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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 wikiPageRevisionID "490881775".
- Analysis_on_fractals hasPhotoCollection Analysis_on_fractals.
- Analysis_on_fractals subject Category:Fractals.
- Analysis_on_fractals type Abstraction100002137.
- Analysis_on_fractals type Cognition100023271.
- Analysis_on_fractals type Form105930736.
- Analysis_on_fractals type Fractal105931152.
- Analysis_on_fractals type Fractals.
- Analysis_on_fractals type PsychologicalFeature100023100.
- Analysis_on_fractals type Structure105726345.
- 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".
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- Analysis_on_fractals sameAs Q4751108.
- Analysis_on_fractals sameAs Q4751108.
- Analysis_on_fractals sameAs Analysis_on_fractals.
- Analysis_on_fractals wasDerivedFrom Analysis_on_fractals?oldid=490881775.
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