6 problems

Uniqueness and convergence conjecture. Under mild conditions, for every $q\in[0,1]$ and every $m$, there is a unique nontrivial fixed point, and an initial distribution converges t…

Let $R$ denote the size of the chromosome observation frame and $N$ the population size. The strong recombination regime is obtained in the cited Moran-model scaling with…

Let $s(p_A)$ be the global steepness measure of the allele-frequency cline at locus $A$, and let $\rho$ be the recombination rate. Steepness monotonicity conjecture. The quantity…

Finite-generation conjecture. Every polynomial identity satisfied by $n$-ary intermolecular recombination, with no restriction on the degree, is a consequence of complete symmetry…

Degree-$3n-2$ consequence conjecture. Every polynomial identity satisfied by $n$-ary intermolecular recombination in degree $3n-2$ is a consequence of complete symmetry in degree…

Degree-$2n-1$ consequence conjecture. Every polynomial identity satisfied by $n$-ary intermolecular recombination in degree $2n-1$ is a consequence of complete symmetry in degree…