The following papers can be downloaded:
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Stochastic domination and comb percolation,
with Alexander Holroyd.
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Avoidance coupling,
with Omer Angel, Alexander Holroyd, David Wilson and Peter Winkler.
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Long-range last-passage percolation on the line,
with Sergey Foss and Philipp Schmidt.
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Fixed points for multi-class queues,
with Balaji Prabhakar.
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Multi-type TASEP in discrete time,
with Philipp Schmidt.
ALEA, Latin American Journal of Probability and Mathematical Statistics,
vol. 8, pp. 303–333 (2011).
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Discrete low-discrepancy sequences,
with Omer Angel, Alexander Holroyd and James Propp.
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Batch queues, reversibility and first-passage percolation.
Queueing Systems, vol. 62, no. 4, pp. 411-427 (2009).
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Collision probabilities in the rarefaction fan of asymmetric exclusion
processes,
with Pablo Ferrari and Patricia Goncalves.
Annales de l'Institut Henri Poincaré -
Probabilités et Statistiques, vol. 45, no. 4, pp.
1048-1064 (2009).
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A phase transition for competition interfaces,
with Pablo Ferrari and Leandro Pimentel.
Annals of Applied Probability, vol. 19, no. 1, pp. 281-317 (2009).
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Multiclass Hammersley-Aldous-Diaconis process and multiclass-customer
queues,
with Pablo Ferrari.
Annales de l’Institut Henri Poincaré - Probabilités et
Statistiques,
vol. 45, no. 1, pp. 250–265 (2009).
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Fragmenting random permutations,
with Christina Goldschmidt and Dario Spano.
Electronic Communications in Probability, vol. 13, pp. 461-474
(2008).
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Heavy tails in last-passage percolation,
with Ben Hambly.
Probability Theory and Related Fields, vol. 137, pp. 227-275 (2007).
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Stationary distributions of
multi-type totally asymmetric exclusion processes,
with Pablo Ferrari.
Annals of Probability, vol. 35, no. 3, pp. 807-832 (2007).
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Multiclass processes, dual points and M/M/1 queues,
with Pablo Ferrari.
Markov Processes and Related Fields, vol. 12, pp. 175-201 (2006).
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Coagulation-fragmentation duality, Poisson-Dirichlet distributions and
random recursive trees, with Rui Dong and Christina
Goldschmidt.
Annals of Applied Probability, vol. 16, no. 4, pp. 1733.1750 (2006).
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Last-passage percolation with general weight distribution
(survey paper).
Markov Processes and Related Fields, vol. 12, pp. 273-299 (2006)
[ps,
ps.gz]
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Roughening and inclination of competition interfaces,
with Pablo Ferrari and Leandro Pimentel.
Physical Review E, vol 73, 031602 (2006)
[journal
version,
arxiv]
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The jammed phase of the Biham-Middleton-Levine traffic model,
with Omer Angel and Alexander Holroyd.
Electronic Communications in Probability, vol. 10, pp. 167-178 (2005)
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Random recursive trees and the Bolthausen-Sznitman coalescent,
with Christina Goldschmidt.
Electronic Journal of Probability, vol. 10, pp. 718-745 (2005)
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A universality property for last-passage percolation
paths close to the axis,
with Thierry Bodineau.
Electronic Communications in Probability, vol. 10, pp. 105-112 (2005)
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Benefits of partial reconfigurability
in circuit-switched WDM networks.
Journal of High-Speed Networks, vol. 14, no. 3, pp. 201-213 (2005)
[ps,
ps.gz]
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A three-state hard-core model on a Cayley tree,
with Utkir Rozikov and Yuri Suhov.
Journal of
Nonlinear Mathematical Physics, vol. 12, no. 3, pp. 432-448 (2005)
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Limiting shape for directed
percolation models.
Annals of Probability, vol. 32, no. 4, pp. 2908-2937 (2004)
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Reconstruction thresholds on regular trees.
In
Discrete Random Walks, DRW'03,
ed.
C. Banderier and C. Krattenthaler,
Discrete Mathematics and
Theoretical Computer Science Proceedings AC, pp. 191-204 (2003)
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Concentration results for a Brownian
directed percolation problem,
with Ben Hambly and Neil O'Connell
Stochastic Processes and their Applications, vol. 102, pp. 207-220 (2002)
[ps,
ps.gz]
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Large tandem queueing networks with blocking.
Queueing Systems, Theory and Applications, vol. 41, pp. 45-72 (2002)
[ps,
ps.gz]
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Linear growth for greedy lattice animals.
Stochastic Processes and their Applications, vol. 98, no. 1, pp. 43-66
(2002)
[ps,
ps.gz]
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Stochastic bounds for fast Jackson networks.
In Analytic
Methods in Applied Probability: In Memory of Fridrikh Karpelevich,
ed. Yu. M. Suhov, pp. 133-140. AMS (2002)
[ps,
ps.gz]
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Pitman's 2M-X theorem for skip-free random walks with Markovian
increments, with Ben Hambly and Neil O'Connell.
Electronic Communications in Probability, vol. 6, pp. 73-77 (2001)
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Point processes in fast Jackson networks.
Annals of Applied Probability, vol. 11, no. 3, pp. 650-663
(2001)
[ps,
ps.gz]
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Fast Jackson networks, with Yuri Suhov.
Annals of Applied Probability,
vol. 9, no. 3, pp. 854-870 (1999)
[(ps,
ps.gz)]
- Analysis of some large Markovian queueing networks.
PhD thesis, University of Cambridge, 1999.
[ps,
ps.gz]
James Martin