Per Martin-Löf
Per Martin-Löf | |
|---|---|
Per Martin-Löf in 2004 | |
| Born | 8 May 1942 Stockholm, Sweden |
| Nationality | Swedish |
| Citizenship | Sweden |
| Alma mater | Stockholm University |
| Known for | Random sequences Exact tests Repetitive structure Sufficient statistics expectation–maximization (EM) method Martin-Löf type theory Martin-Löf randomness |
| Awards |
|
| Scientific career | |
| Fields | Computer Science Logic Mathematical statistics Philosophy |
| Institutions | Stockholm University University of Chicago Aarhus University |
| Doctoral advisor | Andrei N. Kolmogorov |
Per Erik Rutger Martin-Löf (/lɒf/; Swedish: [ˈmǎʈːɪn ˈløːv]; born 8 May 1942) is a Swedish logician, philosopher, and mathematical statistician. He is internationally renowned for his work on the foundations of probability, statistics, mathematical logic, and computer science. Since the late 1970s, Martin-Löf's publications have been mainly in logic. In philosophical logic, Martin-Löf has wrestled with the philosophy of logical consequence and judgment, partly inspired by the work of Brentano, Frege, and Husserl. In mathematical logic, Martin-Löf has been active in developing intuitionistic type theory as a constructive foundation of mathematics; Martin-Löf's work on type theory has influenced computer science.
Until his retirement in 2009, Per Martin-Löf held a joint chair for Mathematics and Philosophy at Stockholm University.
His brother Anders Martin-Löf is now emeritus professor of mathematical statistics at Stockholm University; the two brothers have collaborated in research in probability and statistics. The research of Anders and Per Martin-Löf has influenced statistical theory, especially concerning exponential families, the expectation–maximization method for missing data, and model selection.
Per Martin-Löf received his PhD in 1970 from Stockholm University, under Andrey Kolmogorov.
Martin-Löf is an enthusiastic bird-watcher; his first scientific publication was on the mortality rates of ringed birds.