Preprints

Improved upper bounds in the moving sofa problem

(show abstract)

A linear-time algorithm for the maximum-area inscribed triangle in a convex polygon

(show abstract)

pdf1706.03049

Locally optimal 2-periodic sphere packings

(show abstract)

pdf1704.08156

On the records

(show abstract)

pdf1705.04353

Paradoxes in Leaky Microbial Trade

(show abstract)

pdf1612.03125

Dynamics of beneficial epidemics

(show abstract)

pdf1604.02096

Published

Free energy of singular sticky-sphere clusters

(show abstract)

pdfPhysical Review E 95, 022130 (2017)

pdf1605.08678 pdf10.1103/PhysRevE.95.022130

The random packing density of nearly spherical particles

(show abstract)

pdfSoft Matter, 12, 4123–4128 (2016)

pdf1508.05398 pdf10.1039/C6SM00213G

The local optimality of the double lattice packing

(show abstract)

pdfDiscrete Comput Geom 56: 449 (2016)

pdf1509.02241 pdf10.1007/s00454-016-9792-4

Scaling collapse at the jamming transition

(show abstract)

pdfPhysical Review E 93, 012902 (2016)

pdf1507.02325 pdf10.1103/PhysRevE.93.012902

When is the ball a local pessimum for covering?

(show abstract)

pdfDiscrete and Computational Geometry 54, 232–245 (2015)

pdf1301.5895 pdf10.1007/s00454-015-9690-1

Pessimal packing shapes

Y. Kallus (show abstract)

pdfGeometry & Topology 19, 343 (2015)

pdf1305.0289 doi10.2140/gt.2015.19.343

Marginal stability in jammed packings: quasicontacts and weak contacts

(show abstract)

pdfPhysical Review E 90, 022114 (2014)

pdf1405.2087 doi10.1103/PhysRevE.90.022114

The 3-ball is a local pessimum for packing

Y. Kallus (show abstract)

pdfAdvances in Mathematics 264:355 (2014)

pdf1212.2551 doi10.1016/j.aim.2014.07.015

Jammed lattice sphere packings

Y. Kallus, É. Marcotte, and S. Torquato (show abstract)

pdfPhysical Review E 88, 062151 (2013)

pdf1310.5971 doi10.1103/PhysRevE.88.062151

Inextensible domains

Y. Kallus (show abstract)

pdfGeometriae Dedicata 173, 177 (2014)

pdf1301.5880 doi10.1007/s10711-013-9935-1

Statistical mechanics of the lattice sphere packing problem

Y. Kallus (show abstract)

pdfPhysical Review E 87 063307 (2013).

pdf1305.1310 doi10.1103/PhysRevE.87.063307

Dense-packing crystal structures of physical tetrahedra

Y. Kallus and V. Elser (show abstract)

pdfPhysical Review E 83, 036703 (2011)

pdf1011.4034 doi10.1103/PhysRevE.83.036703

Upper bound on the packing density of regular tetrahedra and octahedra

S. Gravel, V. Elser, and Y. Kallus (show abstract)

pdfDiscrete and Computational Geometry 46, 799 (2011)

pdf1008.2830 doi10.1007/s00454-010-9304-x

Method for dense packing discovery

Y. Kallus, V. Elser, and S. Gravel (show abstract)

pdfPhysical Review E 82, 056707 (2010)

pdf1003.3301 doi10.1103/PhysRevE.82.056707

Dense periodic packings of tetrahedra with small repeating units

Y. Kallus, V. Elser, and S. Gravel (show abstract)

pdfDiscrete and Computational Geometry 44, 245 (2010)

pdf0910.5226 doi10.1007/s00454-010-9254-3