Table 3.

Number of authentications, relative limiting distribution difference , and benchmark relative difference (BRDs) of the states forming the optimal Variable State Resolution-Markov Chain; the absorbing states and their realization are shown in parentheses next to the name and realizations of their corresponding “less absorbing” countries

	# of Authentications		BRD
Mongolia	1	−Inf	−Inf
Turkey (Jordan, Armenia)	42064 (53, 5)	−11.69	−12.07
Georgia	16	−2.91	−1.72
Singapore	189	−2.51	−0.69
Syria	22	−2.41	−0.59
Europe	20621	−0.49	−1.87
Kazakhstan	114	−0.32	0.47
Pakistan (Kyrgyzstan, Turkmenistan, Uzbekistan)	1944 (1, 1, 5)	−0.32	−0.02
China	19923	−0.20	0.80
Sri Lanka	298	−0.07	0.42
North America	10991	−0.01	0.48
South America	24590	0.00	0.50
Asia 3	3606	0.25	0.51
India (Nepal, Maldives)	13669 (38, 29)	0.37	0.64
Russia	4475	0.42	0.59
Philippines	283	0.52	0.78
Bangladesh	282	0.53	0.51
Bhutan	279	0.53	−0.53
Africa	11756	0.56	0.58
Afghanistan	445	0.58	0.50
Asia 4	1815	0.65	0.73
Malaysia (Brunei)	1898 (16)	0.69	0.75
Indonesia	318	0.70	0.77
Palestinian Territories	113	0.71	0.28
Oceania	644	0.76	0.76
Israel	363	0.87	0.23
Asia 2	654	0.89	0.49
Lebanon	56	0.92	0.80
Azerbaijan	457	0.92	0.95
Iraq	32	0.98	0.91
Myanmar	92	0.99	0.98
Tajikistan	3	1.00	1.00