Percolation and Random Walks

2015/11/05 by Achillefs Tzioufas, Tzioufas, Achillefs
Mathematics · Computer Science · Physics and Astronomy · #Mathematical Dynamics and Fractals #Cellular Automata and Applications #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1511.01813

Abstract

The fourfold research proposal regards in particular: critical oriented percolation; random walk limit laws; neural networks with long-range connections; the ant in a labyrinth.

Related

• Percolation theory
• The ant on loops: Alexander-Orbach conjecture for the critical level set of the Gaussian free field
• Scaling limit for the ant in high-dimensional labyrinths
• Activated random walk on the comb
• Notes on oriented percolation