3 problems

Non-trivial interlacement conjecture. For every sufficiently large particle density, the minimizing point process cannot contain loops only; it must have a non-trivial interlacemen…

Interlacement-particle conjecture. The interlacement particles directly relate to, and possibly are equal to, the particles in the condensate.

Let $M$ be a closed manifold of dimension $d$, let $V$ be the potential defining the invariant measure $mu$ for the diffusion generator, and let $p$ be the Wasserstein exponent. Fo…