# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 75 Publications since 1983, including 2 Books
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#### Co-Authors

 30 single-authored 8 Miamee, Abol G. 6 Cheng, Ray 5 Inoue, Akihiko 5 Kasahara, Yukio 4 Daniels, Michael J. 3 Huang, Jianhua Z. 3 Kohli, Priya 3 Maadooliat, Mehdi 3 Sundararajan, Raanju Ragavendar 3 Wu, Wei Biao 1 Arnold, Barry Charles 1 Chen, Lianfu 1 Deb, Soudeep 1 Dellaportas, Petros 1 Fokianos, Konstantinos 1 Garcia, Tanya P. 1 Hua, Tsushung A. 1 Li, Erning 1 Liu, Linxu 1 Liu, Naiping 1 Park, Trevor 1 Pedeli, Xanthi 1 Pipiras, Vladas 1 Salehi, Habib 1 Schick, Anton 1 Tarami, Bahram 1 Tsay, Ruey S. 1 Wang, Xiao
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#### Serials

 8 Journal of Time Series Analysis 7 Biometrika 7 Journal of Multivariate Analysis 5 Statistics & Probability Letters 4 Proceedings of the American Mathematical Society 3 Journal of Statistical Planning and Inference 3 Probability Theory and Related Fields 2 Sankhyā. Series A. Methods and Techniques 2 Bulletin of the Iranian Mathematical Society 2 Journal of Theoretical Probability 2 Communications in Statistics. Theory and Methods 2 Bernoulli 2 Statistics and Computing 1 American Mathematical Monthly 1 Metrika 1 Annals of the Institute of Statistical Mathematics 1 The Annals of Probability 1 Biometrics 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 International Statistical Review 1 Journal of the American Statistical Association 1 Journal of Applied Probability 1 Journal of the London Mathematical Society. Second Series 1 Sankhyā. Series B. Methodological 1 Statistical Science 1 Communications in Statistics. Simulation and Computation 1 SIAM Journal on Applied Mathematics 1 Statistica Sinica 1 Journal of Nonparametric Statistics 1 Journal of the Royal Statistical Society. Series C. Applied Statistics 1 Journal of the Australian Mathematical Society 1 Statistical Modelling 1 Electronic Journal of Statistics 1 Wiley Series in Probability and Statistics 1 Wiley Series in Probability and Mathematical Statistics
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#### Fields

 62 Statistics (62-XX) 31 Probability theory and stochastic processes (60-XX) 9 Numerical analysis (65-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Computer science (68-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

59 Publications have been cited 916 times in 563 Documents Cited by Year
Joint mean-covariance models with applications to longitudinal data: Unconstrained parameterisation. Zbl 0949.62066
1999
Covariance matrix selection and estimation via penalised normal likelihood. Zbl 1152.62346
Huang, Jianhua Z.; Liu, Naiping; Pourahmadi, Mohsen; Liu, Linxu
2006
Maximum likelihood estimation of generalized linear models for multivariate normal covariance matrix. Zbl 0954.62091
2000
Nonparametric estimation of large covariance matrices of longitudinal data. Zbl 1436.62347
2003
Foundations of time series analysis and prediction theory. Zbl 0982.62074
2001
Bayesian analysis of covariance matrices and dynamic models for longitudinal data. Zbl 1036.62019
2002
Banding sample autocovariance matrices of stationary processes. Zbl 1176.62083
2009
Covariance estimation: the GLM and regularization perspectives. Zbl 1246.62139
2011
Cholesky decompositions and estimations of a covariance matrix: orthogonality of variance-correlation parameters. Zbl 1156.62043
2007
Dynamic conditionally linear mixed models for longitudinal data. Zbl 1209.62152
2002
High-dimensional covariance estimation. Zbl 1276.62031
2013
Modeling covariance matrices via partial autocorrelations. Zbl 1175.62090
2009
Baxter’s inequality and convergence of finite predictors of multivariate stochastic processes. Zbl 0792.60031
1993
Wold decomposition, prediction and parameterization of stationary processes with infinite variance. Zbl 0631.60042
1988
Estimation and interpolation of missing values of a stationary time series. Zbl 0686.62067
1989
Simultaneous modelling of the Cholesky decomposition of several covariance matrices. Zbl 1107.62043
Pourahmadi, Mohsen; Daniels, Michael J.; Park, Trevor
2007
Multivariate $$t$$ autoregressions: innovations, prediction variances and exact likelihood equations. Zbl 1051.62088
2003
On stationarity of the solution of a doubly stochastic model. Zbl 0595.60041
1986
Stationarity of the solution of $$X_ t=A_ tX_{t-1}+\epsilon _ t$$ and analysis of non-Gaussian dependent random variables. Zbl 0669.62082
1988
Best approximations in $$L^ p(d\mu)$$ and prediction problems of Szegö, Kolmogorov, Yaglom, and Nakazi. Zbl 0669.41018
1988
A matricial extension of the Helson-Szegö theorem and its application in multivariate prediction. Zbl 0583.62086
1985
Regularity and minimality of infinite variance processes. Zbl 1015.60033
Cheng, R.; Miamee, A. G.; Pourahmadi, M.
