### Table 2. Behavior of the expansion of the prime 61 relative to di erent bases, compared with prime 31 ergodic to base 3.

"... In PAGE 11: ... Each line is a period, but it is not a minimal period except in the ergodic cases b = 2; 6; 7; 10 and 30. In the ergodic cases b = 2; 6; 10; 30 we see from Table2 that each single digit 0; 1; : : : ; b?1 occurs exactly the same number of times, that is, we have exact equidistribution of single digits. This follows from the equidistribution theorem and the (accidental) fact that bjp ? 1 for the cases chosen.... In PAGE 13: ...1=61 in Table2 , in fact, it is the binary expansion of 234=61 (mod 1) = 29=61. Irrespective of whether 61 is ergodic or not, all sequences in Table 2 ex- hibit certain intuitively acceptable features of randomness; of course, they also conform with our de nition of randomness.... In PAGE 13: ...1=61 in Table 2, in fact, it is the binary expansion of 234=61 (mod 1) = 29=61. Irrespective of whether 61 is ergodic or not, all sequences in Table2 ex- hibit certain intuitively acceptable features of randomness; of course, they also conform with our de nition of randomness. This new class of random sequences of digits has one immediate practical application: it enables precise statements to be made in a debate with the \fanatical school quot; of probability theory.... ..."

### Table 2: Comparing ergodic and non ergodic topologies for posterior estimation

2005

"... In PAGE 8: ... The same decoder was applied to the estimated posteriors in both cases. Table2 shows the results of the experiment. The system which uses phone gammas estimated through the non ergodic topology performs signi cantly better.... ..."

Cited by 2

### Table 7: Ergodic Moments of the Model Economy

"... In PAGE 22: ... Given that agents live only for two periods, the model apos;s cyclical behavior does not relate very closely standard notions of cyclical behavior in the data. Table7 shows the rst and second ergodic moments of the most relevant variables. Note that these are economy wide variables, and they are statistics computed from aggregate data, that include the behavior of all agents.... In PAGE 33: ... Note that the previously established continuity a.e. of the set of prices as a function of implies that it is enough that this condition holds for 0( apos;t), and 1( apos;t). 6 Table7 reports the average values for some of these key variables.... ..."

### Table 4: ergodic distribution normalized for each GDP class

2005

"... In PAGE 46: ...39 0.27 Table4 0: ergodic distribution normalized for each GDP class, PWT, 91 countries 1961-73, per worker GDP I II III IV 1961 0.18 0.... In PAGE 46: ...29 0.42 Table4 1: distribution dynamics, PWT, 91 countries, 1974-1997, per worker GDP SECOND PERIOD: 1974-1997 I- I+ I++ II- II+ II++ III- III+ III++ IV- IV+ IV++ ergodic 0.13 0.... In PAGE 46: ...07 0.11 Table4 2: ergodic distribution 1974-1997, PWT, 91 countries, relative per worker... In PAGE 47: ...28 0.44 Table4 3: ergodic distribution normalized for each GDP class, PWT, 91 countries 1974-97, relative per worker GDP I II III IV 1973 0.22 0.... ..."

### Table 2: Bounds on ergodic averages for the re ecting random walk

1999

"... In PAGE 13: ...12 Example 1: Re ecting Random Walk (ctd) We rst examine further the re ecting random walk given in Section 3, under the assumption that (V ) = 2. Table2 shows four sets of parameter values, and in the rst three cases the bounds are ordered with (39) better than (38) better than (32). In the last case (32) is better than (38), but again (39) represents a very substantial improvement.... ..."

Cited by 49

### Table 2. Comparison of Ergodic Sampling Methods for PJ H11005 3%.

### Table 24: ergodic distribution 1950-1973, GDP relative to the US

2005

### Table 27: ergodic distribution 1974-1997, relative to US GDP

2005