96 citations · 202 across the 26 of their papers we have counts for
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Hybrid Master Equation for Jump-Diffusion Approximation of Biomolecular Reaction Networks
Derya Altıntan, Heinz Koeppl
Cellular reactions have multi-scale nature in the sense that the abundance of molecular species and the magnitude of reaction rates can vary in a wide range. This diversity leads t…
Bounds on the spectral radius of real-valued non-negative Kernels on measurable spaces
Wasiur R. KhudaBukhsh, Mark Sinzger, Heinz Koeppl
In this short technical note, we extend a recently published result [Liao2017] on the Perron root (or the spectral radius) of non-negative matrices to real-valued non-negative kern…
Approximate lumpability for Markovian agent-based models using local symmetries
Wasiur R. KhudaBukhsh, Arnab Auddy, Yann Disser +1
We study a Markovian agent-based model (MABM) in this paper. Each agent is endowed with a local state that changes over time as the agent interacts with its neighbours. The neighbo…
Uniform moment bounds of multi-dimensional functions of discrete-time stochastic processes
Arnab Ganguly, Debasish Chatterjee, John Lygeros +1
We establish conditions for uniform -th moment bound of certain -valued functions of a discrete-time stochastic process taking values in a general metric space. The condit…