2000
On the geometry of $$L^p(\mu)$$ with applications to infinite variance processes. Zbl 1022.60039
Cheng, R.; Miamee, A. G.; Pourahmadi, M.
2003
Some extremal problems in $$L^{p}(w)$$. Zbl 0903.60033
Cheng, R.; Miamee, A. G.; Pourahmadi, M.
1998
Conditional characterizations of multivariate distributions. Zbl 0656.62056
1988
Regression models with time series errors. Zbl 0956.62082
Lin, T. C.; Pourahmadi, M.; Schick, A.
1999
Alternating projections and interpolation of stationary processes. Zbl 0765.60033
1992
Taylor expansion of exp($$\sum ^{\infty}_{k=0}a_ kz^ k)$$ and some applications. Zbl 0555.30002
1984
On the convergence of finite linear predictors of stationary processes. Zbl 0676.62070
1989
On minimality and interpolation of harmonizable stable processes. Zbl 0548.60042
1984
Skew-normal ARMA models with nonlinear heteroscedastic predictors. Zbl 1315.62073
2007
On subordination and linear transformation of harmonizable and periodically correlated processes. Zbl 0543.60045
1984
Cholesky-GARCH models with applications to finance. Zbl 1252.91080
2012
Duals of random vectors and processes with applications to prediction problems with missing values. Zbl 1456.62226
Kasahara, Yukio; Pourahmadi, Mohsen; Inoue, Akihiko
2009
Prediction with incomplete past and interpolation of missing values. Zbl 0899.62121
1997
A prediction problem in $$L^2 (w)$$. Zbl 1121.60041
Pourahmadi, Mohsen; Inoue, Akihiko; Kasahara, Yukio
2007
Remarks on extreme eigenvalues of Toeplitz matrices. Zbl 0638.47023
1988
Degenerate multivariate stationary processes: Basicity, past and future, and autoregressive representation. Zbl 0658.62113
1987
Two prediction problems and extensions of a theorem of Szegö. Zbl 0824.60039
1993
Nonparametric and nonlinear models and data mining in time series: A case-study on the Canadian lynx data. Zbl 0904.62103
1998
Baxter’s inequality for finite predictor coefficients of multivariate long-memory stationary processes. Zbl 1422.60056
Inoue, Akihiko; Kasahara, Yukio; Pourahmadi, Mohsen
2018
The Helson-Sarason-Szego theorem and the Abel summability of the series for the predictor. Zbl 0512.60026
1984
On the mean convergence of the best linear interpolator of multivariate stationary stochastic processes. Zbl 0531.62080
1984
Exact factorization of the spectral density and its application to forecasting and time series analysis. Zbl 0535.62076
1983
Robust estimation of the correlation matrix of longitudinal data. Zbl 1322.62154
2013
Computation of canonical correlation between past and future of a time series. Zbl 0767.62073
1992
Estimation of the generalized prediction error variance of a multiple time series. Zbl 0871.62076
1996
Some prediction problems for stationary random fields with quarter-plane past. Zbl 1293.62119
2014
Regularized multivariate regression models with skew-$$t$$ error distributions. Zbl 1285.62073
2014
The intersection of past and future for multivariate stationary processes. Zbl 1338.60107
Inoue, Akihiko; Kasahara, Yukio; Pourahmadi, Mohsen
2016
Distribution of random correlation matrices: hyperspherical parameterization of the Cholesky factor. Zbl 1398.62133
2015
Graphical diagnostics for modeling unstructured covariance matrices. Zbl 1217.62084
2002
The mixing rate of a stationary multivariate process. Zbl 0776.60055
