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math.DG2018★ 2 cited
A transport theorem for nonconvecting open sets on an embedded manifold
Brian Seguin
Most transport theorems---that is, a formula for the rate of change of an integral in which both the integrand and domain of integration depend on time---involve domains that evolv…
math.DG2018
A fractional notion of length and an associated nonlocal curvature
Brian Seguin
Here a new notion of fractional length of a smooth curve, which depends on a parameter , is introduced that is analogous to the fractional perimeter functional of sets that has…