3 papers
math.CO2025
Connectedness in weighted consensus division of graphical cakes between two agents
Josef Hanke, Ana Rita Pires
Austin's moving knife procedure was originally introduced to find a consensus division of an interval/circular cake between two agents, each of whom believes that they receive exac…
math.SG2025
A classification of infinite staircases for Hirzebruch surfaces
Nicki Magill, Ana Rita Pires, Morgan Weiler
The ellipsoid embedding function of a symplectic manifold gives the smallest amount by which the symplectic form must be scaled in order for a standard ellipsoid of the given eccen…
math.SG2024
On infinite staircases in toric symplectic four-manifolds
Dan Cristofaro-Gardiner, Tara S. Holm, Alessia Mandini +1
An influential result of McDuff and Schlenk asserts that the function that encodes when a four-dimensional symplectic ellipsoid can be embedded into a four-dimensional ball has a r…