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Universality of the lattice of transformation monoids
algebraic lattice embedding transformation monoid
2011/9/15
Abstract: The set of all transformation monoids on a fixed set of infinite cardinality lambda, equipped with the order of inclusion, forms an algebraic lattice Mon(lambda) with 2^lambda compact elemen...
Group theoretic structures in the estimation of an unknown unitary transformation
Group theoretic structures estimation unknown unitary transformation
2011/3/2
This paper presents a series of general results about the optimal estimation of physical transformations in a given symmetry group. In particular, it is shown how the different
symmetries of the prob...
Transformation & Uncertainty. Some Thoughts on Quantum Probability Theory, Quantum Statistics, and Natural Bundles
Quantum Probability Theory Quantum Statistics Natural Bundles
2010/11/19
This PHD thesis is concerned with uncertainty relations in quantum probability theory, state estimation in quantum stochastics, and natural bundles in differential geometry. After some comments on the...
Transformations of ordinary differential equations via Darboux transformation technique
ordinary differential equations Darboux transformation technique
2010/11/1
A new approach for obtaining the transformations of solutions of nonlinear ordinary differential equations representable as the compatibility condition of the overdetermined linear systems is propose...