Geometric and Functional Analysis

Top Research Topics at Geometric and Functional Analysis?

The concepts of Pure mathematics, Mathematical analysis, Combinatorics, Discrete mathematics and Bounded function are tackled in the journal. Topics in Pure mathematics explored in Geometric and Functional Analysis were investigated in conjunction with research in Type (model theory) and Algebra. Curvature, Scalar curvature and Boundary (topology) are some topics wherein Mathematical analysis research discussed in it have an impact.

It is mostly focused on Scalar curvature, specifically Sectional curvature. While work presented in the journal provided substantial information on Combinatorics, it also covered topics in Upper and lower bounds, Group (mathematics) and Regular polygon. Symplectic manifold is a major topic of Symplectic geometry research.

• Pure mathematics (38.55%)
• Mathematical analysis (35.97%)
• Combinatorics (32.42%)

What are the most cited papers published in the journal?

• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations (1648 citations)
• Differentiability of Lipschitz Functions on Metric Measure Spaces (919 citations)
• A new proof of Szemerédi's theorem (604 citations)

Research areas of the most cited articles at Geometric and Functional Analysis:

The primary areas of discussion in the most cited publications are Mathematical analysis, Combinatorics, Pure mathematics, Discrete mathematics and Algebra. The journal articles focus on Mathematical analysis but the discussions also offer insight into other areas such as Curvature and Scalar curvature. The published articles hold forums on Pure mathematics that merge themes from other disciplines such as Type (model theory) and Hyperbolic group.

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

• Mathematical analysis
• Pure mathematics
• Algebra

The previous edition focused in particular on these issues:

The foci of Geometric and Functional Analysis are Combinatorics, Pure mathematics, Conjecture, Riemannian manifold and Space (mathematics). The majority of Combinatorics studies in Geometric and Functional Analysis are focused on the subject of Dimension (graph theory). The journal connects the study in Pure mathematics with the closely related area of Ricci curvature.

Geometric and Functional Analysis addresses concerns in Conjecture which are intertwined with other disciplines, such as Tree (graph theory), Complete graph, Graph and Product (mathematics). Topics in Riemannian manifold were tackled in line with various other fields like Bounded function, Limit (mathematics), Sobolev space, Neumann boundary condition and Cycle basis. While the journal focused on Space (mathematics), it was also able to explore topics like Class (set theory), Fractal, Hyperplane and Diagonal.

The most cited articles from the last journal are:

• An Almost Constant Lower Bound of the Isoperimetric Coefficient in the KLS Conjecture (12 citations)
• A pair correlation problem, and counting lattice points with the zeta function (4 citations)
• Non-displaceable Lagrangian links in four-manifolds (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 Geometric and Functional Analysis (based on the number of publications) are:

• Jean Bourgain (30 papers) absent at the last edition,
• Terence Tao (13 papers) absent at the last edition,
• Jeff Cheeger (10 papers) absent at the last edition,
• Alexander Nabutovsky (9 papers) published 1 paper at the last edition,
• Larry Guth (9 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 Geometric and Functional Analysis (based on the number of publications) are:

• Tel Aviv University (57 papers) absent at the last edition,
• Princeton University (55 papers) published 2 papers at the last edition, 1 more than at the previous edition,
• University of Chicago (43 papers) published 1 paper at the last edition,
• Massachusetts Institute of Technology (43 papers) absent at the last edition,
• University of Toronto (42 papers) published 2 papers at the last edition, 1 more than 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, 0.00% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 33.33% were posted by at least one author from the top 10 institutions publishing in the journal. Another 8.33% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 29.17% of all publications and 29.17% 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.