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The Schr鰀er-Bernstein property for a-saturated models
Schr鰀er-Bernstein property a-saturated models
2015/9/25
A first-order theory T has the Schr╫der-Bernstein (SB) property
if any pair of elementarily bi-embeddable models are isomorphic. We prove
that T has an expansion by constants with the SB property if...
The Schr鰀er-Bernstein property for weakly minimal theories
The Schr鰀er-Bernstein property weakly minimal theories
2015/9/25
For a countable, weakly minimal theory T, we show that the SchröderBernstein
property (any two elementarily bi-embeddable models are isomorphic)
is equivalent to each of the following:
1. For ...
By a classifiable theory we shall mean a theory which is superstable, without
the dimensional order property, which has prime models over pairs. In order
to define what we mean by unique decompositi...
令Tn是顶点个数为n的树的集合.已有学者针对Tn中树依能量从小到大的排序提出了两个猜想,其中一个猜想是Tn中两个图能量的比较，另一个是Tn中当n≥7 117 599时的第10小至第12小能量树.该文证明这两个猜想成立；确定Tn中当n≥7 117 599时前12个具有较小能量的树.
Fusion in Fractional Level sl^(2)-Theories with k=-1/2
Fusion Fractional Level sl^(2)-Theories
2011/3/2
The fusion rules of conformal field theories admitting an bsl (2)-symmetry at level k = −1
2 are studied.
It is shown that the fusion closes on the set of irreducible highest weight modules an...
General dynamic properties like controllability and simulability of spin systems, fermionic and bosonic systems are investigated in terms of symmetry.Symmetries may be due to the interaction topology ...
A Kronecker-Weyl theorem for subsets of abelian groups
uniform distribution Weyl criterion Zariski closure Zariski topology
2011/2/22
Let N be the set of non-negative integer numbers, T the circle group and c the cardinality
of the continuum. Given an abelian group G of size at most 2c and a countable family E of
infinite subsets ...
Pointwise characteristic factors for the multidimensional return times theorem
Pointwise characteristic factors multidimensional return times theorem
2011/1/21
This paper is an update and extension of a result the authors first proved in 2003. The goal of this paper is to study factors which are known to be L2-characteristic for certain nonconventional avera...
Cyclicity of singular inner functions from the corona theorem
Weighted Bergman space cyclic function singular inner function
2011/2/28
Carleson’s corona theorem is used to obtain two results on cyclicity of singular inner functions in weighted Bergman-type spaces on the unit disk. Our method proof requires no regularity conditions on...
Instantons, Quivers and Noncommutative Donaldson-Thomas Theory
Instantons Quivers Noncommutative Donaldson-Thomas Theory
2011/3/2
We construct noncommutative Donaldson{Thomas invariants associated with abelian orbifold
singularities by analysing the instanton contributions to a six-dimensional topological gauge
theory.
Every submartingale S of class D has a unique Doob-Meyer decomposition S = M + A, where M is a martingale and A is a predictable increasing process starting at 0.
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...
We study the half advanced and half retarded Wheeler Green function and its relation to Feynman propagators. First for massless equation.
Various aspects of Morita theory of deformed algebras and in particular of star product algebras on general Poisson manifolds are discussed. We relate the three flavours ring-heoretic Morita equivalen...
On the quasi-regularity of non-sectorial Dirichlet forms by processes having the same polar sets
Dirichlet form generalized Dirichlet form quasi-regularity standard process
2011/1/20
We obtain a criterion for the quasi-regularity of generalized (non-sectorial) Dirich-let forms, which extends the result of P.J. Fitzsimmons on the quasi-regularity of (sectorial)
semi-Dirichlet form...