2 papers
math.CA2024
Buffon Needle Problem Over Convex Sets
M. Dannenberg, W. Hagerstrom, G. Hart +4
We solve a variant of the classical Buffon Needle problem. More specifically, we inspect the probability that a randomly oriented needle of length originating in a bounded conv…
math.GM2016
The isoperimetric problem in the plane with the sum of two Gaussian densities
John Berry, Matthew Dannenberg, Jason Liang +1
We consider the isoperimetric problem for the sum of two Gaussian densities in the line and the plane. We prove that the double Gaussian isoperimetric regions in the line are rays…