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math.MG2022★ 2 cited
Degrees of maps and multiscale geometry
Aleksandr Berdnikov, Larry Guth, Fedor Manin
We study the degree of an -Lipschitz map between Riemannian manifolds, proving new upper bounds and constructing new examples. For instance, if is the connected sum of …
math.MG2020★ 1 cited
Filling random cycles
Fedor Manin
We compute the asymptotic behavior of the average-case filling volume for certain models of random Lipschitz cycles in the unit cube and sphere. For example, we estimate the minima…