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Arratia, Richard Alejandro

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Author ID: arratia.richard Recent zbMATH articles by "Arratia, Richard Alejandro"
Published as: Arratia, R.; Arratia, Richard; Arratis, Richard
Homepage: http://www-bcf.usc.edu/~rarratia/
External Links: MGP · Wikidata
Documents Indexed: 52 Publications since 1981, including 1 Book

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 1,003 times in 749 Documents Cited by Year
Logarithmic combinatorial structures: A probabilistic approach. Zbl 1040.60001
Arratia, Richard; Barbour, A. D.; Tavaré, Simon
151
2003
Two moments suffice for Poisson approximations: The Chen-Stein method. Zbl 0675.60017
Arratia, R.; Goldstein, L.; Gordon, L.
151
1989
Poisson approximation and the Chen-Stein method. With comments and a rejoinder by the authors. Zbl 0955.62542
Arratia, Richard; Goldstein, Larry; Gordon, Louis
74
1990
The motion of a tagged particle in the simple symmetric exclusion system on Z. Zbl 0515.60097
Arratia, Richard
47
1983
Poisson process approximations for the Ewens sampling formula. Zbl 0756.60006
Arratia, Richard; Barbour, A. D.; Tavaré, Simon
45
1992
Limiting point processes for rescalings of coalescing and annihilating random walks on \(Z^ n\). Zbl 0496.60098
Arratia, Richard
36
1981
The cycle structure of random permutations. Zbl 0759.60007
Arratia, Richard; Tavaré, Simon
35
1992
The interlace polynomial of a graph. Zbl 1060.05062
Arratia, Richard; Bollobás, Béla; Sorkin, Gregory B.
34
2004
The Erdős-Rényi law in distribution, for coin tossing and sequence matching. Zbl 0712.92016
Arratia, R.; Gordon, L.; Waterman, M. S.
34
1990
Independent process approximations for random combinatorial structures. Zbl 0802.60008
Arratia, Richard; Tavaré, Simon
33
1994
On the Stanley-Wilf conjecture for the number of permutations avoiding a given pattern. Zbl 0922.05002
Arratia, Richard
29
1999
A phase transition for the score in matching random sequences allowing deletions. Zbl 0809.62008
Arratia, Richard; Waterman, Michael S.
25
1994
Limit theorems for combinatorial structures via discrete process approximations. Zbl 0758.60009
Arratia, Richard; Tavaré, Simon
25
1992
A two-variable interlace polynomial. Zbl 1064.05139
Arratia, Richard; Bollobás, Béla; Sorkin, Gregory B.
20
2004
The interlace polynomial: A new graph polynomial. Zbl 0955.05066
Arratia, Richard; Bollobás, Béla; Sorkin, Gregory B.
20
2000
Limits of logarithmic combinatorial structures. Zbl 1044.60003
Arratia, R.; Barbour, A. D.; Tavaré, S.
17
2000
Euler circuits and DNA sequencing by hybridization. Zbl 0997.92014
Arratia, Richard; Bollobás, Béla; Coppersmith, Don; Sorkin, Gregory B.
17
2000
Pattern recognition in several sequences: Consensus and alignment. Zbl 0565.92003
Waterman, M. S.; Arratia, R.; Galas, D. J.
16
1984
Site recurrence for annihilating random walks on \(Z^ n\). Zbl 0517.60075
Arratia, Richard
16
1983
On random polynomials over finite fields. Zbl 0789.60034
Arratia, Richard; Barbour, A. D.; Tavaré, Simon
15
1993
The Erdős-Rényi strong law for pattern matching with a given proportion of mismatches. Zbl 0688.62019
Arratia, R.; Waterman, M. S.
15
1989
Tutorial on large deviations for the binomial distribution. Zbl 0663.60028
Arratia, R.; Gordon, L.
14
1989
An extreme value theory for sequence matching. Zbl 0602.62015
Arratia, Richard; Gordon, Louis; Waterman, Michael
14
1986
An Erdős-Rényi law with shifts. Zbl 0586.60031
Arratia, Richard; Waterman, Michael S.
