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Maurice J. Frank

Maurice J. Frank, Ph.D.

Professor Emeritus of Applied Mathematics

Phone: 

312.567.5341

Fax: 

312.567.3135

Office: 

Engineering 1, Room 114 10 W. 32nd St. Chicago, IL 60616

Education 

Ph.D. - Illinois Insitute of Technology

Expertise 

Functional equations, associativity and related equations, iterative equations and systems; probability distribution theory, probabilistic geometry; iteration, nonlinear dynamics.

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.