Hydrodynamical Methods in Last Passage Percolation Models
Eric Cator, Leandro P.R. Pimentel
TL;DR
This paper introduces hydrodynamical methods applied to last passage percolation models, providing a comprehensive reference for advanced mathematical techniques used in analyzing these stochastic processes.
Contribution
It offers a detailed overview of hydrodynamical approaches in last passage percolation, bridging theory and applications in a pedagogical manner.
Findings
Hydrodynamical methods elucidate the behavior of last passage percolation models.
The notes serve as a foundational reference for researchers and students.
Connections between hydrodynamics and stochastic growth are highlighted.
Abstract
These lecture notes are written as reference material for the Advanced Course "Hydrodynamical Methods in Last Passage Percolation Models", given at the 28th Coloquio Brasileiro de Matematica at IMPA, Rio de Janeiro, July 2011.
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Taxonomy
TopicsRandom Matrices and Applications · Stochastic processes and statistical mechanics · Theoretical and Computational Physics