Examining the links between image generation models and associative memory.
― 7 min read
Cutting edge science explained simply
Examining the links between image generation models and associative memory.
― 7 min read
A look into how Markov processes influence complex systems over time.
― 5 min read
This paper analyzes errors in linearizing stochastic models and provides a framework for error estimation.
― 5 min read
Explore the structures and behaviors of dilation surfaces and their fascinating foliations.
― 5 min read
An exploration of how hierarchies form in competitive environments.
― 6 min read
Introducing a new metric for analyzing fluid motion using trajectory variations.
― 9 min read
This study reveals patterns in complex shapes from quadratic polynomials.
― 5 min read
A look at the El Niño-Southern Oscillation and its effects on global weather.
― 5 min read
BNQN offers a smoother and more robust alternative for finding roots in mathematics.
― 5 min read
Exploring cut-and-project sets and their role in understanding aperiodic structures.
― 4 min read
Our research shows conditions for stability in the chaotic Lorenz system.
― 8 min read
This research explores gain scheduling and neural operators for better control of nonlinear PDEs.
― 6 min read
Research offers insights into guiding epithelial cells using electric fields.
― 7 min read
Analyzing unique behaviors in dynamical systems on complex manifolds.
― 7 min read
Explore the structure and study of manifolds and foliations in mathematics.
― 6 min read
Bees protect their hives through a fascinating behavior called shimmering.
― 7 min read
This study examines how specific structures affect the behavior of complex systems.
― 7 min read
A look into how escape rates affect open dynamical systems.
― 7 min read
New methods improve understanding of oil spill movement through ocean models.
― 4 min read
Introducing a score-based solver for complex high-dimensional problems.
― 6 min read
This study investigates paths of small bodies in gravitational fields of large bodies.
― 5 min read
A look into the behavior of electrons near atomic nuclei using mathematical models.
― 6 min read
This paper examines the O-U process for better population modeling.
― 6 min read
A study on food chains using advanced mathematical techniques.
― 5 min read
Gatzouras-Lalley carpets reveal complex patterns and dimensions in fractal geometry.
― 5 min read
A look at how dynamical systems work and their applications in various fields.
― 6 min read
Innovative approach using neural networks to stabilize PDE systems efficiently.
― 6 min read
A look into slow-fast systems and their critical transitions.
― 6 min read
A framework that merges Lagrangian and Eulerian data for improved system state estimates.
― 6 min read
Researchers develop TEAMS for better predictions of extreme weather events.
― 7 min read
Exploring undecidability in subshifts of finite type and sofic subshifts.
― 4 min read
This article presents a new method for measuring city livability indices.
― 6 min read
A look into the gravitational interactions and motions of the Earth-Moon system.
― 6 min read
This article delves into hitting distributions within random dynamical systems.
― 7 min read
Introducing a framework for studying complex biological interactions using optimal transport theory.
― 5 min read
Discover how piecewise-linear maps lead to complex behavior and chaos.
― 4 min read
New models improve predictions of ENSO climate phenomena and their global impacts.
― 6 min read
Study examines how missing connections affect link prediction accuracy across networks.
― 7 min read
This study presents two algorithms for accurate recovery of source terms in initial value problems.
― 6 min read
An overview of interpolation sets and their impact on dynamical systems.
― 4 min read