TPS Tuesday May 20, 4:10pm-5:00pm, Bahen 6183

[Benjamin Landon]

Hi all,

We will have a talk on Tuesday May 20, 4:10pm-5:00pm in Bahen 6183

Speaker: Pranay Agarwal

Title: Large deviation principle for last passage percolation model

Abstract: In last passage models, the passage time from (0,0) to (n,n) are known to be on the scale of n and fluctuations on this scale are referred to as large deviations. Existence of a large deviation principle (LDP) for such fluctuations at a speed of n^{-1} follow from the subadditive ergodic theorem. The passage times follow some version of the triangle inequality and thus can be thought of as a generalized metric. Thus, it is natural to ask if the point-to-point LDP can be used to formulate a LDP at the metric level. We answer this in the affirmative and go over some techniques and properties that could enable such an analysis. We shall also show a LDP for geodesics in this model using the metric level LDP.

[Balint Virag]

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