1993
A sampling theorem for multivariate stationary processes. Zbl 0509.60034
1983
Autoregressive representations of multivariate stationary stochastic processes. Zbl 0639.60045
1988
Some sampling properties of empirical characteristic functions viewed as harmonizable stochastic processes. Zbl 0663.62058
1987
Stationary subspace analysis of nonstationary processes. Zbl 1392.62277
2018
Modeling the Cholesky factors of covariance matrices of multivariate longitudinal data. Zbl 1360.62271
Kohli, Priya; Garcia, Tanya P.; Pourahmadi, Mohsen
2016
Rigidity for matrix-valued Hardy functions. Zbl 1354.46041
Kasahara, Yukio; Inoue, Akihiko; Pourahmadi, Mohsen
2016
Baxter’s inequality for finite predictor coefficients of multivariate long-memory stationary processes. Zbl 1422.60056
Inoue, Akihiko; Kasahara, Yukio; Pourahmadi, Mohsen
2018
Stationary subspace analysis of nonstationary processes. Zbl 1392.62277
2018
The intersection of past and future for multivariate stationary processes. Zbl 1338.60107
Inoue, Akihiko; Kasahara, Yukio; Pourahmadi, Mohsen
2016
Modeling the Cholesky factors of covariance matrices of multivariate longitudinal data. Zbl 1360.62271
Kohli, Priya; Garcia, Tanya P.; Pourahmadi, Mohsen
2016
Rigidity for matrix-valued Hardy functions. Zbl 1354.46041
Kasahara, Yukio; Inoue, Akihiko; Pourahmadi, Mohsen
2016
Distribution of random correlation matrices: hyperspherical parameterization of the Cholesky factor. Zbl 1398.62133
2015
Some prediction problems for stationary random fields with quarter-plane past. Zbl 1293.62119
2014
Regularized multivariate regression models with skew-$$t$$ error distributions. Zbl 1285.62073
2014
High-dimensional covariance estimation. Zbl 1276.62031
2013
Robust estimation of the correlation matrix of longitudinal data. Zbl 1322.62154
2013
Cholesky-GARCH models with applications to finance. Zbl 1252.91080
2012
Covariance estimation: the GLM and regularization perspectives. Zbl 1246.62139
2011
Banding sample autocovariance matrices of stationary processes. Zbl 1176.62083
2009
Modeling covariance matrices via partial autocorrelations. Zbl 1175.62090
2009
Duals of random vectors and processes with applications to prediction problems with missing values. Zbl 1456.62226
Kasahara, Yukio; Pourahmadi, Mohsen; Inoue, Akihiko
2009
Cholesky decompositions and estimations of a covariance matrix: orthogonality of variance-correlation parameters. Zbl 1156.62043
2007
Simultaneous modelling of the Cholesky decomposition of several covariance matrices. Zbl 1107.62043
Pourahmadi, Mohsen; Daniels, Michael J.; Park, Trevor
2007
Skew-normal ARMA models with nonlinear heteroscedastic predictors. Zbl 1315.62073
2007
A prediction problem in $$L^2 (w)$$. Zbl 1121.60041
Pourahmadi, Mohsen; Inoue, Akihiko; Kasahara, Yukio
2007
Covariance matrix selection and estimation via penalised normal likelihood. Zbl 1152.62346
Huang, Jianhua Z.; Liu, Naiping; Pourahmadi, Mohsen; Liu, Linxu
2006
Nonparametric estimation of large covariance matrices of longitudinal data. Zbl 1436.62347
2003
Multivariate $$t$$ autoregressions: innovations, prediction variances and exact likelihood equations. Zbl 1051.62088
2003
On the geometry of $$L^p(\mu)$$ with applications to infinite variance processes. Zbl 1022.60039
Cheng, R.; Miamee, A. G.; Pourahmadi, M.
