Analysis and Geometry in Metric Spaces
Scope & Guideline
Unveiling new perspectives in metric space research.
Introduction
Aims and Scopes
- Metric Geometry:
The journal emphasizes the study of geometric properties and structures arising in metric spaces, including concepts such as curvature, geodesics, and dimensionality. - Functional Analysis:
It covers the application of functional analysis techniques to problems in metric spaces, exploring topics such as Sobolev spaces and Lipschitz continuity. - Partial Differential Equations (PDEs):
The journal addresses the analysis of PDEs within metric spaces, focusing on Liouville theorems and qualitative properties of solutions. - Measure Theory and Integration:
Research on measure-theoretic aspects in metric spaces, including rectifiability and properties of measures, is a key focus area. - Variational Methods and Optimization:
The journal investigates variational problems and optimization techniques in the context of metric spaces, including minimization problems and monotone inclusions. - Geometric Analysis:
It integrates geometric methods with analytical techniques, particularly in the study of Riemannian and Finsler manifolds.
Trending and Emerging
- Anisotropic and Non-Homogeneous Spaces:
There is a growing interest in the analysis of anisotropic spaces and non-homogeneous structures, which reflects a broader trend towards understanding complex geometric configurations. - Geometric Analysis of Heat Kernels:
Research on heat kernels, particularly in relation to various geometric structures, has gained prominence, indicating an increasing focus on the interplay between analysis and geometry. - Sobolev Spaces and Regularity Theory:
The exploration of Sobolev spaces in metric contexts, particularly with respect to regularity and geometric properties, is becoming a significant theme. - Metric Measure Spaces and Curvature Bounds:
There is a notable trend towards studying metric measure spaces with curvature conditions, which has implications for both geometric analysis and PDEs. - Applications of Gromov-Hausdorff Convergence:
The application of Gromov-Hausdorff convergence in various mathematical problems is increasingly popular, highlighting its importance in understanding the structure of metric spaces.
Declining or Waning
- Classical Differential Geometry:
While still relevant, traditional topics in differential geometry are less frequently represented in recent issues, indicating a shift towards more modern approaches and applications in metric spaces. - Static Analysis Techniques:
Older techniques in static analysis that do not incorporate metric space methodologies are appearing less often, as the focus has shifted towards dynamic and more complex analyses. - Low-Dimensional Topology:
Research specifically targeting low-dimensional topology seems to be declining, with fewer papers addressing these aspects in the context of metric spaces.
Similar Journals
Georgian Mathematical Journal
Advancing mathematical frontiers with rigorous research.Georgian Mathematical Journal, published by Walter de Gruyter GmbH, is a prestigious academic journal dedicated to the field of mathematics, particularly in its multifaceted applications and theoretical explorations. With an ISSN of 1072-947X and an E-ISSN of 1572-9176, this journal is indexed within notable databases and holds a strong position as evidenced by its Q2 ranking in the Mathematics (miscellaneous) category as of 2023 and a ranking of #140 out of 399 in the general mathematics Scopus category, placing it in the 65th percentile for research visibility. Since its inception in 1994, the journal has continued to evolve, aiming to foster innovative research and scholarly communication among mathematicians worldwide. Although it does not offer Open Access, the journal’s commitment to quality and rigor ensures that published works are of high relevance, appealing to researchers, educators, and students who are dedicated to advancing mathematical knowledge across diverse domains.
Applied General Topology
Advancing the Frontiers of Topological ResearchApplied General Topology, an esteemed journal published by Universitat Politècnica de València - Editorial UPV, serves as a vital platform for researchers and practitioners in the field of topology and its applications. With an ISSN of 1989-4147 and an E-ISSN of 1989-4147, this open-access journal has been making its content freely available since 2003, thereby promoting widespread dissemination of knowledge and fostering collaboration within the mathematical community. Based in Valencia, Spain, this journal has achieved a commendable Q3 category ranking in Geometry and Topology for 2023, as well as a rank of 56/106 in the Scopus Mathematics category, placing it in the 47th percentile. Researchers and students alike benefit from its rich content and focus on both theoretical and applied aspects of general topology, making it an essential resource for advancing the understanding of geometric concepts. With coverage spanning from 2007 to 2024, Applied General Topology continues to build on its legacy, contributing significantly to the evolution of mathematical thought and practice.
