3 papers
math.CO2026
Gaussian Vertex-Face Balance in Random Convex Polyhedra with Fixed Edge Count
Lachlan Bridges
Choose uniformly among the combinatorial types of convex three-dimensional polyhedra with a fixed admissible number of edges, and let be the number of vertices. This reso…
quant-ph2026
An exact Jordan signature in cumulative-count first-passage statistics
Lachlan Bridges
For cumulative-count first-passage problems, the Laplace transform of the time of the th count is naturally expressed through powers of a one-count kernel. A Jord…
cs.DS2026
Single-Machine Scheduling with Interval Predictions and Costly Preemption
Lachlan Bridges
We study the single-machine total-completion-time problem when processing times are unknown but each job comes with a reported interval. Jobs are initially processed…