2003
Bayesian analysis of covariance matrices and dynamic models for longitudinal data. Zbl 1036.62019
2002
Dynamic conditionally linear mixed models for longitudinal data. Zbl 1209.62152
2002
Graphical diagnostics for modeling unstructured covariance matrices. Zbl 1217.62084
2002
Foundations of time series analysis and prediction theory. Zbl 0982.62074
2001
Maximum likelihood estimation of generalized linear models for multivariate normal covariance matrix. Zbl 0954.62091
2000
Regularity and minimality of infinite variance processes. Zbl 1015.60033
Cheng, R.; Miamee, A. G.; Pourahmadi, M.
2000
Joint mean-covariance models with applications to longitudinal data: Unconstrained parameterisation. Zbl 0949.62066
1999
Regression models with time series errors. Zbl 0956.62082
Lin, T. C.; Pourahmadi, M.; Schick, A.
1999
Some extremal problems in $$L^{p}(w)$$. Zbl 0903.60033
Cheng, R.; Miamee, A. G.; Pourahmadi, M.
1998
Nonparametric and nonlinear models and data mining in time series: A case-study on the Canadian lynx data. Zbl 0904.62103
1998
Prediction with incomplete past and interpolation of missing values. Zbl 0899.62121
1997
Estimation of the generalized prediction error variance of a multiple time series. Zbl 0871.62076
1996
Baxter’s inequality and convergence of finite predictors of multivariate stochastic processes. Zbl 0792.60031
1993
Two prediction problems and extensions of a theorem of Szegö. Zbl 0824.60039
1993
The mixing rate of a stationary multivariate process. Zbl 0776.60055
1993
Alternating projections and interpolation of stationary processes. Zbl 0765.60033
1992
Computation of canonical correlation between past and future of a time series. Zbl 0767.62073
1992
Estimation and interpolation of missing values of a stationary time series. Zbl 0686.62067
1989
On the convergence of finite linear predictors of stationary processes. Zbl 0676.62070
1989
Wold decomposition, prediction and parameterization of stationary processes with infinite variance. Zbl 0631.60042
1988
Stationarity of the solution of $$X_ t=A_ tX_{t-1}+\epsilon _ t$$ and analysis of non-Gaussian dependent random variables. Zbl 0669.62082
1988
Best approximations in $$L^ p(d\mu)$$ and prediction problems of Szegö, Kolmogorov, Yaglom, and Nakazi. Zbl 0669.41018
1988
Conditional characterizations of multivariate distributions. Zbl 0656.62056
1988
Remarks on extreme eigenvalues of Toeplitz matrices. Zbl 0638.47023
1988
Autoregressive representations of multivariate stationary stochastic processes. Zbl 0639.60045
1988
Degenerate multivariate stationary processes: Basicity, past and future, and autoregressive representation. Zbl 0658.62113
1987
Some sampling properties of empirical characteristic functions viewed as harmonizable stochastic processes. Zbl 0663.62058
1987
On stationarity of the solution of a doubly stochastic model. Zbl 0595.60041
1986
A matricial extension of the Helson-Szegö theorem and its application in multivariate prediction. Zbl 0583.62086
1985
Taylor expansion of exp($$\sum ^{\infty}_{k=0}a_ kz^ k)$$ and some applications. Zbl 0555.30002
1984
On minimality and interpolation of harmonizable stable processes. Zbl 0548.60042
1984
On subordination and linear transformation of harmonizable and periodically correlated processes. Zbl 0543.60045
