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A comprehensive numerical approach to coil placement in cerebral aneurysms: mathematical modeling and in silico occlusion classification. [PDF]
Holzberger F, Muhr M, Wohlmuth B.
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Partial differential equations in data science. [PDF]
Bertozzi AL+3 more
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Space Quasi-Periodic Steady Euler Flows Close to the Inviscid Couette Flow. [PDF]
Franzoi L, Masmoudi N, Montalto R.
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Complex and Symplectic Geometry
2017This book arises from the INdAM Meeting "Complex and Symplectic Geometry", which was held in Cortona in June 2016. Several leading specialists, including young researchers, in the field of complex and symplectic geometry, present the state of the art of their research on topics such as the cohomology of complex manifolds; analytic techniques in Kähler
ANGELLA, DANIELE+2 more
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WHAT IS SYMPLECTIC GEOMETRY? [PDF]
In this talk we explain the elements of symplectic geometry, and sketch the proof of one of its foundational results — Gromov's nonsqueezing theorem — using J-holomorphic curves. 1. First notions Symplectic geometry is an even dimensional geometry. It lives on even dimensional spaces, and measures the sizes of 2-dimensional objects rather than the 1 ...
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Application to Symplectic Geometry [PDF]
In this chapter we will describe how, starting from a manifold M with a symplectic form σ, which satisfies an integrality condition such that it is the Chern form of a connection of a suitable complex line bundle L over M, one can get all the structures needed for the definition of a spin-c Dirac operator D, acting on sections of E ⊗ L.
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Symplectic and Contact Geometry
1986Many questions in singularity theory (for instance, the classification of the singularities of caustics and wave fronts, and also the investigation of the various singularities in optimization and variational calculus problems) become understandable only within the framework of the geometry of symplectic and contact manifolds, which is refreshingly ...
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1994
The scope of this book is to address the fundamental problem of modeling transport processes within complex systems, i.e., systems with internal microstructure. The classical engineering approach involves the modeling of the systems as structured continua and the subsequent use of the models in order to derive (if possible) analytical results, exact or
Antony N. Beris, Brian J. Edwards
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The scope of this book is to address the fundamental problem of modeling transport processes within complex systems, i.e., systems with internal microstructure. The classical engineering approach involves the modeling of the systems as structured continua and the subsequent use of the models in order to derive (if possible) analytical results, exact or
Antony N. Beris, Brian J. Edwards
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Applications in Symplectic Geometry
2020In this chapter, we discuss various applications of Tamarkin categories in symplectic geometry. We start with a presentation of the Guillermou-Kashiwara-Schapira sheaf quantization, which associates to a homogeneous Hamiltonian diffeomorphism a complex of sheaves with a certain geometric constraint.
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Symplectic and Quasisymplectic Geometries
1997In 4.1.1 we have seen that the absolutes of the spaces S n , H n , S l n , and H l n are imaginary or real hyperquadrics, which, as we have seen in 2.8.3 are cosymmetry figures in the space P n . In 2.8.3 we have also seen that, besides hyperquadrics, in P 2n+1 there are cosymmetry figures of an other kind: linear complexes of lines.
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