St. Petersburg Mathematical Journal

Top Research Topics at St Petersburg Mathematical Journal?

The journal was organized to reinforce research efforts on Pure mathematics, Mathematical analysis, Algebra, Discrete mathematics and Combinatorics. Pure mathematics and Type (model theory) are closely related fields of research discussed in the journal. Topics in Mathematical analysis were tackled in line with various other fields like Boundary (topology) and Spectrum (functional analysis).

• Pure mathematics (35.54%)
• Mathematical analysis (31.96%)
• Algebra (13.87%)

What are the most cited papers published in the journal?

• The Riemann-Roch theorem for integrals and sums of quasipolynomials on virtual polytopes (182 citations)
• Second order periodic differential operators. Threshold properties and homogenization (157 citations)
• Non-autonomous functionals, borderline cases and related function classes (156 citations)

Research areas of the most cited articles at St Petersburg Mathematical Journal:

The most cited articles tackle a plethora of topics, such as Mathematical analysis, Pure mathematics, Algebra, Homogenization (chemistry) and Type (model theory). Mathematical analysis study tackled in the journal articles is connected to the field of Nonlinear system. The journal articles facilitate discussions on Pure mathematics that incorporate concepts from other fields like Function (mathematics), Class (set theory) and Commutative ring.

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

• Mathematical analysis
• Quantum mechanics
• Algebra

The previous edition focused in particular on these issues:

St Petersburg Mathematical Journal is mainly concerned with subjects like Mathematical analysis, Pure mathematics, Applied mathematics, Obstacle problem and Space (mathematics). Mathematical analysis study tackled is connected to the field of Cylinder. Studies on Pure mathematics discussed in it link to the field of Convolution.

The studies in Applied mathematics featured incorporate elements of Dirichlet boundary condition, A priori and a posteriori, Inpainting, Mixed norm and Navier–Stokes equations. The presented Obstacle problem research focuses mostly on Extension (predicate logic) and, on occasion, topics in Fractional Laplacian, Zero (complex analysis), Harmonic function, Range (mathematics) and Lipschitz continuity. The journal deals with Space (mathematics) in conjunction with Representation (mathematics) and similar fields in Group (mathematics).

The most cited articles from the last journal are:

• On the invariance of Welschinger invariants (5 citations)
• Asymptotics and estimates for the discrete spectrum of the Schrödinger operator on a discrete periodic graph (5 citations)
• Characterizing compact coincidence sets in the obstacle problem—a short proof (3 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.

Top authors and change over time

The top authors publishing in St Petersburg Mathematical Journal (based on the number of publications) are:

• Tatiana Aleksandrovna Suslina (22 papers) published 1 paper at the last edition,
• Nikolai Vavilov (14 papers) absent at the last edition,
• Serguei A. Nazarov (12 papers) published 1 paper at the last edition the same number as at the previous edition,
• Sergei Buyalo (11 papers) absent at the last edition,
• Alexander I. Nazarov (10 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.

Top affiliations and change over time

Only papers with recognized affiliations are considered

The top affiliations publishing in St Petersburg Mathematical Journal (based on the number of publications) are:

• Saint Petersburg State University (238 papers) published 12 papers at the last edition the same number as at the previous edition,
• Russian Academy of Sciences (176 papers) published 4 papers at the last edition, 1 less than at the previous edition,
• Steklov Mathematical Institute (49 papers) published 2 papers at the last edition, 1 more than at the previous edition,
• Moscow State University (20 papers) absent at the last edition,
• Bashkir State University (15 papers) published 1 paper at the last 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, 15.22% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 56.41% were posted by at least one author from the top 10 institutions publishing in the journal. Another 10.26% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 7.69% of all publications and 25.64% 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.