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Recent years have witnessed important developments in those areas
of the mathematical sciences where the basic model under study is a
dynamical system such as a differential equation or control
process. Many of these recent advances were made possible by
parallel developments in nonlinear and nonsmooth analysis. The
latter subjects, in general terms, encompass differential analysis
and optimization theory in the absence of traditional linearity,
convexity or smoothness assumptions. In the last three decades it
has become increasingly recognized that nonlinear and nonsmooth
behavior is naturally present and prevalent in dynamical models,
and is therefore significant theoretically. This point of view has
guided us in the organizational aspects of this ASI. Our goals were
twofold: We intended to achieve "cross fertilization" between
mathematicians who were working in a diverse range of problem
areas, but who all shared an interest in nonlinear and nonsmooth
analysis. More importantly, it was our goal to expose a young
international audience (mainly graduate students and recent Ph. D.
's) to these important subjects. In that regard, there were heavy
pedagogical demands placed upon the twelve speakers of the ASI, in
meeting the needs of such a gathering. The talks, while exposing
current areas of research activity, were required to be as
introductory and comprehensive as possible. It is our belief that
these goals were achieved, and that these proceedings bear this
out. Each of the twelve speakers presented a mini-course of four or
five hours duration.
Recent years have witnessed important developments in those areas
of the mathematical sciences where the basic model under study is a
dynamical system such as a differential equation or control
process. Many of these recent advances were made possible by
parallel developments in nonlinear and nonsmooth analysis. The
latter subjects, in general terms, encompass differential analysis
and optimization theory in the absence of traditional linearity,
convexity or smoothness assumptions. In the last three decades it
has become increasingly recognized that nonlinear and nonsmooth
behavior is naturally present and prevalent in dynamical models,
and is therefore significant theoretically. This point of view has
guided us in the organizational aspects of this ASI. Our goals were
twofold: We intended to achieve "cross fertilization" between
mathematicians who were working in a diverse range of problem
areas, but who all shared an interest in nonlinear and nonsmooth
analysis. More importantly, it was our goal to expose a young
international audience (mainly graduate students and recent Ph. D.
's) to these important subjects. In that regard, there were heavy
pedagogical demands placed upon the twelve speakers of the ASI, in
meeting the needs of such a gathering. The talks, while exposing
current areas of research activity, were required to be as
introductory and comprehensive as possible. It is our belief that
these goals were achieved, and that these proceedings bear this
out. Each of the twelve speakers presented a mini-course of four or
five hours duration.
Features the proceedings of the 14th Gokova Geometry-Topology
Conference, held on the shores of Gokova Bay, Turkey, in May of
2007.
Features the proceedings of the 13th Gokova Geometry-Topology
Conference, held on the shores of Gokova Bay, Turkey, in May of
2006.
Dedicated to the memory of Raoul Bott, a great mathematician of the
20th Century, this volume contains articles from both eleventh and
twelfth Gokova Conferences, held in Gokova, Turkey.
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