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. (2023) “The multispecies zero range process and modified Macdonald polynomials”, Seminaire Lotharingien de Combinatoire [Preprint], (89).
Addario-Berry, L., Blanc-Renaudie, A., Donderwinkel, S., Maazoun, M. and Martin, J. (2023) “The Foata–Fuchs proof of Cayley’s formula, and its probabilistic uses”, Electronic Communications in Probability, 28(none).
Ayyer, A., Mandelshtam, O. and Martin, J. (2023) “Modified Macdonald polynomials and the multispecies zero-range process: I”, Algebraic Combinatorics, 6(1), pp. 243–284.
Ayyer, A., Mandelshtam, O. and Martin, J. (2022) “Modified Macdonald polynomials and the multispecies zero range process: II.”
Martin, J. (2022) “Extended Sprague-Grundy theory for locally finite games, and applications to random game-trees”, in Combinatorial Game Theory: A Special Collection in Honor of Elwyn Berlekamp, John H. Conway and Richard K. Guy, pp. 343–365.
Amir, G., Busani, O., Gonçalves, P. and Martin, J. (2021) “The TAZRP speed process”, Annales de l’Institut Henri Poincaré (B) Probabilités et Statistiques, 57(3), pp. 1281–1305.
Addario-Berry, L., Donderwinkel, S., Maazoun, M. and Martin, J. (2021) “The Foata-Fuchs proof of Cayley’s formula, and its probabilistic uses.”
Martin, J. (2021) “Extended Sprague-Grundy theory for locally finite games, and applications to random game-trees.”
Holroyd, A. and Martin, J. (2021) “Galton-Watson games”, Random Structures and Algorithms, 59(4), pp. 495–521.
Martin, J. (2021) “EXTENDED SPRAGUE-GRUNDY THEORY FOR LOCALLY FINITE GAMES, AND APPLICATIONS TO RANDOM GAME-TREES”, Integers, 21B.

Contact Details

Email: james.martin@stats.ox.ac.uk

Office number: 3.06

Research Groups

Probability