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eess.SP2026
Functional Multi-Target Detection via Bispectrum Inversion
Anna Little, Daniel Sanz-Alonso, Mikhail Sweeney +1
This paper develops a functional theory for multi-target detection, where a compactly supported signal is recovered from a single noisy observation containing many unknown translat…
math.PR2026
The Martin boundary of the Directed Landscape
Firas Rassoul-Agha, Mikhail Sweeney
In the directed landscape, the Martin boundary coincides with the horofunction boundary. We show that functions in this boundary are precisely the eternal solutions possessing a sp…
math.PR2026
Shocks, instability, and the twenty networks of infinite geodesics in the Directed Landscape
Firas Rassoul-Agha, Mikhail Sweeney
For stochastic Hamilton-Jacobi (SHJ) equations, instability points are the space-time locations where two eternal solutions with the same asymptotic velocity differ. Another fundam…