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Prof. James P. Gleeson

(PhD, Applied Math, Caltech, 1999)

Department of Mathematics and Statistics,

University of Limerick, Ireland

Telephone: +353 61 202634

Office: B-3051, Main building, U.L.

Email: james.gleeson@ul.ie

 

Please note: I am not the only J Gleeson in the University of Limerick. Dr Jim Gleeson of the Department of Education and Professional Studies may be located here.

 

Teaching:

·         MSc in Mathematical Modelling

·         MS6011: Advanced Methods I

·         MS4022: Calculus 2

·         MS4028: SDEs for finance

Research: Stochastic Dynamics and Complex Systems

The Stochastic Dynamics and Complex Systems group is part of the Mathematics Applications Consortium for Science and Industry (MACSI); our research is primarily focused on mathematical modeling of unpredictable fluctuations and noise in a variety of real-world applications. Current funding is provided by a Science Foundation Ireland (SFI) Investigator award, and by MACSI.

Recent and upcoming presentations:

·         Plenary speaker at Workshop on Financial Networks and Risk Assessment, Fields Institute, Toronto, 19-21 May 2010.

·         Contributed talk at Bifi 2010 Networks: A framework for cross disciplinary applications, Zaragoza, Spain, 3 Feb 2010.

Research areas and selected publications:

·        Dynamical agents on complex networks:

  1. Melnik S, Hackett A, Porter MA, Mucha PJ, Gleeson JP, The unreasonable effectiveness of tree-based theory for networks with clustering, submitted, arXiv:1001.1439 (2010)
  2. Gleeson JP, Melnik S, Hackett A, How clustering affects the bond percolation threshold in complex networks, submitted, arXiv:0912.4204 (2009)
  3. Gallagher DA, Gleeson JP, Kenyon CM, and Lichters R, Valuation of a cashflow CDO without Monte Carlo simulation, submitted. [SSRN]
  4. Gleeson JP, Bond percolation on a class of clustered random networks, PHYSICAL REVIEW E, 80, Art. No. 036107, arXiv:0904.4292 (2009) [Selected to appear in the Virtual Journal of Biological Physics Research (Sep 15, 2009 issue)]
  5. Gleeson JP and Melnik S, Analytical results for bond percolation and k-core sizes on clustered networks, PHYSICAL REVIEW E, 80, Art. No. 046121 (2009) arXiv:0811.4511
  6. Gleeson JP, Cascades on correlated and modular random networks, PHYSICAL REVIEW E, 77, Art. No. 046117 (2008) [PDF] [Selected to appear in the Virtual Journal of Biological Physics Research (May 1, 2008 issue)]

 

·        Transport, mixing and dispersion in microfluidic devices:

 

1.      Fitzgerald T, Farrell R, Petkov N, Bolger C, Shaw M, Charpin J, Gleeson JP, Holmes J, and Morris M, A Study on the Combined Effects of Solvent Evaporation and Polymer Flow upon Block Copolymer Self-Assembly and Alignment on Topographic Patterns, LANGMUIR, to appear.

2.      Khoury M, Gleeson JP, Sancho JM, Lacasta AM, and Lindenberg K, Diffusion coefficient in periodic and random potentials, PHYSICAL REVIEW E, 80, 021123 (2009).

3.      Gleeson JP, Transport in randomly-fluctuating spatially-periodic potentials

PHYSICA A, 388, 277-287 (2009) [arXiv]

4.      Lanyon YH, De Marzi G, Watson YE, et al., Fabrication of nanopore array electrodes by focused ion beam milling, ANALYTICAL CHEMISTRY, 79, 3048-3055 (2007) [PDF]

5.      Gleeson JP, Sancho JM, Lacasta AM, et al., Analytical approach to sorting in periodic and random potentials, PHYSICAL REVIEW E, 73, 041102 (2006) [PDF]

 

·        Oscillator phase noise:

 

1.      Tertinek S, Gleeson JP, and Feely O, Statistical analysis of first-order bang-bang phase-locked loops using sign-dependent random walk theory, submitted.

2.      O’Doherty F and Gleeson JP, Phase diffusion coefficient for oscillators perturbed by colored noise, IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS 54, 435-439 (2007). [PDF]

3.      Gleeson JP and O’Doherty F, Non-Lorentzian spectral lineshapes near a Hopf bifurcation, SIAM JOURNAL ON APPLIED MATHEMATICS, 66 (5): 1669-1688 (2006) [PDF]

4.      Gleeson JP, Phase diffusion due to low-frequency colored noise, IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS 53 (3): 183-186 (2006) [PDF]

5.      Gleeson JP, The mean field of weakly coupled oscillators exhibits non-smooth phase noise, EUROPHYSICS LETTERS 73 (3): 328-334 (2006) [PDF]

 

Complete list of publications

SDCS homepage