Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T14:16:45.784828Z
Paper Citation Record · LEDGER
As of 11 August 2026, this Paper Citation Record lists 71 of 71 outbound references and 6 inbound Pith citation observations for arXiv:2501.15531.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T14:16:45.784828Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T15:10:42.098153Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-06-29T01:02:56.213693Z
71 of 71 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 0ff36559-dc76-47e8-addd-79483938d077 · outbound
Bulk-edge correspondence in finite photonic structure Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations: Bounds on Eigenfunctions of N-Body Schrodinger Operations
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6ccb03e3-fc9d-47c7-b838-214fbbfdf178 · outbound
Bulk-edge correspondence in finite photonic structure Analyticity of layer potentials and l2 solvability of boundary value problems for divergence form elliptic equ ations with complex l∞ coefficients
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8ab375a3-9043-4e9e-9665-2f0114f06814 · outbound
Bulk-edge correspondence in finite photonic structure Mathematical foundations of the non-hermitian skin effect
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3d459536-cda0-459d-b176-ef426c3f690d · outbound
Bulk-edge correspondence in finite photonic structure Applications of Chebyshev polynomials and Toeplitz theory to topological metamaterials
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 85990ba3-3e93-4b9e-8a35-808266268b72 · outbound
Bulk-edge correspondence in finite photonic structure Regularity theorems and heat kernel for ellipt ic operators
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation cdd67c04-bba0-44d1-a269-9a9b8f9c32c9 · outbound
Bulk-edge correspondence in finite photonic structure Heat kernels of second order complex elliptic operators and applications
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 351ef06c-4031-400b-8feb-847e43104887 · outbound
Bulk-edge correspondence in finite photonic structure Equivalence between re gularity theorems and heat kernel es- timates for higher order elliptic operators and systems under diver gence form
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4247c754-6f33-4ef7-a183-24e9e1f895ed · outbound
Bulk-edge correspondence in finite photonic structure Gaussian estimates for se cond order elliptic divergence operators on lipschitz and c 1 domains
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1322195a-43ab-483b-88c0-31976403f634 · outbound
Bulk-edge correspondence in finite photonic structure Topological invariants of edge states for periodic two-dimensional models
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9a8b3072-e3ad-4908-899a-23c49cfafe2c · outbound
Bulk-edge correspondence in finite photonic structure Avron, Ruedi Seiler, and Barry Simon
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0d187990-55bc-4729-9ab8-b610a5d9e8e7 · outbound
Bulk-edge correspondence in finite photonic structure Continuous bulk and interface description of topolo gical insulators
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 49bf5988-ddfe-4bbb-a87a-c7f3e55dbec5 · outbound
Bulk-edge correspondence in finite photonic structure Topological charge conservation for continuous in sulators
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation fe230b01-0ecc-40d5-b5f1-15ef05eefd55 · outbound
Bulk-edge correspondence in finite photonic structure Edge state dynamics along curved interfaces
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ef12d7c9-8bdf-47e4-b31f-c42c45e71e32 · outbound
Bulk-edge correspondence in finite photonic structure Andrei Bernevig and Taylor L
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ea625c35-b629-4535-a5a4-29d09ea4bbaa · outbound
Bulk-edge correspondence in finite photonic structure Hamiltonian treatment of the electrom agnetic field in dispersive and absorptive structured media
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f5940a16-9444-4dd8-bb02-28c62cb4ef52 · outbound
Bulk-edge correspondence in finite photonic structure As ymptotic behavior of green functions of divergence form operators with periodic coefficients
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4399c440-47b2-482d-a142-95e9251654d1 · outbound
Bulk-edge correspondence in finite photonic structure The k-th eoretic bulk–edge correspondence for topological insulators
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation be79398f-f807-40ee-99cf-819412e74ef2 · outbound
Bulk-edge correspondence in finite photonic structure The spectral flow of a family of toeplitz opera tors, 2018
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 58ddd8ff-9193-436b-b8f3-a1c3164ddaa4 · outbound
Bulk-edge correspondence in finite photonic structure Kernels of trace class operators
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6c1c97db-74d3-468b-9897-707580554eb1 · outbound
Bulk-edge correspondence in finite photonic structure Conca, J
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fb4d0b07-857b-4a7c-8b5d-391d30846248 · outbound
Bulk-edge correspondence in finite photonic structure From orbital magnetism to bulk-edge correspondence
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2c582abb-d1ec-4805-a515-72a4ea52029d · outbound
Bulk-edge correspondence in finite photonic structure Symmetry Classification of Topological Photonic Crystals
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6f969715-8f58-40d6-955b-16bdc96a210b · outbound
Bulk-edge correspondence in finite photonic structure Regularity theory for solutions to second order elliptic operators with complex coefficients and the lp dirichlet problem
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3ddd8bca-1093-4697-84ea-1228d3ec20b0 · outbound
