Combinatorical and Algebraic Structures Seminar
Session details
| Date: | 3.5.2011 |
| Speaker: | Jean-Pierre Gazeau, APC, Université Paris VII |
| Title: | Finite tight frames and related quantization of finite sets |
| Abstract: | A finite-dimensional Hilbert space is usually described in terms of an orthonormal basis, but in certain approaches or applications a description in terms of a finite overcomplete system of vectors, called a finite tight frame, may offer some advantages. The use of a finite tight frame may lead to a simpler description of the symmetry transformations, to a simpler and more symmetric form of invariants or to the possibility to define new mathematical objects with physical meaning, particularly in regard with the notion of a quantization of a finite set. I will present in this talk the frame quantization of a finite set, its probabilistic aspects, and possible applications. |
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