Central limit theorems for multiple stochastic integrals and Malliavin calculus

We give a new characterization for the convergence in distribution to a standard normal law of a sequence of multiple stochastic integrals of a fixed order with variance one, in terms of the Malliavin derivatives of the sequence. We extend our result to the multidimensional case and prove a weak convergence result for a sequence of square integrable random variables.Comment: 16 page

The Parallelometer: a mechanical device to study curvature

A simple mechanical device is introduced, the parallelometer, that can be used to measure curvatures of surfaces. The device can be used as a practical illustration of parallel transport of a vector and to study Berry phase shift when it is carried along a loop on the surface. Its connection to the Foucault pendulum is discussed. The experimental results can be successfully compared with the theoretical expectations. The experiment is inexpensive and conceptually easy to perform and understand for a beginner

Rad-hard vertical JFET switch for the HV-MUX system of the ATLAS upgrade Inner Tracker

This work presents a new silicon vertical JFET (V-JFET) device, based on the trenched 3D-detector technology developed at IMB-CNM, to be used as switches for the High-Voltage powering scheme of the ATLAS upgrade Inner Tracker. The optimization of the device characteristics is performed by 2D and 3D TCAD simulations. Special attention has been paid to the on-resistance and the switch-off and breakdown voltages to meet the specific requirements of the system. In addition, a set of parameter values has been extracted from the simulated curves to implement a SPICE model of the proposed V-JFET transistor. As these devices are expected to operate under very high radiation conditions during the whole experiment life-time, a study of the radiation damage effects and the expected degradation on the device performance is also presented at the end of the paper.Comment: KEYWORDS: Radiation-hard electronics; Voltage distributions; Large detector systems for particle and astroparticle physics. 9 Pages, 7 Figure

Sun of Justice Rising: Tonatierra Community Development Institute

Salvador Reza, a longtime organizer for indigenous Mexican rights, helped lead a successful campaign to organize taco vendors in Phoenix. Faced with a local ordinance that would restrict the operation of mobile food stands, effectively banning them, Reza and his colleagues at Tonatierra mobilized the vendors to fight back. Their ultimate success recaptured the spirit of a community traumatized by 500 years of colonization and cultural destruction. Tonatierra's strategies included the following:Involve Vendors: Once vendors understood that the ordinance targeted them and threatened their livelihoods, they were able to establish a working group, representative of the community. They fashioned a way of regulating vendors that would ensure safe food and safe neighborhoods.Create a Team and a United Voice: The vendors negotiated among themselves until they could present their recommendations as a team.Rekindle Culture: According to Reza, "We are fighting back, but not with weapons of guns. Our weapons are culture and understanding and communication.

Space-division multiplexing for fiber-wireless communications

We envision the application of optical Space-division Multiplexing (SDM) to the next generation fiber-wireless communications as a firm candidate to increase the end user capacity and provide adaptive radiofrequency-photonic interfaces. This approach relies on the concept of fiber-distributed signal processing, where the SDM fiber provides not only radio access distribution but also broadband microwave photonics signal processing. In particular, we present two different SDM fiber technologies: dispersion-engineered heterogeneous multicore fiber links and multicavity devices built upon the selective inscription of gratings in homogeneous multicore fibers.Comment: 4 pages, 20th International Conference on Transparent Optical Networks (ICTON), Girona (Spain), 2017. arXiv admin note: text overlap with arXiv:1810.1213