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

Dong, R., Goldschmidt, C. and Martin, J. (2006) “Coagulation-fragmentation duality, Poisson-Dirichlet distributions and random recursive trees”, ANNALS OF APPLIED PROBABILITY, 16(4), pp. 1733–1750.
Ferrari, P. and Martin, J. (2005) “Multiclass processes, dual points and M/M/1 queues.”
Bodineau, T. and Martin, J. (2005) “A universality property for last-passage percolation paths close to the axis”, Electronic Communications in Probability, 10, pp. 105–112.
Martin, J., Rozikov, U. and Suhov, Y. (2005) “A Three State Hard-Core Model on a Cayley Tree”, Journal of Nonlinear Mathematical Physics, 12(3), pp. 432–448.
Angel, O., Holroyd, A. and Martin, J. (2005) “The Jammed Phase of the Biham-Middleton-Levine Traffic Model”, Electronic Communications in Probability, 10(none), pp. 167–178.
Martin, J. (2004) “Limiting shape for directed percolation models”, The Annals of Probability, 32(4), pp. 2908–2937.
Martin, J. (2003) “Reconstruction thresholds on regular trees.”
Martin, J. (2002) “Linear growth for greedy lattice animals”, Stochastic Processes and their Applications, 98(1), pp. 43–66.
Martin, J. (2002) “Stochastic bounds for fast Jackson networks”, in Suhov, Y. (ed.) Analytic methods in applied probability. American Mathematical Society, pp. 133–140.
Hambly, B., Martin, J. and O’Connell, N. (2002) “Concentration results for a Brownian directed percolation problem”, STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 102(2), pp. 207–220.

Contact Details

Email: james.martin@stats.ox.ac.uk

Office number: 3.06

Research Groups

Probability