Publications

The papers listed below are made available as a scientific resource for the private use of individual scholars. None of the material may be used commercially, or for financial gain. Some of it is protected by copyright. Requests for permission to make public use of any of the papers, or material therein, should be sought from the original publisher. It is the responsibility of anyone making use of this material to ensure that they are not breaking copyright.

1. Free fermions and α-determinantal processes.
   With Fabio Deelan Cunden and Satya Majumdar. J. Phys. A (2019). pdf
   
   
2. Moments of random matrices and hypergeometric orthogonal polynomials.
   With Fabio Deelan Cunden, Francesco Mezzadri and Nick Simm. Commun. Math. Phys. 369 (2019) 1091--1145. pdf
   
   
3. Free fermions and the classical compact groups.
   With Fabio Deelan Cunden and Francesco Mezzadri. J. Stat. Phys. 171 (2018) 768-801. pdf
   
   
4. A multi-layer extension of the stochastic heat equation.
   With Jon Warren. Comm. Math. Phys. 341 (2016) 1-33. pdf
   
   
5. Stochastic Bäcklund transformations.
   In: In Memoriam Marc Yor - Séminaire de Probabilités XLVII, Springer, 2015. pdf
   
   
6. Tracy-Widom asymptotics for a random polymer model with gamma-distributed weights.
   With Janosch Ortmann. Electron. J. Probab. 20 (2015). pdf
   
   
7. Geometric RSK correspondence, Whittaker functions and symmetrized random polymers.
   With T. Seppalainen and N. Zygouras. Invent. Math. 197 (2014) 361--416. pdf
   
   
8. Whittaker functions and related stochastic processes.
   In: Random matrices, interacting particle systems and integrable systems, MSRI Vol. 65, 2014. pdf
   
   
9. Tropical Combinatorics and Whittaker functions.
   With Ivan Corwin, Timo Seppalainen and Nikos Zygouras. Duke Math. J. 163 (2014) 465--663. pdf
   
   
10. Product-form invariant measures for Brownian motion with drift satisfying a skew-symmetry type condition.
    With Janosch Ortmann. ALEA, Lat. Am. J. Probab. Math. Stat. 11 (1), 307–329 (2014). pdf
    
    
11. Geometric RSK and the Toda lattice.
    Illinois J. Math. 57 (2013) 883--918. pdf
    
    
12. A q-weighted version of the Robinson-Schensted algorithm.
    With Yuchen Pei. Electron. J. Probab. 18 (2013) 1-25. pdf
    
    
13. Directed polymers and the quantum Toda lattice.
    Ann. Probab. 40 (2012) 437--458. pdf
    
    
14. Exponential functionals of Brownian motion and class one Whittaker functions.
    With Fabrice Baudoin. Annales de l'institut Henri Poincare (B) Probabilites et Statistiques 47 (2011) 1096--1120. pdf
    
    
15. Continuous crystals and Duistermaat-Heckman measure for Coxeter groups.
    With Philippe Biane and Philippe Bougerol. Adv. Math. 221 (2009) 1522--1583. pdf
    
    
16. Interlaced processes on the circle.
    With Anthony P. Metcalfe and Jon Warren.
    Annales de l'institut Henri Poincare (B) Probabilites et Statistiques 45 (2009) 1165--1184. pdf
    
    
17. Matchings and the variance of Lipschitz functions.
    With Frank Barthe. ESAIM: Probability and Statistics July 2009, Vol. 13, p. 400-408.
    
