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Computing Global Characters     Global Characters       font style='font-size:12px;'> 2015/9/28
Let π be an irreducible representation of a real reductive group G. The global character θπ of π may be considered as a function on the regular semisimple elements of G. The global character determine...
In a previous paper [11] we presented algorithms for detecting Hopf bifurcations in two-parameter families of vector elds based on classical algebraic constructions. In addition to their utility as...
Simulation and Beyond: Computing in the 21st Century     Simulation and Beyond  Computing       font style='font-size:12px;'> 2015/8/25
Computers have a remarkable ability to simulate natural and arti cial phenomena. Industry, science, economic a airs and national security have come to rely upon simulation as an essential technology...
This paper examines algorithms for computing periodic orbits of dynamical systems. Our goal is to explore the limits of accuracy that are attainable for these calculations within the pragmatic conte...
Computing Periodic Orbits     Computing Periodic Orbits  freedom       font style='font-size:12px;'> 2015/8/25
The dynamics of uids are often studied through the reduction of partial di erential equations to systems with only a few degrees of freedom. Analysis of these low dimensional vector elds remains ...
Computing the threshold shift for general channels     Threshold  the probability curve  noise  the binary       font style='font-size:12px;'> 2015/8/21
The ‘threshold’ of a code ensemble can be defined as the noise level at which the block error probability curve crosses 1/2. For ensembles of low-density parity check codes used over the binary erasur...
Inspired by recent work of Byers we establish a simple connection between the singular values of a transfer matrix evaluated along the imaginary axis and the imaginary eigenvalues of a related Hamilto...
The ith singular value of a transfer matrix need not be a differentiable function of frequency where its multiplicity is greater than one. We show that near a local maximum, however, the largest singu...
For linear systems with unspecified parameters that lie between given upper and lower bounds, we present a branch and bound algorithm that computes the minimum stability degree.
We consider linear systems with unspecified parameters that lie between given upper and lower bounds. Except for a few special cases, the computation of many quantities of interest for such systems ca...
We describe an interior point algorithm for computing the upper bound for the structured singular value described in the paper by Fan, Tits and Doyle, IEEE Trans AC, Jan. 1991. We demonstrate the perf...
Based on the bounds in the paper by Boyd and Doyle (Comparison of peak and RMS gains for discrete-time systems, Systems and Control Letters, 9:1-6), we present simple upper and lower bounds for the el...
Uncertainty models are an essential ingredient in robust control design. In addition, because of the tradeoff between uncertainty and performance, the uncertainty model should be as ‘tight’ as possibl...
Experiences with three practical meteorological applications with different characteristics are used to highlight the core computer science aspects and applicability of distributed computing to meteor...
THREE EXAMPLES OF MONTE-CARLO MARKOV CHAINS:AT THE INTERFACE BETWEEN STATOSTICAL COMPUTING,COMPUTER SCIENCE,AND STATISTICAL MECHANICS。

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