5,155 research outputs found

    Determined Admissible Sets

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    It is shown, from hypotheses in the region of ω2\omega^2 Woodin cardinals, that there is a transitive model of KP + ADR_\mathbb{R} containing all reals.Comment: 15 page

    Exact thermodynamics of a planar array of Ginzburg-Landau chains with nn and nnn interactions

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    The exact expression of the free energy of a planar array of a Ginzburg-Landau chains with nn and nnn interaction is obtained. The critical behaviour of the specific heat is not qualitatively modified by taking into account the nnn interaction

    Self-synchronized duty-cycling for sensor networks with energy harvesting capabilities: Implementation in Wiselib

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    In this work we present a protocol for a self- synchronized duty-cycling mechanism in wireless sensor net- works with energy harvesting capabilities. The protocol is im- plemented in Wiselib, a library of generic algorithms for sensor networks. Simulations are conducted with the sensor network simulator Shawn. They are based on the specifications of real hardware known as iSense sensor nodes. The experimental results show that the proposed mechanism is able to adapt to changing energy availabilities. Moreover, it is shown that the system is very robust against packet loss.Postprint (published version

    The consistency strength of long projective determinacy

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    We determine the consistency strength of determinacy for projective games of length omega(2). Our main theorem is that Pi(1)(n+1)-determinacy for games of length omega(2) implies the existence of a model of set theory with omega + n Woodin cardinals. In a first step, we show that this hypothesis implies that there is a countable set of reals A such that M-n(A), the canonical inner model for n Woodin cardinals constructed over A, satisfies A = R and the Axiom of Determinacy. Then we argue how to obtain a model with omega + n Woodin cardinal from this. We also show how the proof can be adapted to investigate the consistency strength of determinacy for games of length omega(2) with payoff in (sic)(R)Pi(1)(1) or with sigma-projective payoff
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