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Functional central limit theorems for a large network in which customers join the shortest of several queues

Carl Graham
Probability Theory and Related Fields, 2005, 131 (1), pp.97-120. ⟨10.1007/s00440-004-0372-9⟩
Journal articles hal-00001392v1
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A functional central limit theorem in equilibrium for a large network in which customers join the shortest of several queues

Carl Graham
2004
Preprints, Working Papers, ... hal-00000957v2
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Bacterial Metabolic Heterogeneity: from Stochastic to Deterministic Models

Carl Graham , Jérôme Harmand , Sylvie Méléard , Josué Tchouanti
Mathematical Biosciences and Engineering, 2020, 17 (5), pp.5120-5133. ⟨10.3934/mbe.2020276⟩
Journal articles hal-02592424v1
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Stability Properties of Networks with Interacting TCP Flows

Carl Graham , Philippe Robert , Maaike Verloop
Network Control and Optimization (NET-COOP 2009), Nov 2009, Eindhoven, Netherlands. pp.1-15, ⟨10.1007/978-3-642-10406-0_1⟩
Conference papers inria-00395116v1

Stochastic Simulation and Monte Carlo Methods. Mathematical Foundations of Stochastic Simulation.

Denis Talay , Carl Graham
Springer, 68, pp.268, 2013, Stochastic Modelling and Applied Probability, 978-3-642-39363-1
Books hal-00954842v1
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Regenerative properties of the linear Hawkes process with unbounded memory

Carl Graham
Annals of Applied Probability, 2021, 31 (6), pp.2844-2863. ⟨10.1214/21-AAP1664⟩
Journal articles hal-02139998v2
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Chaoticity for multi-class systems and exchangeability within classes

Carl Graham
Journal of Applied Probability, 2008, 45 (4), pp.1196-1203. ⟨10.1239/jap/1231340243⟩
Journal articles hal-00171668v4
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Convergence of multi-class systems of fixed possibly infinite sizes

Carl Graham
Statistics and Probability Letters, 2011, 81 (1), pp.31-35. ⟨10.1016/j.spl.2010.09.015⟩
Journal articles hal-00358575v1

Self-adaptive congestion control for multi-class intermittent connections in a communication network

Carl Graham , Philippe Robert
Queueing Systems, 2011, 69, pp.237-257. ⟨10.1007/s11134-011-9260-z⟩
Journal articles hal-00511034v1

The Bounded Confidence Model Of Opinion Dynamics

Javier Gómez-Serrano , Carl Graham , Jean-Yves Le Boudec
Mathematical Models and Methods in Applied Sciences, 2012, 22 (2), pp.11500072. ⟨10.1142/S0218202511500072⟩
Journal articles hal-00494262v1
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Renewal in Hawkes processes with self-excitation and inhibition

Manon Costa , Carl Graham , Laurence Marsalle , Viet-Chi Tran
Advances in Applied Probability, 2020, 52 (3), pp.879-915. ⟨10.1017/apr.2020.19⟩
Journal articles hal-01683954v1
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Out of equilibrium functional central limit theorems for a large network where customers join the shortest of several queues

Carl Graham
2004
Preprints, Working Papers, ... hal-00000958v2
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Cache Miss Estimation for Non-Stationary Request Processes

Felipe Olmos , Carl Graham , Alain Simonian
Stochastic Systems, 2018, 8 (1), pp.75-90. ⟨10.1287/stsy.2017.0009⟩
Journal articles hal-01232173v2
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Interacting Multi-Class Transmissions in Large Stochastic Networks

Carl Graham , Philippe Robert
Annals of Applied Probability, 2009, 19 (6), pp.2334-2361. ⟨10.1214/09-AAP614⟩
Journal articles inria-00326156v1
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Semigroup inequalities, stochastic domination, Hardy's inequality, and strong ergodicity

Carl Graham
2009
Preprints, Working Papers, ... hal-00286007v2