Dr
Jonathan
Jordan
School of Mathematical and Physical Sciences
Senior Lecturer in Probability
jonathan.jordan@sheffield.ac.uk
Hicks Building
Full contact details
Dr Jonathan Jordan
Hicks Building
School of Mathematical and Physical Sciences
Hicks Building
Hounsfield Road
Sheffield
S3 7RH
- Profile
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Dr Jordan studied Mathematics at the University of Cambridge, obtaining a BA in 1998 and a Certificate of Advanced Study (Part III) in 1999. He started a PhD at Bristol, but transferred to Oxford in 2000, and obtained a DPhil in 2003, shortly after becoming a Lecturer in Sheffield. His research interests are in probability theory, in particular in random graphs such as preferential attachment and related models, in other reinforced processes, and in fractal graphs.
- Research interests
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Random graphs; preferential attachment; reinforced processes; fractals
- Publications
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Show: Featured publications All publications
Featured publications
Journal articles
- Extensive condensation in a model of preferential attachment with fitness. Electronic Journal of Probability, 25(-), ---.
- Condensation in preferential attachment models with location-based
choice. Random Structures and Algorithms, 56(3), 775-795.
- Preferential attachment graphs with co-existing types of different fitnesses. Journal of Applied Probability, 55(4), 1211-1227. View this article in WRRO
- The connected component of the partial duplication graph. ALEA : Latin American Journal of Probability and Mathematical Statistics, 15, 1431-1445. View this article in WRRO
- Non-convergence of proportions of types in a preferential attachment graph with three co-existing types. Electronic Communications in Probability, 23(54), 1-12.
- Preferential attachment with choice. Random Structures and Algorithms, 48(4), 751-766. View this article in WRRO
- Phase transitions for random geometric preferential attachment graphs. Advances in Applied Probability, Vol. 47 (2015), no. 2, p. 565-588.
- Geometric preferential attachment in non-uniform metric spaces. ELECTRONIC JOURNAL OF PROBABILITY, 18, 1-15.
All publications
Journal articles
- Competing types in preferential attachment graphs with community structure. Electronic Journal of Probability, 30. View this article in WRRO
- Phase transitions in non-linear urns with interacting types. Bernoulli, 28(4), 2546-2562. View this article in WRRO
- Fragility of nonconvergence in preferential attachment graphs with three types. Involve, 14(3), 531-540.
- Extensive condensation in a model of preferential attachment with fitness. Electronic Journal of Probability, 25(-), ---.
- Condensation in preferential attachment models with location-based
choice. Random Structures and Algorithms, 56(3), 775-795.
- Preferential attachment graphs with co-existing types of different fitnesses. Journal of Applied Probability, 55(4), 1211-1227. View this article in WRRO
- The connected component of the partial duplication graph. ALEA : Latin American Journal of Probability and Mathematical Statistics, 15, 1431-1445. View this article in WRRO
- Non-convergence of proportions of types in a preferential attachment graph with three co-existing types. Electronic Communications in Probability, 23(54), 1-12.
- Preferential attachment with choice. Random Structures and Algorithms, 48(4), 751-766. View this article in WRRO
- Phase Transitions for Random Geometric Preferential Attachment Graphs. Advances in Applied Probability, 47(02), 565-588.
- Phase transitions for random geometric preferential attachment graphs. Advances in Applied Probability, Vol. 47 (2015), no. 2, p. 565-588.
- Random walk attachment graphs. ELECTRONIC COMMUNICATIONS IN PROBABILITY, 18.
- Geometric preferential attachment in non-uniform metric spaces. ELECTRONIC JOURNAL OF PROBABILITY, 18, 1-15.
- Randomised reproducing graphs. Electronic Journal of Probability, 16, 1549-1562.
- PREFERENTIAL DUPLICATION GRAPHS. J APPL PROBAB, 47(2), 572-585.
- DEGREE SEQUENCES OF GEOMETRIC PREFERENTIAL ATTACHMENT GRAPHS. ADV APPL PROBAB, 42(2), 319-330.
- THE SPECTRA OF THE LAPLACIANS OF FRACTAL GRAPHS NOT SATISFYING SPECTRAL DECIMATION. P EDINBURGH MATH SOC, 53, 731-746.
- Further Properties of Reproducing Graphs.. Applied Mathematics, 1, 344-350.
- COMB GRAPHS AND SPECTRAL DECIMATION. GLASGOW MATH J, 51, 71-81.
- Spectrum of the Laplacian of an asymmetric fractal graph. P EDINBURGH MATH SOC, 49, 101-113.
- The degree sequences and spectra of scale-free random graphs. RANDOM STRUCT ALGOR, 29(2), 226-242.
- A random hierarchical lattice: the series-parallel graph and its properties. Advances in Applied Probability, 36(3), 824-838.
- Reversible complex Henon maps. EXP MATH, 11(3), 339-347.
- Almost sure convergence for iterated functions of independent random variables. Annals of Applied Probability, 12(3), 985-1000.
- Almost sure convergence for iterated functions of independent random variables. HP Laboratories Technical Report, BRIMS(14).
Preprints
- Critical branching processes in random environment with immigration and an application to randomised reproducing graphs.
- Competing types in preferential attachment graphs with community structure, arXiv.
- Fragility of non-convergence in preferential attachment graphs with three types, arXiv.
- Phase transitions in non-linear urns with interacting types.
- Non-convergence of proportions of types in a preferential attachment graph with three co-existing types, arXiv.
- Preferential attachment with choice, arXiv.
- Phase transitions for random geometric preferential attachment graphs, arXiv.
- Random walk attachment graphs, arXiv.
- Extensive condensation in a model of preferential attachment with fitness. Electronic Journal of Probability, 25(-), ---.
- Research group
- Teaching activities
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MAS113 Introduction to Probability and Statistics