Topological and Conformal Dimensions of Self-Similar Groups
Explore topological and conformal dimensions of self-similar groups, examining their limit spaces and associated dynamical systems in geometric group theory.
Nonlinear Dynamics Insights into Golden Tides in the Caribbean Sea
Explore nonlinear dynamics of Sargassum transport in the Caribbean Sea, examining mesoscale eddies as carriers and mechanisms of coastal inundation using satellite data and minimal models.
Fractional Response and Parameter Almost Sure Invariance Principle for the Quadratic Family
Explore statistical properties of quadratic family dynamics, including almost sure invariance principle and its implications for ergodic averages and fractional response.
Dynamical Subsets in Iterated Function Systems
Explore dynamical subsets in iterated function systems with Henna Koivusalo's in-depth analysis of rare events in dynamical systems.
Rare Events Point Processes in Infinite Measure Dynamical Systems
Explore rare events point processes in infinite measure dynamical systems, focusing on hitting and return time statistics and their applications to Manneville-Pommeau maps.
Generalized Law of Iterated Logarithm in the Infinite Horizon Lorentz Gas
Explore the behavior of infinite horizon Lorentz gas, focusing on chaotic dynamics, long flights, and non-standard scaling in limit theorems for billiard particle positions.
Quantitative Recurrence for Z-Extension of Three-Dimensional Axiom A Flows
Explore quantitative recurrence in Z-extension of Axiom A flows, focusing on first return time behavior and applications to geodesic flows on Z-cover of compact surfaces.
Convergence to Decorated Lévy Processes for Dynamical Systems
Explore weak convergence to decorated Lévy processes in dynamical systems, covering applications in expanding maps, intermittent maps, and dispersing billiards with flat cusps.
Extremes and Self-Recurrence in Dynamical Systems
Explore extreme value theory in dynamical systems, focusing on recurrence properties and Poisson limit laws. Examine self-recurrence and its implications for system behavior.
Extreme Value Theory and Poisson Statistics for Stochastic Differential Equations
Explore extreme event distributions in stochastic processes using transfer operators and spectral analysis techniques for Stochastic Differential Equations.
Averaging Result for Differential Equations Perturbed by a Z-Periodic Lorentz Gas
Explore averaging results for differential equations perturbed by Z-periodic Lorentz gas, examining asymptotic behavior and convergence rates in infinite measure-preserving systems.
Poisson Limit Theorems for Systems with Product Structure
Explore Poisson Limit Theorems for product systems, focusing on return times to small sets and applications to various map combinations, including Anosov and skew products.
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.
Learn One Size to Infer All: Exploiting Symmetries in Dynamical Systems Using Scalable Neural Networks
Explore symmetries in dynamical systems using scalable neural networks to infer patterns across various sizes and complexities.
Optimal Control of Lake Eutrophication
Explore strategies for managing lake ecosystems, focusing on controlling eutrophication through mathematical modeling and optimal control theory techniques.
Data-Driven Closure Modeling Using Derivative-free Kalman Methods
Explore data-driven closure modeling for complex dynamical systems using derivative-free Kalman methods. Learn to improve predictions in turbulence and cloud dynamics with advanced machine learning techniques.
Computational Mathematics: Dynamics, Geometry, and Algebra in Numerical Integration
Explore computational mathematics at the intersection of dynamics, geometry, and algebra, focusing on geometric numerical integration and structure-preserving discretization of differential equations.
New Developments in BifurcationKit.jl - JuliaCon 2024
Explore advancements in BifurcationKit.jl for analyzing periodic and homoclinic orbits, including new methods for bifurcation analysis and integration with other Julia packages.
Dynamical Spectral Transition for Optimization in Very High Dimensions
Explore dynamical spectral transitions in high-dimensional optimization, examining mathematical concepts and their applications in complex systems and data analysis.
Low-Dimensional Approximations of the Conditional Law of Volterra Processes - A Non-Positive Curvature Approach
Explore non-positive curvature approaches for approximating conditional laws of Volterra processes in low dimensions, with applications in machine learning and dynamical systems.