Statistics of large-scale structure from the transition probability of Lagrangian trajectories

arXiv:2609.30251 · astro-ph.CO, cond-mat.stat-mech · Submitted 2026-09-24 · Read on arXiv

astro-ph.CO, cond-mat.stat-mech

Submitted: 2026-09-24

Updated: 2026-09-24

Comments: 8+2 pages, 5 figures

Code: https://github.com/lhd23/trans_prob

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Clustering — 3× in this paper · explained in 2 episodes
• Homogeneity — 3× in this paper · explained in 2 episodes
• Consistency — 2× in this paper · explained in 3 episodes
• Generalization — 2× in this paper · explained in 13 episodes
• Self-consistency — 2× in this paper · explained in 2 episodes
• Initial Data — 1× in this paper · explained in 2 episodes
• Matter Power Spectrum — 1× in this paper · explained in 2 episodes
• N-body simulations — 1× in this paper · explained in 2 episodes
• Trace — 1× in this paper · explained in 2 episodes

Sources

• Gravitational redshift from large-scale structure: nonlinearities, antisymmetries, and the dipole
• Modeling scale-dependent bias on the baryonic acoustic scale with the statistics of peaks of Gaussian random fields
• Nonlinear Cosmological Power Spectra in Real and Redshift--Space
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• The Gaussian streaming model and Lagrangian effective field theory
• Consistent Modeling of Velocity Statistics and Redshift-Space Distortions in One-Loop Perturbation Theory
• Convolution Lagrangian perturbation theory for biased tracers
• The Zeldovich approximation
• A microscopic, non-equilibrium, statistical field theory for cosmic structure formation
• Cosmic Structure Formation with Kinetic Field Theory
• Dynamics of pairwise motions
• `Eppur Si Muove': On The Motion of the Acoustic Peak in the Correlation Function
• The IR-resummed Effective Field Theory of Large Scale Structures
• Equivalence Principle and the Baryon Acoustic Peak
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• Dark Matter Caustics
• Tracing the Dark Matter Sheet in Phase Space
• The Cosmic Web, Multi-Stream Flows, and Tessellations
• Generation of Vorticity and Velocity Dispersion by Orbit Crossing
• Perturbation theory with dispersion and higher cumulants: framework and linear theory

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