ICTS:30038

Video URL

Law of Fractional Logarithms for Extrema of Airy Processes

Law of Fractional Logarithms for Extrema of Airy Processes

(2024). Law of Fractional Logarithms for Extrema of Airy Processes. SciVideos. https://youtu.be/-nXpA_XPBP4

Law of Fractional Logarithms for Extrema of Airy Processes. SciVideos, Oct. 24, 2024, https://youtu.be/-nXpA_XPBP4 

          @misc{ scivideos_ICTS:30038,
            doi = {},
            url = {https://youtu.be/-nXpA_XPBP4},
            author = {},
            keywords = {},
            language = {en},
            title = {Law of Fractional Logarithms for Extrema of Airy Processes},
            publisher = {},
            year = {2024},
            month = {oct},
            note = {ICTS:30038 see, \url{https://scivideos.org/icts-tifr/30038}}
          }
Sudeshna Bhattacharjee
Talk numberICTS:30038
Source RepositoryICTS-TIFR
Source EventDiscrete integrable systems: difference equations, cluster algebras and probabi…
Collection

Abstract

Airy_1 and Airy_2 processes are stationary stochastic processes on the real line that arise in various contexts in integrable probability. In particular, they are obtained as scaling limits of passage time profiles in planar exponential last passage percolation (LPP) models with different initial conditions. In this talk, we shall present law of fractional logarithms with optimal constants for maxima and minima of Airy processes over growing intervals, extending and complementing the work of Pu. We draw upon the recently established sharp tail estimates for various passage times in exponential LPP by Baslingker et al., as well as geometric properties of exponential LPP landscape. The talk is based on a recent work with Riddhipratim Basu
(https://doi.org/10.48550/arXiv.2406.11826).