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BL
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| Record Number
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777201
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b597203
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| Main Entry
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Masato Shirasaki.
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| Title & Author
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Probing Cosmic Dark Matter and Dark Energy with Weak Gravitational Lensing Statistics\ Masato Shirasaki.
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| Publication Statement
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Singapore : Springer, [, 2016] ©2016
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| Series Statement
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Springer theses.
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| Page. NO
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(xi, 136 pages) : illustrations (chiefly color)
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| ISBN
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9789812877956
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: 9789812877963
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: 9812877959
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: 9812877967
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| Notes
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Doctoral Thesis accepted by The University of Tokyo, Tokyo, Japan.
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| Contents
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1. INTRODUCTION TO OBSERVATIONAL COSMOLOGY. 1.1. Cosmic Acceleration. 1.1.1. Type Ia Supernovae. 1.1.2. Baryon Acoustic Oscillations. 1.2. Astrophysical Evidence of Dark Matter. 1.2.1. Rotation Curves of Galaxies. 1.2.2. Mass Estimate of Clusters of Galaxies. 1.2.3. Global Energy Budget of Universe. 1.3. Cosmology with Gravitational Lensing. 1.4. Objective of This Thesis. 2. STRUCTURE FORMATION IN THE UNIVERSE. 2.1. The Standard Cosmological Model. 2.1.1. Friedmann Equation. 2.1.2. Cosmological Redshift and Angular-Diameter Distance. 2.2. Growth of Matter Density. 2.2.1. Evolution of Density Fluctuations. 2.2.2. Linear Perturbation. 2.2.3. Non-linear Perturbation. 2.3. Statistics of Matter Density Perturbation. 2.3.1. Two Point Statistics. 2.3.2. Mass Function and Halo Bias. 3. WEAK GRAVITATIONAL LENSING. 3.1. Basic Equation. 3.2. Observable. 3.3. Statistics. 3.3.1. Two Point Correlation Function. 3.3.2. Lensing Mass Reconstruction. 3.3.3. Minkowski Functionals. 3.4. Numerical Simulation of Weak Lensing. 4. WEAK LENSING MORPHOLOGICAL ANALYSIS. 4.1. Impact of Masked Region. 4.1.1. Estimation of Lensing MFs from Cosmic Shear Data. 4.1.2. Data. 4.1.3. Bias Due to Masking Effect. 4.1.4. Impact of Masking on Cosmological Parameter Estimation. 4.1.5. Application to Subaru Suprime-Cam Data. 4.2. Statistical and Systematic Error of Minkowski Functionals. 4.2.1. Mock Weak Lensing Catalogs. 4.2.2. Realistic Forecast of Cosmological Constraints. 4.2.3. Possible Systematics. 4.3. Application to CFHTLenS. 4.3.1. Data Sets. 4.3.2. Likelihood Analysis of Lensing MFs. 4.3.3. Breaking Degeneracies. 5. CROSS CORRELATION WITH DARK MATTER ANNIHILATION SOURCES. 5.1. Dark Matter Annihilation. 5.1.1. Relic Density. 5.1.2. Gamma-Ray Intensity. 5.2. Extragalactic Gamma-Ray Background. 5.2.1. Data. 5.3. Cross Correlation of Extragalactic Gamma-Ray Background and Cosmic Shear. 5.3.1. Theoretical Model. 5.3.2. Cross-Correlation Estimator and Covariance. 5.4. Application to Real Data Sets. 5.4.1. Analysis. 5.4.2. Result. 5.5. Constraint and Forecast. 5.5.1. DM Annihilation Constraint. 5.5.2. Future Forecast. 6. SUMMARY AND CONCLUSION. 6.1. Lensing Minkowski Functionals. 6.1.1. Subaru Suprime-Cam. 6.1.2. Canada-France-Hawaii Telescope Lensing Survey. 6.1.3. Future Work. 6.2. Cross-Correlation Analysis of Cosmic Shear and Extragalactic Gamma-Ray Background. 6.2.1. Future Work. Appendix A. Effect of Masks on Variance of Smoothed Convergence Field --; Appendix B. Effect of Source Redshift Clustering on Variance of Smoothed Convergence Field --; Appendix C. Estimating the Minkowski Functionals Covariance Matrix --; Appendix D. Effect of Dark Matter Halo Profile Uncertainties on Cross-Correlation Signals --; Curriculum Vitae.
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| Abstract
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In this book the applicability and the utility of two statistical approaches for understanding dark energy and dark matter with gravitational lensing measurement are introduced. For cosmological constraints on the nature of dark energy, morphological statistics called Minkowski functionals (MFs) to extract the non-Gaussian information of gravitational lensing are studied. Measuring lensing MFs from the Canada-France-Hawaii Telescope Lensing survey (CFHTLenS), the author clearly shows that MFs can be powerful statistics beyond the conventional approach with the two-point correlation function. Combined with the two-point correlation function, MFs can constrain the equation of state of dark energy with a precision level of approximately 3-4 % in upcoming surveys with sky coverage of 20,000 square degrees. On the topic of dark matter, the author studied the cross-correlation of gravitational lensing and the extragalactic gamma-ray background (EGB). Dark matter annihilation is among the potential contributors to the EGB. The cross-correlation is a powerful probe of signatures of dark matter annihilation, because both cosmic shear and gamma-ray emission originate directly from the same dark matter distribution in the universe. The first measurement of the cross-correlation using a real data set obtained from CFHTLenS and the Fermi Large Area Telescope was performed. Comparing the result with theoretical predictions, an independent constraint was placed on dark matter annihilation. Future lensing surveys will be useful to constrain on the canonical value of annihilation cross section for a wide range of mass of dark matter annihilation. Future lensing surveys will be useful to constrain on the canonical value of annihilation cross section for a wide range of mass of dark matter.--Publisher's description.
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| Subject
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Dark energy (Astronomy) -- Statistical methods.
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| Subject
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Dark matter (Astronomy) -- Statistical methods.
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| Subject
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Gravitational lenses -- Observations.
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| LC Classification
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QB791.3M373 9999
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| Added Entry
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Masato Shirasaki
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