Consistency strength of the axiom of full reflection at large cardinals

We prove that the Axiom of Full Reflection at a measurable cardinal is equiconsistent with the existence of a measurable cardinal. We generalize the result also to larger cardinals such as strong or supercompact cardinals.     

Some results on the nonstationary ideal II

This paper is a continuation of [Gi]. We show that the upper bound of [Gi] on the strength of NS _μ ⁺ precipitous for a regular μ is exact. The upper bounds on the strength of NS_κ precipitous for inaccessible κ are reduced quite close to the lower bounds.     

On the strength of no normal precipitous filter

We consider a question of T. Jech and K. Prikry that asks if the existence of a precipitous filter implies the existence of a normal precipitous filter. The aim of this paper is to improve a result of Gitik (Israel J Math, 175:191?C219, 2010) and to show that measurable cardinals of a higher order rather than just measurable cardinals are necessary in order to have a model with a precipitous filter but without a normal one.     

Elastic Anomalies at Charge Density Wave Transitions in TaS3 and NbSe3

Abstract

The temperature dependence of the Young's modulus and internal friction of TaS₃ (orthorhombic) and NbSe₃ have been measured by the vibrating reed technique. There is a large minimum 2%, in the modulus of TaS₃ at the commensurate Peierls distortion (T_c = 222K) and the internal friction increases below T_c(ΔQ^?1 = 5×10^?5), although no critical relaxation effects are observed. On the other hand, a very small minimum, ΔE/E ~ 0.06%, is observed at the upper incommensurate transition in NbSe₃, and a small broad increase (0.03%) at the lower transition. The measurements allow estimates to be made of the stress dependence of the transition temperature and of the electron-phonon coupling constant.     

On Proving Too Much

It is quite common to object to an argument by saying that it “proves too much.” In this paper, I argue that the “proving too much” charge can be understood in at least three different ways. I explain these three interpretations of the “proving too much” charge. I urge anyone who is inclined to level the “proving too much” charge against an argument to think about which interpretation of that charge one has in mind.     

Frequency domain simulations of charge-density-wave strains: Comparison with electro-optic measurements

We have studied changes in charge-density-wave strain under application of square-wave currents of variable amplitude and frequency by numerically solving the phase-slip augmented diffusion model introduced by Adelman et al. [T.L. Adelman, M.C. de Lind van Wijngaarden, S.V. Zaitsev-Zotov, D. DiCarlo, R.E. Thorne, Phys. Rev. B 53 (1996) 1833]. The frequency dependence of the strain, at each position and amplitude, was fitted to a modified harmonic oscillator expression, and the position and current dependence of the fitting parameters determined. In particular, the delay time (1 /resonant frequency) vanishes adjacent to the contact and grows with distance from the contact, and both the delay time and relaxation time decrease rapidly with increasing current (and phase-slip rate), as experimentally observed in the electro-optic response of blue bronze. We have also found that pinning the phase at the contacts causes more rapid changes in strain between the contacts than allowing the phase to flow outside the contacts.     

On hidden extenders

We prove the following theorem: Suppose that there is a singular with the set of 's with unbounded in it for every . Then in a generic extesion there are two precovering sets which disagree about common indiscernibles unboundedly often. Received February 7, 1994