ANNALI DI MATEMATICA PURA ED APPLICATA

Scope & Guideline

Navigating the Landscape of Mathematical Innovation

Introduction

Welcome to your portal for understanding ANNALI DI MATEMATICA PURA ED APPLICATA, featuring guidelines for its aims and scope. Our guidelines cover trending and emerging topics, identifying the forefront of research. Additionally, we track declining topics, offering insights into areas experiencing reduced scholarly attention. Key highlights include highly cited topics and recently published papers, curated within these guidelines to assist you in navigating influential academic dialogues.
LanguageMulti-Language
ISSN0373-3114
PublisherSPRINGER HEIDELBERG
Support Open AccessNo
CountryGermany
TypeJournal
Convergefrom 1858 to 1861, from 1863 to 1865, from 1867 to 1871, 1873, 1875, from 1877 to 1878, 1880, from 1882 to 1883, from 1885 to 1919, from 1921 to 1922, from 1924 to 2024
AbbreviationANN MAT PUR APPL / Ann. Mat. Pura Appl.
Frequency4 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressTIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY

Aims and Scopes

The journal "ANNALI DI MATEMATICA PURA ED APPLICATA" is dedicated to the dissemination of high-quality research in pure and applied mathematics. Its aim is to publish original research articles that contribute to various fields of mathematics, focusing on both theoretical advancements and practical applications. The journal encompasses a wide array of mathematical topics, ensuring a comprehensive representation of current trends and methodologies in the discipline.
  1. Differential Equations and Dynamical Systems:
    The journal frequently publishes articles on both linear and nonlinear differential equations, particularly focusing on their existence, uniqueness, stability, and asymptotic behaviors. This includes studies on parabolic, elliptic, and hyperbolic equations in various contexts, such as Riemannian manifolds and nonlocal settings.
  2. Geometric Analysis and Differential Geometry:
    A significant portion of the journal's publications explore the geometric properties of manifolds, including curvature, minimal surfaces, and geometric flows. This area emphasizes the interplay between geometry and analysis, particularly through the use of variational methods.
  3. Functional Analysis and Operator Theory:
    The journal showcases research in functional analysis, particularly concerning operator theory and its applications. Studies often involve Sobolev spaces, Besov spaces, and various types of inequalities, contributing to the understanding of functional spaces and operator behavior.
  4. Mathematical Physics and Applications:
    Research articles addressing mathematical models in physics, including topics like fluid dynamics, wave equations, and quantum mechanics, are prevalent. These contributions often bridge theoretical mathematics and real-world applications, demonstrating the utility of mathematical frameworks in physical scenarios.
  5. Algebraic Structures and Group Theory:
    The journal features research on algebraic structures, including groups, algebras, and their representations. This includes studies on character theory, cohomology, and the application of algebraic techniques to solve geometric and analytic problems.
  6. Numerical Analysis and Computational Methods:
    There is a growing focus on numerical methods and computational approaches to solving mathematical problems, particularly in the context of partial differential equations and optimization. This reflects the increasing importance of computational techniques in modern mathematical research.
In recent years, the journal has seen a rise in interest and publications in several emerging areas of mathematics. These themes reflect current trends and innovative approaches that are gaining traction within the mathematical community, indicating a dynamic evolution of research interests.
  1. Fractional Calculus and Nonlocal Operators:
    There is a growing body of work focusing on fractional calculus, nonlocal operators, and their applications in various mathematical contexts. This trend highlights a shift towards exploring generalizations of classical calculus and the implications for differential equations.
  2. Mathematical Modeling in Real-World Applications:
    An increasing number of articles are dedicated to mathematical modeling, particularly in applied contexts such as fluid dynamics, biological systems, and social sciences. This trend emphasizes the relevance of mathematics in addressing practical problems and interdisciplinary research.
  3. Geometric Flows and Minimal Surfaces:
    Research on geometric flows, such as mean curvature flow and Ricci flow, is becoming more prominent. This area combines differential geometry with analysis, reflecting a contemporary interest in understanding the dynamics of geometric structures.
  4. Topology and Geometric Analysis:
    Emerging interest in topology, particularly in relation to geometric analysis, is evident in recent publications. This includes studies on manifolds, homotopy theory, and applications of topological concepts in geometry and analysis.
  5. Machine Learning and Data Science Applications:
    The integration of mathematical concepts with machine learning and data science is increasingly prevalent. Articles exploring mathematical foundations of algorithms and statistical learning methods indicate a significant trend towards computational approaches in mathematics.

Declining or Waning

While the journal continues to cover a wide array of mathematical topics, certain areas of research appear to be receiving less attention in recent publications. The following themes have shown a noticeable decline, suggesting a shift in focus among the contributors and the evolving landscape of mathematical research.
  1. Classical Analysis and Function Theory:
    There has been a decrease in publications focusing solely on classical analysis and traditional function theory. While these areas are foundational, newer, more applied methods and interdisciplinary approaches seem to be gaining prominence.
  2. Elementary Number Theory:
    Research papers specifically dedicated to elementary number theory topics, such as divisibility, congruences, and elementary functions, have become less frequent. This decline may reflect a shift towards more abstract or computational aspects of number theory.
  3. Combinatorial Mathematics:
    The publication of works in combinatorial mathematics has diminished, with fewer studies exploring combinatorial structures and their properties. This may be due to a broader trend of focusing on combinatorial applications within more extensive mathematical frameworks rather than standalone combinatorial investigations.
  4. Discrete Mathematics:
    There is a noticeable reduction in the coverage of discrete mathematics topics, including graph theory and combinatorial optimization. This decline may be attributed to the increasing integration of discrete mathematics into broader applied contexts or computational studies.
  5. Statistical Methods and Probability Theory:
    Research in pure statistical methods and probability theory appears to be waning, with fewer articles dedicated to these topics. Instead, applied statistics in conjunction with mathematical modeling may be more prevalent.

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