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The classical subjects of geometric probability and integral geometry, and the more modern one of stochastic geometry, are developed here in a novel way to provide a framework in which they can be studied. The author focuses on factorization properties of measures and probabilities implied by the assumption of their invariance with respect to a group, in order to investigate nontrivial factors. The study of these properties is the central theme of the book. Basic facts about integral geometry and random point process theory are developed in a simple geometric way, so that the whole approach is suitable for a nonspecialist audience. Even in the later chapters, where the factorization principles are applied to geometrical processes, the only prerequisites are standard courses on probability and analysis. The main ideas presented have application to such areas as stereology and geometrical statistics and this book will be a useful reference book for university students studying probability theory and stochastic geometry, and research mathematicians interested in this area.

Stochastic geometry --- Factorization (Mathematics) --- Geometric probabilities --- 519.21 --- Geometry --- Probabilities --- Mathematics --- Probability theory. Stochastic processes --- Geometric probabilities. --- Stochastic geometry. --- Factorization (Mathematics). --- 519.21 Probability theory. Stochastic processes

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This work is about random measures stationary with respect to a possibly non-transitive group action. It contains chapters on Palm Theory, the Mass-Transport Principle and Ergodic Theory for such random measures. The thesis ends with discussions of several new models in Stochastic Geometry (Cox Delauney mosaics, isometry stationary random partitions on Riemannian manifolds). These make crucial use of the previously developed techniques and objects.

mass-transport principle --- Random measure --- ergodic theory --- Stochastic Geometry --- Palm theory

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Probability theory --- Stochastic analysis --- Analyse stochastique --- Davidson, Rollo, --- Davidson, Rollo --- 519.216 --- #WWIS:STAT --- Analysis, Stochastic --- Mathematical analysis --- Stochastic processes --- Stochastic processes in general. Prediction theory. Stopping times. Martingales --- Festschrift - Libri Amicorum --- Stochastic analysis. --- 519.216 Stochastic processes in general. Prediction theory. Stopping times. Martingales --- Stochastic geometry --- Géométrie stochastique. --- Processus stochastiques --- Probabilités. --- Probabilities --- Géométrie stochastique. --- Probabilités

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The Internet of Things (IoT) has attracted much attention from society, industry and academia as a promising technology that can enhance day to day activities, and the creation of new business models, products and services, and serve as a broad source of research topics and ideas. A future digital society is envisioned, composed of numerous wireless connected sensors and devices. Driven by huge demand, the massive IoT (mIoT) or massive machine type communication (mMTC) has been identified as one of the three main communication scenarios for 5G. In addition to connectivity, computing and storage and data management are also long-standing issues for low-cost devices and sensors. The book is a collection of outstanding technical research and industrial papers covering new research results, with a wide range of features within the 5G-and-beyond framework. It provides a range of discussions of the major research challenges and achievements within this topic.

fog computing --- heterogeneous networks --- distributed mechanism --- energy efficiency --- scheduling --- CSMA --- throughput --- grant-free --- D2D communication --- MAC --- Industrial Internet of Things --- estimation --- 5G --- survey --- liquid detection --- power control --- sensor --- SINR --- radio propagation --- MU association --- Raspberry Pi --- reliability --- latency --- deterministic --- Industry 4.0 --- stochastic geometry --- dielectric constant --- Cyber Physical System --- IoT --- successive interference cancellation --- URLLC --- end-to-end delay --- resource allocation --- polynomial interpolation --- industrial automation --- cloud computing --- mMTC --- smart factory --- deployment --- ultra-reliable and low-latency communications --- PHY --- aperiodic traffic --- NB-IoT --- irregular repetition slotted ALOHA --- edge computing --- time-critical --- eMBB --- medium access control --- M2M --- Internet of Things --- internet of things --- sensor network --- random access --- smart devices --- non-orthogonal multiple access --- USRP --- WCI --- narrowband --- congestion

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The book Green, Energy-Efficient and Sustainable Networks provides insights and solutions for a range of problems in the field of obtaining greener, energy-efficient, and sustainable networks. The book contains the outcomes of the Special Issue on “Green, Energy-Efficient and Sustainable Networks” of the Sensors journal. Seventeen high-quality papers published in the Special Issue have been collected and reproduced in this book, demonstrating significant achievements in the field. Among the published papers, one paper is an editorial and one is a review, while the remaining 15 works are research articles. The published papers are self-contained peer-reviewed scientific works that are authored by more than 75 different contributors with both academic and industry backgrounds. The editorial paper gives an introduction to the problem of information and communication technology (ICT) energy consumption and greenhouse gas emissions, presenting the state of the art and future trends in terms of improving the energy-efficiency of wireless networks and data centers, as the major energy consumers in the ICT sector. In addition, the published articles aim to improve energy efficiency in the fields of software-defined networking, Internet of things, machine learning, authentication, energy harvesting, wireless relay systems, routing metrics, wireless sensor networks, device-to-device communications, heterogeneous wireless networks, and image sensing. The last paper is a review that gives a detailed overview of energy-efficiency improvements and methods for the implementation of fifth-generation networks and beyond. This book can serve as a source of information in industrial, teaching, and/or research and development activities. The book is a valuable source of information, since it presents recent advances in different fields related to greening and improving the energy-efficiency and sustainability of those ICTs particularly addressed in this book

node speed --- linear recovery --- resource block allocation --- social awareness --- internet-of-things --- scheduling algorithm --- renewables --- neural network --- battery capacity --- energy awareness --- measurement structure --- optimization --- energy efficiency --- charging efficiency --- random structural matrices --- SDN --- water filling algorithm --- ONOS --- energy harvesting --- malware detection --- node density --- HetNets --- sustainability --- cooperative smart community --- adversarial samples --- spatial modulation --- NOMA --- 5G --- light-weight authentication --- green networking --- Device-to-Device (D2D) --- lightweight cipher --- mobile edge computing --- wireless power transfer --- adaptive link rate --- successive interference cancellation (SIC) --- directional charging vehicle --- self-interference cancellation --- proportional rate constraint --- inter-meeting time --- sustainable --- RWSN --- channel state information --- stochastic geometry --- networks --- green internet of things (IoT) --- PHY-layer --- IoT --- Markov chain --- traffic engineering --- QoS --- energy-efficient Ethernet --- power --- lightweight authentication --- energy aware routing --- authentication --- wired access --- amplify-and-forward --- software defined networking (SDN) --- image compressive sensing (CS) --- green --- edge computing --- LTE-A --- opportunistic networks --- RF Fingerprinting --- data centre --- multiple-input multiple-output --- Internet of Things --- machine learning --- peer discovery --- full-duplex --- industrial --- carbon footprint --- WSN --- imperfect CSI --- data center --- symbol error probability --- physical-layer authentication --- interference coordination --- clustering --- control and data plane --- wireless --- ICT --- bisection based optimal power allocation --- energy-efficiency --- consumer preferences --- real-time traffic