Two problems related to prescribed curvature measures

Existence of convex body with prescribed generalized curvature measures is discussed, this result is obtained by making use of Guan-Li-Li's innovative techniques. In surprise, that methods has also brought us to promote Ivochkina's $C^2$ estimates for prescribed curvature equation in \cite{I1, I}.Comment: 12 pages, Corrected typo

Thermal-magnetic noise measurement of spin-torque effects on ferromagnetic resonance in MgO-based magnetic tunnel junctions

Thermal-magnetic noise at ferromagnetic resonance (T-FMR) can be used to measure magnetic perpendicular anisotropy of nanoscale magnetic tunnel junctions (MTJs). For this purpose, T-FMR measurements were conducted with an external magnetic field up to 14 kOe applied perpendicular to the film surface of MgO-based MTJs under a dc bias. The observed frequency-field relationship suggests that a 20 A CoFeB free layer has an effective demagnetization field much smaller than the intrinsic bulk value of CoFeB, with 4PiMeff = (6.1 +/- 0.3) kOe. This value is consistent with the saturation field obtained from magnetometry measurements on extended films of the same CoFeB thickness. In-plane T-FMR on the other hand shows less consistent results for the effective demagnetization field, presumably due to excitations of more complex modes. These experiments suggest that the perpendicular T-FMR is preferred for quantitative magnetic characterization of nanoscale MTJs.Comment: 10 pages, 3 figures, accepted by AP

The extent of continental material in oceans: C-Blocks and the Laxmi Basin example

We propose a tectonic interpretation for the outer-SDRs (SDRs: Seaward-Dipping Reflectors) and Pannikar central ridge in the aborted Laxmi Basin west of India from wide-angle seismic reflection data. The outer-SDRs comprise syn-tectonic extrusives (lavas and/or volcaniclastics) emplaced above passively exhumed mid-to-lower mafic crust of continental origin. They erupted following sudden lithosphere weakening associated with isolation of a continental block (a ‘C-Block’). Continuous magmatic addition during crustal extension allowed stretching of the lower crust whilst maintaining constant or even increasing thickness. A similar process occurred at both conjugate margins allowing bulk, pure-shear plate separation and formation of linear magnetic anomalies. The Laxmi example can explain enigmatic features observed in mature oceans such as presence of distal buoyant plateaus of thick continental crust away from the margins

Universal behavior of giant electroresistance in epitaxial La0.67Ca0.33MnO3 thin films

We report a giant resistance drop induced by dc electrical currents in La0.67Ca0.33MnO3 epitaxial thin films. Resistance of the patterned thin films decreases exponentially with increasing current and a maximum drop shows at the temperature of resistance peak Tp. Variation of resistance with current densities can be scaled below and above Tp, respectively. This work can be useful for the future applications of electroresistance.Comment: 13 pages, 4 figure

Progress of Crop in Some Rhizophora Stands before First Thinning in Matang Mangrove Reserve of Peninsular Malaysia

The study reports the composition and growth pattern of the crops dominated by Rhizophora species in terms of stocking density, diameter and height growth in some well-managed stands in Matang Mangrove Reserve of Peninsular Malaysia. In all, 10 stands representing 6 years (4), 9 years (3) and 12 years (3) were studied. On an average there were 8371,4661 and 4181 stems/ha of Rhizophora in 6, 9 and 12 year-old crops respectively. Mean DBH and height for the respective age crops were 3.26 cm and 6.34 m, 5.50 cm and 10.96 m and 6.91 cm and 12.62 m. Highest mortalityoccu"edin 6-9 year-old crop. This period also showed best growth both in diameter and height. These studies indicate the need for silvicultural thinning in 6- 9 year-old crop. The climber Derris trifoliata may seriously affect growth and survival in some areas

Influence of traditional ecological knowledge on conservation of the skywalker hoolock gibbon (Hoolock tianxing) outside nature reserves

Although many species are threatened by hunting or resource extraction from indigenous human communities, traditional ecological knowledge (TEK) of local communities has the potential to support management and conservation of natural resources and wildlife. The newly described skywalker hoolock gibbon (Hoolock tianxing) is found on the border of China and Myanmar, and a large proportion of the remaining population in China occurs outside nature reserves. We surveyed this species across its range in China, and interviewed 622 people in 99 villages to evaluate the relationship between gibbon status and TEK of local communities. The total confirmed population was estimated to be less than 150 individuals. Gibbon subpopulations appear to have remained stable from 2009 to 2017 both within and outside nature reserves. Sociological and environmental correlates of gibbon survival outside the reserve were: (1) more Lisu than Han people present in villages; (2) greater forest cover; (3) greater distance from county towns; (4) existence of traditional taboos on hunting gibbons; and (5) higher dependency on forest resources by villagers. Interviewees living closer to surviving gibbon populations were more knowledgeable about gibbons, although interviewees living more than 25 km away also knew more about gibbons. Formal education level was also correlated with better knowledge of gibbons, and men were better informed about gibbons than women. TEK appears to limit poaching of gibbons, thus contributing to their survival. The persistence of gibbons outside nature reserves may depend on incorporating TEK within community-based conservation strategies

Global properties of Stochastic Loewner evolution driven by Levy processes

Standard Schramm-Loewner evolution (SLE) is driven by a continuous Brownian motion which then produces a trace, a continuous fractal curve connecting the singular points of the motion. If jumps are added to the driving function, the trace branches. In a recent publication [1] we introduced a generalized SLE driven by a superposition of a Brownian motion and a fractal set of jumps (technically a stable L\'evy process). We then discussed the small-scale properties of the resulting L\'evy-SLE growth process. Here we discuss the same model, but focus on the global scaling behavior which ensues as time goes to infinity. This limiting behavior is independent of the Brownian forcing and depends upon only a single parameter, $\alpha$, which defines the shape of the stable L\'evy distribution. We learn about this behavior by studying a Fokker-Planck equation which gives the probability distribution for endpoints of the trace as a function of time. As in the short-time case previously studied, we observe that the properties of this growth process change qualitatively and singularly at $\alpha =1$. We show both analytically and numerically that the growth continues indefinitely in the vertical direction for $\alpha > 1$, goes as $\log t$ for $\alpha = 1$, and saturates for $\alpha< 1$. The probability density has two different scales corresponding to directions along and perpendicular to the boundary. In the former case, the characteristic scale is $X(t) \sim t^{1/\alpha}$. In the latter case the scale is $Y(t) \sim A + B t^{1-1/\alpha}$ for $\alpha \neq 1$, and $Y(t) \sim \ln t$ for $\alpha = 1$. Scaling functions for the probability density are given for various limiting cases.Comment: Published versio