12 citations · 19 across the 7 of their papers we have counts for
8 papers
The Q-process for the general mother-dependent multitype branching process
Airam Blancas, María Clara Fittipaldi, Saraí Hernández-Torres
The general mother-dependent neutral mutations model is a multitype branching process describing a population evolving in discrete time, in which mutations occur among a finite set…
Scaling limits for allelic subfamilies in a mother-dependent multitype branching process
Airam Blancas, Maria Clara Fittipaldi, Sarai Hernandez-Torres
The mother-dependent neutral mutations model describes the evolution of a population across discrete generations in which every individual carries one of alleles and each mutan…
Sharp one-point estimates and Minkowski content for the scaling limit of three-dimensional loop-erased random walk
Sarai Hernandez-Torres, Xinyi Li, Daisuke Shiraishi
In this work, we consider the scaling limit of loop-erased random walk (LERW) in three dimensions and prove that the limiting occupation measure is equivalent to its -dimensiona…
Distance-dependent chase-escape on trees
Sarai Hernandez-Torres, Matthew Junge, Naina Ray +1
We give a necessary and sufficient condition for species coexistence in a parasite-host growth process on infinite -ary trees. The novelty of this work is that the spreading and…
The chemical distance in random interlacements in the low-intensity regime
Sarai Hernandez-Torres, Eviatar B. Procaccia, Ron Rosenthal
In with , we consider the time constant associated to the chemical distance in random interlacements at low intensity . We prove an upper boun…
The number of spanning clusters of the uniform spanning tree in three dimensions
Omer Angel, David A. Croydon, Sarai Hernandez-Torres +1
Let be the uniform spanning tree on . A spanning cluster of is a connected component of the restriction of to th…
Scaling limits of the three-dimensional uniform spanning tree and associated random walk
Omer Angel, David A. Croydon, Sarai Hernandez-Torres +1
We show that the law of the three-dimensional uniform spanning tree (UST) is tight under rescaling in a space whose elements are measured, rooted real trees, continuously embedded…
Chase-escape with death on trees
Erin Beckman, Keisha Cook, Nicole Eikmeier +2
Chase-escape is a competitive growth process in which red particles spread to adjacent uncolored sites, while blue particles overtake adjacent red particles. We introduce the varia…