Item talk:Q168889: Difference between revisions

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OpenAlex: !!python/object/new:pyalex.api.Topic
{
   dictitems:
  "id": "https://openalex.org/T11022",
    cited_by_count: 427695
   "display_name": "Spectral Theory of Differential Operators",
    created_date: '2024-01-23'
  "description": "This cluster of papers focuses on the spectral theory and properties of differential operators, particularly Schr\u00f6dinger operators, on various structures such as quantum graphs and thin manifolds. It explores topics such as localization, inverse spectral problems, Anderson localization, scattering theory, and Weyl\u2013Titchmarsh theory. The papers also delve into eigenvalue estimates and applications to quantum chaos and universal spectral statistics.",
    description: "This cluster of papers focuses on the spectral theory and properties\
  "keywords": [
      \ of differential operators, particularly Schr\xF6dinger operators, on various\
     "Spectral Theory",
      \ structures such as quantum graphs and thin manifolds. It explores topics such\
    "Differential Operators",
      \ as localization, inverse spectral problems, Anderson localization, scattering\
    "Quantum Graphs",
      \ theory, and Weyl\u2013Titchmarsh theory. The papers also delve into eigenvalue\
    "Localization",
      \ estimates and applications to quantum chaos and universal spectral statistics."
    "Schr\u00f6dinger Operators",
     display_name: Spectral Theory of Differential Operators
    "Inverse Spectral Problems",
     domain:
    "Anderson Localization",
      display_name: Physical Sciences
    "Scattering Theory",
      id: https://openalex.org/domains/3
    "Weyl\u2013Titchmarsh Theory",
     field:
     "Eigenvalue Estimates"
      display_name: Mathematics
  ],
      id: https://openalex.org/fields/26
  "ids": {
     id: https://openalex.org/T11022
    "openalex": "https://openalex.org/T11022",
     ids:
     "wikipedia": "https://en.wikipedia.org/wiki/Spectral_theory_of_differential_operators"
      openalex: https://openalex.org/T11022
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      wikipedia: https://en.wikipedia.org/wiki/Spectral_theory_of_differential_operators
  "subfield": {
     keywords:
     "id": "https://openalex.org/subfields/2610",
    - Spectral Theory
     "display_name": "Mathematical Physics"
    - Differential Operators
  },
    - Quantum Graphs
  "field": {
    - Localization
    "id": "https://openalex.org/fields/26",
    - "Schr\xF6dinger Operators"
    "display_name": "Mathematics"
     - Inverse Spectral Problems
  },
    - Anderson Localization
  "domain": {
    - Scattering Theory
    "id": "https://openalex.org/domains/3",
    - "Weyl\u2013Titchmarsh Theory"
     "display_name": "Physical Sciences"
    - Eigenvalue Estimates
  },
    siblings:
  "siblings": [
    - display_name: Advancements in Mathematics and Mathematical Physics
     {
       id: https://openalex.org/T14500
      "id": "https://openalex.org/T14500",
    - display_name: Applications of Generalized Functions in Mathematics and Physics
      "display_name": "Advancements in Mathematics and Mathematical Physics"
       id: https://openalex.org/T13400
    },
    - display_name: Classification and Properties of C*-Algebras
    {
       id: https://openalex.org/T10899
       "id": "https://openalex.org/T13400",
    - display_name: Deformation Quantization of Poisson Manifolds
      "display_name": "Applications of Generalized Functions in Mathematics and Physics"
       id: https://openalex.org/T10896
    },
    - display_name: Dynamical Systems and Chaos Theory
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       id: https://openalex.org/T10588
       "id": "https://openalex.org/T10899",
    - display_name: Global Well-Posedness of Nonlinear Wave Equations
      "display_name": "Classification and Properties of C*-Algebras"
       id: https://openalex.org/T11654
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    - display_name: Inverse Problems in Mathematical Physics and Imaging
    {
       id: https://openalex.org/T11205
       "id": "https://openalex.org/T10896",
    - display_name: p-adic Models in Mathematical Physics
      "display_name": "Deformation Quantization of Poisson Manifolds"
       id: https://openalex.org/T13234
    },
    - display_name: Proofs of Langlands Conjectures for GL(n)
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       "id": "https://openalex.org/T10588",
    - display_name: Scaling Limits of Interacting Particle Systems
      "display_name": "Dynamical Systems and Chaos Theory"
       id: https://openalex.org/T11152
    },
    - display_name: Theory of Banach Spaces and Operators
    {
      id: https://openalex.org/T11545
       "id": "https://openalex.org/T11654",
    subfield:
      "display_name": "Global Well-Posedness of Nonlinear Wave Equations"
      display_name: Mathematical Physics
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    {
    updated_date: '2024-05-20T05:16:13.789517'
       "id": "https://openalex.org/T11205",
    works_count: 48265
      "display_name": "Inverse Problems in Mathematical Physics and Imaging"
    },
    {
       "id": "https://openalex.org/T13234",
      "display_name": "p-adic Models in Mathematical Physics"
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    {
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      "display_name": "Proofs of Langlands Conjectures for GL(n)"
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    {
       "id": "https://openalex.org/T11152",
      "display_name": "Scaling Limits of Interacting Particle Systems"
    },
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       "id": "https://openalex.org/T11545",
      "display_name": "Theory of Banach Spaces and Operators"
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  "cited_by_count": 506344,
  "updated_date": "2024-08-26T05:20:34.751009",
  "created_date": "2024-01-23"
}

