Displaying similar documents to “Rigidity of the stable norm on tori.”

A Note on the Uniqueness of Stable Marriage Matching

Ewa Drgas-Burchardt (2013)

Discussiones Mathematicae Graph Theory

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In this note we present some sufficient conditions for the uniqueness of a stable matching in the Gale-Shapley marriage classical model of even size. We also state the result on the existence of exactly two stable matchings in the marriage problem of odd size with the same conditions.

Manifolds admitting stable forms

Hông-Van Lê, Martin Panák, Jiří Vanžura (2008)

Commentationes Mathematicae Universitatis Carolinae

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In this note we give a direct method to classify all stable forms on ℝ n as well as to determine their automorphism groups. We show that in dimensions 6, 7, 8 stable forms coincide with non-degenerate forms. We present necessary conditions and sufficient conditions for a manifold to admit a stable form. We also discuss rich properties of the geometry of such manifolds.

Around stable forking

Byunghan Kim, A. Pillay (2001)

Fundamenta Mathematicae

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We discuss various conjectures and problems around the issue of when and whether stable formulas are responsible for forking in simple theories. We prove that if the simple theory T has strong stable forking then any complete type is a nonforking extension of a complete type which is axiomatized by instances of stable formulas. We also give another treatment of the first author's result which identifies canonical bases in supersimple theories.

PHH Harmonic Submersions are Stable

Monica Alice Aprodu (2007)

Bollettino dell'Unione Matematica Italiana

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We prove that PHH harmonic submersions are (weakly) stable.