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    Ron Buckingham

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    "28435 Lac Ron Buckingham 13 Squadron Darwin Daly Waters Manbulloo Hughes Field 1941 - 1943 Now T.P.I. Badge 5127".28435 Leading Aircraftman Ron Buckingham 13 Squadron Darwin Daly Waters Manbulloo Hughes Field 1941 - 1943 Now Totally and Permanently Incapacitated, Badge 5127

    Changing of guard, Buckingham Palace, 1944

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    Photograph of the changing of the guard at Buckingham Palace by Dr. Edgar Hyde of the 91st Evacuation Hospital, taken 11 February 1944.Title by Edgar Hyde from the original negative enclosure

    Changing of guard, Buckingham Palace, 1944

    No full text
    Photograph of the changing of the guard at Buckingham Palace by Dr. Edgar Hyde of the 91st Evacuation Hospital, taken 11 February 1944.Title by Edgar Hyde from the original negative enclosure

    Changing of guard, Buckingham Palace, 1944

    No full text
    Photograph of the changing of the guard at Buckingham Palace by Dr. Edgar Hyde of the 91st Evacuation Hospital, taken 11 February 1944.Title by Edgar Hyde from the original negative enclosure

    Spectra of Random Hermitian Matrices with a Small-Rank External Source: The Critical and Near-Critical Regimes

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    Random Hermitian matrices are used to model complex systems without time-reversal invariance. Adding an external source to the model can have the effect of shifting some of the matrix eigenvalues, which corresponds to shifting some of the energy levels of the physical system. We consider the case when the n×n external source matrix has two distinct real eigenvalues: a with multiplicity r and zero with multiplicity n−r. For a Gaussian potential, it was shown by Péché (Probab. Theory Relat. Fields 134:127–173, 2006) that when r is fixed or grows sufficiently slowly with n (a small-rank source), r eigenvalues are expected to exit the main bulk for |a| large enough. Furthermore, at the critical value of a when the outliers are at the edge of a band, the eigenvalues at the edge are described by the r-Airy kernel. We establish the universality of the r-Airy kernel for a general class of analytic potentials for r=O(nγ) for 0≤γ<1/12
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