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## McDonald, David R.

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 Author ID: mcdonald.david-r Published as: McDonald, D.; McDonald, D. R.; McDonald, David; McDonald, David R.; Mcdonald, David; Mcdonald, David R. External Links: MGP
 Documents Indexed: 61 Publications since 1975, including 2 Books
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#### Co-Authors

 19 single-authored 8 Iscoe, Ian 7 Dabrowski, André Robert 7 Foley, Robert D. 3 Baccelli, François Louis 2 Athreya, Krishna Balasundaram 2 Bordenave, Charles 2 Ghoudi, Kilani 2 Ney, Peter E. 2 Proutière, Alexandre 2 Qian, Keming 2 Turner, Stephen R. E. 1 Adan, Ivo J. B. F. 1 Beck, Bernard 1 Chaintreau, Augustin 1 Chouinard, Aline 1 Collingwood, Jesse 1 Davis, Burgess 1 De Vleeschauwer, Danny 1 Gaudemet, T. 1 Ghosh, Mrinal Kanti 1 Huang, Alan 1 Kim, Kibaek 1 Lamothe, Gilles 1 Lee, Jiyeon 1 Mao, Jun 1 Marcus, Michael B. 1 Qian, Kunmin 1 Reynier, J. 1 Rösler, Uwe 1 Sinha, Surabhi 1 Talagrand, Michel 1 Théberge, François 1 Zarepour, Mahmoud 1 Zinn, Joel
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#### Serials

 9 The Annals of Probability 6 The Canadian Journal of Statistics 6 The Annals of Applied Probability 5 Queueing Systems 3 Advances in Applied Probability 2 The Annals of Statistics 2 Canadian Journal of Mathematics 2 Networks and Heterogeneous Media 1 American Mathematical Monthly 1 IEEE Transactions on Information Theory 1 Stochastics 1 Teoriya Veroyatnosteĭ i eë Primeneniya 1 Theory of Probability and its Applications 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques 1 Bulletin of the London Mathematical Society 1 Journal of Applied Probability 1 Journal of Optimization Theory and Applications 1 Naval Research Logistics 1 Transactions of the American Mathematical Society 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Journal of Theoretical Probability 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 1 Journal of the Royal Statistical Society. Series B 1 Stochastic Processes and their Applications 1 Stochastics and Stochastics Reports 1 Journal of Nonparametric Statistics 1 Journal of Industrial and Management Optimization 1 Fields Institute Communications 1 Journal of the Iranian Statistical Society JIRSS
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#### Fields

 51 Probability theory and stochastic processes (60-XX) 12 Operations research, mathematical programming (90-XX) 11 Statistics (62-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Information and communication theory, circuits (94-XX) 1 Potential theory (31-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

50 Publications have been cited 344 times in 259 Documents Cited by Year
Join the shortest queue: Stability and exact asymptotics. Zbl 1016.60078
Foley, R. D.; McDonald, D. R.
2001
Limit theorems for semi-Markov processes and renewal theory for Markov chains. Zbl 0397.60052
Athreya, K. B.; McDonald, D.; Ney, P.
1978
An elementary proof of the local central limit theorem. Zbl 0841.60013
Davis, Burgess; McDonald, David
1995
Continuity of $$\ell ^ 2$$-valued Ornstein-Uhlenbeck processes. Zbl 0699.60052
Iscoe, I.; Marcus, M. B.; McDonald, D.; Talagrand, M.; Zinn, J.
1990
Large deviations of a modified Jackson network: stability and rough asymptotics. Zbl 1063.60134
Foley, Robert D.; McDonald, David R.
2005
Bridges and networks: exact asymptotics. Zbl 1085.60068
Foley, Robert D.; McDonald, David R.
2005
Asymptotics of first passage times for random walk in an orthant. Zbl 0937.60091
McDonald, D. R.
