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http://hdl.handle.net/2445/184995
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DC Field | Value | Language |
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dc.contributor.advisor | Massaneda Clares, Francesc Xavier | - |
dc.contributor.author | de la Calle Vicente, Guillem | - |
dc.date.accessioned | 2022-04-19T09:34:22Z | - |
dc.date.available | 2022-04-19T09:34:22Z | - |
dc.date.issued | 2021-06-20 | - |
dc.identifier.uri | http://hdl.handle.net/2445/184995 | - |
dc.description | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2021, Director: Francesc Xavier Massaneda Clares | ca |
dc.description.abstract | [en] In this project we deal with random holomorphic polynomials $p_{N}$. Specifically, we study the relationship between zeros and critical points of $p_{N}$ considering two different probabilistic models. The first one is based on chosing independently and with uniform probability $N$ random points that will be the zeros of our polynomial $p_{N}$. The second model is that of the so-called parabolic Gaussian Analytic Function. In this second model, the distribution of points is more rigid, and the striking phenomenon continues to be observed: zeros and critical points appear, with high probability, in pairs. | ca |
dc.format.extent | 57 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | ca |
dc.rights | cc-by-nc-nd (c) Guillem de la Calle Vicente, 2021 | - |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
dc.source | Treballs Finals de Grau (TFG) - Matemàtiques | - |
dc.subject.classification | Funcions de variables complexes | ca |
dc.subject.classification | Treballs de fi de grau | - |
dc.subject.classification | Teoria geomètrica de funcions | ca |
dc.subject.classification | Processos estocàstics | ca |
dc.subject.classification | Polinomis | ca |
dc.subject.other | Functions of complex variables | en |
dc.subject.other | Bachelor's theses | - |
dc.subject.other | Geometric function theory | en |
dc.subject.other | Stochastic processes | en |
dc.subject.other | Polynomials | en |
dc.title | Pairing of zeros and critical points for random polynomials | ca |
dc.type | info:eu-repo/semantics/bachelorThesis | ca |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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tfg_guillem_de_la_calle.pdf | Memòria | 1.61 MB | Adobe PDF | View/Open |
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