International Journal of Analysis and Applications
Empowering researchers with open access to mathematical advancements.International Journal of Analysis and Applications, published by ETAMATHS PUBL, is a premier open-access journal dedicated to fostering advancements in the fields of analysis, applied mathematics, geometry, topology, and their applications in business and international management. With a commitment to providing high-quality research, the journal has been an open-access platform since 2013, ensuring that researchers, professionals, and students have unhindered access to valuable findings and methodologies. Based in Vancouver, Canada, the journal’s scope spans a diverse range of mathematical disciplines, bridging theoretical concepts with practical applications. The journal has been categorized in various quartiles as of 2023, reaching Q4 in Analysis and Applied Mathematics, and Q3 in Business and International Management, highlighting its growing importance in the academic community. At present, it is ranked 55th in Geometry and Topology and holds a respectable position within the Scopus database. By fostering innovative research and providing a collaborative platform, the International Journal of Analysis and Applications aims to contribute significantly to the development and application of mathematical theory in contemporary settings.
JOURNAL OF FUNCTIONAL ANALYSIS
Connecting Theory and Application in Functional AnalysisThe JOURNAL OF FUNCTIONAL ANALYSIS, published by Academic Press Inc Elsevier Science, stands as a premier platform in the field of analysis, encompassing a broad spectrum of topics pertinent to functional analysis and its applications. With an impressive impact factor and categorized in Q1 for the year 2023, it ranks as one of the top journals in Mathematics (Analysis), placing it in the 77th percentile among its peers. This journal, founded in 1967, continues to provide researchers, professionals, and students with cutting-edge insights, rigorous publications, and a vibrant forum for scholarly discourse. The journal remains committed to advancing knowledge in the discipline and fostering an environment that encourages innovation and collaboration. Although it does not offer open access options, its high standards for publication ensure that each issue is replete with high-quality research that significantly contributes to the field. The journal's comprehensive coverage aligns well with the evolving landscape of functional analysis, making it an indispensable resource for anyone seeking to deepen their understanding and engage with current trends in this essential area of mathematics.
Korean Journal of Mathematics
Connecting Scholars Through Mathematical Dialogue.The Korean Journal of Mathematics, published by the Kangwon-Kyungki Mathematical Society, is an esteemed platform dedicated to advancing the field of mathematics. With an ISSN of 1976-8605 and E-ISSN of 2288-1433, the journal features a range of scholarly articles that emphasize both theoretical and applied aspects of mathematics, catering to researchers, professionals, and students alike. Although it is not open access, the journal maintains a commitment to academic rigor and integrity, ensuring high-quality contributions to the mathematical community. As it converges from years 2021 to 2024, the Korean Journal of Mathematics is poised to enhance its visibility within the Scopus database, currently ranking #354 out of 399 in the general mathematics category, reflecting its potential for growth and impact in the mathematical sciences. With its strategic focus and institutional backing from Kangwon National University, the journal serves as a vital resource for fostering research and dialogue in the ever-evolving landscape of mathematics.
Matematicki Vesnik
Exploring the frontiers of mathematics with every issue.Matematicki Vesnik is a distinguished open-access journal published by the MATH SOC SERBIA-DRUSTVO MATEMATICARA SRBIJE, dedicated to advancing the field of mathematics since its inception. With an ISSN of 0025-5165 and an E-ISSN of 2406-0682, this journal has been a significant platform for disseminating research findings since its establishment in 1993. Hosted in Serbia, it embraces a broad scope of mathematical discourse while achieving a Q3 category ranking in miscellaneous mathematics for 2023. As part of its commitment to fostering scholarly communication, Matematicki Vesnik is accessible to a global audience, promoting high-quality research and innovative ideas within the mathematical community. With converged years from 1999 to 2024 and a Scopus rank of #232 out of 399 in General Mathematics, the journal plays a crucial role in enhancing visibility and impact for researchers, professionals, and students alike in the dynamic landscape of mathematical inquiry.
