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The Resource Colored Discrete Spaces : Higher Dimensional Combinatorial Maps and Quantum Gravity, by Luca Lionni, (electronic resource)
Colored Discrete Spaces : Higher Dimensional Combinatorial Maps and Quantum Gravity, by Luca Lionni, (electronic resource)
Resource Information
The item Colored Discrete Spaces : Higher Dimensional Combinatorial Maps and Quantum Gravity, by Luca Lionni, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Colored Discrete Spaces : Higher Dimensional Combinatorial Maps and Quantum Gravity, by Luca Lionni, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 This book provides a number of combinatorial tools that allow a systematic study of very general discrete spaces involved in the context of discrete quantum gravity. In any dimension D, we can discretize Euclidean gravity in the absence of matter over random discrete spaces obtained by gluing families of polytopes together in all possible ways. These spaces are then classified according to their curvature. In D=2, it results in a theory of random discrete spheres, which converge in the continuum limit towards the Brownian sphere, a random fractal space interpreted as a quantum random spacetime. In this limit, the continuous Liouville theory of D=2 quantum gravity is recovered. Previous results in higher dimension regarded triangulations, converging towards a continuum random tree, or gluings of simple building blocks of small sizes, for which multitrace matrix model results are recovered in any even dimension. In this book, the author develops a bijection with stacked twodimensional discrete surfaces for the most general colored building blocks, and details how it can be used to classify colored discrete spaces according to their curvature. The way in which this combinatorial problem arrises in discrete quantum gravity and random tensor models is discussed in detail
 Language
 eng
 Extent
 XVIII, 218 p. 107 illus., 98 illus. in color.
 Contents

 Colored Simplices and EdgeColored Graphs
 Bijective Methods
 Properties of Stacked Maps
 Summary and Outlook
 Isbn
 9783319960234
 Label
 Colored Discrete Spaces : Higher Dimensional Combinatorial Maps and Quantum Gravity
 Title
 Colored Discrete Spaces
 Title remainder
 Higher Dimensional Combinatorial Maps and Quantum Gravity
 Statement of responsibility
 by Luca Lionni
 Language
 eng
 Summary
 This book provides a number of combinatorial tools that allow a systematic study of very general discrete spaces involved in the context of discrete quantum gravity. In any dimension D, we can discretize Euclidean gravity in the absence of matter over random discrete spaces obtained by gluing families of polytopes together in all possible ways. These spaces are then classified according to their curvature. In D=2, it results in a theory of random discrete spheres, which converge in the continuum limit towards the Brownian sphere, a random fractal space interpreted as a quantum random spacetime. In this limit, the continuous Liouville theory of D=2 quantum gravity is recovered. Previous results in higher dimension regarded triangulations, converging towards a continuum random tree, or gluings of simple building blocks of small sizes, for which multitrace matrix model results are recovered in any even dimension. In this book, the author develops a bijection with stacked twodimensional discrete surfaces for the most general colored building blocks, and details how it can be used to classify colored discrete spaces according to their curvature. The way in which this combinatorial problem arrises in discrete quantum gravity and random tensor models is discussed in detail
 http://library.link/vocab/creatorName
 Lionni, Luca
 Image bit depth
 0
 LC call number
 QC5.53
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink
 Series statement
 Springer Theses, Recognizing Outstanding Ph.D. Research,
 http://library.link/vocab/subjectName

 Physics
 Geometry
 Gravitation
 Physics
 Mathematical Methods in Physics
 Classical and Quantum Gravitation, Relativity Theory
 Geometry
 Label
 Colored Discrete Spaces : Higher Dimensional Combinatorial Maps and Quantum Gravity, by Luca Lionni, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Colored Simplices and EdgeColored Graphs  Bijective Methods  Properties of Stacked Maps  Summary and Outlook
 Dimensions
 unknown
 Extent
 XVIII, 218 p. 107 illus., 98 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319960234
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319960234
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319960234
 Label
 Colored Discrete Spaces : Higher Dimensional Combinatorial Maps and Quantum Gravity, by Luca Lionni, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Colored Simplices and EdgeColored Graphs  Bijective Methods  Properties of Stacked Maps  Summary and Outlook
 Dimensions
 unknown
 Extent
 XVIII, 218 p. 107 illus., 98 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319960234
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319960234
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319960234
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