6 citations · 6 across the 10 of their papers we have counts for
13 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…
On the Dirac Faber-Krahn Conjecture
Habib Ammari, Jiayu Qiu
In this paper, we prove the strict Faber-Krahn inequality for non-negative-mass Dirac operators on simply connected domains with infinite-mass boundary condition. Denoting the firs…
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…
Nonlinear Modal Reduction for Subwavelength Dielectric Scattering
Habib Ammari, Ioan Gorea, Bowen Li
We study three-dimensional wave scattering by high-index dielectric resonators with Kerr-type nonlinearity under plane-wave incidence, together with the associated nonlinear dielec…
Nonlinear subwavelength resonances and bound states in the continuum in metascreens
Habib Ammari, Yu Gao
This paper establishes a mathematical framework for nonlinear subwavelength resonances and bound states in the continuum (BIC) in an acoustic metascreen with a cubic Kerr nonlinear…
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…
Robustness of Valley-Hall Interface Modes Against Sharp Bending
Habib Ammari, Jiayu Qiu
It is well known that band inversion across a straight interface in a periodic medium gives rise to interface modes that are localized near the interface and propagate along it ins…
Symmetry-protected Interface Modes Bifurcated from Double Dirac Cones
Habib Ammari, Jiayu Qiu
We rigorously prove the existence of interface modes in a sharp interface model, which bifurcate from the double Dirac cone as a consequence of the band inversion induced by super-…
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…
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…
Dielectric scattering resonances for high-refractive resonators with cubic nonlinearity
Habib Ammari, Bowen Li
This work establishes a rigorous mathematical framework for the analysis of nonlinear dielectric resonances in wave scattering by high-index resonators with Kerr-type nonlinearitie…
FloquetBloch analysis of wave propagation with time-periodic coefficients
Jörg Nick, Ralf Hiptmair, Habib Ammari
This paper presents a numerical investigation of acoustic wave propagation in an obstacle with periodically time-modulated material parameters. We focus on the numerical constructi…
Mathematical analysis of electromagnetic scattering by dielectric nanoparticles with high refractive indices
Habib Ammari, Bowen Li, Jun Zou
In this work, we are concerned with the mathematical modeling of the electromagnetic (EM) scattering by arbitrarily shaped non-magnetic nanoparticles with high refractive indices.…