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)


Locally optimal 2-periodic sphere packings

(show abstract)


On the records

(show abstract)


Paradoxes in Leaky Microbial Trade

(show abstract)


Dynamics of beneficial epidemics

(show abstract)



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