1999
A cusum procedure based on sequential ranks. Zbl 0722.62064
McDonald, David
1990
Exact asymptotics for the stationary distribution of a Markov chain: a production model. Zbl 1188.60046
Adan, Ivo; Foley, Robert D.; McDonald, David R.
2009
The local limit theorem: a historical perspective. Zbl 06657097
McDonald, D. R.
2005
A particle system in interaction with a rapidly varying environment: mean field limits and applications. Zbl 1262.60092
Bordenave, Charles; McDonald, David R.; Proutière, Alexandre
2010
Coupling and the renewal theorem. Zbl 0397.60072
Athreya, K.; McDonald, D.; Ney, P.
1978
Zero-sum stochastic games with partial information. Zbl 1140.91305
Ghosh, M. K.; McDonald, D.; Sinha, S.
2004
Large deviations for $$\ell ^ 2$$-valued Ornstein-Uhlenbeck processes. Zbl 0716.60060
Iscoe, I.; McDonald, D.
1989
On local limit theorem for integer-valued random variables. Zbl 0435.60022
McDonald, David R.
1980
A local limit theorem for large deviations of sums of independent, nonidentically distributed random variables. Zbl 0421.60026
McDonald, David
1979
Mean field convergence of a model of multiple TCP connections through a buffer implementing RED. Zbl 1094.60053
McDonald, D. R.; Reynier, J.
2006
On the Poisson approximation to the multinomial distribution. Zbl 0452.62016
McDonald, David R.
1980
On local limit theorem for integer valued random variables. Zbl 0411.60027
McDonald, David R.
1979
Constructing a harmonic function for an irreducible nonnegative matrix with convergence parameter $$R>1$$. Zbl 1260.60154
Foley, Robert D.; Mcdonald, David R.
2012
Elements of applied probability for engineering, mathematics and systems science. Zbl 1058.60001
McDonald, David
2004
Rare events for stationary processes. Zbl 1045.60044
Baccelli, F.; McDonald, D. R.
2000
McDonald, David
1996
On semi-Markov and semi-regenerative processes I. Zbl 0395.60080
McDonald, David
1978
Asymptotic stability region of slotted Aloha. Zbl 1364.94350
Bordenave, Charles; McDonald, David; Proutiere, Alexandre
2012
Equilibria of a class of transport equations arising in congestion control. Zbl 1166.90323
Baccelli, Francois; Kim, Ki Baek; Mcdonald, David R.
2007
Asymptotics of exit times for Markov jump processes. II: Applications to Jackson networks. Zbl 0834.60091
Iscoe, I.; McDonald, D.
1994
Asymptotics of exit times for Markov jump processes. I. Zbl 0802.60075
Iscoe, I.; McDonald, D.
1994
Statistical analysis of multiple ion channel data. Zbl 0781.62173
Dabrowski, André Robert; McDonald, David
1992
Renewal theory properties of ion channels. Zbl 0707.60083
Dabrowski, André Robert; McDonald, David; Rösler, Uwe
1990
On semi-Markov and semiregenerative processes II. Zbl 0395.60081
McDonald, David
1978
Renewal theorem and Markov chains. Zbl 0313.60060
McDonald, David
1975
HTTP turbulence. Zbl 1131.90013
Baccelli, François; Chaintreau, Augustin; De Vleeschauwer, Danny; McDonald, David
2006
An approximation method for complete solutions of Markov-modulated fluid models. Zbl 0915.90104
McDonald, D.; Qian, K.
1998
Consistent estimation in the presence of bandwidth limitation. Zbl 0780.92010
Dabrowski, André Robert; McDonald, David
1993
On the asymptotics of randomness statistics. Zbl 0729.60019
McDonald, D.
1991
Yaglom limits can depend on the starting state. Zbl 1431.60075
Foley, R. D.; McDonald, D. R.
2018
Collingwood, Jesse; Foley, Robert D.; McDonald, David R.
