2 problems

Champagnat–Bovier's dimorphic-state conjecture. As $(K,\mu_K,\sigma_K)\to(+\infty,0,0)$,

Champagnat–Bovier's fast-branching conjecture. If $\partial_{22}f(x^*,x^*)>\partial_{11}f(x^*,x^*)>0$, then there is fast evolutionary branching: for some $\varepsilon_0>0$, every…