Spectral dimension (original) (raw)
The spectral dimension is a real-valued quantity that characterizes a spacetime geometry and topology. It characterizes a spread into space over time, e.g. a ink drop diffusing in a water glass or the evolution of a pandemic in a population. Its definition is as follow: if a phenomenon spreads as , with the time, then the spectral dimension is . The spectral dimension depends on the topology of the space, e.g., the distribution of neighbors in a population, and the diffusion rate.
| Property | Value |
|---|---|
| dbo:abstract | The spectral dimension is a real-valued quantity that characterizes a spacetime geometry and topology. It characterizes a spread into space over time, e.g. a ink drop diffusing in a water glass or the evolution of a pandemic in a population. Its definition is as follow: if a phenomenon spreads as , with the time, then the spectral dimension is . The spectral dimension depends on the topology of the space, e.g., the distribution of neighbors in a population, and the diffusion rate. In physics, the concept of spectral dimension is used, among other things, in quantum gravity, percolation theory, superstring theory, or quantum field theory. (en) |
| dbo:wikiPageExternalLink | https://en.wikipedia.org/w/index.php%3Ftitle=Data_binning&oldid=1088054004 https://en.wikipedia.org/w/index.php%3Ftitle=Hyperspectral_imaging&oldid=1077101447 |
| dbo:wikiPageID | 70802355 (xsd:integer) |
| dbo:wikiPageLength | 4818 (xsd:nonNegativeInteger) |
| dbo:wikiPageRevisionID | 1122147190 (xsd:integer) |
| dbo:wikiPageWikiLink | dbr:Quantum_field_theory dbc:Quantum_gravity dbr:Frequency dbr:Geometry dbr:Physics dbc:Geometry dbr:Topology dbr:Hausdorff_dimension dbr:Fractal_dimension dbr:Pandemic dbc:Power_laws dbr:Quantum_gravity dbc:Diffusion dbr:Isotropic dbr:Dimension dbr:Spacetime dbr:Real_number dbr:Sierpiński_triangle dbr:Percolation_critical_exponents dbr:Superstring_theory dbr:Spectral_estimation dbr:Diffusing |
| dbp:wikiPageUsesTemplate | dbt:Reflist dbt:Short_description |
| dct:subject | dbc:Quantum_gravity dbc:Geometry dbc:Power_laws dbc:Diffusion |
| rdfs:comment | The spectral dimension is a real-valued quantity that characterizes a spacetime geometry and topology. It characterizes a spread into space over time, e.g. a ink drop diffusing in a water glass or the evolution of a pandemic in a population. Its definition is as follow: if a phenomenon spreads as , with the time, then the spectral dimension is . The spectral dimension depends on the topology of the space, e.g., the distribution of neighbors in a population, and the diffusion rate. (en) |
| rdfs:label | Spectral dimension (en) |
| owl:sameAs | wikidata:Spectral dimension https://global.dbpedia.org/id/GZ7km |
| prov:wasDerivedFrom | wikipedia-en:Spectral_dimension?oldid=1122147190&ns=0 |
| foaf:isPrimaryTopicOf | wikipedia-en:Spectral_dimension |
| is dbo:wikiPageWikiLink of | dbr:Deepak_Dhar dbr:Dynamical_dimensional_reduction dbr:Asymptotic_safety_in_quantum_gravity dbr:Percolation_critical_exponents |
| is foaf:primaryTopic of | wikipedia-en:Spectral_dimension |