48 citations · 104 across the 13 of their papers we have counts for
14 papers
Bacterial Metabolic Heterogeneity: from Stochastic to Deterministic Models
Carl Graham, Jérôme Harmand, Sylvie Méléard +1
We revisit the modeling of the diauxic growth of a pure microorganism on two distinct sugars which was first described by Monod. Most available models are deterministic and make th…
Regenerative properties of the linear hawkes process with unbounded memory
Carl Graham
We prove regenerative properties for the linear Hawkes process under minimal assumptions on the transfer function, which may have unbounded support. These results are applicable to…
Renewal in Hawkes processes with self-excitation and inhibition
Manon Costa, Carl Graham, Laurence Marsalle +1
This paper investigates Hawkes processes on the positive real line exhibiting both self-excitation and inhibition. Each point of this point process impacts its future intensity by…
Cache Miss Estimation for Non-Stationary Request Processes
Felipe Olmos, Carl Graham, Alain Simonian
The aim of the paper is to evaluate the miss probability of a Least Recently Used (LRU) cache, when it is offered a non-stationary request process given by a Poisson cluster point…
Self-adaptive congestion control for multi-class intermittent connections in a communication network
Carl Graham, Philippe Robert
A Markovian model of the evolution of intermittent connections of various classes in a communication network is established and investigated. Any connection evolves in a way which…
The Bounded Confidence Model Of Opinion Dynamics
Javier Gómez-Serrano, Carl Graham, Jean-Yves Le Boudec
The bounded confidence model of opinion dynamics, introduced by Deffuant et al, is a stochastic model for the evolution of continuous-valued opinions within a finite group of peers…