PreprintarXiv licencearXiv
Statistics of large-scale structure from the transition probability of Lagrangian trajectories
Abstract
We describe a probabilistic approach to gravitational clustering. Working purely in configuration space, we show that the two-point function can be formulated in terms of a transition probability describing the likely final position of a particle given its initial position. The transition probability is initially sharply peaked and then over time broadens out in a diffusion-like manner. The effect is more pronounced for widely-separated particles (e.g.\ at the baryon acoustic scale), leading to an effective suppression of the two-point function in what is normally referred to as infrared resummation.
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BibTeX
@misc{dam2026statistics,
title = {{Statistics of large-scale structure from the transition probability of Lagrangian trajectories}},
author = {Lawrence Dam},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.30251},
eprint = {2609.30251},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.30251},
}
RIS
TY - UNPB
TI - Statistics of large-scale structure from the transition probability of Lagrangian trajectories
AU - Lawrence Dam
PY - 2026
DA - 2026/09/24
PB - arXiv
DO - 10.48550/arxiv.2609.30251
UR - https://arxiv.org/abs/2609.30251
AB - We describe a probabilistic approach to gravitational clustering. Working purely in configuration space, we show that the two-point function can be formulated in terms of a transition probability describing the likely final position of a particle given its initial position. The transition probability is initially sharply peaked and then over time broadens out in a diffusion-like manner. The effect is more pronounced for widely-separated particles (e.g.\ at the baryon acoustic scale), leading to an effective suppression of the two-point function in what is normally referred to as infrared resummation.
ER -