Research Interests:
Random graphs, especially inhomogenous random graphs and their phase transitions; percolation, in particular percolation in random environments.
Prizes, Awards and Scholarships:
London Mathematical Society Whitehead Prize, 2007
Recent Publications (from MathSciNet):
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MR2915649 Pending Balogh, József; Bollobás, Béla; Morris, Robert; Riordan, Oliver Linear algebra and bootstrap percolation.
J. Combin. Theory Ser. A 119 (2012), no. 6, 1328–1335. 05C80 (60K35)
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MR2900063 Pending Riordan, Oliver The phase transition in the configuration model.
Combin. Probab. Comput. 21 (2012), no. 1-2, 265–299. 05C80 (60K35)
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MR2865157 Reviewed Ceriotti, Michele; Brain, Guy A. R.; Riordan, Oliver; Manolopoulos, David E. The inefficiency of re-weighted sampling and the curse of system size
in high-order path integration.
Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 468 (2012), no. 2137, 2–17. 60-08
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MR2880662 Pending Janson, Svante; Riordan, Oliver Susceptibility in inhomogeneous random graphs.
Electron. J. Combin. 19 (2012), no. 1, Paper 31, 59 pp. 05C80 (60J80 60K35)
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MR2871766 Reviewed Bollobás, Béla; Riordan, Oliver Asymptotic normality of the size of the giant component via a random
walk.
J. Combin. Theory Ser. B 102 (2012), no. 1, 53–61. (Reviewer: Jan Hladký) 05C80 (05C81 60F05 60G42 60J80)
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MR2816939 Reviewed Janson, Svante; Riordan, Oliver Duality in inhomogeneous random graphs, and the cut metric.
Random Structures Algorithms 39 (2011), no. 3, 399–411. 05C80
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MR2839983 Reviewed Bollobás, Béla; Riordan, Oliver Sparse graphs: metrics and random models.
Random Structures Algorithms 39 (2011), no. 1, 1–38. (Reviewer: Michael Krivelevich) 05C80 (60C05)
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MR2663731 Reviewed Bollobás, Béla; Janson, Svante; Riordan, Oliver Sparse random graphs with clustering.
Random Structures Algorithms 38 (2011), no. 3, 269–323. (Reviewer: Tatyana S. Turova) 60C05 (05C80 60F05 60J80 60K35)
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MR2768883 Reviewed Bollobás, Béla; Janson, Svante; Riordan, Oliver On covering by translates of a set.
Random Structures Algorithms 38 (2011), no. 1-2, 33–67. (Reviewer: Peter Gordon Anderson) 05B45 (05B40 52C17)
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MR2815602 Reviewed Bollobás, Béla; Riordan, Oliver Percolation on self-dual polygon configurations.
An irregular mind,
131–217, Bolyai Soc. Math. Stud., 21, János Bolyai Math. Soc., Budapest, 2010. (Reviewer: Antal A. Járai) 60K35 (06B99 52B12)
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