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The Orbifold-String Theories of Permutation-Type: I. One Twisted BRST per Cycle per Sector
We resume our discussion of the new orbifold-string theories of
permutation-type, focusing in the present series on the algebraic formulation
of the general bosonic prototype and especially the target space-times of the
theories. In this first paper of the series, we construct one twisted BRST
system for each cycle in each twisted sector of the general case,
verifying in particular the previously-conjectured algebra
of the BRST charges. The BRST systems
then imply a set of extended physical-state conditions for the matter of each
cycle at cycle central charge where
is the length of cycle .Comment: 31 page
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Resource contrast in patterned peatlands increases along a climatic gradient
Copyright by the Ecological Society of America 2010, for personal or educational use only. Article is available at <http://dx.doi.org/10.1890/09-1313.1
A Note on the Importance of Weak Convergence Rates for SPDE Approximations in Multilevel Monte Carlo Schemes
It is a well-known rule of thumb that approximations of stochastic partial
differential equations have essentially twice the order of weak convergence
compared to the corresponding order of strong convergence. This is already
known for many approximations of stochastic (ordinary) differential equations
while it is recent research for stochastic partial differential equations. In
this note it is shown how the availability of weak convergence results
influences the number of samples in multilevel Monte Carlo schemes and
therefore reduces the computational complexity of these schemes for a given
accuracy of the approximations.Comment: 16 pages, 3 figures, updated to version published in the Proceedings
of MCQMC1
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