Mathematics - Classical Analysis and ODEs

Classical Analysis and ODEsDelving into Spherical Averages and Variation Bounds

An overview of spherical averages and their significance in various fields.

Reuben Wheeler

2025-06-09T19:42:56+00:00 ― 4 min read

Classical Analysis and ODEsUnderstanding Self-Similar Differential Equations

An overview of self-similar differential equations and their applications.

Leon Q. Brin, Joe Fields

2025-06-07T05:13:57+00:00 ― 5 min read

CombinatoricsIterating Power Series: New Insights and Approaches

A look into recent methods for iterating power series and their historical context.

Beauduin Kei

2025-06-07T02:36:39+00:00 ― 5 min read

Classical Analysis and ODEsOptimizing Constants in Paley-Wiener Spaces

A focused study on constants in Paley-Wiener spaces through optimization.

Sarah May Instanes

2025-06-05T10:24:43+00:00 ― 7 min read

Complex VariablesBrennan's Conjecture in Geometric Function Theory

A look into Brennan's conjecture and its implications in mathematics.

Alexandru Aleman, Athanasios Kouroupis

2025-06-03T07:17:22+00:00 ― 6 min read

Dynamical SystemsDynamics of Nose-Hoover and Moore-Spiegel Oscillators

A look into the behaviors of two key oscillators in physics.

Eran Igra

2025-06-03T07:14:54+00:00 ― 6 min read

Classical Analysis and ODEsAngles and Distances in Projective Spaces

Exploring the relationship between angles, distances, and energy in projective spaces.

Dmitriy Bilyk, Ryan W. Matzke, Joel Nathe

2025-06-02T14:41:08+00:00 ― 5 min read

Classical Analysis and ODEsClassical Orthogonal Polynomials and Their Generating Functions

Examining the relationships and properties of classical orthogonal polynomials through generating functions.

Mohammed Brahim Zahaf, Mohammed Mesk

2025-06-02T09:52:45+00:00 ― 4 min read

Classical Analysis and ODEsIntroducing New Operators for Function Approximation

A new approach enhances function approximation techniques using operators.

Jaspreet Kaur, Meenu Goyal, Khursheed J. Ansari

2025-06-01T03:43:48+00:00 ― 5 min read

Classical Analysis and ODEsThe Completeness of Translates in Functions

Examining how function shifts can represent spaces in mathematics.

Lukas Liehr

2025-06-01T03:17:35+00:00 ― 4 min read

Dynamical SystemsConnections Between Linear and Quasilinear Systems

Examining the link between linear systems and their quasilinear perturbations.

Álvaro Castañeda, Ignacio Huerta, Gonzalo Robledo

2025-05-31T22:29:12+00:00 ― 5 min read

Dynamical SystemsExploring Self-Similar Measures and Their Properties

A look at self-similar measures and their absolute continuity across dimensions.

Samuel Kittle, Constantin Kogler

2025-05-31T20:44:20+00:00 ― 4 min read

Classical Analysis and ODEsExtending Quasiconformal Mappings: A Deeper Look

This article explores the nuances of extending quasiconformal mappings while maintaining key properties.

José Afonso Barrionuevo, Felipe Gonçalves, José Victor Medeiros

2025-05-30T17:59:37+00:00 ― 5 min read

Classical Analysis and ODEsBalayage in Mathematics: Spreading Measures Evenly

Explore how measures in math mirror everyday activities like spreading jam.

Natalia Zorii

2025-05-28T05:23:49+00:00 ― 6 min read

Classical Analysis and ODEsTiling and Spectral Sets: A Mathematical Insight

Explore the relationships between tiles, groups, and spectral sets in mathematics.

Shilei Fan, Mamateli Kadir, Peishan Li

2025-05-27T10:38:27+00:00 ― 7 min read

Complex VariablesExploring the Depths of Entire Functions

A look into the properties and behaviors of entire functions in mathematics.

Alex Bergman

2025-05-27T04:52:11+00:00 ― 6 min read

Classical Analysis and ODEsThe Role of Operators in Mathematics

An engaging look at mathematical operators and their connection to averages.

Aapo Laukkarinen

2025-05-26T20:56:04+00:00 ― 7 min read

Classical Analysis and ODEsUnderstanding Series in Mathematics

A simple guide to series, factorials, and their connections in math.

Howard Cohl, Hans Volkmer

2025-05-26T15:09:48+00:00 ― 7 min read

Classical Analysis and ODEsA Simple Guide to Complex Math Concepts

Explore how intricate math ideas come together in an easy-to-understand way.

Howard Cohl, Michael Schlosser

2025-05-26T14:26:31+00:00 ― 6 min read

Classical Analysis and ODEsUnderstanding BLO and Campanato Spaces with the Schrödinger Operator

Explore the relationship between function spaces and the Schrödinger operator.

Cong Chen, Hua Wang

2025-05-25T13:54:53+00:00 ― 6 min read

Classical Analysis and ODEsThe Dance of Multiple Orthogonal Polynomials

Explore how mathematical concepts interact through the lens of performance and coordination.