2012
Large deviations of multiclass $$M/G/1$$ queues. Zbl 1180.60076
Dabrowski, André; Lee, Jiyeon; McDonald, David R.
2009
Cramér-von Mises regression. Zbl 0966.62023
Ghoudi, Kilani; McDonald, David
2000
Comparing load balancing algorithms for distributed queueing networks. Zbl 0981.90010
McDonald, D. R.; Turner, S. R. E.
2000
A unified approach to fast teller queues and ATM. Zbl 0952.60096
Beck, B.; Dabrowski, A. R.; McDonald, D. R.
1999
Connection admission control for constant bit rate traffic at a multi-buffer multiplexer using the oldest-cell-first discipline. Zbl 0913.90106
Huang, Alan; McDonald, D.
1998
A nonparametric test for homogeneity: Applications to parameter estimation. Zbl 1163.62323
Ghoudi, K.; McDonald, D.
1994
Asymptotics of the exit distribution for Markov jump processes; application to ATM. Zbl 0814.60069
Iscoe, I.; McDonald, D.; Qian, K.
1994
Capacity of ATM switches. Zbl 0779.60076
Iscoe, I.; McDonald, D.; Qian, K.
1993
Induced Dirichlet forms and capacitary inequalities. Zbl 0711.60037
Iscoe, I.; McDonald, D.
1990
On nonhomogeneous, spatial Poisson processes. Zbl 0679.62036
McDonald, D.
1989
A characterization of non-homogeneous Poisson processes. Zbl 0574.62051
Chouinard, Aline; McDonald, David
1985
Equilibrium measures for semi-Markov processes. Zbl 0386.60066
McDonald, David R.
1977
Yaglom limits can depend on the starting state. Zbl 1431.60075
Foley, R. D.; McDonald, D. R.
2018
Constructing a harmonic function for an irreducible nonnegative matrix with convergence parameter $$R>1$$. Zbl 1260.60154
Foley, Robert D.; Mcdonald, David R.
2012
Asymptotic stability region of slotted Aloha. Zbl 1364.94350
Bordenave, Charles; McDonald, David; Proutiere, Alexandre
2012
Collingwood, Jesse; Foley, Robert D.; McDonald, David R.
2012
A particle system in interaction with a rapidly varying environment: mean field limits and applications. Zbl 1262.60092
Bordenave, Charles; McDonald, David R.; Proutière, Alexandre
2010
Exact asymptotics for the stationary distribution of a Markov chain: a production model. Zbl 1188.60046
Adan, Ivo; Foley, Robert D.; McDonald, David R.
2009
Large deviations of multiclass $$M/G/1$$ queues. Zbl 1180.60076
Dabrowski, André; Lee, Jiyeon; McDonald, David R.
2009
Equilibria of a class of transport equations arising in congestion control. Zbl 1166.90323
Baccelli, Francois; Kim, Ki Baek; Mcdonald, David R.
2007
Mean field convergence of a model of multiple TCP connections through a buffer implementing RED. Zbl 1094.60053
McDonald, D. R.; Reynier, J.
2006
HTTP turbulence. Zbl 1131.90013
Baccelli, François; Chaintreau, Augustin; De Vleeschauwer, Danny; McDonald, David
2006
Large deviations of a modified Jackson network: stability and rough asymptotics. Zbl 1063.60134
Foley, Robert D.; McDonald, David R.
2005
Bridges and networks: exact asymptotics. Zbl 1085.60068
Foley, Robert D.; McDonald, David R.
2005
The local limit theorem: a historical perspective. Zbl 06657097
McDonald, D. R.
2005
Zero-sum stochastic games with partial information. Zbl 1140.91305
Ghosh, M. K.; McDonald, D.; Sinha, S.
2004
Elements of applied probability for engineering, mathematics and systems science. Zbl 1058.60001
McDonald, David
2004
Join the shortest queue: Stability and exact asymptotics. Zbl 1016.60078
Foley, R. D.; McDonald, D. R.
