1 citations · 1 across the 6 of their papers we have counts for
12 papers
The longest increasing subsequence of Brownian separable permutons
Arka Adhikari, Jacopo Borga, Thomas Budzinski +2
We establish a scaling limit result for the length of the longest increasing subsequence of a permutation of size sampled from the Brownian sepa…
The height of the infection tree
Emmanuel Kammerer, Igor Kortchemski, Delphin Sénizergues
We are interested in the geometry of the ``infection tree'' in a stochastic SIR (Susceptible-Infectious-Recovered) model, starting with a single infectious individual. This tree is…
Total disconnectedness and percolation for the supports of super-tree random measures
Edwin Perkins, Delphin Sénizergues
Super-tree random measures (STRMs) were introduced by Allouba, Durrett, Hawkes and Perkins as a simple stochastic model which emulates a superprocess at a fixed time. A STRM ar…
The scaling limit of the root component in the Wired Minimal Spanning Forest of the Poisson Weighted Infinite Tree
Omer Angel, Delphin Sénizergues
In this paper we prove a scaling limit result for the component of the root in the Wired Minimal Spanning Forest (WMSF) of the Poisson-Weighted Infinite Tree (PWIT), where the latt…
Maximum Agreement Subtrees and Hölder homeomorphisms between Brownian trees
Thomas Budzinski, Delphin Sénizergues
We prove that the size of the largest common subtree between two uniform, independent, leaf-labelled random binary trees of size is typically less than fo…
Decorated stable trees
Delphin Sénizergues, Sigurdur Örn Stefánsson, Benedikt Stufler
We define decorated -stable trees which are informally obtained from an -stable tree by blowing up its branchpoints into random metric spaces. This generalizes the -stable…