Search for dissertations about: "the space of lattices"
Showing result 1 - 5 of 19 swedish dissertations containing the words the space of lattices.
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1. Sobolev-Type Spaces : Properties of Newtonian Functions Based on Quasi-Banach Function Lattices in Metric Spaces
Abstract : This thesis consists of four papers and focuses on function spaces related to first-order analysis in abstract metric measure spaces. The classical (i.e., Sobolev) theory in Euclidean spaces makes use of summability of distributional gradients, whose definition depends on the linear structure of Rn. READ MORE
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2. Distributional Limit Theorems on the Space of Lattices
Abstract : .... READ MORE
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3. A quantum for a quantum : Quantum simulators in exotic lattices
Abstract : This thesis centers on how to use exotic lattices in different ways to design potential quantum simulators. These exotic lattices are either real physical objects in the form of ultra cold atoms in bipartite optical lattice systems or lattice models revealed in state space. READ MORE
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4. Geometry of numbers, class group statistics and free path lengths
Abstract : This thesis contains four papers, where the first two are in the area of geometry of numbers, the third is about class group statistics and the fourth is about free path lengths. A general theme throughout the thesis is lattice points and convex bodies. READ MORE
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5. Newtonian Spaces Based on Quasi-Banach Function Lattices
Abstract : The traditional first-order analysis in Euclidean spaces relies on the Sobolev spaces W1,p(Ω), where Ω ⊂ Rn is open and p ∈ [1, ∞].The Sobolev norm is then defined as the sum of Lp norms of a function and its distributional gradient.We generalize the notion of Sobolev spaces in two different ways. READ MORE