11
1985
Critical phenomena in sequence matching. Zbl 0576.60058
Arratia, Richard; Waterman, Michael S.
11
1985
Random combinatorial structures and prime factorizations. Zbl 0915.60011
Arratia, Richard; Barbour, A. D.; Tavaré, Simon
9
1997
Size bias for one and all. Zbl 1427.60002
Arratia, Richard; Goldstein, Larry; Kochman, Fred
8
2019
Bounded size bias coupling: a gamma function bound, and universal Dickman-function behavior. Zbl 1323.60034
Arratia, Richard; Baxendale, Peter
8
2015
Symmetric exclusion processes: A comparison inequality and a large deviation result. Zbl 0558.60075
Arratia, Richard
8
1985
Probabilistic divide-and-conquer: a new exact simulation method, with integer partitions as an example. Zbl 1372.60006
Arratia, Richard; DeSalvo, Stephen
7
2016
Local central limit theorems, the high-order correlations of rejective sampling and logistic likelihood asymptotics. Zbl 1068.62106
Arratia, Richard; Goldstein, Larry; Langholz, Bryan
7
2005
Total variation asymptotics for Poisson process approximations for logarithmic combinatorial assemblies. Zbl 0833.60010
Arratia, Richard; Stark, Dudley; Tavaré, Simon
7
1995
Stochastic scrabble: Large deviations for sequences with scores. Zbl 0645.60077
Arratia, Richard; Morris, Pricilla; Waterman, Michael S.
6
1988
How likely is an LLD degree sequence to be graphical? Zbl 1079.05023
Arratia, Richard; Liggett, Thomas M.
5
2005
On the central role of scale invariant Poisson processes on \((0,\infty)\). Zbl 0916.60045
Arratia, Richard
5
1998
The Poisson-Dirichlet distribution and the scale-invariant Poisson process. Zbl 0945.60010
Arratia, Richard; Barbour, A. D.; Tavaré, Simon
4
1999
Exploiting the Feller coupling for the Ewens sampling formula. Zbl 1442.60009
Arratia, Richard; Barbour, A. D.; Tavaré, Simon
3
2016
Some people have all the luck. Zbl 1325.60059
Arratia, Richard; Garibaldi, Skip; Mower, Lawrence; Stark, Philip B.
3
2015
On the amount of dependence in the prime factorization of a uniform random integer. Zbl 1126.11331
Arratia, R.
3
2002
Scale-free and power law distributions via fixed points and convergence of (thinning and conditioning) transformations. Zbl 1320.60010
Arratia, Richard; Liggett, Thomas M.; Williamson, Malcolm J.
2
2014
On the singularity of random Bernoulli matrices – novel integer partitions and lower bound expansions. Zbl 1320.60020
Arratia, Richard; DeSalvo, Stephen
2
2013
A tale of three couplings: Poisson-Dirichlet and GEM approximations for random permutations. Zbl 1086.60005
Arratia, Richard; Barbour, A. D.; Tavaré, Simon
2
2006
The number of components in a logarithmic combinatorial structure. Zbl 1056.60012
Arratis, Richard; Barbour, A. D.; Tavaré, Simon
2
2000
On Poisson-Dirichlet limits for random decomposable combinatorial structures. Zbl 0938.60019
Arratia, Richard; Barbour, A. D.; Tavaré, Simon
2
1999
Simulating the component counts of combinatorial structures. Zbl 1405.92158
Arratia, Richard; Barbour, A. D.; Ewens, W. J.; Tavaré, Simon
1
2018
The van den Berg-Kesten-Reimer operator and inequality for infinite spaces. Zbl 1430.60021
Arratia, Richard; Garibaldi, Skip; Hales, Alfred W.
1
2018
Asymptotic distribution for the birthday problem with multiple coincidences, via an embedding of the collision process. Zbl 1376.60017
Arratia, Richard; Garibaldi, Skip; Kilian, Joe
1
2016
A note on distributional equality in the cyclic tour property for Markov chains. Zbl 0890.60062
Tanushev, Miroslav; Arratia, Richard
1
1997
The distribution of clusters in random graphs. Zbl 0725.05071
Arratia, Richard; Lander, Eric S.