2001
Rare events for stationary processes. Zbl 1045.60044
Baccelli, F.; McDonald, D. R.
2000
Cramér-von Mises regression. Zbl 0966.62023
Ghoudi, Kilani; McDonald, David
2000
Comparing load balancing algorithms for distributed queueing networks. Zbl 0981.90010
McDonald, D. R.; Turner, S. R. E.
2000
Asymptotics of first passage times for random walk in an orthant. Zbl 0937.60091
McDonald, D. R.
1999
A unified approach to fast teller queues and ATM. Zbl 0952.60096
Beck, B.; Dabrowski, A. R.; McDonald, D. R.
1999
An approximation method for complete solutions of Markov-modulated fluid models. Zbl 0915.90104
McDonald, D.; Qian, K.
1998
Connection admission control for constant bit rate traffic at a multi-buffer multiplexer using the oldest-cell-first discipline. Zbl 0913.90106
Huang, Alan; McDonald, D.
1998
McDonald, David
1996
An elementary proof of the local central limit theorem. Zbl 0841.60013
Davis, Burgess; McDonald, David
1995
Asymptotics of exit times for Markov jump processes. II: Applications to Jackson networks. Zbl 0834.60091
Iscoe, I.; McDonald, D.
1994
Asymptotics of exit times for Markov jump processes. I. Zbl 0802.60075
Iscoe, I.; McDonald, D.
1994
A nonparametric test for homogeneity: Applications to parameter estimation. Zbl 1163.62323
Ghoudi, K.; McDonald, D.
1994
Asymptotics of the exit distribution for Markov jump processes; application to ATM. Zbl 0814.60069
Iscoe, I.; McDonald, D.; Qian, K.
1994
Consistent estimation in the presence of bandwidth limitation. Zbl 0780.92010
Dabrowski, André Robert; McDonald, David
1993
Capacity of ATM switches. Zbl 0779.60076
Iscoe, I.; McDonald, D.; Qian, K.
1993
Statistical analysis of multiple ion channel data. Zbl 0781.62173
Dabrowski, André Robert; McDonald, David
1992
On the asymptotics of randomness statistics. Zbl 0729.60019
McDonald, D.
1991
Continuity of $$\ell ^ 2$$-valued Ornstein-Uhlenbeck processes. Zbl 0699.60052
Iscoe, I.; Marcus, M. B.; McDonald, D.; Talagrand, M.; Zinn, J.
1990
A cusum procedure based on sequential ranks. Zbl 0722.62064
McDonald, David
1990
Renewal theory properties of ion channels. Zbl 0707.60083
Dabrowski, André Robert; McDonald, David; Rösler, Uwe
1990
Induced Dirichlet forms and capacitary inequalities. Zbl 0711.60037
Iscoe, I.; McDonald, D.
1990
Large deviations for $$\ell ^ 2$$-valued Ornstein-Uhlenbeck processes. Zbl 0716.60060
Iscoe, I.; McDonald, D.
1989
On nonhomogeneous, spatial Poisson processes. Zbl 0679.62036
McDonald, D.
1989
A characterization of non-homogeneous Poisson processes. Zbl 0574.62051
Chouinard, Aline; McDonald, David
1985
On local limit theorem for integer-valued random variables. Zbl 0435.60022
McDonald, David R.
1980
On the Poisson approximation to the multinomial distribution. Zbl 0452.62016
McDonald, David R.
1980
A local limit theorem for large deviations of sums of independent, nonidentically distributed random variables. Zbl 0421.60026
McDonald, David
1979
On local limit theorem for integer valued random variables. Zbl 0411.60027
McDonald, David R.
1979
Limit theorems for semi-Markov processes and renewal theory for Markov chains. Zbl 0397.60052
Athreya, K. B.; McDonald, D.; Ney, P.
1978
Coupling and the renewal theorem. Zbl 0397.60072
Athreya, K.; McDonald, D.; Ney, P.
