Transversal fluctuations for a first passage percolation model

Yuri Bakhtin; Wei Wu

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arXiv · 1605.05965

Transversal fluctuations for a first passage percolation model

Yuri Bakhtin·Wei Wu

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Abstract

We introduce a new first passage percolation model in a Poissonian environment on $\mathbb{R}^{2}$. In this model, the action of a path depends on the geometry of the path and the travel time. We prove that the transversal fluctuation exponent for point-to-line action minimizers is at least $3/5$.

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Yuri Bakhtin, Wei Wu. 2016-05-19. Transversal fluctuations for a first passage percolation model. https://arxiv.org/abs/1605.05965

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