Publications of Neil O'Connell

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.

• Directed polymers and the quantum Toda lattice.
  Ann. Probab. 40 (2012) 437-458. pdf
  
  
• 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
  
  
• Continuous crystals and Duistermaat-Heckman measure for Coxeter groups.
  With Philippe Biane and Philippe Bougerol. Adv. Math. 221 (2009) 1522-1583. pdf
  
  
• 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
  
  
• Matchings and the variance of Lipschitz functions.
  With Frank Barthe. ESAIM: Probability and Statistics July 2009, Vol. 13, p. 400-408.
  
  
• Complexity analysis of a decentralised graph colouring algorithm.
  With Ken Duffy and Artem Sapozhnikov. Information Processing Letters 107 (2), 60-63, 2008. pdf
  
  
• The M/M/1 queue is Bernoulli.
  With Michael Keane. Colloq. Math. 110 (2008), 205-210. arXiv
  
  
• On the free energy of a directed polymer in a Brownian environment.
  With John Moriarty. Markov Process. Related Fields 13 (2007) 251-266. pdf
  
  
• Large and moderate deviations for matching problems and empirical discrepancies.
  With A. Ganesh. Markov Process. Related Fields 13 (2007) 85-98. pdf
  
  
• Weyl Chambers, Symmetric Spaces and Number Variance Saturation.
  With Liza Jones. ALEA 2 (2006) 91--118. pdf
  
  
• Littelmann paths and Brownian paths.
  With Philippe Biane and Philippe Bougerol. Duke Math. J. 130 (2005) 127--167. pdf
  
  
• Queues, Stores, and Tableaux.
  With Moez Draief and Jean Mairesse. J. Appl. Probab. 42 (2005) 1145--1167. pdf
  
  
• Exit problems associated with finite reflection groups.
  With Yan Doumerc. Probab. Theory Relat. Fields 132 (2005) 501-538. pdf
  
  
• Big Queues. With A. Ganesh and Damon Wischik.
  Lecture Notes in Mathematics 1838, Springer, 2004.
  
  
• 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
  
  
• Conditioned random walks and the RSK correspondence.
  J. Phys. A 36 (2003) 3049--3066. pdf
  
  
• A path-transformation for random walks and the Robinson-Schensted correspondence.
  Trans. Amer. Math. Soc. 355 (2003) 3669--3697. pdf
  
  
• Invariant rate functions for discrete-time queues.
  With A. Ganesh and Balaji Prabhakar. Ann. Appl. Probab. 13 (2003) 446--474. pdf
  
  
• Random matrices, non-colliding processes and queues.
  Seminaire de Probabilites XXXVI, 165--182.
  Lecture Notes in Mathematics 1801, Springer, 2002. pdf
  
  
• Concentration results for a Brownian directed percolation problem.
  With Ben Hambly and James Martin. Stochastic Process. Appl. 102 (2002) 207--220. pdf
  
  
• A large deviation principle with queueing applications.
  With A. Ganesh. Stoch. Stoch. Rep. 73 (2002) 25--35. pdf
  
  
• Information loss in riffle shuffling.
  With Dudley Stark and A. Ganesh. Combin. Probab. Comput. 11 (2002) 79--95.
  
  
• Non-colliding random walks, tandem queues, and discrete orthogonal polynomial ensembles.
  With Wolfgang Konig and Sebastian Roch. Electron. J. Probab. 7 (2002). pdf
  
  
• A representation for non-colliding random walks.
  With Marc Yor. Electron. Comm. Probab. 7 (2002). pdf
  
  
• Eigenvalues of the Laguerre process as non-colliding squared Bessel processes.
  With Wolfgang Konig. Electron. Comm. Probab. 6 (2001) 107--114. pdf
  
  
• Brownian analogues of Burke's theorem.
  With Marc Yor. Stochastic Process. Appl. 96 (2001) 285--304. pdf
  
  
• 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
  
  
• On the characteristic polynomial of a random unitary matrix.
  With Chris Hughes and Jon Keating. Comm. Math. Phys. 220 (2001) 429--451. pdf
  
  
• Random finite topologies and their thresholds.
  With Catriona Maclean. Combin. Probab. Comput. 10 (2001) 239--249.
  
  
• A large-deviation principle for Dirichlet posteriors.
  With A. Ganesh. Bernoulli 6 (2000) 1021--1034. pdf
  
  
• 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
  
  
• The characteristic polynomial of a random permutation matrix.
  With Ben Hambly, Peter Keevash and Dudley Stark.
  Stochastic Process. Appl. 90 (2000) 335--346. pdf
  
  
• Large deviations at equilibrium for a large star-shaped loss network.
  With Carl Graham. Ann. Appl. Probab. 10 (2000) 104--122. pdf
  
  
• 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
  
  
• A large deviations heuristic made precise.
  Math. Proc. Cambridge Philos. Soc. 128 (2000) 561--569. pdf
  
  
• Sample path large deviations in finer topologies.
  With Peter Eichelsbacher. Stochastics Stochastics Rep. 67 (1999) 231--254.
  
  
• An inverse of Sanov's theorem.
  With A. Ganesh. Statist. Probab. Lett. 42 (1999) 201--206. pdf
  
  
• Bayesian network management.
  With A. Ganesh, Peter Green and Susan Pitts.
  Queueing Systems Theory Appl. 28 (1998) 267--282.
  
  
• Large deviations for queue lengths at a multi-buffered resource.
  J. Appl. Probab. 35 (1998) 240--245.
  
  
• The linear geodesic property is not generally preserved by a FIFO queue.
  With A. Ganesh. Ann. Appl. Probab. 8 (1998) 98--111. pdf
  
  
• Some large deviation results for sparse random graphs.
  Probab. Theory Related Fields 110 (1998) 277--285. pdf
  
  
• From laws of large numbers to large deviation principles.
  Markov Process. Related Fields 3 (1997) 589--596.
  
  
• 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.
  
  
• Large deviations for departures from a shared buffer.
  J. Appl. Probab. 34 (1997) 753--766.
  
  
• Queue lengths and departures at single-server recources.
  In: Stochastic Networks: Theory and Applications. Oxford University Press, 1996.
  
  
• 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.
  
  
• 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.
  
  
• The genealogy of branching processes and the age of our most recent common ancestor.
  Adv. in Appl. Probab. 27 (1995) 418--442. pdf
  
  
• Review of Lectures on the Coupling Method, by Torgny Lindvall.
  Ann. Probab. 23 (1995) 1456--1460. pdf
  
  
• Weighted occupation time for branching particle systems and a representation for the supercritical superprocess.
  With Steve Evans. Canad. Math. Bull. 37 (1994) 187--196.
  
  
• High mutation rate loci in a subdivided population.
  With Montgomery Slatkin. Theoretical Population Biology 44 (1993) 110--127. pdf
  
  
• Yule process approximation for the skeleton of a branching process.
  J. Appl. Probab. 30 (1993) 725--729.
  
  
• Collision times and exit times from cones: a duality.
  With Antony Unwin. Stochastic Process. Appl. 43 (1992) 291--301. pdf
  
  
• Microscopic and macroscopic aspects of epidemics.
  With Christian Mazza. Appl. Math. Comput. 47 (1992) 237--258.