Maxim L. Yattselev

2025-05-25T10:18:28+00:00 ― 4 min read

Classical Analysis and ODEsThe Shadows of Dots: Unraveling Exceptional Sets

This article examines why some dots remain hidden in projections.

Peter Cholak, Marianna Csornyei, Neil Lutz

2025-05-24T12:39:58+00:00 ― 5 min read

Dynamical SystemsGetting a Grip on Compact Data Preparation

A straightforward guide to organizing complex data systems for better understanding.

Amadeu Delshams, Piotr Zgliczynski

2025-05-24T09:03:33+00:00 ― 6 min read

Classical Analysis and ODEsUnderstanding Kakeya Sets and Regulus Strips

A look into Kakeya sets, regulus strips, and their significance in mathematics.

Shukun Wu

2025-05-24T05:27:08+00:00 ― 4 min read

Classical Analysis and ODEsShadows and Shapes: The Funk Transform Explained

Discover how the Funk transform reveals hidden shapes using shadows.

Rafik Aramyan

2025-05-23T08:31:55+00:00 ― 5 min read

Classical Analysis and ODEsDynamic Weight Changes in Graphs

This article examines how connection weights evolve over time in graphs.

Jicheng Ma, Yunyan Yang

2025-05-22T08:43:34+00:00 ― 6 min read

Statistics TheoryUnderstanding Signal Estimation in Noisy Environments

Discover techniques for estimating signals amidst noise in various fields.

Dmitrii M. Ostrovskii

2025-05-21T04:31:36+00:00 ― 6 min read

Optimization and ControlUnderstanding Sensitivity in Ordinary Differential Equations

Explore how different factors affect solutions in ordinary differential equations.

Jonathan R. Cangelosi, Matthias Heinkenschloss

2025-05-17T10:08:28+00:00 ― 6 min read

Complex VariablesUnderstanding Chebyshev Polynomials: A Mathematical Tool

An overview of Chebyshev polynomials and their applications.

Olof Rubin

2025-05-07T18:57:28+00:00 ― 5 min read

Classical Analysis and ODEsBilinear Fractional Integrals Simplified

A clear look at bilinear fractional integrals and their significance.

Junfeng Li, Haixia Yu, Minqun Zhao

2025-05-05T15:07:00+00:00 ― 5 min read

Classical Analysis and ODEsUnraveling the Mysteries of the Hénon-Heiles System

A look into the behavior of stars within the Hénon-Heiles system.

Ovidiu Costin, Rodica Costin, Kriti Sehgal

2025-05-05T05:48:52+00:00 ― 7 min read

Classical Analysis and ODEsUnderstanding Small Cap Decoupling in Math

A friendly guide to small cap decoupling and its applications.

Dominique Maldague, Changkeun Oh

2025-05-01T10:14:12+00:00 ― 5 min read

Classical Analysis and ODEsThe Fourier Extension Conjecture Explained

A look at the Fourier extension conjecture and its significance in mathematics.

Eric T. Sawyer

2025-04-28T11:04:00+00:00 ― 6 min read

Classical Analysis and ODEsUnderstanding Fractional Differential Equations and Their Importance

Explore how fractional differential equations shape our understanding of change and solutions.

Michał Fiedorowicz

2025-04-26T14:57:39+00:00 ― 5 min read

Classical Analysis and ODEsUnderstanding Discrete Paraorthogonal Polynomials

A clear look into the behavior of special polynomials on the unit circle.

G. Gordillo-Núñez, A. Suzuki

2025-04-22T15:08:54+00:00 ― 5 min read

Classical Analysis and ODEsDemystifying Hypergeometric Transformations

Discover the world of hypergeometric transformations and their impact on mathematics.

M. A. Shpot

2025-04-22T08:53:00+00:00 ― 7 min read

Classical Analysis and ODEsThe Quest for Extremal Values in Mathematics

Unraveling extremal problems in positive definite functions and locally compact Abelian groups.

Elena E. Berdysheva, Mita D. Ramabulana, Szilárd Gy. Révész

2025-04-19T01:42:30+00:00 ― 7 min read

Classical Analysis and ODEsExploring the Patterns of Periodic Solutions

Learn how periodic solutions shape our understanding of dynamic systems.

Wang Shiwei, Alexander Zorin, Marina Konyaeva

2025-04-18T12:23:20+00:00 ― 5 min read

Classical Analysis and ODEsUnderstanding Rough Differential Equations

A look into modeling complex systems affected by randomness.

Peter H. C. Pang

2025-04-17T15:04:40+00:00 ― 5 min read

Numerical AnalysisUnlocking the WKB Method: A Simplified Approach to Complex Equations

Discover how the WKB method simplifies challenging equations in physics and mathematics.

Robert M. Corless, Nicolas Fillion

2025-04-15T20:27:20+00:00 ― 7 min read