Fixed Point Theory
Unlocking the Potential of Fixed Point ApplicationsFixed Point Theory, published by HOUSE BOOK SCIENCE-CASA CARTII STIINTA, is a distinguished journal that has garnered attention in the fields of mathematical analysis, applied mathematics, and computational mathematics. With an ISSN of 1583-5022 and an E-ISSN of 2066-9208, this journal serves as a vital platform for disseminating innovative research and significant developments in fixed point theory and its numerous applications. Its emergence as a Q3-ranked journal in 2023 across multiple categories indicates its growing influence within the academic community, particularly in Romania and beyond. Researchers, professionals, and students alike will find Fixed Point Theory an essential resource for staying abreast of the latest findings, methodologies, and theoretical advancements in these critical areas of mathematics, fostering a deeper understanding and stimulating further exploration in both foundational and applied settings.
JOURNAL OF GEOMETRIC ANALYSIS
Bridging Theory and Application in GeometryJOURNAL OF GEOMETRIC ANALYSIS, published by SPRINGER, stands as a premier platform for the dissemination of high-quality research in the field of geometric analysis. With its ISSN 1050-6926 and E-ISSN 1559-002X, this prestigious journal has maintained a robust academic reputation since its inception in 1991, boasting a convergence of ideas and research that will continue through 2024. It is categorized in the top quartile (Q1) of Geometry and Topology, highlighting its significance and influence in the mathematical community. Ranking 23rd out of 106 in its field, and placing in the 78th percentile according to Scopus metrics, this publication is essential for researchers, professionals, and students who seek to deepen their understanding of geometric structures and their applications. Though it operates under a subscription model rather than Open Access, the journal consistently aims to advance knowledge through rigorous peer-reviewed articles that explore the latest developments and methodologies in geometric analysis, making it a pivotal resource for anyone involved in mathematical research.
Kodai Mathematical Journal
Cultivating Knowledge in the Mathematical CommunityKodai Mathematical Journal is a distinguished publication dedicated to advancing the field of mathematics, particularly in miscellaneous areas. Established in 1949, this esteemed journal has been a reputable source for researchers and practitioners who seek to contribute to the rich landscape of mathematical knowledge. Published by KINOKUNIYA CO LTD, the journal is based in the academic environment of Tokyo Institute of Technology and serves a global audience with rigorous and insightful research articles. Despite its current Q3 quartile ranking in the Scopus Mathematics category, which reflects its niche but impactful contributions, the journal is poised for growth; the convergence of traditional and novel mathematical techniques promises to enhance its relevance further. Researchers, professionals, and students are encouraged to engage with the rich content of the journal, aimed at fostering collaboration and nurturing innovation in the mathematical community. While currently not available as Open Access, Kodai Mathematical Journal remains a critical resource for those passionate about mathematics and its applications.
Tamkang Journal of Mathematics
Bridging Theory and Application in the World of MathematicsTamkang Journal of Mathematics, published by TAMKANG UNIVERSITY, serves as a vital platform for researchers and professionals in the fields of applied mathematics, general mathematics, and materials science. With an ISSN of 0049-2930 and an E-ISSN of 2073-9826, this journal has established itself within the academic community, particularly noted for its contributions from Taiwan. Although categorized as Q4 in Applied Mathematics and Q3 in multiple related fields according to the 2023 ranking, it maintains a solid reputation for disseminating significant research findings and innovative methodologies. Researchers can explore an array of topics within its pages, making it an excellent resource for enhancing mathematical knowledge and applications. As it converges from 2005 to 2024, the journal invites academics, professionals, and students to engage with its content and contribute to the ongoing dialogue in mathematics and its interdisciplinary applications.