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- Analysis_on_fractals abstract "Analysis on fractals or calculus on fractals is a generalization of calculus on smooth manifolds to calculus on fractals.The theory describes dynamical phenomena which occur on objects modelled by fractals.It studies questions such as "how does heat diffuse in a fractal?" and "How does a fractal vibrate?"In the smooth case the operator that occurs most often in the equations modelling these questions is the Laplacian, so the starting point for the theory of analysis on fractals is to define a Laplacian on fractals. This turns out not to be a full differential operator in the usual sense but has many of the desired properties. There are a number of approaches to defining the Laplacian: probabilistic, analytical or measure theoretic.".
- Analysis_on_fractals wikiPageExternalLink 2003math.ph..10047P,.
- Analysis_on_fractals wikiPageExternalLink fea-strichartz.pdf.
- Analysis_on_fractals wikiPageExternalLink fractals.
- Analysis_on_fractals wikiPageID "18744973".
- Analysis_on_fractals wikiPageLength "2236".
- Analysis_on_fractals wikiPageOutDegree "12".
- Analysis_on_fractals wikiPageRevisionID "639338248".
- Analysis_on_fractals wikiPageWikiLink Abstract_differential_geometry.
- Analysis_on_fractals wikiPageWikiLink Calculus.
- Analysis_on_fractals wikiPageWikiLink Cantor_set.
- Analysis_on_fractals wikiPageWikiLink Category:Fractals.
- Analysis_on_fractals wikiPageWikiLink Differentiable_manifold.
- Analysis_on_fractals wikiPageWikiLink Differential_geometry.
- Analysis_on_fractals wikiPageWikiLink Differential_operator.
- Analysis_on_fractals wikiPageWikiLink Discrete_differential_geometry.
- Analysis_on_fractals wikiPageWikiLink Fractal.
- Analysis_on_fractals wikiPageWikiLink Fractals.
- Analysis_on_fractals wikiPageWikiLink Laplace_operator.
- Analysis_on_fractals wikiPageWikiLink Laplacian.
- Analysis_on_fractals wikiPageWikiLink Time-scale_calculus.
- Analysis_on_fractals wikiPageWikiLink Time_scale_calculus.
- Analysis_on_fractals wikiPageWikiLink Toshikazu_Sunada.
- Analysis_on_fractals wikiPageWikiLinkText "Analysis on fractals".
- Analysis_on_fractals wikiPageWikiLinkText "analysis on fractals".
- Analysis_on_fractals wikiPageWikiLinkText "fractals".
- Analysis_on_fractals hasPhotoCollection Analysis_on_fractals.
- Analysis_on_fractals wikiPageUsesTemplate Template:Cite_book.
- Analysis_on_fractals wikiPageUsesTemplate Template:Mathanalysis-stub.
- Analysis_on_fractals subject Category:Fractals.
- Analysis_on_fractals hypernym Generalization.
- Analysis_on_fractals type Function.
- Analysis_on_fractals comment "Analysis on fractals or calculus on fractals is a generalization of calculus on smooth manifolds to calculus on fractals.The theory describes dynamical phenomena which occur on objects modelled by fractals.It studies questions such as "how does heat diffuse in a fractal?" and "How does a fractal vibrate?"In the smooth case the operator that occurs most often in the equations modelling these questions is the Laplacian, so the starting point for the theory of analysis on fractals is to define a Laplacian on fractals. ".
- Analysis_on_fractals label "Analysis on fractals".
- Analysis_on_fractals sameAs m.04gp9ck.
- Analysis_on_fractals sameAs Fraktaller_üzerinde_analiz.
- Analysis_on_fractals sameAs Q4751108.
- Analysis_on_fractals sameAs Q4751108.
- Analysis_on_fractals wasDerivedFrom Analysis_on_fractals?oldid=639338248.
- Analysis_on_fractals isPrimaryTopicOf Analysis_on_fractals.