C. D. Graham
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View article: ICI Project: Individual-based epidemic propagation simulator based on a Digital Twin
ICI Project: Individual-based epidemic propagation simulator based on a Digital Twin Open
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View article: Perfect simulation of Markovian load balancing queueing networks in equilibrium
Perfect simulation of Markovian load balancing queueing networks in equilibrium Open
We define a wide class of Markovian load balancing networks of identical single-server infinite-buffer queues. These networks may implement classic parallel server or work stealing load balancing policies, and may be asymmetric, for instan…
View article: Regenerative properties of the linear Hawkes process with unbounded memory
Regenerative properties of the linear Hawkes process with unbounded memory Open
We prove regenerative properties for the linear Hawkes process under minimal\nassumptions on the transfer function, which may have unbounded support. These\nresults are applicable to sliding window statistical estimators. We exploit\nindep…
View article: Availability of the Molecular Switch XylR Controls Phenotypic Heterogeneity and Lag Duration during Escherichia coli Adaptation from Glucose to Xylose
Availability of the Molecular Switch XylR Controls Phenotypic Heterogeneity and Lag Duration during Escherichia coli Adaptation from Glucose to Xylose Open
For decades, it was thought that the lags observed when microorganisms switch from one substrate to another are inherent to the time required to adapt the molecular machinery to the new substrate. Here, the lag duration was found to be the…
View article: Renewal in Hawkes processes with self-excitation and inhibition
Renewal in Hawkes processes with self-excitation and inhibition Open
We investigate the Hawkes processes on the positive real line exhibiting both self-excitation and inhibition. Each point of such a point process impacts its future intensity by the addition of a signed reproduction function. The case of a …
View article: Bacterial Metabolic Heterogeneity: from Stochastic to Deterministic\n Models
Bacterial Metabolic Heterogeneity: from Stochastic to Deterministic\n Models Open
We revisit the modeling of the diauxic growth of a pure microorganism on two\ndistinct sugars which was first described by Monod. Most available models are\ndeterministic and make the assumption that all cells of the microbial ecosystem\nb…
View article: Bacterial metabolic heterogeneity: From stochastic to deterministic models
Bacterial metabolic heterogeneity: From stochastic to deterministic models Open
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 the assumption that all cells of the microbial ecosystem beha…
View article: Cache Miss Estimation for Non-Stationary Request Processes
Cache Miss Estimation for Non-Stationary Request Processes Open
The goal 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 process. First, we construct a probability space using Pal…