Maurice J. Frank, Ph.D.
Professor
Applied Mathematics
Office: Engineering 1, Room 111b
10 W. 32nd St.
Chicago, IL 60616
Office Hours:
Phone: 312.567.5341
Fax: 312.567.3135
Email:
frankm_AT_iit_DOT_edu
Web:
Expertise
- Functional equations, associativity and related equations, iterative equations and systems; probability distribution theory, probabilistic geometry; iteration, nonlinear dynamics.
Education
- Ph.D. - Illinois Insitute of Technology
Curriculum Vitae
Research & Major Accomplishments
Current Projects
Awards/Honors
Patents
Books
Selected Publications
- On the simultaneous associativity of F(x,y) and x+y-F(x,y), Aeqationes Math. (19) 1979, 194-226.
- Best-possible bounds for the distribution of a sum - a problem of Kolmogorov, with R.B. Nelsen and B. Schweizer, Probab. Theory Related Fields (74) 1987, 199-211.
- Convolutions for dependent random variables, in Advances in Probability Distributions with Given Marginals , Kluwer, 1991, 75-93.
- Generalization of independent response model for toxic mixtures, with C. Haas et.al., Chemosphere (34) 1997, 699-710.
- Associative Functions: Triangular Norms and Copulas, with C. Alsina and B. Schweizer, World Scientific, 2006.