The following papers can be downloaded. You can also visit Google Scholar.

• Permutation invariance in last-passage percolation and the distribution of the Busemann process with Erik Bates, Elnur Emrah, Timo Seppäläinen, and Evan Sorensen

• The inhomogeneous t-PushTASEP and Macdonald polynomials with Arvind Ayyer and Lauren Williams.
  To appear in Annales de l'Institut Henri Poincaré D (Combinatorics, Physics and their Interactions).

• The inhomogeneous multispecies PushTASEP: dynamics and symmetry with Arvind Ayyer.

• Convergence of the environment seen from geodesics in exponential last-passage percolation with Allan Sly and Lingfu Zhang.
  Journal of the European Mathematical Society 27:3, pp. 877-970 (2025)

• Modified Macdonald polynomials and the multispecies zero range process: II with Arvind Ayyer and Olya Mandelshtam.
  Mathematische Zeitscrhift, 308:31, pp. 1-45 (2024)

• Modified Macdonald polynomials and the multispecies zero range process: I with Arvind Ayyer and Olya Mandelshtam.
  Algebraic Combinatorics, vol. 6, pp. 243-284 (2023).

• The Foata-Fuchs proof of Cayley's formula, and its probabilistic uses with Louigi Addario-Berry, Arthur Blanc-Renaudie, Serte Donderwinkel, and Mickaël Maazoun.
  Electronic Communications in Probability vol. 28, pp. 1-13 (2023).

• Galton-Watson games, with Alexander Holroyd.
  Random Structures and Algorithms, vol. 59, pp. 495-521 (2021).

• The TAZRP speed process, with Gidi Amir, Ofer Busani, and Patricia Gonçalves.
  Annales de l'Institut Henri Poincaré - Probabilités et Statistiques vol. 57, pp. 1281-1305 (2021)

• Extended Sprague-Grundy theory for locally finite games, and applications to random game-trees.
  Integers vol. 21b, paper A18 (2021) (special volume in memory of John Conway, Richard Guy, and Elwyn Berlekamp).

• Stationary distributions of the multi-type ASEP.
  Electronic Journal of Probability, vol. 25, no. 43 (2020)

• Minimax functions on Galton-Watson trees, with Roman Stasiński.
  Probability, Combinatorics and Computing, vol. 29, no. 3, pp. 455-484 (2020)

• Stable matchings in high dimensions via the Poisson-weighted infinite tree, with Alexander Holroyd and Yuval Peres.
  Annales de l'Institut Henri Poincaré - Probabilités et Statistiques, vol. 56, no. 2, pp. 826-846 (2020).

• Percolation games, probabilistic cellular automata, and the hard-core model, with Alexander Holroyd and Irène Marcovici.
  Probability Theory and Related Fields, vol. 174, nos. 3-4, pp. 1187-1217 (2019).

• Critical random forests, with Dominic Yeo.
  ALEA, Latin American Journal of Probability and Mathematical Statistics, vol. 15, pp. 913-960 (2018).

• Stability of service under time-of-use pricing, with Shuchi Chawla, Nikhil Devanur, Alexander Holroyd, Anna Karlin, and Balasubramanian Sivan.
  STOC 2017.

• Rigid representations of the multiplicative coalescent with linear deletion, with Balázs Ráth.
  Electronic Journal of Probability vol. 22, no. 83 (2017)

• Friendly frogs, stable marriage, and the magic of invariance, with Maria Deijfen and Alexander Holroyd.
  American Mathematical Monthly, vol. 124, no. 4, pp. 387-402 (2017)

• Trapping games on random boards, with Riddhipratim Basu, Alexander Holroyd, and Johan Wästlund.
  Annals of Applied Probability vol. 26, no. 6, pp. 3727-3753 (2016)

• Poisson allocations with bounded connected cells, with Alexander Holroyd.
  Electronic Communications in Probability vol. 20, no. 69 (2015).

• Long-range last-passage percolation on the line, with Sergey Foss and Philipp Schmidt.
  Annals of Applied Probability vol. 24, no. 1, pp. 198-234 (2014)

• Stochastic domination and comb percolation, with Alexander Holroyd.
  Electronic Journal of Probability vol. 19, no. 5 (2014).

• How to squeeze the toothpaste back into the tube, with Pablo Ferrari.

• Avoidance coupling, with Omer Angel, Alexander Holroyd, David Wilson, and Peter Winkler.
  Electronic Communications in Probability vol. 18, no. 58 (2013).

• Fixed points for multi-class queues, with Balaji Prabhakar.

• Multi-type TASEP in discrete time, with Philipp Schmidt.
  ALEA, Latin American Journal of Probability and Mathematical Statistics, vol. 8, pp. 303-333 (2011).

• Discrete low-discrepancy sequences, with Omer Angel, Alexander Holroyd and James Propp.

• Batch queues, reversibility and first-passage percolation.
  Queueing Systems, vol. 62, no. 4, pp. 411-427 (2009).

• Collision probabilities in the rarefaction fan of asymmetric exclusion processes, with Pablo Ferrari and Patricia Gonçalves.
  Annales de l'Institut Henri Poincaré - Probabilités et Statistiques, vol. 45, no. 4, pp. 1048-1064 (2009).

• A phase transition for competition interfaces, with Pablo Ferrari and Leandro Pimentel.
  Annals of Applied Probability, vol. 19, no. 1, pp. 281-317 (2009).

• Multiclass Hammersley-Aldous-Diaconis processes and multiclass queues, with Pablo Ferrari.
  Annales de l'Institut Henri Poincaré - Probabilités et Statistiques, vol. 45, no. 1, pp. 250-265 (2009).

• Fragmenting random permutations, with Christina Goldschmidt and Dario Spano.
  Electronic Communications in Probability, vol. 13, pp. 461-474 (2008).

• Heavy tails in last-passage percolation, with Ben Hambly.
  Probability Theory and Related Fields, vol. 137, pp. 227-275 (2007).

• Stationary distributions of multi-type totally asymmetric exclusion processes, with Pablo Ferrari.
  Annals of Probability, vol. 35, no. 3, pp. 807-832 (2007).

• Multiclass processes, dual points and M/M/1 queues, with Pablo Ferrari.
  Markov Processes and Related Fields, vol. 12, pp. 175-201 (2006).

• 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).

• Last-passage percolation with general weight distribution (survey paper).
  Markov Processes and Related Fields, vol. 12, pp. 273-299 (2006) [ps, ps.gz]

• Roughening and inclination of competition interfaces, with Pablo Ferrari and Leandro Pimentel.
  Physical Review E, vol 73, 031602 (2006) [journal version, arxiv]

• 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)

• Random recursive trees and the Bolthausen-Sznitman coalescent, with Christina Goldschmidt.
  Electronic Journal of Probability, vol. 10, pp. 718-745 (2005)

• 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)

• 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]

• 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)

• Limiting shape for directed percolation models.
  Annals of Probability, vol. 32, no. 4, pp. 2908-2937 (2004)

• 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)

• 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]

• Large tandem queueing networks with blocking.
  Queueing Systems, Theory and Applications, vol. 41, pp. 45-72 (2002) [ps, ps.gz]

• Linear growth for greedy lattice animals.
  Stochastic Processes and their Applications, vol. 98, no. 1, pp. 43-66 (2002) [ps, ps.gz]

• 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]

• 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)

• Point processes in fast Jackson networks.
  Annals of Applied Probability, vol. 11, no. 3, pp. 650-663 (2001) [ps, ps.gz]

• 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]

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James Martin