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We study possible Lie and non-classical reductions of multidimensional wave equations and the special classes of possible reduced equations - their symmetries and equivalence classes. Such investigati...
We prove that if the two-body terms in the equation of motion for the one-body reduced density matrix are approximated at each instant of time from ground-state functionals, the eigenvalues of the on...
Reduced basis method for source mask optimization     Reduced basis method  source mask optimization       font style='font-size:12px;'> 2010/11/16
Image modeling and simulation are critical to extending the limits of leading edge lithography technologies used for IC making. Simultaneous source mask optimization (SMO) has become an important obj...
Reduced basis method for computational lithography     Reduced basis method  computational lithography       font style='font-size:12px;'> 2010/11/16
A bottleneck for computational lithography and optical metrology are long computational times for near field simulations. For design, optimization, and inverse scatterometry usually the same basic la...
Direct evidence for in situ particle acceleration mechanisms in the inter-galactic-medium (IGM) is provided by the di use Mpc{scale synchrotron emissions observed from galaxy clusters.
On the weighted forward reduced Entropy of Ricci flow     the weighted forward reduced Entropy  Ricci flow       font style='font-size:12px;'> 2010/11/9
In this paper, we first introduce the weighted forward reduced volume of Ricci flow. The weighted forward reduced volume, which related to expanders of Ricci flow, is well-defined on noncompact manif...
We construct infinite-dimensional symmetries of the two dimensional equation which results from the dimensional reduction of the self-duality condition in (2, 2) signature space-time. These are symme...
Let K be a field and let m0, ...,mn be an almost arithmetic sequence of positive integers. Let C be a toric variety in the affine (n + 1)-space,defined parametrically by x0 = tm0 , . . . , xn = tmn. I...
Whereas it is easy to reduce the translational symmetry of a molecular system by using, e.g., Jacobi coordinates the situation is much more involved for the rotational symmetry.
The momentum conservation law for general dissipationless reduced-fluid (e.g., gyrofluid) models is derived by Noether method from a variational principle. The reduced-fluid momentum density and the r...
Multiple beamforming is realized by singular value decomposition of the channel matrix which is assumed to be perfectly known to the transmitter as well as the receiver. Bit-Interleaved Coded Multiple...
Reduced, tame and exotic fusion systems      Classifying space  p-completion  finite groups  fusion       font style='font-size:12px;'> 2010/11/29
We define here two new classes of saturated fusion systems, reduced fusion systems and tame fusion systems. These are motivated by our attempts to better understand and search for exotic fusion system...
We give a positive answer to a conjecture of K. Astala, T. Iwaniec, and G.Martin [4] on reduced Beltrami equations. Moreover, we use it to study differential expressions related to two-dimensional lin...
Reduced decompositions and commutation classes      Reduced decompositions  commutation classes        font style='font-size:12px;'> 2010/11/30
We study three aspects of commutation classes of reduced decompo-sitions: the number of commutation classes, the structures of their corre-sponding graphs, and the enumeration of subnetworks, a concep...
Parametric two-electron reduced-density-matrix (p-2RDM) methods have enjoyed much success in recent years; the methods have been shown to exhibit accuracies greater than coupled cluster with single ...

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