    
18. Complexity analysis of a decentralised graph colouring algorithm.
    With Ken Duffy and Artem Sapozhnikov. Information Processing Letters 107 (2), 60-63, 2008. pdf
    
    
19. The M/M/1 queue is Bernoulli.
    With Michael Keane. Colloq. Math. 110 (2008), 205-210. arXiv
    
    
20. On the free energy of a directed polymer in a Brownian environment.
    With John Moriarty. Markov Process. Related Fields 13 (2007) 251--266. pdf
    
    
21. Large and moderate deviations for matching problems and empirical discrepancies.
    With A. Ganesh. Markov Process. Related Fields 13 (2007) 85-98. pdf
    
    
22. Weyl Chambers, Symmetric Spaces and Number Variance Saturation.
    With Liza Jones. ALEA 2 (2006) 91--118. pdf
    
    
23. Littelmann paths and Brownian paths.
    With Philippe Biane and Philippe Bougerol. Duke Math. J. 130 (2005) 127--167. pdf
    
    
24. Queues, Stores, and Tableaux.
    With Moez Draief and Jean Mairesse. J. Appl. Probab. 42 (2005) 1145--1167. pdf
    
    
25. Exit problems associated with finite reflection groups.
    With Yan Doumerc. Probab. Theory Relat. Fields 132 (2005) 501--538. pdf
    
    
26. Big Queues. With A. Ganesh and Damon Wischik.
    Lecture Notes in Mathematics 1838, Springer, 2004.
    
    
27. Joint Burke's theorem and RSK representation for a queue and a store.
    With Moez Draief and Jean Mairesse.
    Discrete Math. Theor. Comput. Sci. Proc. AC (2003) 69--82. pdf
    
    
28. Conditioned random walks and the RSK correspondence.
    J. Phys. A 36 (2003) 3049--3066. pdf
    
    
29. A path-transformation for random walks and the Robinson-Schensted correspondence.
    Trans. Amer. Math. Soc. 355 (2003) 3669--3697. pdf
    
    
30. Invariant rate functions for discrete-time queues.
    With A. Ganesh and Balaji Prabhakar. Ann. Appl. Probab. 13 (2003) 446--474. pdf
    
    
31. Random matrices, non-colliding processes and queues.
    Seminaire de Probabilites XXXVI, 165--182.
    Lecture Notes in Mathematics 1801, Springer, 2002. pdf
    
    
32. Concentration results for a Brownian directed percolation problem.
    With Ben Hambly and James Martin. Stochastic Process. Appl. 102 (2002) 207--220. pdf
    
    
33. A large deviation principle with queueing applications.
    With A. Ganesh. Stoch. Stoch. Rep. 73 (2002) 25--35. pdf
    
    
34. Information loss in riffle shuffling.
    With Dudley Stark and A. Ganesh. Combin. Probab. Comput. 11 (2002) 79--95.
    
    
35. Non-colliding random walks, tandem queues, and discrete orthogonal polynomial ensembles.
    With Wolfgang Konig and Sebastian Roch. Electron. J. Probab. 7 (2002). pdf
    
    
36. A representation for non-colliding random walks.
    With Marc Yor. Electron. Comm. Probab. 7 (2002). pdf
    
    
37. Eigenvalues of the Laguerre process as non-colliding squared Bessel processes.
    With Wolfgang Konig. Electron. Comm. Probab. 6 (2001) 107--114. pdf
    
    
38. Brownian analogues of Burke's theorem.
    With Marc Yor. Stochastic Process. Appl. 96 (2001) 285--304. pdf
    
    
39. Pitman's 2M-X theorem for skip-free random walks with Markovian increments.
    With Ben Hambly and James Martin. Electron. Comm. Probab. 6 (2001) 73--77. pdf
    
    
40. On the characteristic polynomial of a random unitary matrix.
    With Chris Hughes and Jon Keating. Comm. Math. Phys. 220 (2001) 429--451. pdf
    
    
41. Random finite topologies and their thresholds.
    With Catriona Maclean. Combin. Probab. Comput. 10 (2001) 239--249.
    
