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Stochastic Models of Molecular Evolution

Ludwig-Maximilians-Universität München
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  • Fakultät Für Mathematik
  • Informatik Und Statistik
  • Mathematics


Stochastic Models of Molecular Evolution Stochastic Models of Molecular Evolution: An Algebraical and Statistical Analysis DISSERTATION zur Erlangung des akademischen Grades eines Doktors der Naturwissenschaften des Fachbereichs Mathematik der Ludwig-Maximilians-Universita¨t Mu¨nchen vorgelegt von Steffen Kla¨re 12. April 2005 1. Berichterstatter: Prof. Dr. Volkmar Liebscher 2. Berichterstatter: Prof. Dr. Arndt von Haeseler Tag der mu¨ndlichen Pru¨fung: 08.07.2005 To Zakiya and Zillah. May they live long and prosper. Preface First and foremost, I’d like to thank my supervisor Prof. Dr. Volkmar Liebscher. Volkmar has always been friendly and encouraging, maintaining the delicate bal- ance between support and challenge. He is an inspiring mathematician and most importantly, an nice guy too. This thesis was completed at the Institute of Biomathematics and Biometry of Prof. Dr. Rupert Lasser with the financial assistance of the GSF Research Center of Envi- ronment and Health in Neuherberg (January 2001-March 2004), a Marie Curie grant of the European Union (April 2003-July 2003), the Technical University Garching (April 2004-September 2004), the SFB 386 at the Ludwig-Maximilian-University Munich (October 2004-March 2005) and my parents. There are quite a lot of people who have my gratitude for their influence on my life during the four years in Munich: all colleagues at IBB, especially Marie, who had the doubtful pleasure of sharing an office with me for most of the time; Prof. Dr. Gerhard Winkler who always had an interesting story to tell, and who invited me to the best wheat beer in the world; my flatmate and brother Michael; all the people from the board game group; and especially my friends from TSV Haar. Special thanks to Maggie, whose help with the English language is invaluable to me, and whose hospitality during several occasions provided necessary time for relaxation and reflection. Finally I want to thank my parents for supporting me in any poss

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