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In this article, we discuss the Lefschetz trace formula for an adic space which is separated smooth of finite type but not necessarily proper over an algebraically closed non-archimedean field. Under...
Optimal boundary holes for the Sobolev trace constant
Optimal boundary holes the Sobolev trace constant
2010/11/18
In this paper we study the problem of minimizing the Sobolev trace Rayleigh quotient $\|u\|_{W^{1,p}(\Omega)}^p / \|u\|_{L^q(\partial\Omega)}^p$ among functions that vanish in a set contained on the b...
Spontaneous Breaking of Conformal Invariance and Trace Anomaly Matching
Conformal Invariance Trace Anomaly Matching
2010/12/22
We argue that when conformal symmetry is spontaneously broken the trace anomalies in the broken and unbroken phases are matched. This puts strong constraints on the various couplings of the dilaton. U...
Solar Flare Physics Enlivened by TRACE and RHESSI
Solar flares particle acceleration hard X-rays
2010/9/15
The Transition Region and Coronal Explorer (TRACE) gave us the highestEUVspatial resolution and the Ramaty High Energy Solar Spectrometric Imager (RHESSI) gave us the highest hard X-ray and gammaray s...
A note on trace scaling actions and fundamental groups of $C^*$-algebras
Fundamental group Trace scaling action Dimension group
2010/12/1
Using Effros-Handelman-Shen theorem and Elliott’s classification theorem of AF algebras, we show that there exists a unital simple AF algebra A with unique trace such that A K admits no trace scaling ...
Trace formula for dielectric cavities II: Regular, pseudo-integrable, and chaotic examples
Trace formula for dielectric cavities pseudo-integrable chaotic examples
2010/10/27
Dielectric resonators are open systems particularly interesting due to their wide range of applications in optics and photonics. In a recent paper [PRE 78, 056202 (2008), Ref. [3]] the trace formula f...
Improved Caffarelli-Kohn-Nirenberg and trace inequalities for radial functions
radial functions Caffarelli-Kohn-Nirenberg inequalities trace inequalities
2010/11/29
We show that Caffarelli-Kohn-Nirenberg first order interpolation inequalities as well as weighted trace inequalities in Rn × R+ admit a better range of power weights if we restrict ourselves to the sp...
Trace formula for dielectric cavities II: Regular, pseudo-integrable, and chaotic examples
Trace formula dielectric cavities Regular pseudo-integrable chaotic examples
2010/12/16
Dielectric resonators are open systems particularly interesting due to their wide range of applications in optics and photonics. In a recent paper [PRE 78, 056202 (2008), Ref. [3]] the trace formula f...
Entanglement evolution of non-trace-preserving maps
Entanglement evolution non-trace-preserving maps
2010/10/21
By solving the Schrodinger equation one obtains the whole energy spectrum, both the bound and
the continuum states. If the Hamiltonian depends on a set of parameters, these could be tuned to a trans...
Effect of organic matrices on the determination of the trace element chemistry (Mg, Sr, Mg/Ca, Sr/Ca) of aragonitic bivalve shells (Arctica islandica) —Comparison of ICP-OES and LA-ICP-MS data
trace elements bivalve shell organics LA-ICP-MS ICP-OES sclerochronology
2017/8/9
The element chemistry of biogenic carbonates can provide important data on past environments. However, the Sr/Ca and Mg/Ca ratios as well as the Mg and Sr concentrations of biological carbonates, espe...
An investigation of the sub-grid variability of trace gases and aerosols for global climate modeling
the sub-grid variability trace gases and aerosols global climate modeling
2010/8/16
One fundamental property and limitation of grid based models is their inability to identify spatial details smaller than the grid cell size. While decades of work have gone into developing sub-grid tr...
Estimated total emissions of trace gases from the Canberra Wildfires of 2003: a new method using satellite measurements of aerosol optical depth & the MOZART chemical transport model
the Canberra Wildfires of 2003 aerosol optical depth the MOZART chemical transport model
2010/8/13
In this paper we describe a new method for estimating trace gas emissions from large vegetation fires using satellite measurements of aerosol optical depth (AOD) at 550 nm, combined with an atmospheri...
Modification of a Porous Sheet (MAPS) for the High-Performance Solid-Phase Extraction of Trace and Ultratrace Elements by Radiation-Induced Graft Polymerization
Modification Porous Sheet High-Performance Solid-Phase Extraction Trace Ultratrace Elements Radiation-Induced Graft Polymerization
2010/9/13
In this review, the preparation of a novel porous sheet designed for solid-phase extraction (SPE) and a comparison of the preconcentration performance of metal ions with conventional sorbents are des...
Atmospheric wet deposition of mercury and other trace elements in Pensacola, Florida
Atmospheric wet deposition mercury other trace elements Pensacola
2010/8/13
In an effort to understand and quantify the impact of local, regional, and far-distant atmospheric mercury sources to rainfall mercury deposition in the Pensacola, Florida watershed, a program of even...
Trace Analysis of Polycyclic Aromatic Hydrocarbons Using Gas Chromatography–Mass Spectrometry Based on Nanosecond Multiphoton Ionization
Trace Analysis Polycyclic Aromatic Hydrocarbons Gas Chromatography–Mass Spectrometry Based Nanosecond Multiphoton Ionization
2010/9/15
Gas chromatography/resonance-enhanced multiphoton ionization/time-of-flight mass spectrometry (GC/REMPI-TOFMS) using an ultraviolet nanosecond laser was employed in the trace analysis of polycyclic ar...