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

Ayyer, A., Mandelshtam, O. and Martin, J. (2021) “Multispecies TAZRP and modified Macdonald polynomials”, Seminaire Lotharingien de Combinatoire [Preprint], (85).
Amir, G., Busani, O., Goncalves, P. and Martin, J. (2021) “The TAZRP speed process”, ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 57(3), pp. 1281–1305.
Ayyer, A., Mandelshtam, O. and Martin, J. (2020) “Modified Macdonald polynomials and the multispecies zero range process: I”, Algebraic Combinatorics, 6(1), pp. 243–284.
Martin, J. (2020) “Stationary distributions of the multi-type ASEP”, Electronic Journal of Probability, 25.
Martin, J. and Stasinski, R. (2020) “Minimax functions on Galton-Watson trees”, COMBINATORICS PROBABILITY & COMPUTING, 29(3), pp. 455–484.
Holroyd, A., Martin, J. and Peres, Y. (2020) “Stable matchings in high dimensions via the Poisson-weighted infinite tree”, ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 56(2), pp. 826–846.
Martin, J. and Stasiński, R. (2019) “Minimax functions on Galton-Watson trees”, Combinatorics, Probability and Computing, 29(3), pp. 455–484.
Holroyd, A., Marcovici, I. and Martin, J. (2018) “Percolation games, probabilistic cellular automata, and the hard-core model”, Probability Theory and Related Fields, 174(3-4), pp. 1187–1217.
Martin, J. and Yeo, D. (2018) “Critical random forests”, Latin American Journal of Probability and Mathematical Statistics, 15(2), pp. 913–960.
Martin, J. and Rath, B. (2017) “Rigid representations of the multiplicative coalescent with linear deletion”, Electronic Journal of Probability, 22, p. 83.

Contact Details

Email: james.martin@stats.ox.ac.uk

Office number: 3.06

Research Groups

Probability