1984
The Helson-Sarason-Szego theorem and the Abel summability of the series for the predictor. Zbl 0512.60026
1984
On the mean convergence of the best linear interpolator of multivariate stationary stochastic processes. Zbl 0531.62080
1984
Exact factorization of the spectral density and its application to forecasting and time series analysis. Zbl 0535.62076
1983
A sampling theorem for multivariate stationary processes. Zbl 0509.60034
1983
all top 5

#### Cited by 860 Authors

 30 Pourahmadi, Mohsen 13 Soltani, Ahmad Reza 12 Cheng, Raymond 11 Daniels, Michael J. 11 Pan, Jianxin 10 Inoue, Akihiko 9 Politis, Dimitris Nicolas 8 Kasahara, Yukio 7 Cheng, Ray 7 Nematollahi, A. R. 6 Fan, Jianqing 6 Khare, Kshitij 6 Miamee, Abol G. 6 Paparoditis, Efstathios 6 Rajaratnam, Bala 6 Sun, Dongchu 6 Wu, Wei Biao 6 Zhu, Zhongyi 5 Bickel, Peter John 5 Bondon, Pascal 5 Lee, Keunbaik 5 Ross, William T. jun. 5 Shishebor, Zohreh 5 Wesołowski, Jacek 4 Bingham, Nicholas Hugh 4 Guo, Chaohui 4 Huang, Jianhua Z. 4 Ing, Ching-Kang 4 Klotz, Lutz Peter 4 Lesaffre, Emmanuel M. E. H. 4 Levina, Elizaveta 4 Li, Degui 4 Lv, Jing 4 Maadooliat, Mehdi 4 Mao, Jie 4 McMurry, Timothy L. 4 Mohammadpour, Mehrnaz 4 Rothman, Adam J. 4 Tang, Manlai 4 Yuan, Ming 4 Zhang, WeiPing 4 Zhou, Harrison H. 4 Zou, Hui 3 Ahsanullah, Mohammad 3 Banerjee, Sayantan 3 Bello, Nora M. 3 Berger, James Orvis 3 Cai, Tony Tony 3 Chen, Jia 3 Chen, Song Xi 3 Chen, Yu 3 Ghosal, Subhashis 3 Ghosh, Malay 3 Holan, Scott H. 3 Kreiss, Jens-Peter 3 Leng, Chenlei 3 Lian, Heng 3 Lin, Hongmei 3 Liu, Shu 3 Mallick, Bani K. 3 Mashreghi, Javad 3 McNicholas, Paul D. 3 Moklyachuk, Mykhaĭlo Pavlovych 3 Ni, Shawn 3 Palma, Wilfredo 3 Popović, Božidar V. 3 Ren, Zhao 3 Serra-Capizzano, Stefano 3 Steibel, Juan P. 3 Tarami, Bahram 3 Tempelman, Robert J. 3 Tsukuma, Hisayuki 3 Verzelen, Nicolas 3 Wang, Suojin 3 Yoo, Jae Keun 3 You, Jinhong 3 Zhang, Riquan 3 Zimmerman, Dale L. 2 Al-Kandari, Noriah M. A. 2 Al-Rawwash, Mohammad Y. 2 Alonso, Andrés M. 2 Anděl, Jiří 2 Anh, Vo V. 2 Arellano-Valle, Reinaldo Boris 2 Arnold, Barry Charles 2 Bailey, Natalia 2 Baladandayuthapani, Veerabhadran 2 Banerjee, Sudipto 2 Brownlees, Christian 2 Cao, Xuan 2 Carvalho, Carlos Marinho 2 Cepeda-Cuervo, Edilberto 2 Chandrasekaran, Venkat 2 Charalambous, Christiana 2 Chen, Gemai 2 Chen, Ziqi 2 Cheng, Tzu-Chang F. 2 Congdon, Peter D. 2 Das, Kiranmoy 2 Dauxois, Jacques ...and 760 more Authors
all top 5

#### Cited in 126 Serials

 44 The Annals of Statistics 41 Journal of Multivariate Analysis 37 Computational Statistics and Data Analysis 27 Journal of Statistical Planning and Inference 24 Communications in Statistics. Theory and Methods 24 Electronic Journal of Statistics 20 Statistics & Probability Letters 19 Journal of Time Series Analysis 18 Journal of Econometrics 13 Journal of Statistical Computation and Simulation 12 Biometrics 12 Computational Statistics 11 Journal of the American Statistical Association 11 The Annals of Applied Statistics 10 The Canadian Journal of Statistics 8 Linear Algebra and its Applications 7 Annals of the Institute of Statistical Mathematics 7 Communications in Statistics. Simulation and Computation 7 Test 7 Statistical Modelling 7 Statistics and Computing 6 Journal of Applied Statistics 