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dc.date.accessioned2018-10-03T14:01:21Z
dc.date.available2018-10-03T14:01:21Z
dc.date.issued2018
dc.identifier.urihttp://hdl.handle.net/10852/65045
dc.description.abstractQuantum groups are a noncommutative extension of the notion of a group and first appeared in the context of quantum mechanics. Now the theory of quantum groups has further developed and has become interesting in its own right. In this work we study compact and discrete quantum groups, the latter in connection with random walks and probabilistic boundaries. Random walks on classical groups have been extensively studied and the associated probabilistic boundaries which encode information on their asymptotic behaviour, that is, what happens after an infinite number steps, have been obtained in a number of cases. In this work we concentrate on the quantum setting where the theory is still not so clear. We compute these boundaries for particular discrete quantum groups using both a functional analytic and categorical approach. It turns out in fact that the interconnection between the two offers a very powerful tool for gaining insights into this topic.en_US
dc.language.isoenen_US
dc.titlePoisson and Martin boundaries of discrete quantum groups: a noncommutative and categorical perspectiveen_US
dc.typeDoctoral thesisen_US
dc.creator.authorMalacarne, Sara
dc.identifier.urnURN:NBN:no-67578
dc.type.documentDoktoravhandlingen_US
dc.identifier.fulltextFulltext https://www.duo.uio.no/bitstream/handle/10852/65045/1/PhD-Malacarne-2018.pdf


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