2 papers
math.PR2007
Limit laws for k-coverage of paths by a Markov-Poisson-Boolean model
Srikanth K. Iyer, D. Manjunath, D. Yogeshwaran
Let P := {X_i,i >= 1} be a stationary Poisson point process in R^d, {C_i,i >= 1} be a sequence of i.i.d. random sets in R^d, and {Y_i^t; t \geq 0, i >= 1} be i.i.d. {0,1}-valued co…
math.PR2007
Critical Age Dependent Branching Markov Processes and Their Scaling Limits
Krishna Athreya, Siva Athreya, Srikanth Iyer
This paper studies: (i) the long time behaviour of the empirical distribution of age and normalised position of an age dependent critical branching Markov process conditioned on no…