numerical problem requiring solid analytical background
introductory paper and earlier research report available
aim: recognize "tiger in the jungle"
research component: "role of chatty neurons"
Pade Approximant Descriptions for Multi-Exponential Relaxation
analytical problem with light numerical component (linear
algebra)
introductory paper available
aim: clear exposition of (conceptionally demanding) method
research component: develop robust criteria for possible
order of approximation; application to correlation matrices
Kubo Line Shape Function
analytical problem with numerical component
introductory papers available
aim: clear exposition of method for MRI spectroscopy example
research component: not obvious
Optical Transitions in a Disordered Exciton System
analytical problem, possibly with linear algebra type
numerical component
introductory paper available
aim: provide analytical description of numerical result in
introductory paper
research component: solution unknown; many extensions possible
Discounting Irreversible Work in Fast Mechanical Micromanipulation
numerical problem (Monte Carlo) with strong conceptual component
introductory paper available; problem simply stated
aim: for particle moving under the influence of strong
friction in potential function U(x) determine strategy to determine
U(x) by means of fast manipulations through added forces and
observation of x(t)
research component: problem unsolved, but simulations
should provide guidance
Stochastic Motion at Arbitrary Friction
analytical and numerical (Monte Carlo simulations)
book and introductory paper available
aims: (1) clear exposition of the passage time through
conductor; (2) barrier crossing as a function of friction constant
(latter involves Monte Carlo simulation)
Stochastic Description of Financial Derivatives
analytical, possibly Monte Carlo simulation
introductory book available
aim: pick your own
research component: not obvious, but might be rewarding
otherwise
This document was last modified on 02/05/00
by Klaus Schulten