Journal rankings · indicator year 2021
Choose a field to open its ranking, or a journal to find its row in its subfield’s list.
Subfield ranking · 2021
Mathematical Physics journal rankings 2021
65 ranked journals · Subfield in Mathematics
Mathematical Physics has 65 ranked journals in 2021. The median OJR fell 0.14 on 2020 to 0.56, below the world average of 1.00; Q1 starts at OJR 0.75. The top three are Acta Mathematica, Annales Scientifiques de l École Normale Supérieure, and American Journal of Mathematics.
Ranks and citation indicators: 2021. 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 2018–2020, the window the 2021 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)
65 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 2020. This is OpenJournalRank’s own count, not Clarivate’s Journal Impact Factor. | Citable documents (articles, reviews and conference papers) published in 2018–2020, the window the 2021 OJR is computed on. A journal needs at least 30 to be ranked. | Share of the journal’s 2018–2020 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 2012 to 2021. | Compare |
|---|---|---|---|---|---|---|---|
1Acta MathematicaOAMittag-Leffler Institute · Netherlands | 2.38Q1 | 1.25 2.46 down from 2020 | 32 | 100% | — | ||
2Annales Scientifiques de l École Normale SupérieureSociété Mathématique de France · France | 1.59Q1 | 1.43 0.25 up from 2020 | 112 | 57% | — | ||
3American Journal of MathematicsJohns Hopkins University Press · United States | 1.48Q1 | 1.47 0.16 up from 2020 | 141 | 63% | — | ||
4Cambridge Journal of MathematicsInternational Press of Boston · United States | 1.46Q1 | 1.27 0.27 up from 2020 | 31 | 33% | — | ||
5Communications in Mathematical PhysicsSpringer Science+Business Media · Germany | 1.29Q1 | 2.12 0.13 up from 2020 | 815 | 91% | $2,990 | ||
6Memoirs of the American Mathematical SocietyAmerican Mathematical Society · United States | 1.10Q1 | 1.45 0.12 down from 2020 | 97 | 59% | — | ||
7Inverse ProblemsIOP Publishing · United Kingdom | 1.09Q1 | 2.45 0.28 up from 2020 | 585 | 75% | $3,325 | ||
8The Annals of ProbabilityInstitute of Mathematical Statistics · United States | 1.04Q1 | 1.41 0.17 down from 2020 | 270 | 92% | — | ||
9NonlinearityIOP Publishing · United Kingdom | 1.00Q1 | 1.78 0.28 down from 2020 | 648 | 88% | $3,325 | ||
10Tunisian Journal of MathematicsMathematical Sciences Publishers · United States | 0.93Q1 | 1.03 0.21 up from 2020 | 55 | 64% | — | ||
11Pure and Applied AnalysisMathematical Sciences Publishers · United States | 0.92Q1 | 1.44 0.39 down from 2020 | 44 | 74% | — | ||
12Probability Theory and Related FieldsSpringer Science+Business Media · Germany | 0.86Q1 | 1.25 0.21 down from 2020 | 188 | 84% | $3,090 | ||
13Annals of K-TheoryMathematical Sciences Publishers · United States | 0.85Q1 | 0.80 0.28 down from 2020 | 64 | 67% | — | ||
14Bulletin of the Brazilian Mathematical Society New SeriesSpringer Science+Business Media · Brazil | 0.85Q1 | 0.89 0.02 down from 2020 | 164 | 42% | $3,190 | ||
15Russian Journal of Mathematical PhysicsPleiades Publishing · Russia | 0.80Q1 | 1.77 0.16 up from 2020 | 147 | 15% | — | ||
16Annales Henri PoincaréBirkhäuser · Switzerland | 0.77Q1 | 1.34 0.01 down from 2020 | 319 | 90% | $3,090 | ||
17Journal of Statistical PhysicsSpringer Science+Business Media · Netherlands | 0.75Q1 | 1.76 0.10 up from 2020 | 679 | 81% | $3,090 | ||
18Dissertationes MathematicaePolish Academy of Sciences · Poland | 0.74Q2 | 0.86 0.49 up from 2020 | 30 | 38% | — | ||
19Reviews in Mathematical PhysicsWorld Scientific · Singapore | 0.72Q2 | 1.15 0.15 down from 2020 | 143 | 81% | — | ||
20Discrete and Continuous Dynamical SystemsOAAmerican Institute of Mathematical Sciences · United States | 0.72Q2 | 1.12 0.11 down from 2020 | 928 | 100% | — | ||
21The Annals of Applied ProbabilityInstitute of Mathematical Statistics · United States | 0.72Q2 | 1.31 0.04 down from 2020 | 282 | 87% | — | ||
22P-Adic Numbers Ultrametric Analysis and ApplicationsPleiades Publishing · Russia | 0.71Q2 | 0.75 0.36 down from 2020 | 80 | 25% | — | ||
23The Journal of Difference Equations and ApplicationsTaylor & Francis · Switzerland | 0.70Q2 | 1.18 0.31 down from 2020 | 250 | 15% | — | ||
24Journal of Dynamics and Differential EquationsSpringer Science+Business Media · Netherlands | 0.69Q2 | 1.24 0.01 up from 2020 | 268 | 45% | $3,090 | ||
25Quaestiones MathematicaeTaylor & Francis · South Africa | 0.66Q2 | 0.77 0.01 up from 2020 | 383 | 22% | — | ||
