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math.SP2018
Eigenfunctions with infinitely many isolated critical points
Lev Buhovsky, Alexander Logunov, Mikhail Sodin
We construct a Riemannian metric on the -dimensional torus, such that for infinitely many eigenvalues of the Laplace-Beltrami operator, a corresponding eigenfunction has infin…
cs.DS2018
Collapsing Superstring Conjecture
Alexander Golovnev, Alexander S. Kulikov, Alexander Logunov +2
In the Shortest Common Superstring (SCS) problem, one is given a collection of strings, and needs to find a shortest string containing each of them as a substring. SCS admits $2\fr…