2 problems

Newhouse lamination conjecture. Every $d$-dimensional unfolding of a map with a strong homoclinic tangency contains a codimension $2$ Newhouse lamination with Hausdorff dimension…

Turaev's conjecture. There is a Newhouse region $C^r$-close to a homoclinic tangency if and only if that tangency is not volume-hyperbolic.