S. Sottile

activity

20212024

collaborators

3 papers

math.QA2024

Geometric leaf of symplectic groupoid

E. Brodsky, P. Dangwal, S. Hamlin +5

We consider the symplectic groupoid of pairs $(B, A)$ with $A$ real unipotent upper-triangular matrix and $B \in G L_{n}$ being such that $A ~ = B A B^{T}$ is also a unipotent upper-tri…

cond-mat.soft2022

Defects and Frustration in the Packing of Soft Balls

Kenneth Jao, Keith Promislow, Samuel Sottile

This work introduces the Hookean-Voronoi energy, a minimal model for the packing of soft, deformable balls. This is motivated by recent studies of quasi-periodic equilibria arising…

math.DG2021

Geodesic motion on $SL (n)$ with the Hilbert-Schmidt metric

Audrey Rosevear, Samuel Sottile, Willie WY Wong

We study the geometry of geodesics on $SL (n)$ , equipped with the Hilbert-Schmidt metric which makes it a Riemannian manifold. These geodesics are known to be related to af…

Geometric leaf of symplectic groupoid

Defects and Frustration in the Packing of Soft Balls

Geodesic motion on SL(n) with the Hilbert-Schmidt metric

Geodesic motion on $SL (n)$ with the Hilbert-Schmidt metric