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IBM Journal of Research and Development 
Volume 47, Number 1, 2003
Mathematical Sciences at 40
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The mathematics of halftoning - Author Bios

by R. L. Adler, B. P. Kitchens, M. Martens, C. P. Tresser, and C. W. Wu

Biographical sketches of authors

Roy L. Adler IBM Research Division, Thomas J. Watson Research Center, P.O. Box 218, Yorktown Heights, New York 10598. Dr. Adler received his Ph.D. degree in mathematics from Yale University in 1961. He had already joined IBM in 1960 as a Research Staff Member in the Research Division Mathematical Sciences Department. From 1982 to 1987 he was Manager of General Mathematical Studies, and from 1987 to 1994, Senior Manager of Computational Mathematics. He has held visiting positions at Stanford University, the University of Warwick, the Hebrew University of Jerusalem, Brown University, Battelle Institute, Columbia University, Yeshiva University, Pratt Institute, and the Mathematical Science Research Institute. Dr. Adler's main area of interest has been classification theorems of ergodic theory and dynamical systems. Theorems in these areas of pure mathematics led to an algorithm to design codes to meet constraints for data storage and transmission channels. One of these codes was used in the IBM 9332 hard disk file. Dr. Adler is the author of 59 research papers, ten patents, and ten patent publications which deal with coding, printing, spine modeling, X-ray data acquisition, and cryptography. He also devised the cryptography system for the IBM Controlled Access System. Dr. Adler was a member of the Editorial Board of the Journal of Ergodic Theory and Dynamical Systems. He served two terms as a Trustee of the Mathematical Sciences Research Institute and is currently serving a second term as an elected Trustee of the American Mathematical Society. He has been awarded an IBM Fourth Plateau Invention Achievement Award, two IBM Research Outstanding Innovation Awards, an IBM Outstanding Technical Achievement Award, and an IBM 2000 Research Patent Portfolio Award. An honorary conference was held at Yale University on the occasion of his 60th birthday. He is a Fellow of the New York Academy of Arts and Sciences and the American Academy of Arts and Sciences.

Bruce P. Kitchens IBM Research Division, Thomas J. Watson Research Center, P.O. Box 218, Yorktown Heights, New York 10598. Dr. Kitchens received his Ph.D. degree in mathematics from the University of North Carolina at Chapel Hill in 1981 and has been a Research Staff Member in the Mathematical Sciences Department at the IBM Thomas J. Watson Research Center since 1982. He has been a visitor at the Mathematical Sciences Research Institute, Warwick University, the Université de Paris VI, Northwestern University, the University of Washington, Wesleyan University, and the Institut de Mathematique de Luminy. His mathematical interests are ergodic theory and dynamical systems. In recent years he has been primarily interested in the dynamics of algebraic Zd actions on compact topological groups. Dr. Kitchens is the author of the book Symbolic Dynamics, One Sided, Two-Sided and Countable State Markov Shifts, which was published by Springer in 1998. His applied interests have been in modulation coding theory and algebraic coding theory, financial mathematics, and mathematics arising in printing.

Marco Martens IBM Research Division, Thomas J. Watson Research Center, P.O. Box 218, Yorktown Heights, New York 10598 (mmartens@us.ibm.com). Dr. Martens received his engineer Diploma in 1986 and his Ph.D. degree in 1990 in Delft, The Netherlands. He then spent two years at the Instituto Mathematica Pura e Aplicada (Rio de Janeiro) and six at the State University of New York at Stony Brook, where he proved several major results on rigidity and universality. He joined the Mathematical Sciences Department of the IBM Thomas J. Watson Research Center as Manager of Special Mathematical Studies in 1998. Dr. Martens held this position until early 2002, when he decided to return full time to basic and applied research. His research work covers both pure mathematics (in particular dynamics and the transition to chaos) and applications to various technologies, from digital printing (where he worked both on halftoning and image compression) to aspects of applied cryptography, and most recently on the foundations of autonomic computing.

Charles P. Tresser IBM Research Division, Thomas J. Watson Research Center, P.O. Box 218, Yorktown Heights, New York 10598 (tresser@us.ibm.com). Dr. Tresser received his Ph.D. degree in theoretical physics at the University of Nice in 1981. He joined the Mathematical Sciences Department of the IBM Thomas J. Watson Research Center in 1989, spending most of his time on basic and applied research and as Senior Manager in charge of the Applied Mathematics Department. His research ranged from pure mathematics to applications in various areas of IBM technology. The applications included digital printing, digital watermarks, telephony, medical visualization, broadband spectrum communication, electronic commerce, electronic counterfeiting and tampering protection, and electronic privacy. In 1999 Dr. Tresser left the Research Division to join the Financial Services Sector of the IBM Sales and Distribution Division. He became head of the IBM Financial Services Research Center in 2001, interfacing between Research, the Financial Services Sector, and customers worldwide. Dr. Tresser has been a coauthor of eighteen patents. Several of these inventions have already found their way into IBM technology, earning him an IBM Outstanding Technical Achievement Award. Prior to joining IBM in 1989, he was Directeur de Recherche in the French Centre National de la Recherche Scientifique (CNRS) Physical Sciences for Engineers Division and in the Theoretical Physics Division. Dr. Tresser has also held visiting positions at several institutions, including the Courant Institute of Mathematical Sciences (New York), IMA (Minneapolis), IHES (Bures-sur-Yvette), the Weizmann Institute (Rehovot), The Hebrew University (Jerusalem), the City University of New York Graduate Center, and Columbia University. While at the CNRS, he made key discoveries in chaos theory, a field in which he is a world-recognized leader. He is currently funded by the National Science Foundation for fundamental research in pure mathematics. Dr. Tresser has published more than 120 scientific papers. In addition, he has served as editor of the journals Nonlinearity and Journal of Complexity, and is currently serving as an editor of Chaos. Finally, he was awarded a Vinci of Excellence in the Science pour l'Art Prize by the luxury conglomerate LVMH (Louis Vuiton–Moet–Hennessy) and a Médaille d'Argent from the CNRS.

Chai Wah Wu IBM Research Division, Thomas J. Watson Research Center, P.O. Box 218, Yorktown Heights, New York 10598 (cwwu@us.ibm.com). Dr. Wu received his Ph.D. degree in electrical engineering from the University of California at Berkeley in 1995. He held an IBM postdoctoral fellowship in 1996–1997 and since that time has been a Research Staff Member in the Mathematical Sciences Department at the IBM Thomas J. Watson Research Center. He is currently the group leader of the Special Math Studies group at IBM. His research interests include synchronization and control of coupled chaotic systems, circuit theory, digital halftoning, and multimedia security. Dr. Wu has written more than 50 journal papers and is the author of the book Synchronization in Coupled Chaotic Circuits and Systems, published by World Scientific in 2002. He holds 19 U.S. patents and has been awarded an IBM Tenth Plateau Invention Achievement Award. He also received an IBM Outstanding Technical Achievement Award for his work on digital halftoning. Dr. Wu was elected a Fellow of the Institute of Electrical and Electronics Engineers (IEEE) in 2001; he served as an associate editor of the IEEE Transactions on Circuits and Systems, Part 1, during the periods 1997 to 1999 and 2002 to 2004.