Polar Codes: Characterization of Exponent, Bounds, and Constructions
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In this thesis we describe a path integral formalism to evaluate approximations to the probability density function for the location and orientation of one end of a continuum polymer chain at thermodynamic equilibrium with a heat bath. We concentrate on th ...
The rigidity function of a matrix is defined as the minimum number of its entries that need to be changed in order to reduce the rank of the matrix to below a given parameter. Proving a strong enough lower bound on the rigidity of a matrix implies a nontri ...
Most eigenvalue problems arising in practice are known to be structured. Structure is often introduced by discretization and linearization techniques but may also be a consequence of properties induced by the original problem. Preserving this structure can ...
In this note the S‐matrix naturally associated with a singularly perturbed three‐dimensional system of linear differential equations without turning point on the real axis is considered. It is shown that for a fairly large class of examples, the Complex WK ...
Using methods originating in numerical analysis, we will develop a unified framework for derivation of efficient list decoding algorithms for algebraicgeometric codes. We will demonstrate our method by accelerating Sudan's list decoding algorithm for Reed- ...
D.J. Bernstein has proposed a circuit-based implementation of the matrix step of the number field sieve factorization algorithm (see "Circuits for integer factorization: a proposal", http://cr.yp.to/papers.html#nfscircuit, 2001). These circuits offer an as ...
We investigate the condition number for a complex eigenvalue of a real matrix under real perturbations. Based on an explicit formula, it is shown that this number is never smaller than 1/root2 times the corresponding condition number with respect to comple ...
We present a theoretical model of the time-resolved excitonic photoluminescence in quantum wires. We study the role of disorder on the temperature dependence of the photoluminescence lifetime. We find that at low temperature the exciton population is not t ...
V C H PUBLISHERS, SUITE 909, 220 E 23RD ST, NEW YORK, NY 10010 USA2004
We show that synthetic three-dimensional (3D) matrix metalloproteinase (MMP)-sensitive poly(ethylene glycol) (PEG)-based hydrogels can direct differentiation of pluripotent cardioprogenitors, using P19 embryonal carcinoma (EC) cells as a model, along a car ...
The sign of the theoretically predicted steric asymmetry S in rotational inelastic state resolved molecule–atom collisions is questioned. It is shown that the sign of the T-matrix obtained on a basis of non-oriented rotational states of the molecule depend ...
