Bilinear Discretization of Integrable Quadratic Vector Fields: Algebraic Structure and Algebro-Geometric Solutions [Elektronische Ressource] / Andreas Pfadler. Betreuer: Yuri B. Suris

Bilinear Discretization of Integrable Quadratic Vector Fields:Algebraic Structure and Algebro-Geometric Solutionsvorgelegt von Diplom-MathematikerAndreas Pfadleraus Munc henVon der Fakult at II - Mathematik und Naturwissenschaftender Technischen Universit at Berlinzur Erlangung des akademischen GradesDoktor der NaturwissenschaftenDr. rer. nat.genehmigte DissertationPromotionsausschuss:Vorsitzender: Prof. Dr. John Sullivan (TU Berlin)Berichter/Gutachter: Prof. Dr. Yuri B. Suris (TU Berlin)Berichter/Gutachter: Prof. Dr. Pantelis A. Damianou (University of Cyprus)Tag der wissenschaftlichen Aussprache: 14.10.2011Berlin 2011D 832AcknowledgementFirst and foremost I would like to thank my family and especially my wife for alltheir love and support during my Ph.D. studies. Without them I could not have comethis far.Secondly I would like to thank my advisor Prof. Dr. Yuri B. Suris for his guidanceand support in the last two years. I am especially grateful for his introducing me tothe fascinating world of integrable systems. The many hours spent together in frontof computers and complicated formulas will not be forgotten.Also, I would like to thank Dr. Matteo Petrera for many interesting discussionsand all the help he was able to provide in mathematical as well non mathematicalmatters. Finally, I thank Prof. Damianou and Prof. Sullivan for agreeing to join theexamination commitee for this thesis.