1
1990
Size bias for one and all. Zbl 1427.60002
Arratia, Richard; Goldstein, Larry; Kochman, Fred
8
2019
Simulating the component counts of combinatorial structures. Zbl 1405.92158
Arratia, Richard; Barbour, A. D.; Ewens, W. J.; Tavaré, Simon
1
2018
The van den Berg-Kesten-Reimer operator and inequality for infinite spaces. Zbl 1430.60021
Arratia, Richard; Garibaldi, Skip; Hales, Alfred W.
1
2018
Probabilistic divide-and-conquer: a new exact simulation method, with integer partitions as an example. Zbl 1372.60006
Arratia, Richard; DeSalvo, Stephen
7
2016
Exploiting the Feller coupling for the Ewens sampling formula. Zbl 1442.60009
Arratia, Richard; Barbour, A. D.; Tavaré, Simon
3
2016
Asymptotic distribution for the birthday problem with multiple coincidences, via an embedding of the collision process. Zbl 1376.60017
Arratia, Richard; Garibaldi, Skip; Kilian, Joe
1
2016
Bounded size bias coupling: a gamma function bound, and universal Dickman-function behavior. Zbl 1323.60034
Arratia, Richard; Baxendale, Peter
8
2015
Some people have all the luck. Zbl 1325.60059
Arratia, Richard; Garibaldi, Skip; Mower, Lawrence; Stark, Philip B.
3
2015
Scale-free and power law distributions via fixed points and convergence of (thinning and conditioning) transformations. Zbl 1320.60010
Arratia, Richard; Liggett, Thomas M.; Williamson, Malcolm J.
2
2014
On the singularity of random Bernoulli matrices – novel integer partitions and lower bound expansions. Zbl 1320.60020
Arratia, Richard; DeSalvo, Stephen
2
2013
A tale of three couplings: Poisson-Dirichlet and GEM approximations for random permutations. Zbl 1086.60005
Arratia, Richard; Barbour, A. D.; Tavaré, Simon
2
2006
Local central limit theorems, the high-order correlations of rejective sampling and logistic likelihood asymptotics. Zbl 1068.62106
Arratia, Richard; Goldstein, Larry; Langholz, Bryan
7
2005
How likely is an LLD degree sequence to be graphical? Zbl 1079.05023
Arratia, Richard; Liggett, Thomas M.
5
2005
The interlace polynomial of a graph. Zbl 1060.05062
Arratia, Richard; Bollobás, Béla; Sorkin, Gregory B.
34
2004
A two-variable interlace polynomial. Zbl 1064.05139
Arratia, Richard; Bollobás, Béla; Sorkin, Gregory B.
20
2004
Logarithmic combinatorial structures: A probabilistic approach. Zbl 1040.60001
Arratia, Richard; Barbour, A. D.; Tavaré, Simon
151
2003
On the amount of dependence in the prime factorization of a uniform random integer. Zbl 1126.11331
Arratia, R.
3
2002
The interlace polynomial: A new graph polynomial. Zbl 0955.05066
Arratia, Richard; Bollobás, Béla; Sorkin, Gregory B.
20
2000
Limits of logarithmic combinatorial structures. Zbl 1044.60003
Arratia, R.; Barbour, A. D.; Tavaré, S.
17
2000
Euler circuits and DNA sequencing by hybridization. Zbl 0997.92014
Arratia, Richard; Bollobás, Béla; Coppersmith, Don; Sorkin, Gregory B.
