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On the Relative Weak Asymptotic Homomorphism Property for Pairs of Groups von Neumann Algebras
the Relative Weak Asymptotic Homomorphism Property Pairs Groups von Neumann Algebras
2010/11/9
We provide a direct and elementary proof of the equivalence between the weak asymptotic homomorphism property for the pair of group von Neumann algebras $L(H)\subset L(G)$ and the embedding into $H$ ...
Quasi-selective ultrafilters and asymptotic numerosities
Quasi-selective ultrafilters asymptotic numerosities
2010/11/15
We isolate a new class of ultrafilters on N, called "quasi-selective" because they are intermediate between selective ultrafilters and P-points. (Under the Continuum Hypothesis these three classes are...
A hybrid asymptotic formula for the second moment of Rankin-Selberg L-functions
asymptotic formula the second moment of Rankin-Selberg L-functions
2010/11/15
We consider the Rankin-Selberg L-functions associated with a fixed modular form of full level and holomorphic cuspidal newforms of large even weight, fixed level and fixed primitive nebentypus. We com...
On the asymptotic stability of a rational multi-parameter first order difference equation
the asymptotic stability rational multi-parameter
2010/11/22
In this part we study the dynamics of the following rational multi-parameter first order difference equation x_{n+1} =(ax_{n}^3+ bx_{n}^2+cx_{n} + d)/x_{n}^3, x_{0}\in R^{+} where the parameters a, b...