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math.PR2025
Improved universality bounds for directed polymers in the intermediate disorder regime
Pranay Agarwal
We prove universality of Tracy-Widom GUE fluctuations for directed polymers in dimensions in the intermediate disorder regime. Building on the Lindeberg replacement method of…
math.PR2025
Large Deviation Principle for Last Passage Percolation Models
Pranay Agarwal
Study of the KPZ universality class has seen the emergence of universal objects over the past decade which arise as the scaling limit of the member models. One such object is the d…