Bridged-assisted electron transfer. Random matrix theory approach

Solvent Reorganization in Long-Range Electron Transfer: Density Matrix Approach

The dynamics of charge transfer from a photoexcited donor to an acceptor coupled through a bridge is investigated by using a correlation-function approach in Liouville space that takes into account solvent dynamics with an arbitrary distribution of time scales. The timeand frequency-resolved fluorescence spectrum from the acceptor is used to probe the scaling of the ET rate with bridge size. Th...

Random tilings with quasicrystal order: transfer-matrix approach

The random tiling of the plane by a set of objects (e.g., rhombi), related by rotational (e.g., tenfold) symmetries, is a paradigm for the formation of quasiperiodic order due to entropy. Such tilings are mapped to a higher-dimensional space where they form hypersurfaces analogous to the interfaces in a solid-on-solid model. I argue that the fluctuations of the hypersurface should be described ...

Random Matrix Theory

Random matrix theory is usually taught as a sequence of several graduate courses; we have 16 lectures, so we will give a very brief introduction. Some relevant books for the course: • G. Anderson, A. Guionnet, O. Zeitouni. An introduction to random matrices. [1] • A. Guionnet. Large random matrices: lectures on macroscopic asymptotics. • M. L. Mehta. Random matrices. The study of random matrice...

Random matrix theory

Random matrix theory is now a big subject with applications in many disciplines of science, engineering and finance. This article is a survey specifically oriented towards the needs and interests of a numerical analyst. This survey includes some original material not found anywhere else. We include the important mathematics which is a very modern development, as well as the computational softwa...

Random Matrix Theory