Titlebook: Symplectic and Contact Geometry; A Concise Introducti Anahita Eslami Rad Textbook 2024 The Editor(s) (if applicable) and The Author(s), und

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Anahita Eslami Radwith the full attack scenario is not obvious. However this apparent complexity must not conceal the potential breach, which may significantly alter any application running on the system. Finally the goal of this work is to emphasize that the increasing products complexity may generate new security i

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ssembly generation. For this purpose, our first contribution is a simple reduction from security proofs obtained in a (usual but not always realistic) model where leakages depend on the intermediate variables manipulated by the target device, to security proofs in a (more realistic) model where the

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Symplectic Manifolds,ince symplectic geometry started from solving equations of motion in a classical mechanical system in cotangent bundle. We study reduction, a procedure to obtain a symplectic manifold. Then, as an example of reduction, we see how complex projective manifolds are equipped with symplectic structure.

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Symplectic Linear Algebra,nal property which we will see in the next chapter. Considering tangent spaces as vector spaces motivates us to study first about symplectic linear algebra. Hence, in this chapter we study symplectic forms over vector spaces, and we see properties, examples, and more definitions in the linear world.

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