Geometry, information, and complex bundles

Steven G. Krantz; Arni S.R. Srinivasa Rao

doi:10.1016/bs.host.2022.03.002

Geometry, information, and complex bundles

Steven G. Krantz, Arni S.R. Srinivasa Rao

Epidemiology

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this chapter, we will describe information geometric principles on complex planes. Using the geometric constructions, we prove two theorems on special types of constructions of Jordan curves around a ball within a complex bundle. Essentials on complex planes and bundles required for understanding the contour constructions done in the chapter are provided.

Original language	English (US)
Journal	Handbook of Statistics
DOIs	https://doi.org/10.1016/bs.host.2022.03.002
State	Accepted/In press - 2022

Keywords

Complex analysis
Complex bundles
Information geometry
Jordan curves

ASJC Scopus subject areas

Statistics and Probability
Modeling and Simulation
Applied Mathematics

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10.1016/bs.host.2022.03.002

Cite this

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title = "Geometry, information, and complex bundles",

abstract = "In this chapter, we will describe information geometric principles on complex planes. Using the geometric constructions, we prove two theorems on special types of constructions of Jordan curves around a ball within a complex bundle. Essentials on complex planes and bundles required for understanding the contour constructions done in the chapter are provided.",

keywords = "Complex analysis, Complex bundles, Information geometry, Jordan curves",

author = "Krantz, {Steven G.} and {Srinivasa Rao}, {Arni S.R.}",

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier B.V.",

year = "2022",

doi = "10.1016/bs.host.2022.03.002",

language = "English (US)",

journal = "Handbook of Statistics",

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T1 - Geometry, information, and complex bundles

AU - Krantz, Steven G.

AU - Srinivasa Rao, Arni S.R.

PY - 2022

Y1 - 2022

N2 - In this chapter, we will describe information geometric principles on complex planes. Using the geometric constructions, we prove two theorems on special types of constructions of Jordan curves around a ball within a complex bundle. Essentials on complex planes and bundles required for understanding the contour constructions done in the chapter are provided.

AB - In this chapter, we will describe information geometric principles on complex planes. Using the geometric constructions, we prove two theorems on special types of constructions of Jordan curves around a ball within a complex bundle. Essentials on complex planes and bundles required for understanding the contour constructions done in the chapter are provided.

KW - Complex analysis

KW - Complex bundles

KW - Information geometry

KW - Jordan curves

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M3 - Article

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SN - 0169-7161

JO - Handbook of Statistics

JF - Handbook of Statistics

ER -

Geometry, information, and complex bundles

Abstract

Keywords

ASJC Scopus subject areas

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