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Honerkamp J. — Statistical physics: an advanced approach with applications
Honerkamp J. — Statistical physics: an advanced approach with applications

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Название: Statistical physics: an advanced approach with applications

Автор: Honerkamp J.

Аннотация:

The application of statistical methods to physics is essen- tial. This unique book on statistical physics offers an advanced approach with numerous applications to the modern problems students are confronted with. Therefore the text contains more concepts and methods in statistics than the student would need for statistical mechanics alone. Methods from mathematical statistics and stochastics for the analy- sis of data are discussed as well. The book is divided into two parts, focusing first on the modeling of statistical systems and then on the analysis of these systems. Problems with hints for solution help the students to deepen their knowledge. The second edition has been updated and enlarged with new material on estimators based on a probability dis- tribution for the parameters, identification of stochastic models from observations, and statistical tests and classi- fication methods (Chaps. 10-12). Moreover, a customized set of set of problems with solutions is accessible on the Web.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2nd

Год издания: 2002

Количество страниц: 529

Добавлена в каталог: 16.12.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$H_{0}$ hypothesis      446
$\alpha$-stable Levy process      204
$\lambda$-transition      244
$\Omega$-expansion      193
$\theta$-point      96
A posteriori probability      16 387
a priori probability      16
Acausal filter      349
Acoustic, branch      262
Adiabatic compressibility      80
Adiabatic process      292
Algorithm, backward      437
Algorithm, forward      437
Algorithm, Gibbs sampler      394
Algorithm, heat bath      182
Algorithm, Metropolis      182
Algorithm, Metropolis — Hustings method      395
Algorithm, Viterbi      417
Aliasing effect      345
All-pole filter      350
All-zero filter      349
Anergy      298
Anisotropic Heisenberg model      281
Anisotropic Ising model      123
Anti-aliasing filter      345
Antiferromagnetic substance      284
Approximation, in the decomposition of a time series      374
AR(p) model      207 211 398
ARMA model      404
ARMA(p, q) process      206
Auto model      122
Autobinomial model      122
Autologistic model      122
Automatic classification      467
Autoregressive filter      350
Autoregressive moving average filter      350
Autoregressive process      205
Avogadro's number      254
Band-pass filter      348
Band-stop filter      348
Bartlett window      352
Baxter model      144
Bayes' theorem      16 18
Bayesian estimator      387
Belief function      309
Bernoulli distribution      10
Bessel filter      354
Bias      311 32
Bimodal distribution      21
Binomial distribution      10 22
Boltzmann density      60
Boltzmann distribution      13 30
Bootstrap method      449
Borel space      6
Born — Green — Yvon equation      100
Bose — Einstein condensation      238
Bose — Einstein distribution      234
Boxcar window      357
Breit — Wigner distribution      21
Brownian motion      189
Butterworth filter      354
Canonical density      60
Canonical system      58
Carnot cycle      296
Carnot efficiency      296
Cauchy distribution      21
Central limit theorem      36
Chandrasekhar limit      233
Chapman — Kolmogorov equation      157
Characteristic exponent      40
Characteristic function      20
chemical potential      68
Chemical reaction      168
Cholesky method      204
Classification error      465
Classifiers      462
Clausius — Clapeyron equation      107
CLIQUE      118
Cluster analysis      467
Coexistence phase      105
Coiflets filter      373
Condensation region      238
Confidence interval      317 318 334
Confidence region      333
Consistent estimator      311
Correlation      20
Correlation time, in simulations      180
Covariance function      340
Covariance matrix      20
Critical exponents      109
Critical exponents in mean-field approximation      138
Critical opalescence      109
Critical point      48
Critical state      109
Cumulants      20
Curie constant      128
Curie law, for paramagnetic substances      128
Curie temperature      284
Curie — Weiss law      138
Curie — Weiss model      132
Data windowing      357
Daubechies filter      373
Daubechies filter of order 2      383
De Broglie wavelength, thermal      223
De Haas — van Alphen, effect of      274
Debye ansatz for phonon spectrum      260
Debye function      263
Debye temperature      263
Deconvolution problem      408
Degenerate regime      228
Degree of degeneracy      228
density      9
Density distribution      9
Density function      9
Density marginal      13
Density of a canonical system      58
Density of states      53
Density stable      39
Density strictly stable      39
Detail, in the decomposition of a time series      374
Detailed balance      162 395
Deviation      325
Diamagnetic substance      271
Diamagnetism      272
Diesel circle      489
Diffusion process      185 195
