Topology and Dynamics of Higher-Order Networks - Lecture 2: Introduction to Algebraic Topology on Networks and Simplicial Complexes
Explore algebraic topology on networks and simplicial complexes, focusing on Hodge Laplacians and Dirac operators in higher-order networks. Gain insights into topological signals and their applications.
Nonlinear Dynamics of Neuronal Models with Applications to Bird Song Dynamics - Class 2
Explore nonlinear dynamics of neuronal models and their application to bird song dynamics, focusing on advanced concepts and real-world examples.
Nonlinear Dynamics of Neuronal Models with Applications to Bird Song Dynamics - Class 1
Explore nonlinear dynamics in neuronal models, focusing on bird song dynamics. Gain insights into complex neuroscience concepts and their applications.
Graphs in the Modern World: Analyzing Infectious Disease Dynamics
Explore graph-based models for analyzing infectious diseases, from deterministic compartmental models to agent-based simulations in modern epidemiology.
Resolution of a Hundred Year Old Problem on Lattice Random Walks and Its Application to Study Inelastic Collisions
Explore a century-old lattice random walk problem and its implications for inefficient diffusion in complex systems.
Generation of Stochastic Trajectories - Applications to Complex Systems
Explore stochastic trajectory generation and its applications in complex systems, focusing on interdisciplinary physics concepts and advanced modeling techniques.
Maximum Lyapunov Exponent for Temporal Networks
Explore the Maximum Lyapunov Exponent concept in temporal networks, delving into complex systems analysis and network dynamics.
Numerical Methods for Quasi-Stationary Distributions
Explore numerical techniques for calculating quasi-stationary distributions in complex systems, enhancing understanding of long-term behavior in stochastic processes.
On the Barriers of Robust Koopman Learning
Explore barriers in robust Koopman learning with Matthew Colbrook, examining challenges and advancements in machine learning for dynamical systems.
The Operator is the Model - Dynamical Systems and Machine Learning
Explore the intersection of machine learning and dynamical systems with Igor Mezic, focusing on operator-based modeling approaches and their implications for complex system analysis.
Orbit Hierarchies and Long-Term Predictability in Chaotic Systems
Explore orbit hierarchies and long-term predictability in chaotic systems, uncovering insights into complex dynamical behaviors and their implications for machine learning.
Learning Coarse-Grained Dynamics on Graphs
Explore coarse-grained dynamics on graphs with John Harlim, delving into advanced machine learning techniques for dynamical systems analysis and modeling.
Dynamical Systems in Deep Generative Modelling
Explore the intersection of dynamical systems and deep generative modeling, uncovering innovative approaches for creating advanced AI models and understanding complex data patterns.
Dynamics of Heterogeneous Networks
Explore dynamics of heterogeneous networks with Tiago Pereira at IMPA's International Conference on Dynamical Systems, celebrating Marcelo Viana's 60th birthday and featuring top researchers.
Chimera States for Coupled Pendula
Explore chimera states in coupled pendula systems with Prof. Tomasz Kapitaniak's insightful seminar on complex synchronization phenomena.
Lenia: A Continuous Model of Virtual Cell Growth Patterns
Explore virtual cell growth patterns through Lenia, a continuous model presented by Dr. Bert Chan in this Mathematical Oncology seminar.
Construction of Solution Landscape for Complex Systems
Explore the novel "Solution Landscape" concept and its applications in complex systems, including nematic liquid crystals, crystalline phases, and Bose-Einstein condensates.
Finding the Equations and Structures of Complex Systems from Data
Discover techniques for uncovering equations and structures of complex systems using data. Learn about sparse optimization, network inference, and data-driven prediction frameworks.
DinAmicI in Rio - Dynamics, Applications, Interactions
Explore dynamic systems with experts from DinAmicI network and Brazil. Join international researchers for cutting-edge discussions on dynamics, applications, and interactions in mathematics.
Complexity of Music - Topology of Networks in Musical Spaces
Explore the intersection of music theory and complex systems through network topology analysis, offering new insights into tonal harmony and musical structures.
Behind the Scene: Open Source Software as Both a Tool and a Topic for Research
Explore the complex ecosystem of Open Source Software, its critical role in modern technology, systemic risks, and implications for scientific research through network analysis and risk modeling.