, ?(G) coincides with the horizontal foliation on C i and ?(F) admits compact leaves in C i, vol.2
, ?(G) are transverse to the vertical foliation on C i. Furthermore, every leaf of ?(F) (resp. of ?(G)) on C i is non-degenerate increasing (resp
, ?(G) are transverse to the vertical foliation on C i. Furthermore, every leaf of ?(F) (resp. of ?(G)) on C i is not increasing
, ?(G) are transverse to the vertical foliation on C i. Furthermore, every leaf of ?(F) (resp. of ?(G)) on C i is non-degenerate decreasing (resp
, Furthermore, every leaf of ?(F) (resp. of ?(G)) on C i is not decreasing (resp. non-degenerate decreasing). of F and G. Let k > 0, {t i } i?Z/kZ and ? be the integer, the elements of S 1 and the diffeomorphism given by, 6. the foliations ?(F) and ?(G) are transverse to the vertical foliation on C i
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, Jérôme and Sylvain offered me a chance to give a talk in their seminar, which is a good opportunity for me to let people know my work. Especially Sylvain, he is so kind, and every time I visited Université Paris-Sud 11, he always snatched up some time for me to ask questions. The comments made by Lorenzo on one of my papers helped me to strengthen my results. Also, it's a great honor for me that Sylvain and Lorenzo are the referees of this long thesis for Université de Bourgogne. When I wrote a paper, Rafael Potrie gave lots of useful comments and many suggestions on improving the presence of that paper, and I'm very appreciated for that. I would like to thank Adriana da Luz, Bruno Santiago, Sébastien Alvarez and Katsutoshi Shinohara, as I benefited a lot from the discussions with them. Especially Adriana, as my sister in math, she always encourages me when I encounter with critical difficulties in study. I also thank Ben-Michael Kohli and Martin Vogel for their, I also want to express my gratitude to Jérôme Buzzi, Sylvain Crovisier and Lorenzo Díaz for their help
,
,
Sixu Liu for their help and their accompany in our dynamical group. I have learnt a lot from them not only on math but also on life ,
, I want to express my gratitude to my Chinese friends in Dijon: Weiwei Pan
,
So many times we cooked, hiked, traveled even got drunk together; with their accompany, I did not have to suffer from being alone in the daily life. I also want to express my gratitude to my friends at Peking University: Zhenxiao Xie ,
,
Thanks to them, I experienced wonderful life at Peking University! At last, I want to thank China Scholarship Council for financial support during my stay in France ,
On the existence of non-hyperbolic ergodic measure as the limit of periodic measures, Transverse foliations on the torus T 2 and partially hyperbolic diffeomorphisms on 3-manifolds ,
Periodic measures and partially hyperbolic homoclinic classes ,
Ergodic measures with multi-zero Lyapunov exponents inside homoclinic classes ,
, Partially hyperbolic diffeomorphism with one dimensional neutral center on 3-manifolds