Diffusion process multivariate      185
Dilation equation      378
Discrepancy method      408
Discrete wavelet transformation      374
Dissipation      191
distribution      8 9
Distribution, Bernoulli      10
Distribution, bimodal      21
Distribution, binomial      10
Distribution, Boltzmann      10
Distribution, Cauchy      21
Distribution, Gaussian      10
Distribution, Maxwell — Boltzmann      35
Distribution, multivariate      13
Distribution, normal      10
Distribution, of dwell time      179
Distribution, Poisson      12
Down-sampling      368
Dulong and Petit law      263
Dwell time distribution      179
Dynamical moduli      415
Dynamical structure function      90
Eight-vertex model      144
Einstein ansatz for phonon spectrum      260
Einstein relation      193
Elementary events      6
Elliptic filter      354
EM algorithm      468
EM method      432
entropy      24 53
Entropy for a Gaussian random variable      25
Entropy for ideal Bose gas      243
Entropy for the classical ideal gas      54
Entropy of independent random variables      28
Entropy, for general density functions      27
Entropy, relative      26
Equipartition theorem      83
Equiripple filter      353
Error bar      318
Error of measurement      328
Error of measurement, constant absolute      328
Error of measurement, constant relative      328
Error of the first kind      446
Error of the second kind      447
Error propagation      320 325
Estimation      310
Estimation of $\pi/4$      315
Estimator      38 310
Estimator, consistent      311
Estimator, for $\sigma_{0}^{2}$      336
Estimator, for the expectation value      310
Estimator, for the variance      312
Estimator, unbiased      311 321
Euler method      190
Euler — Maclaurin sum formula      235
Event      6
Exchange coupling constant      281
Exergy      298
Exergy efficiency      300
Expectation maximization method      432
expectation value      18
Experimental outcome      7
Exponent, characteristic      40
Extensive Variable      70
Factorial cumulant      170
Fermi edge      227
Fermi energy      227
Fermi momentum      227
Fermi sea      227
Fermi surface      227
Fermi temperature      227
Fermi temperature in white dwarf stars      233
Fermi — Dirac distribution      226
Ferrimagnetic substance      285
Ferroelectric substance      143
Ferromagnetic substance      272 284
Filling fraction      275
Filter      346
Filter bank, Haar      371 382
Filter, acausal      349
Filter, all-pole      350
Filter, all-zero      349
Filter, autoregressive      350
Filter, bank      366
Filter, causal      346
Filter, equiripple      353
Filter, finite impulse response      349
Filter, infinite impulse response      350
Filter, invertible      491
Filter, moving average      349
Filter, nonrecursive      349
Filter, recursive      350
Filter, stable      491
FIR filter      349
FIR filter least-squares      352
Fluctuation-dissipation theorem      81 191
Fokker — Planck equation      185
Fractal Brownian motion      204
Fractal Gaussian noise      204
Free energy      61
Free energy function      46
Free enthalpy      66
Fugacity      221
Functions of random variables      9
Gain of a filter      348
Gamma function      34 54
Gamma function, incomplete      334
Gas constant      254
Gauss model      124
Gaussian distribution      10
Gaussian distribution, Fourier transform      21
Gaussian distribution, multivariate      13
Gaussian stochastic process      188
Gaussian white noise      158
Generating function, of modified Bessel function      174
Gibbs differential form      70
Gibbs field      119
Gibbs function      70
Gibbs paradox      55
Gibbs phenomenon      351 358
Gibbs sampler      183
Goat problem      17
Grand canonical for quasi-particles      279
Grand canonical system      68
Greenhouse effect      256
Haar filter bank      371 382
Hall current      274
Hall effect, quantized      274
Hall resistivity      275
Hall voltage      274
Hamiltonian function      52
Hammersley — Clifford theorem      120
Hamming window      352
Heat      57 290
Heat bath      58
Heat bath algorithm      182
heat capacity      76
Heat capacity for constant pressure      77
Heat capacity for constant volume      76
Heat of conversion      107
Heat pump      297
Heat radiation      250
Heating process      292
Heisenberg model      281
Heisenberg model, anisotropic      281
Heisenberg model, classical      145
Heisenberg model, isotropic      281
Heitler — London approximation      282
Hidden Markov model      403 431
Hidden System      403
High-pass filter      348
History of the concept of probability      6
Hitting method      315
Holes      228
Homogeneous function      150
Homogeneous function, generalized      150
Hypernetted-chain equation      100
Hypersurface of constant probability      333
Ice model      144
Ideal gas, classical      54
IID      158
IIR filter      350
Ill-conditioned      408
Ill-conditioned matrix      336
Ill-posed problem      337
Image processing      404
Importance sampling      314
Independence of random variables      15
Independent and identically distributed      158
Independent sample      322
INDEX      40
Inference      404
Intensive variable      57
Inverse problem      404
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