# Modulus of continuity for polymer fluctuations and weight profiles in Poissonian last passage percolation

@article{Hammond2020ModulusOC, title={Modulus of continuity for polymer fluctuations and weight profiles in Poissonian last passage percolation}, author={Alan Hammond and Sourav Sarkar}, journal={Electronic Journal of Probability}, year={2020} }

In last passage percolation models, the energy of a path is maximized over all directed paths with given endpoints in a random environment, and the maximizing paths are called geodesics. The geodesics and their energy can be scaled so that transformed geodesics cross unit distance and have fluctuations and scaled energy of unit order. Here we consider Poissonian last passage percolation, a model lying in the KPZ universality class, and refer to scaled geodesics as polymers and their scaled…

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