2,247 research outputs found

    (2+1) gravity for higher genus in the polygon model

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    We construct explicitly a (12g-12)-dimensional space P of unconstrained and independent initial data for 't Hooft's polygon model of (2+1) gravity for vacuum spacetimes with compact genus-g spacelike slices, for any g >= 2. Our method relies on interpreting the boost parameters of the gluing data between flat Minkowskian patches as the lengths of certain geodesic curves of an associated smooth Riemann surface of the same genus. The appearance of an initial big-bang or a final big-crunch singularity (but never both) is verified for all configurations. Points in P correspond to spacetimes which admit a one-polygon tessellation, and we conjecture that P is already the complete physical phase space of the polygon model. Our results open the way for numerical investigations of pure (2+1) gravity.Comment: 35 pages, 22 figure

    Mining large-scale human mobility data for long-term crime prediction

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    Traditional crime prediction models based on census data are limited, as they fail to capture the complexity and dynamics of human activity. With the rise of ubiquitous computing, there is the opportunity to improve such models with data that make for better proxies of human presence in cities. In this paper, we leverage large human mobility data to craft an extensive set of features for crime prediction, as informed by theories in criminology and urban studies. We employ averaging and boosting ensemble techniques from machine learning, to investigate their power in predicting yearly counts for different types of crimes occurring in New York City at census tract level. Our study shows that spatial and spatio-temporal features derived from Foursquare venues and checkins, subway rides, and taxi rides, improve the baseline models relying on census and POI data. The proposed models achieve absolute R^2 metrics of up to 65% (on a geographical out-of-sample test set) and up to 89% (on a temporal out-of-sample test set). This proves that, next to the residential population of an area, the ambient population there is strongly predictive of the area's crime levels. We deep-dive into the main crime categories, and find that the predictive gain of the human dynamics features varies across crime types: such features bring the biggest boost in case of grand larcenies, whereas assaults are already well predicted by the census features. Furthermore, we identify and discuss top predictive features for the main crime categories. These results offer valuable insights for those responsible for urban policy or law enforcement

    Braiding and entanglement in spin networks: a combinatorial approach to topological phases

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    The spin network quantum simulator relies on the su(2) representation ring (or its q-deformed counterpart at q= root of unity) and its basic features naturally include (multipartite) entanglement and braiding. In particular, q-deformed spin network automata are able to perform efficiently approximate calculations of topological invarians of knots and 3-manifolds. The same algebraic background is shared by 2D lattice models supporting topological phases of matter that have recently gained much interest in condensed matter physics. These developments are motivated by the possibility to store quantum information fault-tolerantly in a physical system supporting fractional statistics since a part of the associated Hilbert space is insensitive to local perturbations. Most of currently addressed approaches are framed within a 'double' quantum Chern-Simons field theory, whose quantum amplitudes represent evolution histories of local lattice degrees of freedom. We propose here a novel combinatorial approach based on `state sum' models of the Turaev-Viro type associated with SU(2)_q-colored triangulations of the ambient 3-manifolds. We argue that boundary 2D lattice models (as well as observables in the form of colored graphs satisfying braiding relations) could be consistently addressed. This is supported by the proof that the Hamiltonian of the Levin-Wen condensed string net model in a surface Sigma coincides with the corresponding Turaev-Viro amplitude on Sigma x [0,1] presented in the last section.Comment: Contributed to Quantum 2008: IV workshop ad memoriam of Carlo Novero 19-23 May 2008 - Turin, Ital

    Community Based Early Childhood Education Management

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    This study aims to find theories about community-based Kindergarten educational institutions management. Data were collected objectively, not influenced by observers' wishes, using questionnaires, interviews, observation sheets, and interview guides. Data validation used data triangulation method between researchers, practitioners, namely the headmasters, teachers, school committees, parents of students, and community leaders involved in Kindergarten in Kebumen Regency. Pragmatically, this study found a theory about the functions and implementation of Kindergarten that are managed professionally with support and community participation. The organization of Kindergarten educational institution organizers carried out based on the job description, the meaning is between schools, communities, and parents have their roles, functions and responsibilities based on a joint decision with increasing the growth and development of Kindergarten (Raudhlatul Athfal) professionally and competitive. Educational institution development program of Kindergarten starts with the community's idea, carried out by teacher under community supervision, and the community evaluates the results. The community functions as the facilitator of building's physical development program, completeness of facilities and other infrastructure as well as the quality development program for Kindergarten educational institution professionally.Penelitian ini bertujuan untuk menemukan teori tentang manajemen lembaga pendidikan TK berbasis masyarakat. Data dikumpulkan secara obyektif, tidak dipengaruhi oleh keinginan pengamat, menggunakan kuesioner, wawancara, lembar observasi, dan panduan wawancara. Validasi data menggunakan metode triangulasi data antara peneliti, praktisi, yaitu kepala sekolah, guru, komite sekolah, orang tua siswa, dan tokoh masyarakat yang terlibat di Taman Kanak-kanak di Kabupaten Kebumen. Secara pragmatis, penelitian ini menemukan teori tentang fungsi dan implementasi TK yang dikelola secara profesional dengan dukungan dan partisipasi masyarakat. Organisasi penyelenggara lembaga pendidikan TK dilaksanakan berdasarkan uraian tugas, artinya antara sekolah, masyarakat, dan orang tua memiliki peran, fungsi dan tanggung jawab mereka sendiri berdasarkan keputusan bersama dengan meningkatkan pertumbuhan dan perkembangan Taman Kanak-Kanak (Raudhlatul Athfal) secara profesional dan kompetitif . Program pengembangan lembaga pendidikan TK dimulai dengan gagasan masyarakat, dilaksanakan oleh guru di bawah pengawasan masyarakat, dan hasilnya dievaluasi oleh masyarakat. Komunitas ini berfungsi sebagai fasilitator program pembangunan fisik bangunan, kelengkapan fasilitas dan infrastruktur lainnya, serta program pengembangan kualitas untuk lembaga pendidikan TK secara profesional
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