Jezik: | Slovenski jezik |
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Leto izida: | 2022 |
Tipologija: | 2.11 - Diplomsko delo |
Organizacija: | UL FMF - Fakulteta za matematiko in fiziko |
Založnik: | [M. Miščič] |
UDK: | 512 |
COBISS: | 120837379 |
Št. ogledov: | 593 |
Št. prenosov: | 133 |
Ocena: | 0 (0 glasov) |
Metapodatki: |
Sekundarni jezik: | Angleški jezik |
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Sekundarni naslov: | Shuffling by random transpositions |
Sekundarni povzetek: | In this thesis we prove that in the case of random transposition shuffling cutoff occurs at time $\frac{1}{2}n\log{n}$. The upper bound is proved using noncommutative Fourier transform. To understand it representation theory of finite groups is presented with emphasis on symmetric groups. Specht modules are classified and it is shown that standard polytabloids form their bases. Lower bound is proved using methods from probability. We also discuss some further examples of cutoff for random walks on groups. |
Sekundarne ključne besede: | mathematics;group representations;symmetric groups;random walks;random transpositions; |
Vrsta dela (COBISS): | Delo diplomskega seminarja/zaključno seminarsko delo/naloga |
Študijski program: | 0 |
Komentar na gradivo: | Univ. v Ljubljani, Fak. za matematiko in fiziko, Oddelek za matematiko, Matematika - 1. stopnja |
Strani: | 37 str. |
ID: | 16400972 |