Bulk-edge correspondence in finite photonic structure Microlocal analysis of the bulk-edge correspond ence
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 98a67fd4-723c-42c4-b3aa-3cd9c6fb9ccd · outbound
Bulk-edge correspondence in finite photonic structure The bulk-edge correspondence for curved interfaces, 2024
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 29fe686d-88c1-433f-9fee-04d76f253df5 · outbound
Bulk-edge correspondence in finite photonic structure The Electronic Structure of Smoothly Deformed Crystals: Wannier Functions and the Cauchy-Born Rule
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e1675cec-0082-40ba-947c-e6ba6fd2d8f1 · outbound
Bulk-edge correspondence in finite photonic structure Equality of the bulk and edge hall conductances in a mobility gap
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9525d1a2-1a90-4035-8af1-c9a3180b7a3f · outbound
Bulk-edge correspondence in finite photonic structure On second-or der periodic elliptic operators in divergence form
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1d24598b-0a67-4d0a-b9c5-e2ff7779d9e5 · outbound
Bulk-edge correspondence in finite photonic structure Continuum schroedinger operat ors for sharply terminated graphene-like structures
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0a8e4bbd-2f3a-4bf3-9012-298a7970c085 · outbound
Bulk-edge correspondence in finite photonic structure Localization of classical waves i: Acoustic waves
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e617086e-ce1e-47ce-bf04-84d3a6e7876b · outbound
Bulk-edge correspondence in finite photonic structure Bulk-edge correspondenc e for two-dimensional topological insu- lators
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 809b5a33-2e09-41bd-8c5c-8daf34f4e9fe · outbound
Bulk-edge correspondence in finite photonic structure The bulk-edge correspond ence for disordered chiral chains
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e1336c3e-a855-474d-9e9f-89bfed1b9a7d · outbound
Bulk-edge correspondence in finite photonic structure The green function for u niformly elliptic equations
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4c7ed82d-0195-40ed-b57f-16858a5cb278 · outbound
Bulk-edge correspondence in finite photonic structure Unresolved cited work
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5b7d4dbe-6b02-4b85-a969-eaefb9992015 · outbound
Bulk-edge correspondence in finite photonic structure Chern number and edge states in the intege r quantum hall effect
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 055d11a3-b5a9-4cac-a5cd-feb513a41d54 · outbound
Bulk-edge correspondence in finite photonic structure The green function estimates for strongly elliptic systems of second order
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation efabe619-17ee-4e94-98e5-71c55dc1d67c · outbound
Bulk-edge correspondence in finite photonic structure Global pointwise estimates for gr een’s matrix of second order elliptic systems
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 560df72a-d55c-40d8-abc2-c6dbc37f7003 · outbound
Bulk-edge correspondence in finite photonic structure Perturbation theory for linear operators , volume 132
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 52295f70-05b6-4468-912a-80b1c329d77d · outbound
Bulk-edge correspondence in finite photonic structure Kellendonk, T
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1f65402f-a631-4971-941a-9da88cab6301 · outbound
Bulk-edge correspondence in finite photonic structure Boundary ma ps for c*-crossed products with with an application to the quantum hall effect
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 77eb8d9c-8891-40d9-a0a0-4bd1f1891ea4 · outbound
Bulk-edge correspondence in finite photonic structure Quantization of edge currents for continuous magnetic operators
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d48696f0-321c-4a38-9531-36e6fc00061e · outbound
Bulk-edge correspondence in finite photonic structure Photonic topological insulators
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 459cb978-7418-4556-9421-f910bf62d78b · outbound
Bulk-edge correspondence in finite photonic structure Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c614d92f-4f39-48db-a910-5ae7dc0f3e19 · outbound
Bulk-edge correspondence in finite photonic structure Controlled topological phases and bulk-edge c orrespondence
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7de892d2-42c5-4d89-9d27-fc821c4ea501 · outbound
Bulk-edge correspondence in finite photonic structure Green’s function asymptot ics near the internal edges of spectra of periodic elliptic operators
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0b940486-29c3-43b0-bb04-2d144465e2b3 · outbound
Bulk-edge correspondence in finite photonic structure Statistical Physics: Volume 5 , volume 5
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 619ecf72-2b13-4697-a290-46c235f5d28e · outbound
Bulk-edge correspondence in finite photonic structure Archive for Rational Mechanics and Analysis , 232:1–63, 2019
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 249c2f00-c648-4f49-af16-be38eadc96ce · outbound
Bulk-edge correspondence in finite photonic structure Mathematical theory for topologic al photonic materials in one dimension
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation afeafa35-5a92-4cdd-aa59-f31749e15981 · outbound
Bulk-edge correspondence in finite photonic structure Cobordism invariance of topological edge-following states
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 17dff1e8-431c-40c8-8a4b-0b83b0e17a9c · outbound
Bulk-edge correspondence in finite photonic structure The lp resolvents of second-order elliptic opera tors of divergence form under the dirichlet condition
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 425351fd-c02a-4be9-a310-8caa626544d8 · outbound
