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Continuum Limit of Nearest Neighbor and Random Long-Range Interactions

Patricia Zwick

Tuesday, 2023-12-12 14:15

The thesis deals with the limit behavior of discrete energies with different types of interactions between points. On the one hand, only nearest neighbor interactions are considered and on the other hand random long-range interactions. For the latter some assumptions on the conductance have to be made. In a last step, we will try to combine these two types of interactions and investigate whether some assumptions can be dropped in this case.