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math.AP2022
Isoperimetric planar clusters with infinitely many regions
Matteo Novaga, Emanuele Paolini, Eugene Stepanov +1
An infinite cluster in is a sequence of disjoint measurable sets , , called regions of the cluster. Given the volu…
math.DS2022
Constructive controllability for incompressible vector fields
Sergey Kryzhevich, Eugene Stepanov
We give a constructive proof of a global controllability result for an autonomous system of ODEs guided by bounded locally Lipschitz and divergence free (i.e.\ incompressible) vect…