Results 1 to 10 of about 1,556,595 (219)
We study the orientifold of the ${\mathcal{N}} = 1$ superconformal field theories describing D3-branes probing the Suspended Pinch Point singularity, as well as the orientifolds of non-chiral theories obtained by a specific orbifold $\mathbb{Z}_n$ of SPP.
Andrea Antinucci +3 more
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Fixed points and homotopy fixed points
Let G be a finite group, EG be a free contractible G-space, and define \(X^{hG}=Map_ G(EG,X)\) (equivariant mapping space). The main theorem of this paper proves that the following two statements are equivalent (Theorem A): (1) G is a p-group. (2) For every finite G-simplicial complex X, the fixed point set \(X^ G=\emptyset\) if and only if \(X^{hG ...
Zabrodsky, A., Dror Farjoun, E.
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On fixed points of permutations [PDF]
The number of fixed points of a random permutation of 1,2,...,n has a limiting Poisson distribution. We seek a generalization, looking at other actions of the symmetric group. Restricting attention to primitive actions, a complete classification of the limiting distributions is given.
Diaconis, Persi +2 more
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AbstractWe consider fixed point logics, i.e., extensions of first order predicate logic with operators defining fixed points. A number of such operators, generalizing inductive definitions, have been studied in the context of finite model theory, including nondeterministic and alternating operators. We review results established in finite model theory,
Dawar, Anuj, Gurevich, Yuri
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Fixed point combinators as fixed points of higher-order fixed point generators
Corrado B\"ohm once observed that if $Y$ is any fixed point combinator (fpc), then $Y(\lambda yx.x(yx))$ is again fpc. He thus discovered the first "fpc generating scheme" -- a generic way to build new fpcs from old. Continuing this idea, define an $\textit{fpc generator}$ to be any sequence of terms $G_1,\dots,G_n$ such that
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FIXED POINTS AND APPROXIMATE FIXED POINTS IN PRODUCT SPACES
The paper deals with the general theme of what is known about the existence of fixed points and approximate fixed points for mappings which satisfy geometric conditions in product spaces. In particular it is shown that if X and Y are metric spaces each of which has the fixed point property for nonexpansive mappings, then the product space (X ×Y )∞ has ...
Espínola, R., Kirk, W. A.
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In the context of abstract interpretation for languages without higher-order features we study the number of times a functional need to be unfolded in order to give the least fixed point. For the cases of total or monotone functions we obtain an exponential bound and in the case of strict and additive (or distributive) functions we obtain a quadratic ...
Hanne Riis Nielson, Flemming Nielson
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Intuitionistic fixed point logic [PDF]
We study the system IFP of intuitionistic fixed point logic, an extension of intuitionistic first-order logic by strictly positive inductive and coinductive definitions. We define a realizability interpretation of IFP and use it to extract computational content from proofs about abstract structures specified by arbitrary classically true disjunction ...
Ulrich Berger 0001, Hideki Tsuiki
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On Essential Fixed Points [PDF]
Wenn jede stetige Abbildung des kompakten Hausdorffschen Raumes \(X\) in sich wenigstens einen Fixpunkt hat, so ist \(p \in X\) wesentlicher Fixpunkt von \(f: X \rightarrow p\). [\glqq Wesentlich\grqq{} bedeutet: Zu jeder Umgebung \(U\) von \(p\) gibt es in \(X^X\) (kompakt-offen topologisiert) eine Umgebung \(N\) von \(f\), so daß jedes \(g \in N ...
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