diff 3ff9228..b34550f log_sobolev_subgaussian_v2.txt
diff --git a/log_sobolev_subgaussian_v2.txt b/log_sobolev_subgaussian_v2.txt
index 7ff55ab..848c2d9 100644
--- a/log_sobolev_subgaussian_v2.txt
+++ b/log_sobolev_subgaussian_v2.txt
@@ -2925,9 +2925,9 @@ The output truncation costs
So replacing H_i by P H_i P has total right-R squared cost o(1). The
new column obeys sum_i (P H_i P)^2 <= P S P <= 4 P.
-Perturbation accounting. Suppose symmetric \tilde H_i have
+Perturbation accounting. Suppose symmetric Htilde_i have
- Delta := sum_i E ||(\tilde H_i - H_i) R||_HS^2 = o(1). (9.57)
+ Delta := sum_i E ||(Htilde_i - H_i) R||_HS^2 = o(1). (9.57)
Then symmetry gives the same bound with R on the left. Each derivative
error in (9.22) changes in norm by at most sqrt(Delta), and the summed
@@ -2935,7 +2935,7 @@ commutator norm changes by at most 2 sqrt(Delta). The two balance
errors change in expected trace norm by at most
( (sum_i E ||H_i R||_HS^2)^{1/2}
- + (sum_i E ||\tilde H_i R||_HS^2)^{1/2} ) sqrt(Delta),
+ + (sum_i E ||Htilde_i R||_HS^2)^{1/2} ) sqrt(Delta),
by (9.48), which is o(1). The new summed energy is bounded by the old
plus the perturbation in norm. These statements apply to the