7 citations · 8 across the 3 of their papers we have counts for
3 papers
math.PR2026
Multitype PCR branching processes
P. Chigansky, F. Klebaner, M. Mrksa +1
To model amplification Polymerase Chain Reaction (PCR) techniques targeting DNA sequences of several types, we introduce a multitype PCR branching process as a generalized version…
math.PR2023★ 1 cited
An approximation of populations on a habitat with large carrying capacity
N. Bauman, P. Chigansky, F. Klebaner
We consider stochastic dynamics of a population which starts from a small colony on a habitat with large but limited carrying capacity. A common heuristics suggests that such popul…
math.PR2018★ 7 cited
Persistence of Small Noise and Random initial conditions
J. Baker, P. Chigansky, K. Hamza +1
The effect of small noise in a smooth dynamical system is negligible on any finite time interval. Here we study situations when it persists on intervals increasing to infinity. Suc…