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math.PR2024
The density conjecture for activated random walk
Christopher Hoffman, Tobias Johnson, Matthew Junge
Bak, Tang, and Wiesenfeld developed their theory of self-organized criticality in the late 1980s to explain why many real-life processes exhibit signs of critical behavior despite…
math.PR2014★ 2 cited
Eigenvalue fluctuations for random regular graphs
Tobias Johnson
One of the major themes of random matrix theory is that many asymptotic properties of traditionally studied distributions of random matrices are universal. We probe the edges of un…