Titlebook: Symplectic Invariants and Hamiltonian Dynamics; Helmut Hofer,Eduard Zehnder Textbook 1994 Springer Basel AG 1994 Floer homology.Hamiltonia

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Textbook 19941992. Since the lectures did not require any previous knowledge, only a few and rather elementary topics were selected and proved in detail. Moreover, our se­ lection has been prompted by a single principle: the action principle of mechanics. The action functional for loops in the phase space, given

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in major computer vision conference proceedings and journals every year. This chapter presents object tracking achievements over the past years as well as research trends. It attempts to give a structured overview of a broad spectrum of modern approaches focusing on embedded platforms, where the app

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Helmut Hofer,Eduard Zehnder an inspection system has to meet many demanding requirements as very high inspection resolution (better than 100 m) at high production speeds (up to 20 m/s). A total data rate of several Gigabytes per second has to be processed continuously. Under consideration of reasonable system costs, the term

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1019-6242 eld: symplectic topology. Surprising rigidity phenomena demonstrate that the nature of symplectic map­ pings is very different from that of volume preserving mappings which raised new questions, many of them still unanswered. On the other hand, due to the analysis of an old variational principle in

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,Geometry of compactly supported symplectic mappings in ℝ,aving compactly supported Hamiltonians. We shall construct, in particular, an astonishing bi-invariant metric . on ., following H. Hofer [116]. Defining the energy . of an element . ∈ . by means of the oscillations of generating Hamiltonians, the metric . will be defined by . = .). It is of .-nature

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The Arnold conjecture, Floer homology and symplectic homology,fixed points of symplectic mappings which originates in questions of celestial mechanics dating back to the turn of the century. Reformulated dynamically, this conjecture gives a lower bound for the number of global forced oscillations of a time-dependent Hamiltonian vector field on a compact symple