R. McCann

activity

19932023

most citedContinuity and injectivity of optimal maps for non-negatively cross-curved costs

67 citations · 313 across the 39 of their papers we have counts for

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math.MG2020

On the cardinality of sets in $R^{d}$ obeying a slightly obtuse angle bound

Tongseok Lim, Robert J. McCann

In this paper we explicitly estimate the number of points in a subset $A \subset R^{d}$ as a function of the maximum angle $∠ A$ that any three of these points form, provided…

math.MG2020

Maximizing expected powers of the angle between pairs of points in projective space

Tongseok Lim, Robert J. McCann

Among probability measures on $d$ -dimensional real projective space, one which maximizes the expected angle $arccos (\frac{x}{∣ x ∣} \cdot \frac{y}{∣ y ∣})$ between independently drawn…

math.MG2020★ 2 cited

On Fejes Tóth's conjectured maximizer for the sum of angles between lines

Tongseok Lim, Robert J. McCann

Choose $N$ unoriented lines through the origin of $R^{d + 1}$ . The sum of the angles between these lines is conjectured to be maximized if the lines are distributed as evenly a…

On the cardinality of sets in Rd obeying a slightly obtuse angle bound

Maximizing expected powers of the angle between pairs of points in projective space

On Fejes Tóth's conjectured maximizer for the sum of angles between lines

On the cardinality of sets in $R^{d}$ obeying a slightly obtuse angle bound