About Dulac's Problem in R3 for Perturbations of Linear Non-Degenerated Centers
Explora el problema de Dulac en R^3 para perturbaciones de centros lineales no degenerados, analizando mapas de retorno, conjuntos de ciclos y técnicas de explosión para sistemas dinámicos.
A Class of Two-Dimensional Model Sets from One-Dimensional Substitutions
Explore two-dimensional model sets derived from one-dimensional substitutions, focusing on Fibonacci and Fibinoid patterns, cut-and-project schemes, and Rauzy fractals in aperiodic tilings.
Modeling the Transmission of Wolbachia in Mosquitoes for Controlling Mosquito-Borne Diseases
Explore mathematical modeling of Wolbachia transmission in mosquitoes for disease control. Learn about reproductive numbers, critical thresholds, and spatial models to predict infection spread and intervention success.
Hilbert's 16th Problem and O-Minimality - Lecture 1
Explore the topology of cycles, limit cycles, and related mathematical concepts in this advanced graduate-level lecture on Hilbert's 16th problem and o-minimality.
Vector Bundles for Data Alignment and Dimensionality Reduction
Explore vector bundles in data science, focusing on synchronization problems and topology-preserving dimensionality reduction. Applications in computational chemistry and dynamical systems are presented.
An Approach to Assigning Semantics to Persistent Homology Classes
Explore a novel approach to interpreting persistent homology classes in applied settings, overcoming traditional limitations by leveraging comparative measurements against known models.
Residual Dynamic Mode Decomposition- Rigorous Data-Driven Computation of Spectral Properties of Koopman Operators for Dynamical Systems
Explore rigorous data-driven methods for computing spectral properties of Koopman operators in dynamical systems, focusing on Residual Dynamic Mode Decomposition and its applications.
Nonlinear Reduced Models for Parametric/Random PDEs
Explore efficient techniques for constructing reduced models of parametric/random PDEs, focusing on error estimation, library construction, and practical applications in thermal systems and state estimation.
Modelling Immunity to Malaria
Explore mathematical models of malaria immunity, examining within-host dynamics, antigenic variation, and population-level impacts to enhance understanding and control strategies.
Mini-course on Blaschke Products and Inner Functions - Part 1
Explore Blaschke products and inner functions in complex analysis, covering definitions, singular inner functions, and dynamical properties in this advanced mathematics lecture.
Symmetric Spaces by Pralay Chatterjee
Explore symmetric spaces in this advanced lecture on geometry, groups, and dynamics. Delve into modern research aspects and connect with cutting-edge theories in the field.
The Topology of the 3 Body Problem & Space
Explore the topological structure of invariant manifolds in the 3-body problem and its applications in space missions, dynamical astronomy, and celestial body impacts.
Introduction to Nonlinear Dynamics - The Case of Catastrophe Theory by Vishwesha Guttal
Explore nonlinear dynamics and catastrophe theory in finance and macroeconomics. Learn alternative frameworks for analyzing modern financial systems and their economic impacts.
Dynamical Systems Applied to Biology - Part 1
Explore dynamical systems in biology, focusing on applications and mathematical approaches to understand complex biological processes and phenomena.
Basic Traffic Models and Traffic Waves
Explore fundamental traffic models and wave phenomena in vehicular flow, examining mathematical concepts crucial for understanding and optimizing autonomous vehicle systems.
Triangular Ice Combinatorics
Explores Alternating Phase Matrices, a generalization of Alternating Sign Matrices, in the context of triangular lattice ice models. Discusses connections to domino tilings and presents enumeration formulas and limit shape results.
Positivity for Symmetric Functions and Vertex Models
Explore connections between symmetric function homomorphisms and stochastic six-vertex model positivity, linking to RSK correspondence in algebraic combinatorics.
Deep Learning of Dynamical Systems for Mechanistic Insight and Prediction in Psychiatry
Explore deep learning techniques for analyzing dynamical systems in psychiatry, uncovering mechanisms, and predicting outcomes using neural and behavioral data from various sources.
Linearized Instability for Neutral Functional Differential Equations with State-Dependent Delays
Lecture on linearized instability for neutral functional differential equations with state-dependent delays, presenting recent research findings in advanced mathematics.
An Introduction to Delay Differential Equations - Motivation and Applications
Explore delay differential equations, their applications, and open problems in this insightful lecture by Jacqueline Godoy Mesquita, offering a comprehensive introduction to this mathematical field.
Dynamical Systems and Chaos - Interview with Stephen H. Kellert
Entrevista con Stephen H. Kellert sobre sistemas dinámicos y caos, explorando conceptos clave como bifurcaciones, el efecto mariposa y atractores extraños, y su relevancia en diversos campos científicos y humanísticos.