6 Journal of the Korean Statistical Society 5 Journal of Mathematical Analysis and Applications 5 Metrika 5 Scandinavian Journal of Statistics 5 Probability Theory and Related Fields 5 Journal of Nonparametric Statistics 4 Proceedings of the American Mathematical Society 4 Stochastic Processes and their Applications 4 Journal of the Royal Statistical Society. Series B. Statistical Methodology 4 Journal of Agricultural, Biological, and Environmental Statistics 4 Bayesian Analysis 3 Biometrical Journal 3 Numerical Functional Analysis and Optimization 3 Stochastic Analysis and Applications 3 Acta Mathematicae Applicatae Sinica. English Series 3 Statistics 3 Statistical Science 3 Machine Learning 3 Theory of Probability and Mathematical Statistics 3 Statistical Papers 3 Bernoulli 3 Probability Surveys 3 Science China. Mathematics 3 Sankhyā. Series B 2 Advances in Applied Probability 2 Analysis Mathematica 2 Periodica Mathematica Hungarica 2 Psychometrika 2 Rocky Mountain Journal of Mathematics 2 Journal of Applied Probability 2 Journal of Approximation Theory 2 Kybernetika 2 Metron 2 Mathematical Methods of Statistics 2 Mathematical Problems in Engineering 2 Acta Mathematica Sinica. English Series 2 Econometric Theory 2 Quantitative Finance 2 Journal of Statistical Theory and Practice 2 Sankhyā. Series A 2 Communications in Mathematics and Statistics 1 Bulletin of the Australian Mathematical Society 1 Journal d’Analyse Mathématique 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physica A 1 Physics Reports 1 Applied Mathematics and Computation 1 Automatica 1 BIT 1 Blätter (Deutsche Gesellschaft für Versicherungsmathematik) 1 Econometrica 1 Illinois Journal of Mathematics 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Economic Theory 1 Journal of Mathematical Psychology 1 Opsearch 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Journal of Classification 1 Journal of Complexity 1 International Journal of Approximate Reasoning 1 Journal of Theoretical Probability 1 Journal of Applied Mathematics and Stochastic Analysis 1 Neural Computation 1 Numerical Algorithms 1 European Journal of Operational Research 1 Journal of Inverse and Ill-Posed Problems 1 Statistica Sinica 1 Journal of Computational Neuroscience 1 Lifetime Data Analysis 1 The Journal of Fourier Analysis and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Optimization Methods & Software 1 Mathematical Inequalities & Applications 1 Australian & New Zealand Journal of Statistics 1 Far East Journal of Applied Mathematics ...and 26 more Serials
all top 5

#### Cited in 27 Fields

 495 Statistics (62-XX) 95 Probability theory and stochastic processes (60-XX) 88 Numerical analysis (65-XX) 31 Linear and multilinear algebra; matrix theory (15-XX) 18 Functional analysis (46-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Combinatorics (05-XX) 14 Operations research, mathematical programming (90-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 10 Biology and other natural sciences (92-XX) 9 Functions of a complex variable (30-XX) 7 Computer science (68-XX) 6 Operator theory (47-XX) 6 Geophysics (86-XX) 4 Systems theory; control (93-XX) 3 Integral transforms, operational calculus (44-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX)