| _version_ | 1866901688581881856 |
|---|---|
| author | Atayev, Anvarbek Scardia, Lucia |
| author_facet | Atayev, Anvarbek Scardia, Lucia |
| contents | <p>This thesis investigates the equilibrium configurations of ensembles of particles interacting via logarithmic non-local and non-isotropic interaction potentials under the presence of a quadratic confinement. By application of Frostman-type methods, we derive the optimal solutions, in the sense of probability distributions, to the interaction problem and determine their properties with respect to the anisotropy and confinement.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19656270 |
| institution | Zenodo |
| language | eng |
| publishDate | 2018 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Equilibrium Measures for Nonlocal and Anisotropic Logarithmic Energies Atayev, Anvarbek Scardia, Lucia <p>This thesis investigates the equilibrium configurations of ensembles of particles interacting via logarithmic non-local and non-isotropic interaction potentials under the presence of a quadratic confinement. By application of Frostman-type methods, we derive the optimal solutions, in the sense of probability distributions, to the interaction problem and determine their properties with respect to the anisotropy and confinement.</p> |
| title | Equilibrium Measures for Nonlocal and Anisotropic Logarithmic Energies |
| url | https://doi.org/10.5281/zenodo.19656270 |