    
42. A large-deviation principle for Dirichlet posteriors.
    With A. Ganesh. Bernoulli 6 (2000) 1021--1034. pdf
    
    
43. Random matrix theory and the derivative of the Riemann zeta function.
    With Chris Hughes and Jon Keating.
    R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. 456 (2000) 2611--2627. pdf
    
    
44. The characteristic polynomial of a random permutation matrix.
    With Ben Hambly, Peter Keevash and Dudley Stark.
    Stochastic Process. Appl. 90 (2000) 335--346. pdf
    
    
45. Large deviations at equilibrium for a large star-shaped loss network.
    With Carl Graham. Ann. Appl. Probab. 10 (2000) 104--122. pdf
    
    
46. Poissonian behavior of Ising spin systems in an external field.
    With A. Ganesh, Ben Hambly, Dudley Stark and Paul Upton.
    J. Statist. Phys. 99 (2000) 613--626. pdf
    
    
47. A large deviations heuristic made precise.
    Math. Proc. Cambridge Philos. Soc. 128 (2000) 561--569. pdf
    
    
48. Sample path large deviations in finer topologies.
    With Peter Eichelsbacher. Stochastics Stochastics Rep. 67 (1999) 231--254.
    
    
49. An inverse of Sanov's theorem.
    With A. Ganesh. Statist. Probab. Lett. 42 (1999) 201--206. pdf
    
    
50. Bayesian network management.
    With A. Ganesh, Peter Green and Susan Pitts.
    Queueing Systems Theory Appl. 28 (1998) 267--282.
    
    
51. Large deviations for queue lengths at a multi-buffered resource.
    J. Appl. Probab. 35 (1998) 240--245.
    
    
52. The linear geodesic property is not generally preserved by a FIFO queue.
    With A. Ganesh. Ann. Appl. Probab. 8 (1998) 98--111. pdf
    
    
53. Some large deviation results for sparse random graphs.
    Probab. Theory Related Fields 110 (1998) 277--285. pdf
    
    
54. From laws of large numbers to large deviation principles.
    Markov Process. Related Fields 3 (1997) 589--596.
    
    
55. Branching and inference in population genetics.
    In: Progress in population genetics and human evolution (Minneapolis, MN, 1994), 97--106,
    IMA Vol. Math. Appl., 87, Springer, New York, 1997.
    
    
56. Large deviations for departures from a shared buffer.
    J. Appl. Probab. 34 (1997) 753--766.
    
    
57. Queue lengths and departures at single-server recources.
    In: Stochastic Networks: Theory and Applications. Oxford University Press, 1996.
    
    
58. Entropy of ATM traffic streams: a tool for estimating QoS parameters.
    With N.G. Duffield, J.T. Lewis, Raymond Russell and Fergal Toomey.
    IEEE Journal of Selected Areas in Communications 13 (1995) 981--990.
    
    
59. Large deviations and overflow probabilities for the general single-server queue, with applications.
    With Nick Duffield. Math. Proc. Cambridge Philos. Soc. 118 (1995) 363--374.
    
    
60. The genealogy of branching processes and the age of our most recent common ancestor.
    Adv. in Appl. Probab. 27 (1995) 418--442. pdf
    
    
61. Review of Lectures on the Coupling Method, by Torgny Lindvall.
    Ann. Probab. 23 (1995) 1456--1460. pdf
    
    
62. Weighted occupation time for branching particle systems and a representation for the supercritical superprocess.
    With Steve Evans. Canad. Math. Bull. 37 (1994) 187--196.
    
    
63. High mutation rate loci in a subdivided population.
    With Montgomery Slatkin. Theoretical Population Biology 44 (1993) 110--127. pdf
    
    
64. Yule process approximation for the skeleton of a branching process.
    J. Appl. Probab. 30 (1993) 725--729.
    
    
65. Collision times and exit times from cones: a duality.
    With Antony Unwin. Stochastic Process. Appl. 43 (1992) 291--301. pdf
    
    
66. Microscopic and macroscopic aspects of epidemics.
    With Christian Mazza. Appl. Math. Comput. 47 (1992) 237--258.