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Katy Craig
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A blob method for diffusion
JA Carrillo, K Craig, FS Patacchini
Calculus of Variations and Partial Differential Equations 58, 1-53, 2019
1472019
Aggregation-diffusion equations: dynamics, asymptotics, and singular limits
JA Carrillo, K Craig, Y Yao
Active Particles, Volume 2: Advances in Theory, Models, and Applications, 65-108, 2019
912019
A blob method for the aggregation equation
K Craig, A Bertozzi
Mathematics of computation 85 (300), 1681-1717, 2016
862016
Primal dual methods for Wasserstein gradient flows
JA Carrillo, K Craig, L Wang, C Wei
Foundations of Computational Mathematics, 1-55, 2022
712022
Congested aggregation via Newtonian interaction
K Craig, I Kim, Y Yao
Archive for Rational Mechanics and Analysis 227, 1-67, 2018
382018
Linearized optimal transport for collider events
T Cai, J Cheng, N Craig, K Craig
Physical Review D 102 (11), 116019, 2020
362020
Nonconvex gradient flow in the Wasserstein metric and applications to constrained nonlocal interactions
K Craig
Proceedings of the London Mathematical Society 114 (1), 60-102, 2017
302017
Aggregation-diffusion to constrained interaction: minimizers & gradient flows in the slow diffusion limit
K Craig, I Topaloglu
Annales de l'Institut Henri Poincaré C 37 (2), 239-279, 2020
222020
Which metric on the space of collider events?
T Cai, J Cheng, K Craig, N Craig
Physical Review D 105 (7), 076003, 2022
212022
The exponential formula for the Wasserstein Metric
K Craig
ESAIM Control, Optimisation, and Calculus of Variations 48 (1), 169-187, 2016
202016
Convergence of regularized nonlocal interaction energies
K Craig, I Topaloglu
SIAM Journal on Mathematical Analysis 48 (1), 34-60, 2016
182016
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling
K Craig, K Elamvazhuthi, M Haberland, O Turanova
Mathematics of Computation 92 (344), 2575-2654, 2023
132023
A proximal-gradient algorithm for crystal surface evolution
K Craig, JG Liu, J Lu, JL Marzuola, L Wang
Numerische Mathematik 152 (3), 631-662, 2022
72022
Clustering dynamics on graphs: from spectral clustering to mean shift through Fokker–Planck interpolation
K Craig, N GarciaTrillos, D Slepčev
Active Particles, Volume 3: Advances in Theory, Models, and Applications …, 2021
52021
Contraction of the proximal map and generalized convexity of the Moreau–Yosida regularization in the 2-Wasserstein metric
E Carlen, K Craig
Mathematics and mechanics of complex systems 1 (1), 33-65, 2013
42013
Nonlocal approximation of slow and fast diffusion
K Craig, M Jacobs, O Turanova
arXiv preprint arXiv:2312.11438, 2023
22023
A Blob Method for Mean Field Control With Terminal Constraints
K Craig, K Elamvazhuthi, H Lee
arXiv preprint arXiv:2402.10124, 2024
2024
Wasserstein Archetypal Analysis
K Craig, B Osting, D Wang, Y Xu
arXiv preprint arXiv:2210.14298, 2022
2022
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