Article

Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay
Late-time wave tails decay at different rates along future null infinity and along timelike worldlines at finite radius. A compactified …
Anıl Zenginoğlu, Sebastiano Bernuzzi, Andrea Nützi
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Quantum error correction and biological error correction: A structural analogy between qubits and neurons
We draw a structural analogy between quantum error correction (QEC) and error handling in neural circuits with respect to their …
Ian Whitehouse, Anıl Zenginoğlu, Franz Klein, Mohe Edeen Abu Maizer, Wilson Smith, Skylar Chan, Siri Duddella, Wolfgang Losert
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Finite Elements for Helmholtz Scattering with Infinity as a Computational Boundary
Building on the null-infinity-layer construction, we develop an $H^1$-conforming finite-element formulation of hyperboloidal …
Markus Wess, Anıl Zenginoğlu
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Hyperboloidal evolution for scalar scattering in Minkowski space
We develop a time-domain numerical framework for global scalar wave scattering in Minkowski spacetime. The main contribution is an …
Ekrem S Demirboğa, Anıl Zenginoğlu
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From Penrose to Melrose: Computing Scattering Amplitudes at Infinity for Unbounded Media
We develop a method to compute scattering amplitudes for the Helmholtz equation in variable, unbounded media with possibly long-range …
Anıl Zenginoğlu
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Symmetric integration of the 1+1 Teukolsky equation on hyperboloidal foliations of Kerr spacetimes
This work outlines a fast, high-precision time-domain solver for scalar, electromagnetic and gravitational perturbations on …
Charalampos Markakis, Sean Bray, Anıl Zenginoğlu
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