compare it only within a field. It is not Clarivate’s Journal Impact Factor. Why it differs from the Journal Impact Factor
- Rank ranges
- Each rank in the latest year carries a likely range from 1,000 resamples of the journal’s papers. Where two journals’ ranges overlap, the data cannot tell them apart, so treat neighbouring ranks as ties.