Physical Measure Variation in Mixed Partially Hyperbolic Systems
Published:Dec 30, 2025 18:43
•1 min read
•ArXiv
Analysis
This paper constructs a specific example of a mixed partially hyperbolic system and analyzes its physical measures. The key contribution is demonstrating that the number of these measures can change in a specific way (upper semi-continuously) through perturbations. This is significant because it provides insight into the behavior of these complex dynamical systems.
Key Takeaways
- •Constructs a nontrivial mixed partially hyperbolic system.
- •Identifies the skeleton of the system.
- •Demonstrates variation in the number of physical measures under perturbation.
- •Provides an example where the number of physical measures varies upper semi-continuously.
Reference
“The paper demonstrates that the number of physical measures varies upper semi-continuously.”