Bulk-edge correspondence in finite photonic structure Price, Alberto Amo, Nathan Goldman, Mohammad Hafezi, Ling Lu, Mikael C
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 551f15dc-fea1-4e18-975a-7375d7f48871 · outbound
Bulk-edge correspondence in finite photonic structure An introduction to quantum field theory
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f35fc39c-e603-4170-8045-056955414f4b · outbound
Bulk-edge correspondence in finite photonic structure Bulk and boundary inva riants for complex topological insula- tors
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f6267e93-4e10-434b-9901-53a7d709a2d5 · outbound
Bulk-edge correspondence in finite photonic structure Topological insulators an d superconductors
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ab0e4b0b-beca-47f7-828e-39dcef98f5c4 · outbound
Bulk-edge correspondence in finite photonic structure Methods of modern mathematical physics , volume 1
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0db6ae5c-f3bf-4fb5-8c4c-87d2735056b0 · outbound
Bulk-edge correspondence in finite photonic structure Green’s function and convergence of fourier se ries for elliptic differential operators with potential from kato space
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ade9fc35-4c99-4731-933f-b79a4d4b4da1 · outbound
Bulk-edge correspondence in finite photonic structure Tight-binding reduction a nd topological equivalence in strong magnetic fields
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3f43d2db-0065-46fb-8972-f4ade468ff9b · outbound
Bulk-edge correspondence in finite photonic structure Silveirinha
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5398c4f8-90b1-4247-92d1-207d5dce7b6c · outbound
Bulk-edge correspondence in finite photonic structure Silveirinha
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1ee33474-860e-4767-9688-e377082c2ce1 · outbound
Bulk-edge correspondence in finite photonic structure Silveirinha
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2861434e-b767-4a8e-9d9a-92e130c9aa36 · outbound
Bulk-edge correspondence in finite photonic structure Quantum Hall Effect
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b2157382-6e91-40cf-8d42-8db37069b1c5 · outbound
Bulk-edge correspondence in finite photonic structure Equality of bulk and edge hall conductances for continuous magnetic random schr¨ odinger operators, 2014
Reference 62
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2d84e01d-7131-4d0d-8766-79f64292b2e8 · outbound
Bulk-edge correspondence in finite photonic structure The green function for elliptic systems in two dimensions
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 23613c02-1ff3-4484-9333-5385a9a366f7 · outbound
Bulk-edge correspondence in finite photonic structure Bulk-interface corresponde nces for one-dimensional topological ma- terials with inversion symmetry
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e17c215c-cc07-484f-a833-1e8b16aa48ac · outbound
Bulk-edge correspondence in finite photonic structure Kinetic theory
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e07383e2-27f1-44b1-b07b-9f0f82436c8f · outbound
Bulk-edge correspondence in finite photonic structure Lectures on the quantum hall effect, 2016
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c2032da5-67c3-4cfd-ac5b-8ad9210e3127 · outbound
Bulk-edge correspondence in finite photonic structure 40 years of the quantum hall effect
Reference 67
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 81f2a21b-5036-4140-aed7-9a33d802ae32 · outbound
Bulk-edge correspondence in finite photonic structure Uniform estimates of resolvents in homogenization th eory of elliptic systems
Reference 68
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation cd21ef56-f713-48d5-8db1-b959bbd8fcb4 · outbound
Bulk-edge correspondence in finite photonic structure Observation of unidirectional backscattering-immune topological electromagnetic states
Reference 69
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b8dac08c-3546-4841-9a88-0713d9d8b3a2 · outbound
Bulk-edge correspondence in finite photonic structure Interband transitions in photonic crystals
Reference 70
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e7935fbc-3b5a-49f5-96d6-4fdcf86b809c · outbound
Bulk-edge correspondence in finite photonic structure Unresolved cited work
Reference 71
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 25afca19-dfbd-4de4-8a7e-bd96cd34694c · inbound
Generalized bulk-interface correspondence for non-quantized spin transport Bulk-edge correspondence in finite photonic structure
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4ea66c94-db5a-4147-ac56-2af9daaba4dd · inbound
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions Bulk-edge correspondence in finite photonic structure
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 80f18cff-6937-4a2f-a6b9-d826aa08da5c · inbound
Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems Bulk-edge correspondence in finite photonic structure
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2beffac3-81ff-4835-8a74-eb4ce2f3fab1 · inbound
Robustness of Valley-Hall Interface Modes Against Sharp Bending Bulk-edge correspondence in finite photonic structure
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation fc9dc9f5-0d0d-46b4-9332-f9078bf293df · inbound
Resolvent Convergence and Patch Approximation for Subwavelength Guided Modes in Non-Periodic Systems of High-Contrast Resonators Bulk-edge correspondence in finite photonic structure
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2af5066c-af5e-4281-b4d0-2c50dfc7bd1b · inbound
Exceptional light propagation via generalized bulk-edge correspondence Bulk-edge correspondence in finite photonic structure
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.