книги / Математическая теория энтропии

Дополнит ельная литература

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Natural definition of

Абелева группа

(Abelian group)

143

Ансамбль

Гиббса

(Gibbs

ensemble)

Абрамова формула

142

алге­

296

автоморфизм

(automorphism)

— канонический (canonical) 286, 289,

браический

10,

143

292

канонический

— апериодический 25, 181, 224

— конфигурационный

— бернуллиевский 8 , 157

1 0 ,

290

(microcanoni-

— гиперболический

(hyperbolic)

— микроканонический

277

(integral)

224,

cal)

286, 289

— интегральный

атом разбиения (atom) 27, 100

259

(quasiregular) 8

Базис

(basis) 28

— квазирегулярный

(complete)

29

— колмогоровский 8

— полный (modO)

— метрический (metric) 66

(с, я)-башня (stack)

180,

2 2 2

— периодический (periodic) 142

— изоморфизм

182

— подстановочный 12

131, 224

— оснащенная

180

автоморфизме,

— производный

(induced)

Бернулли

(Bernoulli)

— с

вполне

положительной

энтро­

157, 201

пией

196

спектром

1 2 ,

150,

— поток

141

-------дискретным

— сдвиг 8 , 9, 24, 145, 157, 159, 191,

190

непрерывным

сйектром

150

192,

201

-------1

------- изоморфизм 159, 191, 244

------- нулевой энтропией 8 , 123, 128,

-------некоммутативный

13

150,

196, 255

------- односторонний

147

— тора 10, 144, 249, 273

— система 24, 201, 244, 246, 247

— эргодический 71,

181

с

инвариантным

разбиением,

/(-автоморфизм 8, 9, 196, 200, 255

255

— без квадратного корня 207

— схема (Bemoully scheme) 2, 9, 24

— небернуллиевский

2 0 1 ,

261

бернуллиевость 8 , 207

критерий 248,

LB-автоморфизм (Loosely Bemoully)

— внешний (external)

202,

264

146

250

(internal)

критерий

S -автоморфизм

— внутренний

аксиома А 277

определение

про­

247, 250

(very weak)

9, 207,

аксиоматическое

— очень

слабая

странства Лебега 27, 30

248,

250

<т-алгебра

— слабая (weak) 9, 207, 248

75

— борелевская 28, 31, 35, 120

Биркгофа

(Birkhoff)

теорема

— полная

(complete)

28

Биркгофа— Хинчина

теорема

73, 75

— счетно-порожденная 36

бит (bit)

86

движение

(Brownian

— хвостовая

(tail)

82

(Smale

броуновское

Аносова — Смейла

теория

motion)

12, 63

theory)

6

канонический

Вариационный

принцип

(variational

ансамбль

большой

(grand

canonical)

286

Principle) 282