26Journal of Dynamical and Control SystemsSpringer Science+Business Media · Netherlands | 0.63Q2 | 0.85 0.28 down from 2020 | 126 | 28% | $3,390 | ||
27PositivityBirkhäuser · Netherlands | 0.63Q2 | 0.89 0.15 up from 2020 | 240 | 33% | $3,090 | ||
28Mathematical Physics Analysis and GeometrySpringer Science+Business Media · Netherlands | 0.62Q2 | 0.93 0.12 down from 2020 | 108 | 77% | $3,090 | ||
29St Petersburg Mathematical JournalSerbian Mathematical Society · United States | 0.60Q2 | 0.93 0.35 up from 2020 | 145 | 28% | — | ||
30Proceedings of the American Mathematical SocietyAmerican Mathematical Society · United States | 0.58Q2 | 0.62 0.04 down from 2020 | 1,380 | 41% | — | ||
31Journal of Operator TheoryRomania | 0.57Q2 | 0.78 0.32 up from 2020 | 107 | 39% | — | ||
32Journal of Noncommutative GeometryOAEuropean Mathematical Society | 0.57Q2 | 0.55 0.11 down from 2020 | 122 | 100% | — | ||
33Journal of Applied ProbabilityCambridge University Press · United Kingdom | 0.56Q2 | 0.93 0.14 up from 2020 | 240 | 63% | $3,550 | ||
34Journal of Inverse and Ill-Posed ProblemsDe Gruyter · Germany | 0.56Q3 | 1.14 0.16 down from 2020 | 204 | 33% | $2,712 | ||
35Indagationes MathematicaeElsevier BV · Netherlands | 0.56Q3 | 0.49 0.32 down from 2020 | 219 | 86% | $2,140 | ||
36Inverse Problems in Science and EngineeringTaylor & Francis · United Kingdom | 0.56Q3 | 1.38 0.09 down from 2020 | 247 | 59% | — | ||
37Electronic Journal of ProbabilityOAInstitute of Mathematical Statistics · United States | 0.54Q3 | 0.77 0.06 up from 2020 | 441 | 100% | $675 | ||
38AstérisqueSociété Mathématique de France · France | 0.54Q3 | 0.47 0.23 down from 2020 | 534 | 80% | — | ||
39Glasnik MatematickiUniversity of Zagreb · Croatia | 0.53Q3 | 0.53 0.02 up from 2020 | 72 | 52% | — | ||
40Inverse Problems and ImagingAmerican Institute of Mathematical Sciences · United States | 0.53Q3 | 1.11 0.53 down from 2020 | 202 | 30% | — | ||
41Annales de l Institut Henri Poincaré Probabilités et StatistiquesInstitute of Mathematical Statistics · France | 0.53Q3 | 0.83 0.19 down from 2020 | 273 | 93% | — | ||
42Studia MathematicaPolish Academy of Sciences · Poland | 0.52Q3 | 0.47 0.29 down from 2020 | 223 | 65% | — | ||
43Representation Theory of the American Mathematical SocietySerbian Mathematical Society · United States | 0.50Q3 | 0.29 0.31 down from 2020 | 43 | 50% | — | ||
44Applied Categorical StructuresSpringer Science+Business Media · Netherlands | 0.50Q3 | 0.55 0.09 up from 2020 | 121 | 63% | $3,290 | ||
45Journal of Spectral TheoryOAEuropean Mathematical Society | 0.48Q3 | 0.49 0.12 down from 2020 | 145 | 100% | — | ||
46Monatshefte für MathematikSpringer Science+Business Media · Austria | 0.47Q3 | 0.70 0.13 up from 2020 | 288 | 47% | $3,190 | ||
47Infinite Dimensional Analysis Quantum Probability and Related TopicsWorld Scientific · Singapore | 0.46Q3 | 0.84 0.07 up from 2020 | 87 | 20% | — | ||
48Annales Henri LebesgueOACellule MathDoc/CEDRAM · France | 0.46Q3 | 0.73 0.03 up from 2020 | 64 | 100% | — | ||
49Ergodic Theory and Dynamical SystemsCambridge University Press · United Kingdom | 0.46Q3 | 0.67 0.08 down from 2020 | 399 | 76% | $3,550 | ||
50Advances in Applied ProbabilityCambridge University Press · United Kingdom | 0.42Q4 | 0.88 0.28 up from 2020 | 185 | 67% | $3,550 |
Subfields of Mathematics, with Mathematical Physics highlighted.
- Applied Mathematics180
- Statistics and Probability136
- Geometry and Topology132
- Mathematical Physics65
- Modeling and Simulation36
- Algebra and Number Theory26
- Discrete Mathematics and Combinatorics15
- Numerical Analysis8
- Theoretical Computer Science2
- Computational Mathematics0
Journals
Citations made in 2021. Corpus-wide, 87.7% of core-journal articles and reviews published that year have at least one matched reference; the share varies by journal and field.
15 additional Mathematical Physics journals with metrics are unranked under this release’s eligibility rules: a journal needs at least 30 citable documents in 2018–2020, 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: 2021. Publication window: 2018–2020. How these summaries are calculated
- Ranked journals
- 65
- Window papers (baseline)
- 25,191 +7.6% from indicator year 2018
- Median OJR
- 0.562 -25.2% from indicator year 2018
- Rising journals (2025)
- 5
Window papers are the baseline paper population: citable papers (articles, reviews and conference papers) from 2018–2020 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.