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math.CA2020
Quantitative Stability for the Heisenberg-Pauli-Weyl inequality
Sean McCurdy, Raghavendra Venkatraman
We prove a quantitative stability result for the Heisenberg-Pauli-Weyl inequality. This yields next and next-to-next order correction terms, sharpening the inequality in all dimens…
math.CA2020
Subsets of rectifiable curves in Banach spaces I: sharp exponents in traveling salesman theorems
Matthew Badger, Sean McCurdy
The Analyst's Traveling Salesman Problem is to find a characterization of subsets of rectifiable curves in a metric space. This problem was introduced and solved in the plane by Jo…