On generalized Gibbs ensembles with an infinite set of conserved charges
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/aa82c1
Abstract: We revisit the question of whether and how the steady states arising after non-equilibrium time evolution in integrable models (and in particular in the XXZ spin chain) can be described by the so-called Generalized Gibbs… read more here.
Keywords: ensembles infinite; generalized gibbs; infinite set; set conserved ... See more keywords
A Note on z-Ideals and z°-Ideals of the Formal Power Series Rings and Polynomial Rings in an Infinite Set of Indeterminates
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DOI: 10.1142/s1005386720000413
Abstract: Let A be a ring. In this paper we generalize some results introduced by Aliabad and Mohamadian. We give a relation between the z-ideals of A and those of the formal power series rings in… read more here.
Keywords: infinite set; formal power; set indeterminates; power series ... See more keywords
On extensions of countable filterbases to ultrafilters and ultrafilter compactness
Sign Up to like & getrecommendations! Published in 2017 at "Quaestiones Mathematicae"
DOI: 10.2989/16073606.2017.1376229
Abstract: Abstract We show in the Zermelo-Fraenkel set theory ZF without the axiom of choice: Given an infinite set X, the Stone space S(X) is ultrafilter compact. For every infinite set X, every countable filterbase of… read more here.
Keywords: every countable; filterbase extends; countably compact; infinite set ... See more keywords