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                    | Kitchens B.P. — Symbolic dynamics: one-sided, two-sided and countable state markov shifts. |  
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                    | Предметный указатель |  
                    | |  -block presentation      27 Adler, R.      1 4 5 6 7
 Alphabet      21
 Amalgamation      34 35
 Amalgamation, column      73
 Amalgamation, elementary      67
 Amalgamation, row      73
 Amalgamation, total      73
 Amalgamation, total column      35
 Amalgamation, total one-step amalgamation      67
 Amalgamation, total row amalgamation      42
 Artin, M.      1
 Ashley, J.      2 3 4 5
 Automorphism      63
 Automorphism group      64
 Away from zero, characteristic polynomial      25 108 109
 Away from zero, core matrix      153
 Away from zero, Jordan form      48 49 107 155
 Baker, K.      2
 Ballot Theorem      215 225 239
 Berg, K.      1 5
 Blanchard, P.      3
 Block assignments      123 126 128
 Block of symbols      21
 Borel
  -algebra      159 Bowen — Franks groups      51 109
 Bowen, R.      1 2 7
 Boyle, M.      3 4 6
 Cantor set      2 4
 Capacity of a channel      30 189
 Caratheodory extension theorem      161
 Cellular automation      181
 Cellular automation, reversible cellular automaton      182
 Channel code      182
 Characteristic polynomial away from zero      25 108 109
 Coding, channel code      182
 Coding, data string      184
 Coding, decoder      187
 Coding, encoder      183 187
 Coding, encoder, coding theorem      189
 Coding, rate      184
 Compact-open topology      65
 Compactification      229
 Conjugacy, almost-topological      139 142
 Conjugacy, self      66
 Conjugacy, topological      33 54 232
 Conjugacy, weak      110
 Constrained string      184
 Coppersmith, D.      6
 Core Lattice Construction      153
 Coven, E.      3 4 6
 Cuntz, J.      2
 Curtis, M.      1 3
 Cylinder set      2 22
 Decidable problem      44
 Descending chain of subgroups      179
 Devaney, R.      3
 diamond      98 156
 Dimension group      56 57 90 109
 Direct limit      55
 Direct sum      55
 Distinguished coordinate      102
 Edge coloring      105
 Edge labelling      95
 Eigenvector, approximate      184
 Eigenvector, Perron      17 204
 Embedding      95
 Embedding, embedded subshift      120
 Entropy of Markov measure      165
 Entropy of partition      164
 Entropy, absolute      30
 Entropy, block      233
 Entropy, capacity      189
 Entropy, conditional      171
 Entropy, Gurevich      232
 Entropy, loop      232
 Entropy, measure-theoretic      164
 Entropy, Salama      233
 Entropy, topological      23 98—99 120 140 142 151 165—166 174 182 228 230
 Erdos, P.      7
 Eventual image      48 53 182
 Eventual kernel      48 53
 Expected return time      198 205
 Extension construction      116
 Factor, of subshift of finite type      148
 Factor, unequal entropy      126
 Fatou's lemma      222 226
 Fatou, P,      1
 Feller, W.      7
 Fibered product      138
 Fiebig, D.      7
 Fiebig,U.      7
 Filler blocks      125 130
 Finite approximation      221
 Finite Approximation Theorem      199
 Finite equivalence      139 140
 Finite order      72 74 91
 Finite state automaton      183 188
 Finite subgroup      91
 Finitely presented dynamical systems      188
 First return map      70
 Fischer cover      151 153 188
 Fischer, R.      6
 Follower set, of a symbol      34 105 178
 Follower set, of a word      148
 Forwardly expansive      182
 Franaszek, P.      6
 Franks, J.      2 3
 Fried, D.      1 6
 Friedman, J.      4
 Full cover      149
 Full shift      2 104
 Full shift on countably many symbols      226
 Furstenberg, H.      5
 Generalized Perron — Frobenius Theorem      199
 Generating functions      197
 GL (n, Z)      58
 Goodwyn, L.W.      4 5
 Graph, automorphism      70 78
 Graph, homomorphism      68
 Graph, Shannon      188
 Graph, strongly connected      3 16
 Graph, transition      3
 Group, center      87 91
 Group, character      55
 Group, combinatorial group theory      75
 Group, composition factors      80 81
 Group, composition series      80
 Group, coset      178
 Group, cyclic      76 91
 Group, divisible      74
 Group, duality      55 111
 Group, extension      79
 Group, factor groups      80
 Group, finite      64 84
 Group, finitely presented group      75
 Group, free      75 91
 Group, free product      91
 Group, inverse limit      90
 Group, Jordan — Holder Theorem      80
 Group, normal series      79
 Group, normal subgroup      178
 Group, residually finite      65 91
 Group, semi-direct product      80
 Group, simple      74
 Group, wreath product      80
 Gurevich, B.M.      7
 Gyration number      89
