20 citations · 44 across the 24 of their papers we have counts for
6 papers · 1 filter
Non-bijective scaling limits and phase transitions of planar maps
Benedikt Stufler
We prove that the uniform random non-separable planar map with edges admits the Brownian sphere as Gromov--Hausdorff--Prokhorov scaling limit as tends to infinity. Our proo…
Limit laws of random simplex tree-child networks
Víctor J. Maciá, Benedikt Stufler
We prove that the longer and shorter Sackin indices of a uniformly random simplex tree-child network with taxa admit joint distributional limits after rescaling by .…
Linear time sampling of Pólya trees
Benedikt Stufler
We present an algorithm for exact-size sampling of uniformly random Pólya trees with linear expected runtime.
Asymptotic enumeration of unlabelled cubic planar graphs
Benedikt Stufler
We determine the precise asymptotic number of unlabelled cubic planar graphs with vertices. Our approach blends generating series methods with computational bounds and probabil…
Uniform integrability of the distance to the nearest leaf in random trees
Víctor J. Maciá, Benedikt Stufler
We study the distance from the root to the nearest leaf, the analogous quantity for a uniformly chosen vertex, and its protection number, in size-conditioned simply generated trees…
Poisson-Dirichlet graphons and permutons
Benedikt Stufler
We introduce classes of supergraphs and superpermutations with novel universal graphon and permuton limiting objects whose construction involves the two-parameter Poisson-Dirichlet…