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The architecture of complexity
 Proceedings of the American Philosophical Society
, 1962
"... A number of proposals have been advanced in recent years for the development of “general systems theory ” that, abstracting from properties peculiar to physical, biological, or social systems, would be applicable to all of them. 1 We might well feel that, while the goal is laudable, systems of such ..."
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Cited by 772 (1 self)
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of such diverse kinds could hardly be expected to have any nontrivial properties in common. Metaphor and analogy can be helpful, or they can be misleading. All depends on whether the similarities the metaphor captures are significant or superficial. It may not be entirely vain, however, to search for common
Topologically nontrivial quantum layers
 J. Math. Phys
"... Given a complete noncompact surface Σ embedded in R 3, we consider the Dirichlet Laplacian in the layer Ω that is defined as a tubular neighbourhood of constant width about Σ. Using an intrinsic approach to the geometry of Ω, we generalise the spectral results of the original paper [1] by Duclos et ..."
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Cited by 31 (6 self)
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et al. to the situation when Σ does not possess poles. This enables us to consider topologically more complicated layers and state new spectral results. In particular, we are interested in layers built over surfaces with handles or several cylindrically symmetric ends. We also discuss more general
Nontrivial solutions for noncooperative elliptic systems at resonance
, 2001
"... In this article we establish the existence of a nonzero solution for variational noncooperative elliptic systems under Dirichlet boundary conditions and a resonant condition at infinity. Situations where the problem is nonresonant and resonant at the origin are considered. The results are based on a ..."
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Cited by 5 (2 self)
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In this article we establish the existence of a nonzero solution for variational noncooperative elliptic systems under Dirichlet boundary conditions and a resonant condition at infinity. Situations where the problem is nonresonant and resonant at the origin are considered. The results are based
Two nontrivial index theorems in odd dimensions
"... A recent paper of Ho˘rava and Witten [HW]—part of the current flurry of activity in string theory—contains an anomaly computation for S1 /〈τ 〉 × R10, where 〈τ 〉 is the cyclic group of order two generated by a reflection. It was well established 10 years ago (e.g. [AS1], [F1]) that anomalies measure ..."
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Cited by 2 (0 self)
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measure nontriviality in the determinant line bundle of a family of Dirac operators, and so can be computed topologically from the AtiyahSinger index theory. The novelty in the Ho˘ravaWitten computation is a nontrivial index in odd dimensions of a type not seen in standard index theory. We abstract two
NonTrivial Solutions to the NPerson Prisoners ’ Dilemma
"... We have developed a new agentbased simulation tool to model social dilemmas for the case of a large number of not necessarily rational decisionmakers (Szilagyi and Szilagyi, 2000). The combination of various personalities with stochastic learning makes it possible to simulate the multiperson Pris ..."
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person Prisoners ’ Dilemma game for realistic situations. A variety of personality profiles and their arbitrary combinations can be represented, including agents whose probability of cooperation changes by an amount proportional to its reward from the environment. For the case of such agents the game has nontrivial
Situations, si! situation terms, no!
 IN PROC. KR04
, 2004
"... The situation calculus, as proposed by McCarthy and Hayes, and developed over the last decade by Reiter and coworkers, is reconsidered. A new logical variant is proposed that captures much of the expressive power of the original, but where certain technical results are much more easily proven. This ..."
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Cited by 7 (4 self)
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. This is illustrated using two existing nontrivial results: the regression theorem and the determinacy of knowledge theorem of Reiter. We also obtain a regression theorem for knowledge, and show how to reduce reasoning about knowledge and action to nonepistemic nondynamic reasoning about the initial situation.
EXISTENCE OF NONTRIVIAL HARMONIC FUNCTIONS ON CARTANHADAMARD MANIFOLDS OF UNBOUNDED CURVATURE
, 802
"... Abstract. The Liouville property of a complete Riemannian manifold M (i.e., the question whether there exist nontrivial bounded harmonic functions on M) attracted a lot of attention. For CartanHadamard manifolds the role of lower curvature bounds is still an open problem. We discuss examples of Ca ..."
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Cited by 7 (1 self)
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to be blown up in a nontrivial way. Such examples indicate that the situation concerning the famous conjecture of Greene and Wu about existence of nontrivial bounded harmonic functions on CartanHadamard manifolds is much more complicated than one might have expected. Contents
Nonlinear Dynamics in QED 3 and Nontrivial Infrared Structure
, 1999
"... In this work we consider a coupled system of SchwingerDyson equations for selfenergy and vertex functions in QED3. Using the concept of a semiamputated vertex function, we manage to decouple the vertex equation and transform it in the infrared into a nonlinear differential equation of EmdenFowl ..."
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Fowler type. Its solution suggests the following picture: in the absence of infrared cutoffs there is only a trivial infrared fixedpoint structure in the theory. However, the presence of masses, for either fermions or photons, changes the situation drastically, leading to a massdependent nontrivial
Designing Roles for Situated Agents
 5TH WORKSHOP ON AGENTORIENTED SOFTWARE ENGINEERING, AAMAS
, 2004
"... Engineering nontrivial open multiagent systems is a challenging task. Our research focusses on situated multiagent systems, i.e. systems in which agents are explicitly placed in an environment which agents can perceive and in which they can act. Situated agents do not use longterm planning t ..."
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Cited by 7 (3 self)
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Engineering nontrivial open multiagent systems is a challenging task. Our research focusses on situated multiagent systems, i.e. systems in which agents are explicitly placed in an environment which agents can perceive and in which they can act. Situated agents do not use longterm planning
Requirements for Representing Situations ⋆
"... Abstract. This paper describes experiences with the limitations imposed by OWL on the representation of common constructs in two distinct application domains: qualitative reasoning models in ecology, and ontology based legal reasoning. We will show that OWL is not expressive enough to unambiguously ..."
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Cited by 4 (3 self)
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represent situations using restrictions. Secondly, we show that representing the idea that instances in different concrete situations are actually the same individual, is a nontrivial issue which cannot be adequately solved in OWL. Thirdly, a representation of a general situation cannot be easily reused
Results 1  10
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723