=== p=3.0, hubs |k|<=60, seed=1
  five smallest |K_k|: k=9:0.0243, k=-11:0.1385, k=2:0.3589, k=1:0.5191, k=4:0.5297
  Dobrushin wall position argmin_{|k|<=R}|K_k| changes at R = R=0->k=0 (|K|=0.5932); R=1->k=1 (|K|=0.5191); R=2->k=2 (|K|=0.3589); R=9->k=9 (|K|=0.0243)
  #{k: |K_k|<0.1} per dyadic shell of |k|: [2,4):obs 0/exp 0.12  [4,8):obs 0/exp 0.10  [8,16):obs 1/exp 0.08  [16,32):obs 0/exp 0.06  [32,64):obs 0/exp 0.04
  min |K_k| over |k|>=10: 0.1385   (sd of K at |k|=10: 14.89)
  min |K_k| over |k|>=20: 0.9472   (sd of K at |k|=20: 39.29)
  min |K_k| over |k|>=40: 6.7839   (sd of K at |k|=40: 107.18)
=== p=3.0, hubs |k|<=60, seed=2
  five smallest |K_k|: k=-2:0.0049, k=4:0.2292, k=0:0.2634, k=1:0.3842, k=2:0.4206
  Dobrushin wall position argmin_{|k|<=R}|K_k| changes at R = R=0->k=0 (|K|=0.2634); R=2->k=-2 (|K|=0.0049)
  #{k: |K_k|<0.1} per dyadic shell of |k|: [2,4):obs 1/exp 0.12  [4,8):obs 0/exp 0.10  [8,16):obs 0/exp 0.08  [16,32):obs 0/exp 0.06  [32,64):obs 0/exp 0.04
  min |K_k| over |k|>=10: 1.7043   (sd of K at |k|=10: 14.89)
  min |K_k| over |k|>=20: 4.1471   (sd of K at |k|=20: 39.29)
  min |K_k| over |k|>=40: 9.3092   (sd of K at |k|=40: 107.18)
=== p=3.0, hubs |k|<=60, seed=3
  five smallest |K_k|: k=10:0.0840, k=1:0.1829, k=-1:0.1913, k=-10:0.3060, k=7:0.4387
  Dobrushin wall position argmin_{|k|<=R}|K_k| changes at R = R=0->k=0 (|K|=0.8896); R=1->k=1 (|K|=0.1829); R=10->k=10 (|K|=0.0840)
  #{k: |K_k|<0.1} per dyadic shell of |k|: [2,4):obs 0/exp 0.12  [4,8):obs 0/exp 0.10  [8,16):obs 1/exp 0.08  [16,32):obs 0/exp 0.06  [32,64):obs 0/exp 0.04
  min |K_k| over |k|>=10: 0.0840   (sd of K at |k|=10: 14.89)
  min |K_k| over |k|>=20: 2.3679   (sd of K at |k|=20: 39.29)
  min |K_k| over |k|>=40: 12.2625   (sd of K at |k|=40: 107.18)
=== p=2.0, hubs |k|<=300, seed=1
  five smallest |K_k|: k=225:0.0179, k=-44:0.0911, k=-1:0.1626, k=-160:0.1645, k=-15:0.2005
  Dobrushin wall position argmin_{|k|<=R}|K_k| changes at R = R=0->k=0 (|K|=0.2611); R=1->k=-1 (|K|=0.1626); R=44->k=-44 (|K|=0.0911); R=225->k=225 (|K|=0.0179)
  #{k: |K_k|<0.1} per dyadic shell of |k|: [2,4):obs 0/exp 0.23  [4,8):obs 0/exp 0.25  [8,16):obs 0/exp 0.26  [16,32):obs 0/exp 0.26  [32,64):obs 1/exp 0.27  [64,128):obs 0/exp 0.27  [128,256):obs 1/exp 0.27  [256,512):obs 0/exp 0.06
  min |K_k| over |k|>=10: 0.0179   (sd of K at |k|=10: 4.49)
  min |K_k| over |k|>=20: 0.0179   (sd of K at |k|=20: 8.57)
  min |K_k| over |k|>=40: 0.0179   (sd of K at |k|=40: 16.74)
  min |K_k| over |k|>=100: 0.0179   (sd of K at |k|=100: 41.23)
=== p=1.5, hubs |k|<=1000, seed=1
  five smallest |K_k|: k=0:0.0067, k=-10:0.0253, k=10:0.0301, k=-53:0.0308, k=605:0.0373
  Dobrushin wall position argmin_{|k|<=R}|K_k| changes at R = R=0->k=0 (|K|=0.0067)
  #{k: |K_k|<0.1} per dyadic shell of |k|: [2,4):obs 1/exp 0.30  [4,8):obs 0/exp 0.38  [8,16):obs 2/exp 0.48  [16,32):obs 0/exp 0.58  [32,64):obs 1/exp 0.70  [64,128):obs 0/exp 0.83  [128,256):obs 0/exp 0.99  [256,512):obs 0/exp 1.18  [512,1024):obs 3/exp 1.36
  min |K_k| over |k|>=10: 0.0253   (sd of K at |k|=10: 2.48)
  min |K_k| over |k|>=20: 0.0308   (sd of K at |k|=20: 4.02)
  min |K_k| over |k|>=40: 0.0308   (sd of K at |k|=40: 6.62)
  min |K_k| over |k|>=100: 0.0373   (sd of K at |k|=100: 13.01)
  min |K_k| over |k|>=300: 0.0373   (sd of K at |k|=300: 29.50)
=== p=1.5, hubs |k|<=1000, seed=2
  five smallest |K_k|: k=-6:0.0435, k=-438:0.0529, k=33:0.0538, k=30:0.0565, k=296:0.0639
  Dobrushin wall position argmin_{|k|<=R}|K_k| changes at R = R=0->k=0 (|K|=0.6567); R=1->k=1 (|K|=0.5194); R=2->k=2 (|K|=0.4189); R=6->k=-6 (|K|=0.0435)
  #{k: |K_k|<0.1} per dyadic shell of |k|: [2,4):obs 0/exp 0.30  [4,8):obs 1/exp 0.38  [8,16):obs 0/exp 0.48  [16,32):obs 1/exp 0.58  [32,64):obs 1/exp 0.70  [64,128):obs 1/exp 0.83  [128,256):obs 2/exp 0.99  [256,512):obs 2/exp 1.18  [512,1024):obs 0/exp 1.36
  min |K_k| over |k|>=10: 0.0529   (sd of K at |k|=10: 2.48)
  min |K_k| over |k|>=20: 0.0529   (sd of K at |k|=20: 4.02)
  min |K_k| over |k|>=40: 0.0529   (sd of K at |k|=40: 6.62)
  min |K_k| over |k|>=100: 0.0529   (sd of K at |k|=100: 13.01)
  min |K_k| over |k|>=300: 0.0529   (sd of K at |k|=300: 29.50)
