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Almost-sure scaling conjecture for Betti numbers in the Eden model
Let $\beta_i(t)$ be the $i$ th Betti number of the $d$ -dimensional Eden growth model at time $t$ , with $1\leq i\leq d-1$ . Almost-sure scaling conjecture. There exists a constant…
openalgebraic-topology eden-model random-growth
06
Outer-perimeter proportion conjecture for high-dimensional Eden models
Outer-perimeter proportion conjecture. There exists a number $\operatorname{per}_d>0$ such that
openeden-model stochastic-growth
06

Almost-sure scaling conjecture for Betti numbers in the Eden model