 Hadamard, J.      1
 Halmos, P.      6
 
 | Hassner, M.      6 Hedlund, G. A.      1 3 4
 Higher block presentations      27
 Hofbauer, F.      7
 Horseshoe map      9
 Information theory      165
 Intrinsically ergodic      190
 Inverse limit      53 109
 Jordan form away from zero      48 49 107 155
 Julia set      29
 Julia, G.      1
 Keen, L.      3
 Kim, K.H.      2 3
 Kitchens, B.      2 3 4 6
 Koellmer      2
 Kolmogorov, A.      1 5 6 7
 Konheim, A.      1 7
 Krieger cover      158
 Krieger, W.      2 3 4 6
 Landford, O.      1
 Lattice Construction      106 156
 Limit set      135
 Lind, D.      1 3
 Locally compact      227
 Locally finite      227
 Lyndon, R.      1 3
 Machines      182
 Magic symbol      113
 Magic word      102
 Magnetic disks and tape      182
 Manning, A.      6
 Mapping, block      25 26 232
 Mapping, closing      114 120
 Mapping, coding      182
 Mapping, compatible      69
 Mapping, constant-to-one      115
 Mapping, degree      151
 Mapping, exactly d-to-one      115
 Mapping, factor      95 232
 Mapping, finite-to-one      99 101
 Mapping, indecomposable      118 120
 Mapping, induced      113
 Mapping, infinite-to-one      99 126
 Mapping, one-to-one almost everywhere      103
 Mapping, open      120
 Mapping, permutive      64
 Mapping, resolving      97 114 131 137 141 150 183
 Mapping, unifiler      131
 Mapping, word problem      75 91
 Marcus, B.      4 5 6
 markers      65 85 234 120 126
 Marking a point      122 128
 Markov approximation      164 234
 Markov condition      5 6 7 12
 Markov magic word      150
 Markov partition      5 7 29
 Markov property      8
 Markov shift, countable state      226
 Markov shift, cyclic subsets      223
 Markov shift, cyclic subsets of indices      18
 Markov shift, irreducible      22 227
 Markov shift, mixing      182
 Markov shift, nonwandering      22 137
 Markov shift, period      100 142—143
 Markov shift, reducible      136
 Markov shift, topologically mixing      226
 Markov shift, topologically transitive      226
 Markov shift, transitive      22
 Markov subgroup      177
 Markov subgroup, classification      178
 Markov subgroup, conjugacy      178
 Markov subgroup, isomorphism      178
 Markov subgroup, one-step      180
 Markov weight set      168
 Matrix, aperiodic      17 196
 Matrix, compatible      162
 Matrix, core matrix      154 189
 Matrix, countable      195
 Matrix, elementary divisors      52
 Matrix, irreducible      3 16 196
 Matrix, irreducible components      20 136
 Matrix, maximal irreducible component      20 136
 Matrix, null recurrent      197
 Matrix, period      16 196 22
 Matrix, positive recurrent      197
 Matrix, principal submatrix      107
 Matrix, probabilisticly transitive      198
 Matrix, recurrent      197
 Matrix, spectral radius      20
 Matrix, stochastic      159 198
 Matrix, subdivision      67
 Matrix, transient      197
 Matrix, transient state      20
 Matrix, transition      4 36
 Mazur, B.      1
 McAndrew, M.      1 7
 McMillan, B.      4
 Mean recurrence measure      205
 Mean recurrence weight      205
 Measure, Borel probability      159
 Measure, ergodic      162
 Measure, Markov      161 234
 Measure, maximal      166 174 188 234
 Measure, mixing      162
 Measure, n-step Markov      163 173
 Measure, one-step Markov measure      161
 Measure, support      161 234 237
 Metric      2
 Metric, compatible      228
 Metric, complete      233
 Metric, totally bounded      230
 Metric, uniformly equivalent      229
 Mixing      182
 Morse, M.      1
 Name of point      5
 Nasu, M.      4 6
 Natural extension      53
 Noiseless coding theorem      189
 Nonwandering set      29
 O'Brien, G.L.      4
 One-sided, automorphism group      91
 One-sided, one-sided embedding      126
 One-sided, one-sided full shift      2
 One-sided, one-sided subshift of finite type      3
 One-sided, one-sided topological Markov shift      3
 Optical data storage disk      182
 Ornstein, D.      5
 P-name      5
 Parry, W.      1 2 5 6
 Paul, M.      4 6
 Perron eigenvalue      17 19 140 223 230
 Perron — Frobenius theorem      17 18
 Petersen, K.      7
 Points, asymptotic      114 113
 Points, doubly transitive      3 22 101
 Points, eventually periodic      2
 Points, mutually separated      11 115
 Points, nonwandering      22 135 182
 Points, periodic      2 120 182
 Points, preperiodic      2
 Points, totally separated      115
 Points, transitive      3 22 135
 Points, wandering      135
 Pollard, H.      7
 Predecessor set of a symbol      33 178
 Predecessor set of a word      148
 Probabilistic walk      198
 Random walk      215 216
 Recoding      113
 Recoding Construction      113
 
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