Complete diagrammatics of the single ring theorem

Using diagrammatic techniques, we provide explicit functional relations between the cumulant generating functions for the biunitarily invariant ensembles in the limit of large size of matrices. The formalism allows to map two distinct areas of free random variables: Hermitian positive definite operators and non-normal R-diagonal operators. We also rederive the Haagerup-Larsen theorem and show how its recent extension to the eigenvector correlation function appears naturally within this approach.Comment: 18 pages, 6 figures, version accepted for publicatio

Metodolog?a Para Ense?ar El Tema De La Energ?a Y Su Funcionamiento Por Dentro Y Por Fuera Del Cuerpo Humano

170 P?ginasRecurso Electr?nicoCuando miramos a nuestro alrededor vemos que las plantas crecen, se mueven los animales y las m?quinas y herramientas que realizan las tareas m?s diversas. Todas estas actividades tienen en el supuesto com?n que requiere de energ?a, es una propiedad asociada a los objetos y sustancias y se manifiesta en las transformaciones que se producen en la naturaleza. La energ?a se manifiesta en cambios f?sicos, por ejemplo, para levantar un objeto, el transporte, deforme o calentamiento, tambi?n est? presente en los cambios qu?micos, como por la quema de una pieza de madera o de la descomposici?n por la energ?a del agua. La combinaci?n de la energ?a y la materia constituyen el universo: la materia es la sustancia, y la energ?a es el motor de las personas. La idea es f?cil de entender el material, la materia es lo que usted puede ver, oler y sentir. Se tiene masa y ocupa un lugar en el espacio. Energ?a, por su parte, es m?s abstracta. Usted no puede ver, sentir, saborear ni oler. El ?nico momento en que la energ?a es evidente, es cuando experimenta cambios. Bien, nuestro cuerpo tambi?n necesita de poseer una gran cantidad de energ?a para moverse y realizar diferentes trabajos en su vida cotidiana.ABSTRACT As we look around us we see that the plants grow, move animals and machines and tools that perform the most varied tasks. All these activities have in common course requiring energy, is a property associated with the objects and substances and is manifested in the transformations that occur in nature. Energy is manifested in physical changes , for example, to lift an object , transporting , deform or heating , is also present in the chemical changes , such as by burning a piece of wood or decomposition by water power. The combination of energy and matter constitute the universe: matter is the substance, and energy is the engine of those. The idea is easy to grasp material, matter is what you can see, smell and feel. It has mass and occupies a place in space. Energy, by hand, is more abstract. You cannot see, feel, taste or smell. The only time that energy is evident, is when you experience changes. Well our body also needs to possess a large amount of energy to move and perform different jobs in their daily livesINTRODUCCI?N??????????????????????????????20 1. ANTECEDENTES?????????????????????????.? 23 2. JUSTIFICACI?N???????????.??????????????.?. 25 3. FORMULACI?N DEL PROBLEMA???????????...???????.27 4. PREGUNTA PROBLEMATIZADORA????????..????????..?28 5. MARCO CONTEXTUAL???????????.?????????.??? 29 6. OBJETIVOS ???????????.??????????????.??.... 38 6.1 OBJETIVO GENERAL???????????.??.???????????..38 6.2 OBJETIVOS ESPEC?FICOS?????????????.??????????39 6 7. MARCO TE?RICO ???????????.????????..????????40 8. DISE?O METODOL?GICO???????????.??????????...??70 8.1 UNIVERSO DE ESTUDIO???????????.?????.?????...??70 8.2 MUESTRA??????????????????.??????????...??70 8.3 TIPO DE INVESTIGACION???????????.????...??????...?70 8.4CORTE???????????.????????..??????.??????...71 8.5 CATEGORIAS???????????.????????...?????????.71 8.6 INSTRUMENTOS DE RECOLECCION DE LA INFORMACI?N?????.???71 8.7 PROCESAMIENTO Y ANALISIS DE LA INFORMACI?N????????.?...?72 8.8 PRODUCTO O RESULTADO DEL ESTUDIO?????????????...??72 9. CRONOGRAMA DE ACTIVIDADES???????????.?????????74 10. RESULTADOS???????????.??????????...???????77 7 10.1 PRE-TEST???????????.???????.???...????????.77 10.1.1 PRE-TEST GRADO QUINTO ?A? INSTITUCI?N EDUCATIVA LICEO JOSE MARIA VILLA DE SOPETR?N????????????????????????77 10.1.2 PRE-TEST GRADO QUINTO ?B? INSTITUCI?N EDUCATIVA LICEO JOSE MARIA VILLA DE SOPETR?N????????????????????????90 10.1.3 PRE-TEST GRADO QUINTO ?B? INSTITUCI?N EDUCATIVA FRANCISCO ABEL GALLEGO DE SAN JOS? DE LA MONTA?A????????.??????104 10.2 POS-TEST?????????????????????????????...119 10.2.1 POS-TEST GRADO QUINTO ?A? INSTITUCI?N EDUCATIVA LICEO JOSE MARIA VILLA DE SOPETR?N????????????????.???????.119 10.2.2 POS-TEST GRADO QUINTO ?B? INSTITUCI?N EDUCATIVA LICEO JOSE MARIA VILLA DE SOPETR?N???????????????.????????.131 10.2.3 POS-TEST GRADO QUINTO ?B? INSTITUCI?N EDUCATIVA FRANCISCO ABEL GALLEGO DE SAN JOS? DE LA MONTA?A????????.??????143 11.CONCLUSIONES???????????????????...???????..158 RECOMENDACIONES???????????.??????????...?...?159 8 REFERENCIAS???????????.????????...????????...?160 ANEXOS???????????.????????...?????????.???.16

Spectral density of generalized Wishart matrices and free multiplicative convolution

We investigate the level density for several ensembles of positive random matrices of a Wishart--like structure, $W=XX^{\dagger}$, where $X$ stands for a nonhermitian random matrix. In particular, making use of the Cauchy transform, we study free multiplicative powers of the Marchenko-Pastur (MP) distribution, ${\rm MP}^{\boxtimes s}$, which for an integer $s$ yield Fuss-Catalan distributions corresponding to a product of $s$ independent square random matrices, $X=X_1\cdots X_s$. New formulae for the level densities are derived for $s=3$ and $s=1/3$. Moreover, the level density corresponding to the generalized Bures distribution, given by the free convolution of arcsine and MP distributions is obtained. We also explain the reason of such a curious convolution. The technique proposed here allows for the derivation of the level densities for several other cases.Comment: 10 latex pages including 4 figures, Ver 4, minor improvements and references updat

Branching ratios for the beta decay of 21Na

We have measured the beta-decay branching ratio for the transition from 21Na to the first excited state of 21Ne. A recently published test of the standard model, which was based on a measurement of the beta-nu correlation in the decay of 21Na, depended on this branching ratio. However, until now only relatively imprecise (and, in some cases, contradictory) values existed for it. Our new result, 4.74(4)%, reduces but does not remove the reported discrepancy with the standard model.Comment: Revtex4, 2 fig

Experimental Validation of the Largest Calculated Isospin-Symmetry-Breaking Effect in a Superallowed Fermi Decay

A precision measurement of the gamma yields following the beta decay of 32Cl has determined its isobaric analogue branch to be (22.47^{+0.21}_{-0.19})%. Since it is an almost pure Fermi decay, we can also determine the amount of isospin-symmetry breaking in this superallowed transition. We find a very large value, delta_C=5.3(9)%, in agreement with a shell-model calculation. This result sets a benchmark for isospin-symmetry-breaking calculations and lends support for similarly-calculated, yet smaller, corrections that are currently applied to 0+ -> 0+ transitions for tests of the Standard Model

Employee benefits and challenges of telecommuting virtual working arrangements in the services industry

M. Comm.Virtual working arrangements, including telecommuting, are on the increase globally due to the challenges that organisations face in the current global economy. Virtual working arrangements present considerable possible benefits to organisations, employees and the community at large if correctly implemented. It is estimated that 45 million Americans teleworked in 2006 alone (O’Brien & Hayden, 2007) with predictions of the number reaching 100 million in the United States of America by 2010 (Wilsker, 2008). However, in South Africa this organisational form is not well documented or implemented presently. As a result, local organisations are unaware of the employee benefits and challenges that will be faced when implementing a telecommuting programme and how best to implement teleworking arrangements with these factors in mind

Error analysis of free probability approximations to the density of states of disordered systems

Theoretical studies of localization, anomalous diffusion and ergodicity breaking require solving the electronic structure of disordered systems. We use free probability to approximate the ensemble- averaged density of states without exact diagonalization. We present an error analysis that quantifies the accuracy using a generalized moment expansion, allowing us to distinguish between different approximations. We identify an approximation that is accurate to the eighth moment across all noise strengths, and contrast this with the perturbation theory and isotropic entanglement theory.Comment: 5 pages, 3 figures, submitted to Phys. Rev. Let

Rank rigidity for CAT(0) cube complexes

We prove that any group acting essentially without a fixed point at infinity on an irreducible finite-dimensional CAT(0) cube complex contains a rank one isometry. This implies that the Rank Rigidity Conjecture holds for CAT(0) cube complexes. We derive a number of other consequences for CAT(0) cube complexes, including a purely geometric proof of the Tits Alternative, an existence result for regular elements in (possibly non-uniform) lattices acting on cube complexes, and a characterization of products of trees in terms of bounded cohomology.Comment: 39 pages, 4 figures. Revised version according to referee repor

Random graph states, maximal flow and Fuss-Catalan distributions

For any graph consisting of $k$ vertices and $m$ edges we construct an ensemble of random pure quantum states which describe a system composed of $2m$ subsystems. Each edge of the graph represents a bi-partite, maximally entangled state. Each vertex represents a random unitary matrix generated according to the Haar measure, which describes the coupling between subsystems. Dividing all subsystems into two parts, one may study entanglement with respect to this partition. A general technique to derive an expression for the average entanglement entropy of random pure states associated to a given graph is presented. Our technique relies on Weingarten calculus and flow problems. We analyze statistical properties of spectra of such random density matrices and show for which cases they are described by the free Poissonian (Marchenko-Pastur) distribution. We derive a discrete family of generalized, Fuss-Catalan distributions and explicitly construct graphs which lead to ensembles of random states characterized by these novel distributions of eigenvalues.Comment: 37 pages, 24 figure