My study

• Statistical Mechanics of Self-Gravitating System
  • Cluster Expansion Method [1]
    
  • Fractal structure in 1-D model (with cosmic expansion) [2]
    
  • 3-dimensional gravity constrained on 1-dimensional ring model [3, 11]
    In paper 11, we propose new iterative method which can derive distribution function in equilibrium state quickly. Maybe we can apply this method for (d-dimensional) generic systems.
  • Non-Gaussian Velocity Distribution in the Self-Gravitating Systems [8]
    
  • Quasi-equilibrium state in 3-D system [23, 24]
    
• Lagrangian approximation in structure formation scenario
  • Review article [9]
    
  • Lagrangian approximation in structure formation (dust fluid)
    
    • fourth-order perturbation [24]
  • Lagrangian approximation in structure formation (effect of pressure)
    
    • second-order in E-dS Universe model [4]
    • second-order in generic FRW models [5]
    • third-order (longitudinal mode only) [10]
    • third-order (longitudinal and transverse modes) [13]
    • Comparison between N-body simulation and this model [6]
    • Comparison between the adhesion model and this model [7, 14]
    • Non-Gaussianity in density and velocity field [12]
  • Improvement for dust model [16]
• Dark energy models
  • Non-Gaussianity [15, 17]
  • Bose-Einstein condensation [18]
• Initial condition problem for cosmic N-body simulation [19, 25]
• Modified gravity (f(R) gravity)
  • microlensing [20]
  • Non-Gaussianity [21]

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