Professor James Martin

Associate Professor of Probability

Biographical Sketch

Before arriving in Oxford in September 2005, I worked in Paris (for the CNRS, based in University Paris 7) and at the University of Cambridge.

 

Research Interests

My research is in probability theory, with strong links to statistical physics and theoretical computer science. Research interests include:

  • Interacting particle systems;
  • Models of random growth and percolation;
  • Algorithms on trees (for example models of broadcasting and reconstruction);
  • Models of coagulation and fragmentation;
  • Performance analysis of queueing and communication networks

Publications

Martin, J. and Schmidt, P. (2011) “Multi-type TASEP in discrete time”, ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, 8, pp. 303–333.
Martin, J. and Prabhakar, B. (2010) “Fixed points for multi-class queues.”
Angel, O., Holroyd, A., Martin, J. and Propp, J. (2009) “Discrete low-discrepancy sequences.”
Ferrari, P. and Martin, J. (2009) “Multiclass Hammersley-Aldous-Diaconis process and multiclass-customer queues”, ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 45(1), pp. 250–265.
Ferrari, P., Martin, J. and Pimentel, L. (2009) “A PHASE TRANSITION FOR COMPETITION INTERFACES”, ANNALS OF APPLIED PROBABILITY, 19(1), pp. 281–317.
Ferrari, P., Goncalves, P. and Martin, J. (2009) “Collision probabilities in the rarefaction fan of asymmetric exclusion processes”, ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 45(4), pp. 1048–1064.
Martin, J. (2009) “Batch queues, reversibility and first-passage percolation”, QUEUEING SYSTEMS, 62(4), pp. 411–427.
Goldschmidt, C., Martin, J. and Spano, D. (2008) “Fragmenting random permutations”, ELECTRONIC COMMUNICATIONS IN PROBABILITY, 13, pp. 461–474.
Ferrari, P. and Martin, J. (2007) “Stationary distributions of multi-type totally asymmetric exclusion processes”, The Annals of Probability, 35(3), pp. 807–832.
Ferrari, P., Martin, J. and Pimentel, L. (2006) “Roughening and inclination of competition interfaces.”, Physical review. E, Statistical, nonlinear, and soft matter physics, 73(3 Pt 1), p. 031602.

Contact Details

Email: james.martin@stats.ox.ac.uk

Office number: 3.06

Research Groups

Probability