17
2000
The number of components in a logarithmic combinatorial structure. Zbl 1056.60012
Arratis, Richard; Barbour, A. D.; Tavaré, Simon
2
2000
On the Stanley-Wilf conjecture for the number of permutations avoiding a given pattern. Zbl 0922.05002
Arratia, Richard
29
1999
The Poisson-Dirichlet distribution and the scale-invariant Poisson process. Zbl 0945.60010
Arratia, Richard; Barbour, A. D.; Tavaré, Simon
4
1999
On Poisson-Dirichlet limits for random decomposable combinatorial structures. Zbl 0938.60019
Arratia, Richard; Barbour, A. D.; Tavaré, Simon
2
1999
On the central role of scale invariant Poisson processes on \((0,\infty)\). Zbl 0916.60045
Arratia, Richard
5
1998
Random combinatorial structures and prime factorizations. Zbl 0915.60011
Arratia, Richard; Barbour, A. D.; Tavaré, Simon
9
1997
A note on distributional equality in the cyclic tour property for Markov chains. Zbl 0890.60062
Tanushev, Miroslav; Arratia, Richard
1
1997
Total variation asymptotics for Poisson process approximations for logarithmic combinatorial assemblies. Zbl 0833.60010
Arratia, Richard; Stark, Dudley; Tavaré, Simon
7
1995
Independent process approximations for random combinatorial structures. Zbl 0802.60008
Arratia, Richard; Tavaré, Simon
33
1994
A phase transition for the score in matching random sequences allowing deletions. Zbl 0809.62008
Arratia, Richard; Waterman, Michael S.
25
1994
On random polynomials over finite fields. Zbl 0789.60034
Arratia, Richard; Barbour, A. D.; Tavaré, Simon
15
1993
Poisson process approximations for the Ewens sampling formula. Zbl 0756.60006
Arratia, Richard; Barbour, A. D.; Tavaré, Simon
45
1992
The cycle structure of random permutations. Zbl 0759.60007
Arratia, Richard; Tavaré, Simon
35
1992
Limit theorems for combinatorial structures via discrete process approximations. Zbl 0758.60009
Arratia, Richard; Tavaré, Simon
25
1992
Poisson approximation and the Chen-Stein method. With comments and a rejoinder by the authors. Zbl 0955.62542
Arratia, Richard; Goldstein, Larry; Gordon, Louis
74
1990
The Erdős-Rényi law in distribution, for coin tossing and sequence matching. Zbl 0712.92016
Arratia, R.; Gordon, L.; Waterman, M. S.
34
1990
The distribution of clusters in random graphs. Zbl 0725.05071
Arratia, Richard; Lander, Eric S.
1
1990
Two moments suffice for Poisson approximations: The Chen-Stein method. Zbl 0675.60017
Arratia, R.; Goldstein, L.; Gordon, L.
151
1989
The Erdős-Rényi strong law for pattern matching with a given proportion of mismatches. Zbl 0688.62019
Arratia, R.; Waterman, M. S.
15
1989
Tutorial on large deviations for the binomial distribution. Zbl 0663.60028
Arratia, R.; Gordon, L.
14
1989
Stochastic scrabble: Large deviations for sequences with scores. Zbl 0645.60077
Arratia, Richard; Morris, Pricilla; Waterman, Michael S.
6
1988
An extreme value theory for sequence matching. Zbl 0602.62015
Arratia, Richard; Gordon, Louis; Waterman, Michael
14
1986
An Erdős-Rényi law with shifts. Zbl 0586.60031
Arratia, Richard; Waterman, Michael S.
11
1985
Critical phenomena in sequence matching. Zbl 0576.60058
Arratia, Richard; Waterman, Michael S.
11
1985
Symmetric exclusion processes: A comparison inequality and a large deviation result. Zbl 0558.60075
Arratia, Richard
8
1985
Pattern recognition in several sequences: Consensus and alignment. Zbl 0565.92003
Waterman, M. S.; Arratia, R.; Galas, D. J.
