Remarks on an asymptotic method in combinatorics
نویسندگان
چکیده
منابع مشابه
Some remarks on the combinatorics of ISn
We describe the asymptotic behavior of the cardinalities of the finite symmetric inverse semigroup ISn and its endomorphism semigroup. This is applied to show that |ISn|/|End(ISn)| is asymptotically 0, solving a problem of Schein and Teclezghi. We also apply our results to compute the distributions of elements from ISn with respect to certain combinatorial properties, and to compute the generat...
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The following combinatorial theorems, some of which were known for every finite n in all infinite structures, are proved in ZFC for every infinite cardinal ν in all sufficiently large structures. (a) A new extension of Miller’s theorem [18]. (b) An upper bound of ρ on the list-conflict-free number of ρ-uniform families of sets which satisfy C(ρ, ν) for cardinals ν and ρ ≥ iω(n). (c) An upper bo...
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This article is devoted to the study of the asymptotic behavior of a Caginalp phase-field system with Neumann boundary conditions and singular potentials. We first prove the existence and uniqueness of solutions, and then the existence of exponentials attractors (and thus of finite dimensional global attractors). We finally study the convergence of solutions to steady states as time goes to inf...
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چکیده ندارد.
15 صفحه اولSome Remarks About Asymptotic Couples
Asymptotic couples (of H-type) try to capture the structure induced by the derivation of a Hardy field K on the value group of the natural valuation on K. In this note we continue the study of algebraic and model-theoretic aspects of asymptotic couples undertaken in [1]. We give a short exposition of some basic facts about asymptotic couples, and address a few topics left out in that paper: the...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 1984
ISSN: 0097-3165
DOI: 10.1016/0097-3165(84)90055-4