3 problems
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The density conjecture for activated random walk
Let be the critical density of the fixed-energy activated random walk on , depending on the dimension and sleep rate , and let…
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Dickman et al.'s density conjecture for driven-dissipative and fixed-energy sandpiles
Let be the limiting density of the driven-dissipative abelian sandpile model on increasingly large finite boxes, and let be the critical…
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Janssen–Grassberger conjecture for directed percolation universality
Janssen–Grassberger conjecture. The transition generically belongs to the directed percolation universality class if: (a) it is to a unique absorbing state from a fluctuating activ…