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https://en.wikipedia.org/wiki/Peter_A._Loeb
Peter A. Loeb

Peter Albert Loeb is a mathematician at the University of Illinois at Urbana–Champaign. He co-authored a basic reference text on nonstandard analysis (Hurd–Loeb 1985). Reviewer Perry Smith for MathSciNet wrote:

This book is a welcome addition to the literature on nonstandard analysis.[1]
The notion of Loeb measure named after him has become a standard tool in the field.[2]

In 2012 he became a fellow of the American Mathematical Society.[3]

See also
Influence of nonstandard analysis

https://en.wikipedia.org/wiki/Influence_of_nonstandard_analysis
Influence of nonstandard analysis
The influence of Abraham Robinson's theory of nonstandard analysis has been felt in a number of fields.

Contents
1 Probability theory
2 Economics
3 Education
4 Authors of books on hyperreals

Probability theory
"Radically elementary probability theory" of Edward Nelson combines the discrete and the continuous theory through the infinitesimal approach. The model-theoretical approach of nonstandard analysis together with Loeb measure theory allows one to define Brownian motion as a hyperfinite random walk, obviating the need for cumbersome measure-theoretic developments. Jerome Keisler used this classical approach of nonstandard analysis to characterize general stochastic processes as hyperfinite ones.