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http://hdl.handle.net/123456789/1162| Title: | Potential Theory of Some Subordinate Brownian Motions |
| Authors: | Verma, Harsh |
| Keywords: | L ́evy density Brownian motion Geometric Stable Processes Green function |
| Issue Date: | 21-Nov-2019 |
| Publisher: | IISERM |
| Abstract: | The aim of the thesis is to study the potential theory of some subordinate Brownian motions. More precisely, we establish the asymptotic behaviour of the Green function and the L ́evy density of some subordinate Brownian motions. We study the tools and techniques used in a research paper known as Potential Theory of Geometric Stable Processes and use similar methods to prove the asymptotic behaviour of the Green function and the L ́evy density of two new subordinated Brownian motions. We also try to compute the asymptotic behaviour using an alternative approach. |
| URI: | http://hdl.handle.net/123456789/1162 |
| Appears in Collections: | MS-14 |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| MS14061.pdf | 37.58 kB | Adobe PDF | View/Open |
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