4 problems

In the discrete Bak–Sneppen model on a circumference with $N\ge 3$ sites, each site $i\in[N]=\{1,2,\dots,N\}$ has a fitness value $\eta_i(t)\in[0,1]$ at time $t$, and at each step…

Bak-Sneppen stationary-density conjecture. There exists a function $\nu(p)=\lim_{n\to\infty}\nu^{(n)}(p)\in[0,1]$ that is monotone increasing on $[0,1]$. Moreover, there exists…

Consider the Bak-Sneppen model with finitely many species arranged on a circle, whose fitness values evolve by replacing the minimum-fitness species and its two neighbours with ind…

For each number of species $n$, let $\alpha_{n,k,\sigma,\boldsymbol{i}}$ denote the corresponding coefficient indexed by time $k$, permutation $\sigma$, and multi-index…