PhD in Applied Mathematics - Probability and Stochastic Processes in Ithaca United States | Cornell University

Graduate study options cover all specialization areas represented by over one hundred faculty members across multiple disciplines. These professors come from fourteen departments spanning the College of Engineering, College of Arts and Sciences, College of Agriculture and Life Sciences, and the Samuel Curtis Johnson Graduate School of Management. Students can further broaden their academic focus through minor subject selections. The Applied Mathematics program admits graduate students with diverse but mathematically rigorous educational backgrounds, primarily considering applicants pursuing a Doctor of Philosophy degree. The program typically enrolls around forty students and takes four to five years to finish.

Probability examines random phenomena and unpredictability, while stochastic processes analyze evolving random systems - essentially studying interconnected uncertain events. This research domain establishes principles that govern chance, with well-known examples being the law of large numbers and central limit theorem. Some probability research is deeply theoretical, intersecting with mathematical fields like functional analysis, measure theory, and partial differential equations. Other investigations apply probability and stochastic processes to model real-world systems including service queues, financial markets, network structures, manufacturing processes, and various physical systems.