16
1984
The motion of a tagged particle in the simple symmetric exclusion system on Z. Zbl 0515.60097
Arratia, Richard
47
1983
Site recurrence for annihilating random walks on \(Z^ n\). Zbl 0517.60075
Arratia, Richard
16
1983
Limiting point processes for rescalings of coalescing and annihilating random walks on \(Z^ n\). Zbl 0496.60098
Arratia, Richard
36
1981
all top 5

Cited by 950 Authors

19 Manstavičius, Eugenijus
15 Barbour, Andrew D.
13 Arratia, Richard Alejandro
11 Gnedin, Alexander V.
10 Matzinger, Heinrich III
10 Traldi, Lorenzo
9 Bollobás, Béla
9 Durrett, Richard Timothy
9 Goldstein, Larry
8 Godbole, Anant P.
8 Jiang, Tiefeng
8 Pitman, Jim William
8 Tavaré, Simon
8 Xia, Aihua
8 Zeindler, Dirk
6 Bogachev, Leonid V.
6 Brijder, Robert
6 deSalvo, Stephen A.
6 Fu, James C.
6 Fulman, Jason E.
6 Granovsky, Boris L.
6 McMorris, Frederick R.
6 Waterman, Michael S.
5 Arias-Castro, Ery
5 Berestycki, Nathanaël
5 Bramson, Maury D.
5 Damron, Michael
5 Day, William H. E.
5 Ferrari, Pablo Augusto
5 Hansen, Jennie C.
5 Holst, Lars
5 Iksanov, Aleksander M.
5 Janson, Svante
5 Koutras, Markos V.
5 Lember, Jüri
5 Makowsky, Johann-Andreas
5 Marynych, Alexander V.
5 Newman, Charles Michael
5 Pittel, Boris G.
5 Ross, Nathan
5 Shao, Qi-Man
5 Spouge, John L.
5 Yakubovich, Yuri V.
5 Yakymiv, Arsen Lubomirovich
4 Albert, Michael Henry
4 Asselah, Amine
4 Chen, Louis Hsiao-Yun
4 Cox, J. Theodore
4 Diaconis, Persi Warren
4 Giuliano, Rita
4 Hoogeboom, Hendrik Jan
4 Kabluchko, Zakhar A.
4 Lebowitz, Joel Louis
4 Nikeghbali, Ashkan
4 Pal, Soumik
4 Pantone, Jay
4 Parker, Matthew Geoffrey
4 Ravishankar, Krishnamurthi
4 Sethuraman, Sunder
4 Sidoravicius, Vladas
4 Stark, Dudley
4 Szpankowski, Wojciech
4 Ueltschi, Daniel
4 Varadhan, S. R. Srinivasa
4 Vatter, Vincent Russell
4 Zhang, Fuxi
3 Aldous, David John
3 Balister, Paul N.
3 Bóna, Miklós
3 Brown, Timothy C.
3 Chatterjee, Sourav
3 Chenavier, Nicolas
3 Daly, Fraser
3 Danielsen, Lars Eirik
3 Dembo, Amir
3 Feng, Shui
3 Fontes, Luiz Renato G.
3 Gravner, Janko
3 Griffeath, David
3 Hauser, Raphael Andreas
3 Jaworski, Jerzy
3 Johnson, Brad C.
3 Johnson, Tobias
3 Karlin, Samuel
3 Kesten, Harry
3 Krahmer, Felix
3 Landim, Claudio
3 Liggett, Thomas Milton
3 Lijoi, Antonio
3 Morris, Robert D.
3 Najnudel, Joseph
3 Norkūnienė, Jolita
3 Peköz, Erol A.
3 Petuchovas, Robertas
3 Prünster, Igor
3 Quintana, Fernando Andrés
3 Reinert, Gesine D.
3 Rinott, Yosef
3 Röllin, Adrian
3 Sarkar, Amites
...and 850 more Authors
all top 5

Cited in 172 Serials

47 The Annals of Probability
45 The Annals of Applied Probability
39 Stochastic Processes and their Applications
29 Journal of Applied Probability
27 Journal of Statistical Physics
23 Probability Theory and Related Fields
21 Statistics & Probability Letters
21 Bernoulli
19 Advances in Applied Probability
18 Random Structures & Algorithms
16 Bulletin of Mathematical Biology
15 Journal of Combinatorial Theory. Series A
15 Advances in Applied Mathematics
15 Combinatorics, Probability and Computing
13 Journal of Statistical Planning and Inference
13 European Journal of Combinatorics
12 Lithuanian Mathematical Journal
11 Discrete Applied Mathematics
11 Journal of Theoretical Probability
9 Discrete Mathematics
9 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
9 Electronic Journal of Probability
8 Communications in Mathematical Physics
8 Theoretical Population Biology
8 Methodology and Computing in Applied Probability
7 The Annals of Statistics
7 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
6 Theoretical Computer Science
6 Transactions of the American Mathematical Society
