Research Paper#Random Fields, Probability Theory, Borel Transformations🔬 ResearchAnalyzed: Jan 3, 2026 15:51
Uniform Continuity for Random Field Transformations
Published:Dec 30, 2025 19:51
•1 min read
•ArXiv
Analysis
This paper provides sufficient conditions for uniform continuity in distribution for Borel transformations of random fields. This is important for understanding the behavior of random fields under transformations, which is relevant in various applications like signal processing, image analysis, and spatial statistics. The paper's contribution lies in providing these sufficient conditions, which can be used to analyze the stability and convergence properties of these transformations.
Key Takeaways
- •Provides sufficient conditions for uniform continuity in distribution.
- •Focuses on Borel transformations of random fields.
- •Relevant to applications in signal processing, image analysis, and spatial statistics.
Reference
“Simple sufficient conditions are given that ensure the uniform continuity in distribution for Borel transformations of random fields.”