Claudio Baiocchi

Claudio Baiocchi (born 1940) is an Italian mathematician. He was a professor at the University of Pavia and since the 1990s he has been a professor of mathematical higher analysis at the Sapienza University.

He works on partial differential equations and the calculus of variations. In 1971 he applied his mathematical methods to a free boundary problem in the filtration of liquids through porous media with applications in civil engineering (by using the Baiocchi transform).[1][2][3]

His later research dealt with, among other topics, the Collatz problem,[4] cellular automata and Turing machines.[5]

In 1970 Baiocchi received the Caccioppoli Prize. In 1974 he was an invited speaker at the International Congress of Mathematicians in Vancouver. He was elected to the Accademia dei XL[6] and the Accademia dei Lincei.

Selected publications


  1. Baiocchi, C. (1971). "Sur un problème à frontière libre traduisant le filtrage de liquides à travers des milieux poreux". C.R. Acad. Sci. Paris. 273: 1215–1217.
  2. Baiocchi, C. (1972). "Sur un problema di frontiera libera connesso a questioni di idraulica". Ann. Mat. Pura Appl. 92 (4): 107–127.
  3. Baiocchi, C.; Comincioli, V.; Magenes, E.; Pozzi, G.A. (1973). "Free boundary problems in the theory of the fluid through porous media: existence and uniqueness theorems". Ann. Mat. Pura Appl. 96 (4): 1–82.
  4. Baiocchi, C.; Morgenstern, Maurice. Cellular automata about the 3x+1 problem. Proc. LCCS 2001. University of Paris.
  5. Three small universal Turing machines, in: Machines, computations and universality, LN computer science 2055, Springer 2011, 1–10
  6. Member list of the Accademia Nazionale della Scienze detta dei XL

External links

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