Article history: Received 5 June 2009 Available online xxxx Submitted by Goong Chen

Article history: Received 28 January 2014 Accepted 6 June 2014 Available online 23 June 2014 Communicated by D.-Z. Du

We consider local minimizers of the Ginzburg-Landau energy functional

Dominoes is a popular and well-known game possibly dating back three millennia. Players are given a set of domino tiles, each with two labeled square faces, and take turns connecting them into a growing chain of dominoes by matching identical faces. We show that singleplayer dominoes is in P, while multiplayer dominoes is hard: when players cooperate, the game is NP-complete, and when players c...

The European Control Association was founded in 1990. Its first initiative was to establish a series of conferences. The European Control Conference (ECC) has been held bi-annually since 1991, the first one in Grenoble under the general chairmanship of Prof. Ioan Landau. He also served as the first Editor-in-Chief of the European Journal of Control (EJCON), which published its premiere issue in...

In this paper we formalize the concept of square tiles with colored corners, a new kind of tiles closely related to Wang tiles. We construct aperiodic sets of square tiles with colored corners and several new aperiodic sets of Wang tiles using isomorphisms between tilings. The smallest aperiodic set of square tiles with colored corners we have created consists of 44 tiles over 6 colors.

ACKNOWLEDGEMENTS First of all, I would like to express my special and sincere gratitude to my advisor Dr. George Vachtsevanos for his persistent guidance and trust throughout my research. His enthusiasm for the career affected me greatly. I would also like to thank my co-advisor Dr. Bonnie Heck-Ferri and Wayne Daley, my project supervisor, for their support and technical discussions. Secondly, ...

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