5 papers
Limit Theorems for a class of unbounded observables with an application to "Sampling the Lindelöf hypothesis"
Kasun Fernando, Tanja I. Schindler
We prove the Central Limit Theorem (CLT), the first order Edgeworth Expansion and a Mixing Local Central Limit Theorem (MLCLT) for Birkhoff sums of a class of unbounded heavily osc…
Statistical properties of mostly expanding fast-slow partially hyperbolic systems
Jacopo De Simoi, Kasun Fernando, Nicholas Fleming-Vázquez
We consider a class of fast-slow partially hyperbolic systems on given by -perturbations of maps where are exp…
Limit theorems for toral partially hyperbolic endomorphisms
Roberto Castorrini, Kasun Fernando
Under natural assumptions on the observable, we prove a Central Limit Theorem, a Berry-Esseen Theorem, and a quantitative Local Limit Theorem for a broad class of partially hyperbo…
Navigating the Shadows: Unveiling Effective Disturbances for Modern AI Content Detectors
Ying Zhou, Ben He, Le Sun
With the launch of ChatGPT, large language models (LLMs) have attracted global attention. In the realm of article writing, LLMs have witnessed extensive utilization, giving rise to…
On the Reliability of Watermarks for Large Language Models
John Kirchenbauer, Jonas Geiping, Yuxin Wen +7
As LLMs become commonplace, machine-generated text has the potential to flood the internet with spam, social media bots, and valueless content. Watermarking is a simple and effecti…