A twistor model is proposed for the free relativistic anyon. The Hamiltonian reduction of this model by the action of the spin generator leads to the minimal covariant model; whereas that by the action of spin and mass generators, to the anyon model with free phase space that is a cotangent bundle of the Lobachevsky plane with twisted symplectic structure. Quantum mechanics of that model is des...

In the last lecture, we discussed a recursive construction of a pseudorandom generator that is based on expanders: the INW generator. In this lecture we will show that the INW-generator with a suitable instantiation of an expander family produces pseudorandomness for machines that run in logarithmic space. We also introduce Nisan’s generator, which is a pseudorandom generator that has a recursi...

Deep generative models provide a systematic way to learn nonlinear data distributions through a set of latent variables and a nonlinear “generator” function that maps latent points into the input space. The nonlinearity of the generator implies that the latent space gives a distorted view of the input space. Under mild conditions, we show that this distortion can be characterized by a stochasti...

A twistor model is proposed for the free relativistic anyon. The Hamiltonian reduction of this model by the action of the spin generator leads to the minimal covariant model; whereas that by the action of spin and mass generators, to the anyon model with free phase space that is a cotangent bundle of the Lobachevsky plane with twisted symplectic structure. Quantum mechanics of that model is des...

We consider the impact of multi-parton interactions, colour reconnection and hadronization on modeling vector boson fusion scattering (VBS) final states at Large Hadron Collider (LHC). investigate how variation model parameters, compatible with a reasonable spread predictions around typical tuning observables, extrapolates into VBS phase space. study implications this total uncertainty budget a...

The article presents the concept of an electromagnetic circuit generator with permanent magnets mounted on the surface rotor core designed for single phase work. Computation field-circuit model was shown. The spectrum of time course of voltages in the idle work was presented. The cross section with graphically presentation of magnetic induction in particular parts of electromagnetic circuits wa...

We describe all real points of the parameter space of two-generator Kleinian groups with a parabolic generator, that is, we describe a certain twodimensional slice through this space. In order to do this we gather together known discreteness criteria for two-generator groups and present them in the form of conditions on parameters. We complete the description by giving discreteness criteria for...

Combined presentation of the talks given by the two authors at the workshop " RHIC Physics and Beyond – Abstract. We report on work done in collaboration with Klaus Kinder-Geiger and John Ellis which aims at connecting the space-time structure of event generator simulations with observable output. Klaus Geiger was an important driving force in our search for understanding the dynamics of ultrar...

Department of Electrical Engineering, University of Engineering and Technology, Lahore, Pakistan Contact: : [email protected] [email protected] [email protected] ABSTRACT: This paper presents the sensor-less control of a PMSM using extended Kalman Filter and a four switch three phase inverter implemented using FPGA Spartan 3-e. The system was modeled in Matlab/Simulink® and ver...