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Structural properties of Quantizer problem solutions

Lovrić, Jakov (2022) Structural properties of Quantizer problem solutions. Doctoral thesis, Friedrich-Alexander-Universität Erlangen-Nürnberg.

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For a set of objects distributed in the space of a given volume, the Quantizer problem is finding a minimum of the sum of the squared distances between arbitrary spatial positions and the given set. Such optimal configuration tessellates the space in a way that the generating set is placed in the geometric centroids of the Voronoi cells. Obviously, the Quantizer problem has trivial solutions where the generating objects are equidistant. Finding non-trivial, disordered solutions, however, has been a difficult task. The work presented in this thesis addresses precisely this challenge.

Item Type: Thesis (Doctoral thesis)
Uncontrolled Keywords: Hyperuniformity; Quantizer problem
Subjects: TECHNICAL SCIENCES > Computing
Divisions: Center of Excellence for Advanced Materials and Sensing Devices
Depositing User: Lovorka Čaja
Date Deposited: 08 Sep 2022 08:38

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