The Parabolic Anderson Model Random Walk in Random Potential by Wolfgang KönigEnglish | PDF | 2016 | 199 Pages | ISBN : 3319335952 | 2.48 MB
This is a comprehensive survey on the research on the parabolic Anderson model – the heat equation with random potential or the random walk in random potential – of the years 1990 – 2015. The investigation of this model requires a combination of tools from probability (large deviations, extreme-value theory, e.g.) and analysis (spectral theory for the Laplace operator with potential, variational analysis, e.g.).