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20022026
most citedStealing Machine Learning Models via Prediction APIs

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math.AP2013

Higher Dimensional Vortex Standing Waves for Nonlinear Schr{ö}dinger Equations

Jeremy L. Marzuola, Michael E. Taylor

We study standing wave solutions to nonlinear Schr{ö}dinger equations, on a manifold with a rotational symmetry, which transform in a natural fashion under the group of rotations.…

math.RT2013★ 2 cited

Diagram automorphisms and Rank-Level duality

Swarnava Mukhopadhyay

We study the effect of diagram automorphisms on rank-level duality. We use it to prove new symplectic rank-level dualities on genus zero smooth curves with marked points and chosen…

math.NA2013

Strang Splitting Methods for a quasilinear Schrödinger equation - Convergence, Instability and Dynamics

Jianfeng Lu, Jeremy L. Marzuola

We study the Strang splitting scheme for quasilinear Schrödinger equations. We establish the convergence of the scheme for solutions with small initial data. We analyze the linear…

math.AP2013

The Structure of Global Attractors for Dissipative Zakharov Systems with Forcing on the Torus

M. Burak Erdogan, Jeremy L. Marzuola, Katherine A. Newhall +1

The Zakharov system was originally proposed to study the propagation of Langmuir waves in an ionized plasma. In this paper, motivated by earlier work of the first and third authors…

math.AP2013

Exterior mass estimates and restriction bounds for Neumann data along hypersurfaces

Hans Christianson, Andrew Hassell, John A. Toth

We study the problem of estimating the norm of Laplace eigenfunctions on a compact Riemannian manifold when restricted to a hypersurface . We prove mass estimates for…