1978
On semi-Markov and semi-regenerative processes I. Zbl 0395.60080
McDonald, David
1978
On semi-Markov and semiregenerative processes II. Zbl 0395.60081
McDonald, David
1978
Equilibrium measures for semi-Markov processes. Zbl 0386.60066
McDonald, David R.
1977
Renewal theorem and Markov chains. Zbl 0313.60060
McDonald, David
1975
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#### Cited by 387 Authors

 14 McDonald, David R. 10 Miyazawa, Masakiyo 9 Zhao, Yiqiang Q. 7 Alsmeyer, Gerold 7 Sutradhar, Brajendra Chandra 6 Adan, Ivo J. B. F. 5 Kobayashi, Masahiro 5 Weiss, Gideon 4 Athreya, Krishna Balasundaram 4 Csörgő, Miklós 4 Foley, Robert D. 4 Großkinsky, Stefan 4 Ignatiouk-Robert, Irina 4 Li, Hui 4 Lin, Zhengyan 4 Ney, Peter E. 4 Nummelin, Esa 4 Rao, R. Prabhakar 4 Sakuma, Yutaka 4 van Leeuwaarden, Johan S. H. 3 Akgun, Osman T. 3 Anichkin, S. A. 3 Chleboun, Paul 3 Coja-Oghlan, Amin 3 Dabrowski, André Robert 3 Damek, Ewa 3 Khanchi, Aziz 3 Korshunov, Dmitry 3 Proutière, Alexandre 3 Righter, Rhonda 3 Röllin, Adrian 3 Wang, Zhaojun 3 Wolff, Ronald W. 2 Atar, Rami 2 Babuška, Ivo 2 Davis, Burgess 2 Dawson, Donald Andrew 2 Denisov, Denis E. 2 Down, Douglas G. 2 Feyel, Denis 2 Ganesh, Ayalvadi J. 2 Geng, Wei 2 Goldys, Beniamin 2 Graham, Carl 2 Grishunina, S. A. 2 He, Qi-Ming 2 Iscoe, Ian 2 Jelenković, Predrag R. 2 Jiang, Tao 2 Jowaheer, Vandna 2 Kapodistria, Stella 2 Keslassy, Isaac 2 Knessl, Charles 2 Kołodziejek, Bartosz 2 Kolokoltsov, Vassili N. 2 Lalley, Steven P. 2 Lee, Jiyeon 2 Li, Quanlin 2 Liu, Liu 2 Lombard, Fred 2 Löpker, Andreas H. 2 Meiners, Matthias 2 Mendelson, Gal 2 Mentemeier, Sebastian 2 Nobile, Fabio 2 Olvera-Cravioto, Mariana 2 Pollak, Moshe 2 Ross, Nathan 2 Sezer, Ali Devin 2 Shneer, Vsevolod Vladislavovich 2 Szekli, Ryszard 2 Tang, Jiashan 2 Taylor, Peter Gerrard 2 Tempone, Raúl F. 2 Tibi, Danielle 2 Vvedenskaya, Nikita Dmitrievna 2 Wachtel, Vitali I. 2 Yakir, Benjamin 2 Zhou, Maoyuan 2 Zi, Xue-Min 1 Abu-Dayyeh, Walid A. 1 Afanaseva, Larisa G. 1 Aizenman, Michael 1 Albeverio, Sergio A. 1 Albin, J. M. P. 1 Alfa, Attahiru Sule 1 Ambrosio, Luigi 1 Andradóttir, Sigrún 1 Armendáriz, Inés 1 Assaad, Joyce 1 Avram, Florin 1 Ayhan, Hayriye 1 Baccelli, François Louis 1 Bae, Taehan 1 Baillon, Jean-Bernard 1 Ball, Frank G. 1 Barbour, Andrew D. 1 Barton, Nick H. 1 Basu, Arnab K. 1 Bertail, Patrice ...and 287 more Authors
all top 5

#### Cited in 101 Serials

 28 Queueing Systems 20 Stochastic Processes and their Applications 13 Advances in Applied Probability 11 The Annals of Applied Probability 8 Journal of Applied Probability 8 Probability Theory and Related Fields 7 Journal of Statistical Physics 7 Stochastic Models 7 Stochastic Systems 6 The Annals of Probability 6 Journal of Theoretical Probability 6 Annals of Operations Research 5 The Canadian Journal of Statistics 4 Statistics & Probability Letters 3 Journal of Multivariate Analysis 3 Journal of Soviet Mathematics 3 Transactions of the American Mathematical Society 3 Operations Research Letters 3 Acta Applicandae Mathematicae 3 Potential Analysis 3 Combinatorics, Probability and Computing 3 Bernoulli 3 Sankhyā. Series A 2 Journal of Mathematical Analysis and Applications 2 Problems of Information Transmission 2 The Annals of Statistics 2 Journal