3 problems

Suppose the normalized pair of invariants for a random Petaluma knot is … where $c_2$ is the Casson invariant and $v_3$ is the third-order finite type invariant. Petaluma full-supp…

Let $K_{2n+1}$ be a random knot in the Petaluma model, and let $v_m$ be a finite type invariant of order $m$. Petaluma finite-type scaling conjecture. The normalized invariant … we…

Let $K_{2n+1}$ be the random knot generated by a uniformly random permutation in the Petaluma model, and fix a knot $K$. Petaluma individual-knot conjecture. The probability … deca…