Revision as of 14:44, 30 August 2024

{

 "id": "https://openalex.org/T11022",
 "display_name": "Spectral Theory of Differential Operators",
 "description": "This cluster of papers focuses on the spectral theory and properties of differential operators, particularly Schr\u00f6dinger operators, on various structures such as quantum graphs and thin manifolds. It explores topics such as localization, inverse spectral problems, Anderson localization, scattering theory, and Weyl\u2013Titchmarsh theory. The papers also delve into eigenvalue estimates and applications to quantum chaos and universal spectral statistics.",
 "keywords": [
   "Spectral Theory",
   "Differential Operators",
   "Quantum Graphs",
   "Localization",
   "Schr\u00f6dinger Operators",
   "Inverse Spectral Problems",
   "Anderson Localization",
   "Scattering Theory",
   "Weyl\u2013Titchmarsh Theory",
   "Eigenvalue Estimates"
 ],
 "ids": {
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   "wikipedia": "https://en.wikipedia.org/wiki/Spectral_theory_of_differential_operators"
 },
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   "display_name": "Mathematical Physics"
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   "display_name": "Mathematics"
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   "display_name": "Physical Sciences"
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     "display_name": "Advancements in Mathematics and Mathematical Physics"
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     "id": "https://openalex.org/T13400",
     "display_name": "Applications of Generalized Functions in Mathematics and Physics"
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   {
     "id": "https://openalex.org/T10899",
     "display_name": "Classification and Properties of C*-Algebras"
   },
   {
     "id": "https://openalex.org/T10896",
     "display_name": "Deformation Quantization of Poisson Manifolds"
   },
   {
     "id": "https://openalex.org/T10588",
     "display_name": "Dynamical Systems and Chaos Theory"
   },
   {
     "id": "https://openalex.org/T11654",
     "display_name": "Global Well-Posedness of Nonlinear Wave Equations"
   },
   {
     "id": "https://openalex.org/T11205",
     "display_name": "Inverse Problems in Mathematical Physics and Imaging"
   },
   {
     "id": "https://openalex.org/T13234",
     "display_name": "p-adic Models in Mathematical Physics"
   },
   {
     "id": "https://openalex.org/T11680",
     "display_name": "Proofs of Langlands Conjectures for GL(n)"
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   {
     "id": "https://openalex.org/T11152",
     "display_name": "Scaling Limits of Interacting Particle Systems"
   },
   {
     "id": "https://openalex.org/T11545",
     "display_name": "Theory of Banach Spaces and Operators"
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 ],
 "works_count": 48714,
 "cited_by_count": 506344,
 "updated_date": "2024-08-26T05:20:34.751009",
 "created_date": "2024-01-23"

}