Abstract: This thesis explores the application of isoperimetric functions to gain weak functional inequalities involving Dirichlet forms. The connection between such weak functional inequalities and bounds on the convergence speed of the corresponding Markov semi-group is established. Three examples of discrete graphs and the corresponding Dirichlet forms are discussed.
| Identifer | oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:90295 |
| Date | 04 March 2024 |
| Creators | Popert, Aldo |
| Contributors | Schmidt, Marcel, Universität Leipzig |
| Source Sets | Hochschulschriftenserver (HSSS) der SLUB Dresden |
| Language | English |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, doc-type:masterThesis, info:eu-repo/semantics/masterThesis, doc-type:Text |
| Rights | info:eu-repo/semantics/openAccess |
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