of Statistical Planning and Inference 2 Sequential Analysis 2 Discrete Event Dynamic Systems 2 Communications in Statistics. Simulation and Computation 2 Computational Statistics and Data Analysis 2 Mathematical Methods of Statistics 2 Top 2 Probability in the Engineering and Informational Sciences 2 Lobachevskii Journal of Mathematics 2 Sankhyā. Series B 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Control 1 Lithuanian Mathematical Journal 1 Mathematical Biosciences 1 Metrika 1 Rocky Mountain Journal of Mathematics 1 Arkiv för Matematik 1 Advances in Mathematics 1 Archiv der Mathematik 1 Biometrics 1 Journal of Combinatorial Theory. Series B 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Journal of Mathematical Economics 1 Journal of Optimization Theory and Applications 1 Memoirs of the American Mathematical Society 1 Operations Research 1 SIAM Journal on Control and Optimization 1 Theoretical Computer Science 1 Theoretical Population Biology 1 Advances in Applied Mathematics 1 Computers & Operations Research 1 Numerical Methods for Partial Differential Equations 1 Asia-Pacific Journal of Operational Research 1 Journal of Global Optimization 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 1 Automation and Remote Control 1 Communications in Partial Differential Equations 1 Communications in Statistics. Theory and Methods 1 European Journal of Operational Research 1 Journal of Statistical Computation and Simulation 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Acta Mathematica Sinica. New Series 1 Stochastics and Stochastics Reports 1 Chinese Science Bulletin 1 International Journal of Robust and Nonlinear Control 1 Applied Mathematics. Series B (English Edition) 1 Statistical Papers 1 Journal of Mathematical Sciences (New York) 1 The Electronic Journal of Combinatorics 1 Electronic Communications in Probability 1 Discrete and Continuous Dynamical Systems 1 Journal of Nonparametric Statistics 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Mathematical Methods of Operations Research 1 Methodology and Computing in Applied Probability 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 OR Spectrum 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Industrial and Management Optimization 1 Stochastics 1 Statistical Methodology 1 The Annals of Applied Statistics 1 Dynamic Games and Applications 1 Journal of the Operations Research Society of China 1 Journal of Time Series Econometrics 1 Journal of Dynamics and Games ...and 1 more Serials
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#### Cited in 33 Fields

 195 Probability theory and stochastic processes (60-XX) 75 Operations research, mathematical programming (90-XX) 39 Statistics (62-XX) 19 Computer science (68-XX) 14 Statistical mechanics, structure of matter (82-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Combinatorics (05-XX) 8 Systems theory; control (93-XX) 6 Biology and other natural sciences (92-XX) 5 Numerical analysis (65-XX) 4 Partial differential equations (35-XX) 4 Functional analysis (46-XX) 3 Ordinary differential equations (34-XX) 3 Mechanics of deformable solids (74-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Fluid mechanics (76-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX)