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Creators/Authors contains: "Shipman, Stephen P"

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  1. ; ; (, SIAM Journal on Mathematical Analysis)
    We analyze the spectrum of the Neumann-Poincaré (NP) operator for a doubly connected domain lying between two level curves defined by a conformal mapping, where the inner boundary of the domain is of general shape. The analysis relies on an infinite-matrix representation of the NP operator involving the Grunsky coefficients of the conformal mapping and an application of the Gershgorin circle theorem. As the thickness of the domain shrinks to zero, the spectrum of the doubly connected domain approaches the interval [−1/2, 1/2] in the Hausdorff distance and the density of eigenvalues approaches that of a thin circular annulus. 
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    Free, publicly-accessible full text available June 30, 2026
  2. ; (, Physica D: Nonlinear Phenomena)
    In a tight-binding model of AA-stacked bilayer graphene, it is demonstrated that a bound defect state within the region of continuous spectrum can exist stably with respect to variations in the strength of a perpendicular magnetic field. This is accomplished by creating a defect that is compatible with the interlayer coupling, thereby shielding the bound state from the effects of the continuous spectrum, which varies erratically in a pattern known as the Hofstadter butterfly. 
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  3. ; ; (, SIAM Journal on Mathematical Analysis)
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  4. ; ; (, Communications in Mathematical Physics)
    null (Ed.)
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  5. ; (, Letters in Mathematical Physics)
    null (Ed.)
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  6. ; ; ; (, Mathematika)
    null (Ed.)
    For the Schrödinger equation −d2u/dx2+q(x)u=λu on a finite x-interval, there is defined an "asymmetry function" a(λ;q), which is entire of order 1/2 and type 1 in λ. Our main result identifies the classes of square-integrable potentials q(x) that possess a common asymmetry function. For any given a(λ), there is one potential for each Dirichlet spectral sequence. 
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    Accepted Manuscript Full Text Available
  7. ; ; (, SIAM Journal on Applied Mathematics)
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  8. ; (, Journal of Integral Equations and Applications)
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