New combinatorial proofs for enumeration problems and random anchored structures
Title Granting Institution
Technische Universität Hamburg
Place of Title Granting Institution
Technische Universität Hamburg (2021)
This thesis is divided into four parts. We present a combinatorial proof of Selberg's integral formula, which answers a question posed by Stanley. In the second part we enumerate S-omino towers bijectively. We also calculate the generating function of row-convex k-omino towers. In the third part we enumerate walks a rook can move along on a chess board. Finally, we study a new probabilistic version of a combinatorial problem posed by Freedman.
selbergs integral formula
anchored random structures