4 papers
math.PR2026
Growth scales and uniform integrability of branching processes in varying environments
Tejas Iyer
We derive necessary and sufficient conditions for a sequence of constants to be a growth scale of a branching process in (possibly defective) varying…
math.PR2026
A counter-example to persistence in generalised preferential attachment trees
Tejas Iyer
Consider a generalised preferential attachment tree with attachment function , that is a random tree, where at each time-step a node connects to an existing node with probab…
math.PR2025
Permutations in competing growth processes and balls-in-bins
Johannes Bäumler, Tejas Iyer
Consider a model of independent, increasing -valued processes, with random, independent waiting times between jumps. It is known that there is either an emergent…
math.PR2024
Fixation of leadership in non-Markovian growth processes
Tejas Iyer
Consider a model where equal agents possess `values', belonging to , that are subject to incremental growth over time. More precisely, the values of the agents ar…