49 citations · 298 across the 30 of their papers we have counts for
5 papers · 1 filter
Scaling limits for some random trees constructed inhomogeneously
Nathan Ross, Yuting Wen
We define some new sequences of recursively constructed random combinatorial trees, and show that, after properly rescaling graph distance and equipping the trees with the uniform…
Pólya urns with immigration at random times
Erol Peköz, Adrian Röllin, Nathan Ross
We study the number of white balls in a classical Pólya urn model with the additional feature that, at random times, a black ball is added to the urn. The number of draws between t…
Wireless network signals with moderately correlated shadowing still appear Poisson
Nathan Ross, Dominic Schuhmacher
We consider the point process of signal strengths emitted from transmitters in a wireless network and observed at a fixed position. In our model, transmitters are placed determinis…
Stronger wireless signals appear more Poisson
Paul Keeler, Nathan Ross, Aihua Xia +1
Keeler, Ross and Xia (2016) recently derived approximation and convergence results, which imply that the point process formed from the signal strengths received by an observer in a…
Dirichlet approximation of equilibrium distributions in Cannings models with mutation
H. L. Gan, Adrian Röllin, Nathan Ross
Consider a haploid population of fixed finite size with a finite number of allele types and having Cannings exchangeable genealogy with neutral mutation. The stationary distributio…