57 citations · 131 across the 14 of their papers we have counts for
20 papers
Computable sufficient conditions for comparing stochastic reaction networks with mass-action or monotone kinetics
Daniele Cappelletti, Giulio Cuniberti, Paola Siri
Stochastic reaction networks are mathematical models with a wide range of applications in biochemistry, ecology, and epidemiology, and are often complex to analyze. Except for some…
Stability of randomly switching stochastic reaction networks with asymptotically linear transition rates
Daniele Cappelletti, Aidan Howells, Chuang Xu
Stochastic reaction networks are mathematical models frequently used in, but not limited to, biochemistry. These models are continuous-time Markov chains whose transition rates dep…
A new path method for exponential ergodicity of Markov processes on , with applications to stochastic reaction networks
David F. Anderson, Daniele Cappelletti, Wai-Tong Louis Fan +1
This paper provides a new path method that can be used to determine when an ergodic continuous-time Markov chain on converges exponentially fast to its stationary dis…
Transition graph decomposition for complex balanced reaction networks with non-mass-action kinetics
Daniele Cappelletti, Badal Joshi
Reaction networks are widely used models to describe biochemical processes. Stochastic fluctuations in the counts of biological macromolecules have amplified consequences due to th…
Individual molecules dynamics in reaction network models
Daniele Cappelletti, Grzegorz A. Rempala
In a stochastic reaction network setting we consider the problem of tracking the fate of individual molecules. We show that using the classical large volume limit results, we may a…
Private Attacks in Longest Chain Proof-of-stake Protocols with Single Secret Leader Elections
Sarah Azouvi, Daniele Cappelletti
Single Secret Leader Elections have recently been proposed as an improved leader election mechanism for proof-of-stake (PoS) blockchains. However, the security gain they provide ha…