8 papers
Correct Answers, Unsupported Findings: Evidence Binding in Forensic Reconstruction of LLM Agent Logs
Taehyeon Yun, Dongho Kim, Geonwoo Kim +3
Forensic reconstruction of LLM-agent actions requires not only recovering the correct value, but establishing which preserved record supports that finding. Tool logs, generated exp…
Waveguiding in systems of high contrast resonators: Theory and fast computations
Habib Ammari, Bowen Li, Borui Miao +2
In this work, we study guided modes in systems of high-contrast resonators near nonzero interior Neumann frequencies, beyond the subwavelength regime. In the regular exterior regim…
Long-range interactions and Anderson localisation for one-dimensional high-contrast resonator chain
Habib Ammari, Silvo Barandun, Jiayu Qiu +1
Spectral and transport properties of high-contrast resonator systems can be described in the subwavelength regime in terms of the so-called capacitance operator. In this paper, we…
Resolvent Convergence and Patch Approximation for Subwavelength Guided Modes in Non-Periodic Systems of High-Contrast Resonators
Habib Ammari, Borui Miao, Jiayu Qiu
This paper develops, analyzes, and validates a fast algorithm for computing guided modes within bent interfaces and non-periodic defects in high-contrast resonator crystals, where…
Non-Hermitian Fabry-Pérot Resonances
Habib Ammari, Erik Orvehed Hiltunen, Bowen Li +4
We characterise non-Hermitian Fabry-Pérot resonances in high-contrast resonator systems and study the properties of their associated resonant modes from continuous differential mod…
Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems
Habib Ammari, Jiayu Qiu
In this paper, we rigorously prove the bulk-edge correspondence for finite two-dimensional ergodic disordered systems. Specifically, we focus on the short-range Hamiltonians with e…
Topological interface modes in aperiodic subwavelength resonator chains
Habib Ammari, Jiayu Qiu, Alexander Uhlmann
We consider interface modes in block disordered subwavelength resonator chains in one dimension. Based on the capacitance operator formulation, which provides a first-order approxi…
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions
Habib Ammari, Jiayu Qiu
This work provides a mathematical framework for elucidating physical mechanisms for confining waves at subwavelength scales in periodic systems of nonlinear resonators. A discrete…