diff 72e56a3..763cb89 hard_sphere_boltzmann_fluctuations_v2.txt
diff --git a/hard_sphere_boltzmann_fluctuations_v2.txt b/hard_sphere_boltzmann_fluctuations_v2.txt index 59af6df..57fae9c 100644 --- a/hard_sphere_boltzmann_fluctuations_v2.txt +++ b/hard_sphere_boltzmann_fluctuations_v2.txt @@ -46,13 +46,13 @@ Boltzmann lifespan on all of space. The new step is to carry the fluctuation theorem to that same lifespan, on all of space, away from equilibrium. -./dhm-2025-2408.07818.pdf -./bgss-2008.10403.pdf -./bgss-2201.04514.pdf -./bgss-2004.00311.pdf -./bgss-2205.04110.pdf -./bgss-2012.03813.pdf -./pulvirenti-simonella-2017-1405.4676-correlation-error.pdf +./pdf/dhm-2025-2408.07818.pdf +./pdf/bgss-2008.10403.pdf +./pdf/bgss-2201.04514.pdf +./pdf/bgss-2004.00311.pdf +./pdf/bgss-2205.04110.pdf +./pdf/bgss-2012.03813.pdf +./pdf/pulvirenti-simonella-2017-1405.4676-correlation-error.pdf Two new difficulties. First, size: the $h$-th factorial cumulant, the connected $h$-point correlation, must be pinned at the sharp scale @@ -383,7 +383,7 @@ Penrose's scheme, with this precise tree bound, is reproduced in Bodineau--Gallagher--Saint-Raymond--Simonella 2022, Proposition 2.3.3; the original is O. Penrose, Convergence of fugacity expansions for classical systems, in Statistical Mechanics (Benjamin, 1967). -./bgss-2205.04110.pdf +./pdf/bgss-2205.04110.pdf Integrating a tree from its leaves, keeping one free vertex, gives