Dr Jonathan Jordan

All publications

Journal articles

• Costa M & Jordan J (2022) Phase transitions in non-linear urns with interacting types. Bernoulli, 28(4), 2546-2562.
• Andrews B & Jordan J (2021) Fragility of non-convergence in preferential attachment graphs with three types. Involve, 14(3), 531-540.
• Freeman N & Jordan J (2020) Extensive condensation in a model of preferential attachment with fitness. Electronic Journal of Probability, 25. View this article in WRRO
• Haslegrave J, Jordan J & Yarrow M (2019) Condensation in preferential attachment models with location-based choice. Random Structures and Algorithms. View this article in WRRO
• Jordan JH (2018) Preferential attachment graphs with co-existing types of different fitnesses. Journal of Applied Probability, 55(4), 1211-1227. View this article in WRRO
• Jordan JH (2018) 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
• Haslegrave J & Jordan J (2018) Non-convergence of proportions of types in a preferential attachment graph with three co-existing types. Electronic Communications in Probability, 23(54), 1-12. View this article in WRRO
• Jordan J (2018) The connected component of the partial duplication graph. Alea, 15(2), 1431-1445.
• Haslegrave J & Jordan J (2016) Preferential attachment with choice. Random Structures & Algorithms, 48(4), 751-766. View this article in WRRO
• Jordan J & Wade AR (2015) Phase Transitions for Random Geometric Preferential Attachment Graphs. Advances in Applied Probability, 47(02), 565-588.
• Cannings C & Jordan J (2013) Random walk attachment graphs. ELECTRONIC COMMUNICATIONS IN PROBABILITY, 18. View this article in WRRO
• Jordan J (2013) Geometric preferential attachment in non-uniform metric spaces. ELECTRONIC JOURNAL OF PROBABILITY, 18, 1-15.
• Jordan J (2011) Randomised reproducing graphs. Electronic Journal of Probability, 16, 1549-1562. View this article in WRRO
• Jordan J (2010) THE SPECTRA OF THE LAPLACIANS OF FRACTAL GRAPHS NOT SATISFYING SPECTRAL DECIMATION. P EDINBURGH MATH SOC, 53, 731-746. View this article in WRRO
• Jordan J (2010) DEGREE SEQUENCES OF GEOMETRIC PREFERENTIAL ATTACHMENT GRAPHS. ADV APPL PROBAB, 42(2), 319-330.
• Cohen N, Jordan J & Voliotis M (2010) PREFERENTIAL DUPLICATION GRAPHS. J APPL PROBAB, 47(2), 572-585. View this article in WRRO
• Jordan J & Southwell R (2010) Further Properties of Reproducing Graphs.. Applied Mathematics, 1, 344-350.
• Jordan J (2009) COMB GRAPHS AND SPECTRAL DECIMATION. GLASGOW MATH J, 51, 71-81. View this article in WRRO
• Jordan J (2006) The degree sequences and spectra of scale-free random graphs. RANDOM STRUCT ALGOR, 29(2), 226-242.
• Jordan J (2006) Spectrum of the Laplacian of an asymmetric fractal graph. P EDINBURGH MATH SOC, 49, 101-113.
• Jordan JH & Hambly BM (2004) A random hierarchical lattice: the series-parallel graph and its properties. Advances in Applied Probability, 36(3), 824-838.
• Jordan CR, Jordan DA & Jordan JH (2002) Reversible complex Henon maps. EXP MATH, 11(3), 339-347.
• Jordan JH (2002) Almost sure convergence for iterated functions of independent random variables. Annals of Applied Probability, 12(3), 985-1000.
• Jordan J (2000) Almost sure convergence for iterated functions of independent random variables. HP Laboratories Technical Report, BRIMS(14).
• Jordan J & Wade AR () Phase transitions for random geometric preferential attachment graphs. Advances in Applied Probability, Vol. 47 (2015), no. 2, p. 565-588. View this article in WRRO

Preprints

• Haslegrave J, Jordan J & Yarrow M (2022) Competing types in preferential attachment graphs with community structure.
• Costa M & Jordan J (2020) Phase transitions in non-linear urns with interacting types. View this article in WRRO
• Haslegrave J, Jordan J & Yarrow M (2018) Condensation in preferential attachment models with location-based choice, arXiv.
• Cannings C & Jordan J (2013) Random walk attachment graphs, arXiv.