Analysis and Geometry in Metric Spaces
Scope & Guideline
Exploring innovative dimensions in metric spaces.
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
ANNALI DI MATEMATICA PURA ED APPLICATA
Advancing Knowledge Through Rigorous ResearchANNALI DI MATEMATICA PURA ED APPLICATA is a prestigious journal published by Springer Heidelberg, focusing on the field of Applied Mathematics. With a rich history dating back to its initial publication stages from 1858, this journal continues to serve as a vital platform for researchers and professionals seeking to disseminate high-quality, peer-reviewed research. The journal's strong reputation is reflected in its Q1 ranking in Applied Mathematics and its Scopus rank of #335 out of 635, placing it in the 47th percentile, showcasing its impact in the field. Although it is not an open-access journal, it provides exclusive insights and advancements in mathematical applications, allowing academics to explore innovative methodologies and theoretical developments. The combination of its long-standing tradition and contemporary relevance makes ANNALI DI MATEMATICA PURA ED APPLICATA an essential resource for scholars and students looking to deepen their understanding of mathematics and its practical applications.
ANNALES DE L INSTITUT FOURIER
Fostering Innovation in Mathematical SciencesANNALES DE L INSTITUT FOURIER is a premier academic journal published by ANNALES INST FOURIER, specializing in the fields of Algebra and Number Theory as well as Geometry and Topology. Since its establishment, the journal has garnered a distinguished reputation, evidenced by its Q1 quartile ranking in the 2023 category assessments and its Scopus Rank of #37 out of 119 in Algebra and Number Theory, and #34 out of 106 in Geometry and Topology, placing it within the top percentile of its field. The journal serves as a vital platform for disseminating groundbreaking research and innovative methodologies, catering to a global audience of researchers, professionals, and students. With a commitment to the advancement of mathematical sciences, ANNALES DE L INSTITUT FOURIER invites contributions that push the boundaries of knowledge and foster collaboration across disciplines. Although it does not offer open access, the rigorous peer-review process ensures that published papers meet the highest academic standards, making it a critical resource for anyone engaged in advanced mathematical research.
Applied General Topology
Empowering Researchers to Shape Mathematical FuturesApplied 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.
Annales Fennici Mathematici
Empowering the Future of Mathematical ResearchAnnales Fennici Mathematici is a prestigious academic journal published by Suomalainen Tiedeakatemia based in Helsinki, Finland. With an ISSN of 2737-0690 and an E-ISSN of 2737-114X, this journal has quickly established itself as an essential resource in the field of mathematics since its inception in 2021. It boasts an impressive Q1 categorization in Mathematics (miscellaneous) for 2023, highlighting its impact among top-tier mathematical publications. Currently, it holds a Scopus rank of #135 out of 399 in General Mathematics, placing it in the 66th percentile among its peers, ensuring visibility and relevance for its published works. The journal is committed to providing a platform for innovative research and the dissemination of mathematical discoveries, making it an invaluable resource for researchers, professionals, and students looking to expand their knowledge and engage with contemporary mathematical challenges.
Pure and Applied Mathematics Quarterly
Connecting Mathematicians Through Quality ResearchPure and Applied Mathematics Quarterly is a prestigious journal published by INT PRESS BOSTON, INC, focusing on the diverse and evolving field of mathematics. Since its inception in 2007, this journal has grown significantly, currently holding a Q1 ranking in the Mathematics (Miscellaneous) category for 2023, positioning it among the leading publications in the discipline. With a commitment to publishing high-quality research, Pure and Applied Mathematics Quarterly fosters innovation and dialogue within the mathematical community by providing a platform for theoretical advancements and practical applications. The journal remains accessible to researchers and professionals through its ISSN 1558-8599 and E-ISSN 1558-8602, although it does not currently offer open access. As a vital resource for mathematicians, educators, and students, this journal endeavors to expand the frontiers of mathematical knowledge and contribute to the academic dialogue surrounding this fundamental science.
Georgian Mathematical Journal
Unveiling the complexities of mathematics since 1994.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.
JOURNAL OF DIFFERENTIAL GEOMETRY
Exploring innovative paths in mathematical research.JOURNAL OF DIFFERENTIAL GEOMETRY, a premier publication by INT PRESS BOSTON, INC, has established itself as a leading forum for the dissemination of high-quality research in the fields of differential geometry, algebra, and analysis. With an impressive history that spans from 1967 to 2024, this journal is recognized for its rigorous peer-reviewed articles, contributing significantly to the advancement of mathematical theories and innovative approaches. Notably, the journal boasts a Q1 ranking in key categories such as Algebra and Number Theory, Geometry and Topology, and Analysis, reflecting its pivotal role within the mathematics community. Its Scopus rankings reinforce its reputation, placing it among the top-tier journals in its respective fields, with a 97th percentile ranking in Algebra and Number Theory, further emphasizing its influence. While the journal does not offer Open Access options, it remains a critical resource for researchers, professionals, and students aiming to stay at the forefront of developments in differential geometry and related domains. Engage with groundbreaking research and explore new methodologies that are shaping the future of mathematics.
CHINESE ANNALS OF MATHEMATICS SERIES B
Advancing Mathematical Frontiers with Regional InsightsCHINESE ANNALS OF MATHEMATICS SERIES B, published by Shanghai Scientific Technology Literature Publishing House, is a prominent journal dedicated to fostering research and development in the field of mathematics. With an ISSN of 0252-9599 and an E-ISSN of 1860-6261, this journal provides a platform for the dissemination of innovative mathematical theories and methodologies. As of 2023, it is categorized within the Q4 quartile in *Applied Mathematics* and has achieved a commendable Q3 rank in *Mathematics (miscellaneous)*, emphasizing its growing influence in academia. Despite not being an open-access publication, it serves as a valuable resource for researchers, professionals, and students seeking to explore diverse mathematical topics, particularly from a unique regional perspective. The journal's extensive publication history—from 1980 and continuing to 2024—demonstrates a longstanding commitment to advancing mathematical knowledge and providing insights into various disciplines related to mathematics.
Tamkang Journal of Mathematics
Advancing Knowledge in Applied and Theoretical 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.
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY
Illuminating Trends in Mathematics for Over Fifty YearsThe BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, published by Wiley, is a distinguished journal that serves as a vital resource in the field of mathematics. With its ISSN 0024-6093 and E-ISSN 1469-2120, this journal has consistently provided a platform for innovative research and scholarly discourse since its inception in 1969. Recognized for its quality, it currently holds an impressive Q1 ranking in the mathematics category, a testament to its significance in disseminating influential findings and trends in the mathematical sciences. Researchers and practitioners can rely on the BULLETIN for its comprehensive coverage of both theoretical and applied mathematics, which caters to a diverse audience ranging from professionals to students alike. Though it does not currently offer Open Access options, its articles can be accessed through institutional subscriptions, ensuring that significant works reach the academic community effectively. With contributions that span over five decades, the journal continues to shape mathematical research and inspire future advancements in the discipline.