Rustum Choksi · McGill University

Publications

Research articles, organized thematically.

Periodic microstructures in diblock copolymers
Level set of minimizers of the Ohta-Kawasaki Functional
SIAM J. Appl. Math. (2009)
Liquid drop model phase diagram
Gamow's Liquid Drop Model
Notices AMS (2017)

Cahn-Hilliard and Isoperimetric Problems with Long-Range Interactions: Self-Assembly of Diblock Copolymers and Liquid Drop Models

Figure 1: Centroidal Voronoi tessellations on torus and sphere
Discr. & Comput. Geom. (2026)
Royal Society Open Science cover: collective behavior
Voronoi Topological Perception
R. Soc. Open Sci. (2024)

Voronoi Tessellations, Optimal Quantization, Generalizations, and Applications

Maximum Entropy Blurred input Deblurred output
Blind Deblurring of a QR barcode
IEEE Trans. Pattern Anal. Mach. Intell. (2021)
MEM digit reconstruction, Fig. 4
Data-Driven MEM applied to Street View House Numbers (SVHN) dataset.
arXiv:2608.27705 (2026)

Inverse Problems, Variational Approaches to Image Processing, and the Principle of Maximum Entropy

Fig. 10: (10,0)-zigzag carbon nanotube with D2-symmetric caps
Fig. 10. A numerically validated local energy minimizer for a (10,0)-zigzag nanotube with D2-symmetric caps — Ayala, Choksi & Wirth, Multiscale Model. Simul. 24(3), 1399–1425 (2026)
3D particle simulations of nonlocal interaction energy minimizers
3D particle simulations of nonlocal interaction energy minimizers.
Nonlinear Analysis 198 (2020)

Nonlocal Interaction Functionals and Bond Potentials

PFC grain boundary detail
Fig. 4. Detail of a PFC grain boundary: extracted atomic positions in black and Voronoi boundary region atoms in blue — La Boissonière & Choksi, Modelling Simul. Mater. Sci. Eng. 26, 035001 (2018)
PFC steady state connection diagram
Fig. 3. Connection diagram and energy landscape for steady states of the 2D phase-field-crystal model — Martine-La Boissonière, Choksi & Lessard, Nonlinearity 35, 1500–1520 (2022)

Grain Growth: Imaging, Statistics and the Phase Field Crystal Model

Anisotropic Surface Tensions and Homogenization

Axisymmetric surfaces generated by curves in G0 and G1
Fig. 2. Axisymmetric surfaces generated by curves in (G0) and (G1) — Choksi & Veneroni, Calc. Var. Partial Differential Equations, Springer-Verlag (2012)

Variational Problems Associated with the Shape of Biological Membranes

Schematic flux domain structures in a Type-I superconductor
Fig. 2. Unbranched (a) and branched (b) layered flux domain structures — Choksi, Kohn & Otto, J. Nonlinear Sci. 14, 119–171 (2004)

Type I Superconductors and Ferromagnets: Scaling Laws and Branching of Domain Structures

Continuum Mechanics, Geometric Measure Theory, and Conservation Laws

Other