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njguliyev.bsky.social
“Inverse square singularities and eigenparameter dependent boundary conditions are two sides of the same coin” can be freely accessed at
academic.oup.com/qjmath/artic...

#spectraltheory #inverseproblems #Bessel #Darboux #Schrödinger #supersymmetry
Inverse square singularities and eigenparameter-dependent boundary conditions are two sides of the same coin
Abstract. We show that inverse square singularities can be treated as boundary conditions containing rational Herglotz–Nevanlinna functions of the eigenval
academic.oup.com
February 3, 2025 at 11:27 PM
biblicirm.bsky.social
🆕🎬Wave propagation in guiding structures
erri, Alessandra (2025). Dimension reduction in thin domains - Lecture 1 &2. CIRM. Audiovisual resource.
dx.doi.org/10.24350/CIR...
dx.doi.org/10.24350/CIR...
@cirm-math.bsky.social #math #conference #MathematicalPhysics #FunctionalAnalysis #SpectralTheory
November 21, 2025 at 4:35 PM
informaq.bsky.social
Establishes exact strong-coupling asymptotic expansions for three-boson bound states on optical lattices, proving linear spectral gaps and logarithmic ground-state localization with direct applications to quantum simulation benchmarking.

#QuantumSimulation #SpectralTheory #Research
Spectral Asymptotics and Exponential Localization of Three-Boson Lattice Systems
arxiv.org
September 3, 2026 at 6:25 AM
goldenphysics.org
Toupin, D. (2025). Holding the Line: How Haar Measure, Functional Symmetry, and Compactness Force the Riemann Hypothesis. Zenodo. doi.org/10.5281/zeno...

#Skyence #NumberTheory #SpectralTheory #MeasureTheory #ComplexAnalysis #BrownianMotion #RiemannHypothesis #ZetaFuction #MillenniumPrizeProblems
Holding the Line: How Haar Measure, Functional Symmetry, and Compactness Force the Riemann Hypothesis
We prove that all non-trivial zeros of the Riemann zeta function ζ(s) lie on the critical line Re(s) = 1/2. We establish this result via three independent proofs using different mathematical framework...
doi.org
January 26, 2026 at 5:47 PM
informaq.bsky.social
Exact analysis of how unitary systems achieve effective dissipation without external loss; identifies two phases where truncated operator methods capture or hide true relaxation rates through spectral mathematics.

#QuantumDynamics #SpectralTheory #UniversalityInQuantum
Solvable Relaxation in Unitary Systems: Ruelle-Pollicott Resonances and CMV Matrices
arxiv.org
August 31, 2026 at 5:37 AM
njguliyev.bsky.social
One-sentence proof of McLaughlin and Rundell's inverse uniqueness theorem

#spectraltheory #Schrödinger #inverseproblems
(PDF) On the McLaughlin–Rundell theorem
PDF | We give a one-sentence proof of McLaughlin and Rundell's inverse uniqueness theorem. | Find, read and cite all the research you need on ResearchGate
www.researchgate.net
May 24, 2025 at 2:03 PM
njguliyev.bsky.social
"Spectral identities for Schrödinger operators" has now been published in the paginated issue. #OpenAccess @cambridgeup.bsky.social

doi.org/10.4153/S000...

#spectraltheory #Schrödinger #inverseproblems
Spectral identities for Schrödinger operators | Canadian Mathematical Bulletin | Cambridge Core
Spectral identities for Schrödinger operators - Volume 68 Issue 2
doi.org
April 23, 2025 at 6:14 PM
getnews-me.bsky.social
A 24‑page arXiv manuscript surveys recent advances from Toeplitz to GLT frameworks and lists open problems, released 23 Sep 2025. Read more: https://getnews.me/advances-and-open-problems-in-spectral-theory-of-matrix-sequences/ #spectraltheory #matrixsequences
Advances and Open Problems in Spectral Theory of Matrix Sequences
September 26, 2025 at 2:33 PM
costaction24122.bsky.social
📸 Highlights from "New Challenges for Dirac Operators" in Madrid 🇪🇸

Five days of scientific exchange on Dirac-type operators.

✨ 11 invited talks
🎤 10 contributed talks
📝 Open Problem Session
🌱 Poster Session & Young Researcher Awards

#mSPACE #MathematicalPhysics #SpectralTheory
June 9, 2026 at 12:17 PM