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The handle http://hdl.handle.net/1887/42823 holds various files of this Leiden University dissertation.

Author: Zuijlen, W. B. van

Title: Gibbs-non-Gibbs transitions and vector-valued integration Issue Date: 2016-09-07

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Acknowledgements

Acknowledgements

This thesis is the product of four years of PhD studies. It portrays the research on which I worked during these years, and represents only a small fraction of the process that took me from a Master of Science to a Doctor of Philosophy, a PhD. Many people contributed to this thesis, and this whole process.

I am grateful to the members of the reading committee for their time spent in studying the manuscript in order to come to their judgement.

I thank my supervisor Frank den Hollander, who met with me on a regular basis to discuss the progress of my research. He guided me by asking the right questions and gave shape to the different projects I worked on. It is always a pleasure to discuss work with Frank, as he gives stimulating feedback and shows appreciation of my own input and ideas. I admire the way he organises his research and all the activities he is involved in.

I also thank my supervisor Frank Redig. With him I had less frequent but longer discussions, during which we could explore the details and the difficulties of proofs, where his enthusiasm and bursts of ideas were very helpful and encouraging. Frank always had alternative approaches and attempts at hand, also when I had no clear idea of how to make progress on a problem. His easy and open way of supervision, accompanied by the occasional Belgian humour, is very pleasant.

The different approaches and guidances of the two Franks formed a good combin- ation of styles in supervision for the project that has led to Part I.

The supervisor of my Master’s thesis, Arnoud van Rooij, became my collaborator on the project that has led to Part II. By means of telephone conversations and visits to Nijmegen and Leiden, we extended the ideas from my Master’s thesis to a general approach. Besides this project, we share many interests in mathematics. Arnoud was always open to talk about other matters and give feedback, which I enjoyed a lot.

His way of approaching mathematics -with much patience- is something I consider exemplary.

Special thanks to the secretaries of Nijmegen for facilitating the mathematical communication between Arnoud and me.

Aside from my direct supervisors and collaborator, I also benefited greatly from all the mathematicians I met and talked with during my PhD.

I am grateful for having been able to travel to many places, to attend conferences and summer schools, and to visit people for a week.

I especially enjoyed the environment in Leiden I entered four years ago, with people of many distinct nationalities and different cultures. I benefited from the open atmosphere, where I could walk into offices unannounced to find people who were willing to listen to me and to help me find answers to questions. This includes the offices of the support staff as well.

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Acknowledgements

Besides doing math, I needed to have some distraction. I thank all those who contributed to that: those with whom I did sports, danced, had dinner, had some drinks, played games, laughed; simply those with whom I spent time in any nice way.

In particular, I thank my close friends, whose doors are always open and who are always supportive.

Last but not least, I thank my family, who always provide a warm home for me, all the support and love one could wish for.

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Curriculum Vitae

Curriculum Vitae

Willem Bernard van Zuijlen was born in Zeeland in 1989. After graduating in 2007 from Udens College in Uden, he studied mathematics at the Radboud University in Nijmegen. There he obtained a Bachelor of Science in Mathematics in 2010 (cum laude) and a Master of Science in Mathematics in 2012 (summa cum laude). He wrote his Master’s thesis, entitled Integration of functions with values in a Riesz space, under the supervision of Prof. dr. A.C.M. van Rooij. In 2012 he moved to the University of Leiden and started his PhD research under the supervision of Prof. dr.

Frank den Hollander and Prof. dr. Frank Redig, funded by the ERC Advanced Grant of Prof. dr. Frank den Hollander. He accepts a postdoc position at the Humboldt University of Berlin, starting from October 2016.

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