On the Stanford University Department of Statistics website, find all 'Professor' faculty members whose research area is 'information theory'. For each identified professor, list their full name and all their stated research areas.
Navigate to the 'Faculty' page under the 'People' section. Locate and click the 'information theory' link (e.g., ID 520, which is a direct filter link) associated with any professor to apply the filter. After the page reloads with the filtered results, for each 'Professor' listed, extract their full name and all associated research areas.
Successfully navigate to the 'Faculty' page. Correctly apply the 'information theory' filter by clicking a direct research area link. List the full name of every 'Professor' whose research includes 'information theory' after filtering. For each identified professor, accurately list all their stated research areas. The listed professors and their research areas are: Emmanuel J. Candès (harmonic analysis, high-dimensional statistics, signal processing, information theory), Amir Dembo (probability theory, information theory, stochastic processes), and John Duchi (machine learning, optimization, statistics, information theory).