Gian Carlo Rota is always a pleasure to quote, despite he knowing it. One from his reminiscence about Jack Schwartz, in his "Indiscrete Thoughts" Book (TL;DR: Markov Chains seen as random maps):
The first lecture by Jack I listened to was given in the spring of 1954 in a seminar in functional analysis. A brilliant array of lecturers had been expounding throughout the spring term on their pet topics. Jack's lecture dealt with stochastic processes. Probability was still a mysterious subject cultivated by a few scattered mathematicians, and the expression "Markov chain" conveyed more than a hint of mystery. Jack started his lecture with the words, "A Markov chain is a generalization of a function." His perfect motivation of the Markov property put the audience at ease. Graduate students and instructors relaxed and followed his every word to the end.
Comments
Gian Carlo Rota is always a pleasure to quote, despite he knowing it. One from his reminiscence about Jack Schwartz, in his "Indiscrete Thoughts" Book (TL;DR: Markov Chains seen as random maps):
The first lecture by Jack I listened to was given in the spring of 1954 in a seminar in functional analysis. A brilliant array of lecturers had been expounding throughout the spring term on their pet topics. Jack's lecture dealt with stochastic processes. Probability was still a mysterious subject cultivated by a few scattered mathematicians, and the expression "Markov chain" conveyed more than a hint of mystery. Jack started his lecture with the words, "A Markov chain is a generalization of a function." His perfect motivation of the Markov property put the audience at ease. Graduate students and instructors relaxed and followed his every word to the end.
Beuatiful visualizations.