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Mathematical research has a long and distinguished history at Bell Labs.
There was a "math research department" at the inception of Bell Labs in
1925. Since then, the organization has contributed many important innovations,
including:
- Sidney Darlington’s work in electrical- network synthesis and invention of
the chirp radar
- Hendrik Bode’s origination of filter theory
- Claude Shannon’s creation of information theory and key contributions to
cryptography and artificial intelligence
- Richard Hamming and David Slepian’s initiation of the development of
error-correcting codes
- Walter Shewhart’s invention of statistical control charts and pioneering of
industrial quality control methods
- John Tukey’s co-invention of the fast Fourier transform and initiation of
many branches of statistics
The center comprises multiple disciplines, including mathematics,
statistics, electrical engineering, operations research and computer
science.
Bell Labs researchers in the Mathematics and Algorithmic Sciences research
center are engaged in fundamental research, as well as support for
Alcatel-Lucent's business units, with particular focus on mathematical
analysis, combinatorics and optimization, statistics, Stochastic processes and
applied probability, information and communication theory, and mathematics of
networking and operations research.
Sample areas of focus for this research center include:
- A key thrust of research in the mathematics of networks and systems is on
fundamental research in distributed global optimization, stochastic and
asymptotic analysis, stability and control of complex systems. Current
applications include optical networks, wireless systems and data networks.
- Another thrust is in scientific computing on analytical and numerical
solutions of nonlinear PDEs arising in modeling and control of optical systems,
and modeling and simulation of nano materials.
- Other projects include statistics research, which as a tradition of
fundamental research driven by real-world applications has roots as far back as
Walter Shewhart and John Tukey. Today, by continuing to focus on data from a
host of challenging applications, the center is continually working on new ways
to think about, look at, and compute with data.
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