Observation Contact Spectra

This work introduces observation contact spectra for analytic observation operators near rank-loss loci. Smith exponents classify the local analytic degeneration, determine singular-value and Fisher-information scaling, and support finite-jet recovery, serial composition laws, divisorial arc analysis, and exact Gaussian minimax resolution.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-25
DOI
https://doi.org/10.5281/zenodo.20844137
Primary Topic
Random Matrices and Applications
Type
preprint
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preprint

Observation Contact Spectra

Hiroyuki Shioiri
Zenodo (CERN European Organization for Nuclear Research)
Random Matrices and Applications
preprint

Observation Contact Spectra

Hiroyuki Shioiri
preprint en

Abstract

This work introduces observation contact spectra for analytic observation operators near rank-loss loci. Smith exponents classify the local analytic degeneration, determine singular-value and Fisher-information scaling, and support finite-jet recovery, serial composition laws, divisorial arc analysis, and exact Gaussian minimax resolution.

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Random Matrices and Applications
DOIOpen Access PDFOpenAlex
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Observation Contact Spectra — Hiroyuki Shioiri · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS