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"Holographic Quantum Matter describes a new field that has emerged in the past decade at the interface of condensed matter physics and quantum gravity. Experimental discoveries in condensed matter have led to the identification of numerous materials--like high temperature superconductors (HTS)--in which the collective motion of electrons requires deeper understand of quantum effects at large length scales. HTS's act as a "strange metal" in which the charge and energy is not carried by quasiparticles. In the meantime, studies of quantum gravity using string theory led to a major breakthrough with the identification of a mathematical tool known as the holographic correspondence. The authors describe the developments that followed with the realization that states of quantum matter without quasiparticle excitations are precisely those that are efficiently described by the holographic correspondence. The book is addressed to graduate students in theoretical physics, especially those specializing in condensed matter, string theory, or quantum field theory. It presents the necessary background in the study of quantum matter and in string theory, so that students in both fields are apprised of recent developments in the other field. It connects this introductory discussion to what are the most important recent developments. It provides the tools and motivation for performing holographic computations. And it explains how the salient technical results from holographic studies have led to new insights into quantum matter"--

Holography. --- Duality (Nuclear physics) --- Condensed matter. --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Matter --- Solids --- Nuclear reactions --- Scattering (Physics) --- Laser photography --- Lensless photography --- Photography, Lensless --- Wavefront reconstruction imaging --- Diffraction --- Holographic interferometry --- Interference (Light) --- Interferometry --- Laser recording --- Photonics --- Speckle metrology --- Three-dimensional display systems --- quantum matter --- holographic --- condensed matter --- condensed matter physics --- quantum --- quantum field theory --- holographic duality --- duality --- black hole --- superconductors --- theoretical physics --- quantum gravity --- holographic principle --- gauge theory --- string theory --- cosmology --- adSCFT correspondence --- anti-de Sitterconformal field theory correspondence --- Maldacena duality --- gaugegravity duality --- holographic correspondence

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This open access book analyzes the dualism and inequality insofar as how it is manifested in interregional disparity and small enterprises. Using the case of Indonesia, the author considers how the general direction of policy should be to mitigate the effects of agglomeration forces leading towards concentration, and exploit the same forces by encouraging small businesses to operate in a cluster for collective action. The book addresses these issues by focusing on the role of interactions between policies and institutions, of which social capital is an important part.

Infrastructure (Economics) --- Sustainable development --- Indonesia --- Economic policy. --- Open Access --- Institutions and Social Capital in Indonesia --- Boeke's Dualistic Theory --- Boeke's Social Dualism --- Social Dualism and Development in Indonesia --- Socio-economic duality in Indonesia --- Social Dualism and Inequality in Indonesia

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Arguments minimalistes est une présentation systématique et détaillée du Programme Minimaliste défini par Noam Chomsky il y a une vingtaine d’années et qui n’a cessé d’évoluer depuis. Le livre dresse un état des lieux de la théorie générative d’aujourd’hui, en prenant pour point de départ les textes de Chomsky lui-même. Le minimalisme inaugure une nouvelle façon de penser syntaxiquement et il vaut la peine d’examiner en détail les arguments que Chomsky invoque à l’appui de ce nouveau programme, qui met l’accent sur un ensemble de facteurs relativement ignorés dans les modèles précédents, mais qui doivent être, selon Chomsky, pris en compte prioritairement quand on cherche à construire une théorie du langage pleinement adéquate, allant au delà de l’adéquation explicative. Le fait que le langage soit en relation d’interface avec d’autres systèmes cognitifs auxquels il doit livrer des représentations lisibles, la nécessité de représenter la dualité de la sémantique, celle de linéariser les objets structuralement complexes produits par le mécanisme computationnel sont autant de dimensions qui contribuent nécessairement à façonner la Faculté de Langage et doivent intervenir dans la construction des grammaires. Cette synthèse, qui vise aussi à familiariser le lecteur avec les techniques d’analyse minimaliste, s’adresse aux étudiants avancés et aux linguistes confirmés, intéressés par la syntaxe et par les modèles formels en linguistique. Arguments minimalistes (Minimalist Arguments) is a state-of-the-art detailed and systematic introduction to the Minimalist Program, which was proposed by Chomsky twenty years ago and has been evolving ever since. The book reviews the current state of generative theory by taking Chomsky’s texts as a starting point. Minimalism introduces a new way of thinking syntactically and it is worth examining in detail the arguments that Chomsky puts forth in support of this new program, which places the emphasis on a set of factors that were…

Chomsky, Noam A. --- Minimalist theory (Linguistics) --- Minimalisme (Linguistique) --- Chomsky, Noam, --- Chomsky, Noam --- Linguistics --- Minimalist Program --- principles and parameters --- interfaces --- third factor --- duality of sementics --- externalization --- principes et paramètres --- facteur 3 --- dualité de la sémantique --- externalisation --- interface --- Chomsky (Noam) --- linguistique --- grammaire générative --- programme minimaliste --- syntaxe

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This book presents collective works published in the recent Special Issue (SI) entitled "Multivariate Approximation for Solving ODE and PDE". These papers describe the different approaches and related objectives in the field of multivariate approximation. The articles in fact present specific contents of numerical methods for the analysis of the approximation, as well as the study of ordinary differential equations (for example oscillating with delay) or that of partial differential equations of the fractional order, but all linked by the objective to present analytical or numerical techniques for the simplification of the study of problems involving relationships that are not immediately computable, thus allowing to establish a connection between different fields of mathematical analysis and numerical analysis through different points of view and investigation. The present contents, therefore, describe the multivariate approximation theory, which is today an increasingly active research area that deals with a multitude of problems in a wide field of research. This book brings together a collection of inter-/multi-disciplinary works applied to many areas of applied mathematics in a coherent manner.

nonlinear equations --- iteration methods --- one-point methods --- order of convergence --- oscillatory solutions --- nonoscillatory solutions --- second-order --- neutral differential equations --- multiple roots --- optimal convergence --- bivariate function --- divided difference --- inverse difference --- blending difference --- continued fraction --- Thiele–Newton’s expansion --- Viscovatov-like algorithm --- symmetric duality --- non-differentiable --- (G,αf)-invexity/(G,αf)-pseudoinvexity --- (G,αf)-bonvexity/(G,αf)-pseudobonvexity --- duality --- support function --- nondifferentiable --- strictly pseudo (V,α,ρ,d)-type-I --- unified dual --- efficient solutions --- Iyengar inequality --- right and left generalized fractional derivatives --- iterated generalized fractional derivatives --- generalized fractional Taylor’s formulae --- poisson equation --- domain decomposition --- asymmetric iterative schemes --- group explicit --- parallel computation --- even-order differential equations --- neutral delay --- oscillation --- Hilbert transform --- Hadamard transform --- hypersingular integral --- Bernstein polynomials --- Boolean sum --- simultaneous approximation --- equidistant nodes --- fourth-order --- delay differential equations --- riccati transformation --- parameter estimation --- physical modelling --- oblique decomposition --- least-squares

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The present volume collects the contributions selected for publication in the Special Issue entitled "Microlocal and Time-Frequency Analysis" of the journal Mathematics, edited by Elena Cordero and S. Ivan Trapasso over 2020 and 2021.

pseudodifferential operators --- Gevrey regularity --- sharp Gårding inequality --- p-evolution equations --- ultradifferentiable functions --- ultradistributions --- extended Gevrey regularity --- boundary values of analytic functions --- wave front sets --- Rio Papaloapan Bridge --- vibration signals --- damage identification --- wavelet energy accumulation method --- admissibility condition --- the continuous wavelet transform --- inversion formula --- semi-discrete wavelet transform --- tight frames --- covriance matrix --- polar duality --- uncertainty principle --- reconstruction problem --- BBM equation --- ill-posedness --- Fourier amalgam spaces --- Wiener amalgam spaces --- Fourier–Lebesgue spaces --- modulation spaces --- bounded measures --- convolution --- homogeneous Banach spaces --- integrated group representation --- Segal algebra --- Wiener amalgam space --- bounded uniform partition of unity --- locally compact groups