13 citations · 39 across the 18 of their papers we have counts for
4 papers · 1 filter
Maximal monotonicity and cyclic involutivity of multi-conjugate convex functions
Tongseok Lim
A cornerstone in convex analysis is the crucial relationship between functions and their convex conjugate via the Fenchel-Young inequality. In this dual variable setting, the maxim…
Classifying minimum energy states for interacting particles: Spherical Shells
Cameron Davies, Tongseok Lim, Robert J. McCann
Particles interacting through long-range attraction and short-range repulsion given by power-laws have been widely used to model physical and biological systems, and to predict or…
Axiomatic and Probabilistic Foundations for the Hodge-Theoretic Shapley Value
Tongseok Lim
This paper establishes a complete theoretical foundation for the Hodge-theoretic extension of the Shapley value introduced by Stern and Tettenhorst (2019). We show that a set of fi…
Optimal martingale transport between radially symmetric marginals in general dimensions
Tongseok Lim
We determine the optimal structure of couplings for the \emph{Martingale transport problem} between radially symmetric initial and terminal laws on and show the uniqu…