6 Communications in Statistics. Theory and Methods
5 Israel Journal of Mathematics
5 Journal of Mathematical Analysis and Applications
5 Advances in Mathematics
5 Annals of the Institute of Statistical Mathematics
5 Annals of Combinatorics
5 Probability Surveys
4 Journal of Combinatorial Theory. Series B
4 Algorithmica
4 SIAM Journal on Discrete Mathematics
4 Discrete Mathematics and Applications
4 Linear Algebra and its Applications
4 Journal of Knot Theory and its Ramifications
4 The Electronic Journal of Combinatorics
4 Electronic Communications in Probability
4 Extremes
4 Electronic Journal of Statistics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Theory of Probability and its Applications
3 Annales de l’Institut Fourier
3 Journal of Multivariate Analysis
3 Mathematical and Computer Modelling
3 Designs, Codes and Cryptography
3 Proceedings of the National Academy of Sciences of the United States of America
3 Journal of Algebraic Combinatorics
3 The Ramanujan Journal
3 ALEA. Latin American Journal of Probability and Mathematical Statistics
2 American Mathematical Monthly
2 Computers & Mathematics with Applications
2 Communications on Pure and Applied Mathematics
2 Journal of Mathematical Biology
2 Mathematical Biosciences
2 Mathematical Notes
2 Biometrics
2 Journal of Number Theory
2 Monatshefte für Mathematik
2 Ergodic Theory and Dynamical Systems
2 Mathematical Social Sciences
2 Insurance Mathematics & Economics
2 Sequential Analysis
2 Queueing Systems
2 Games and Economic Behavior
2 Bulletin of the American Mathematical Society. New Series
2 The Australasian Journal of Combinatorics
2 Experimental Mathematics
2 Journal of Mathematical Sciences (New York)
2 Discrete and Continuous Dynamical Systems
2 Journal of High Energy Physics
2 Integers
2 Journal of Statistical Mechanics: Theory and Experiment
1 Biological Cybernetics
1 Indian Journal of Pure & Applied Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Physics
1 Periodica Mathematica Hungarica
1 Psychometrika
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Scandinavian Journal of Statistics
1 Arkiv för Matematik
1 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 Journal of Geometry and Physics
1 Acta Mathematica Vietnamica
1 Archiv der Mathematik
1 Czechoslovak Mathematical Journal
1 Duke Mathematical Journal
1 Functional Analysis and its Applications
1 Indiana University Mathematics Journal
1 Journal of Approximation Theory
1 Journal of Computational and Applied Mathematics
...and 72 more Serials
all top 5

Cited in 45 Fields

509 Probability theory and stochastic processes (60-XX)
215 Combinatorics (05-XX)
131 Statistics (62-XX)
89 Biology and other natural sciences (92-XX)
73 Statistical mechanics, structure of matter (82-XX)
49 Computer science (68-XX)
45 Number theory (11-XX)
20 Numerical analysis (65-XX)
19 Group theory and generalizations (20-XX)
18 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
16 Dynamical systems and ergodic theory (37-XX)
16 Information and communication theory, circuits (94-XX)
12 Operations research, mathematical programming (90-XX)
10 Measure and integration (28-XX)
7 Quantum theory (81-XX)
6 Field theory and polynomials (12-XX)
6 Convex and discrete geometry (52-XX)
6 Manifolds and cell complexes (57-XX)
5 Approximations and expansions (41-XX)
4 General and overarching topics; collections (00-XX)
4 Mathematical logic and foundations (03-XX)
3 Algebraic geometry (14-XX)
3 Real functions (26-XX)
3 Functions of a complex variable (30-XX)
3 Functional analysis (46-XX)
2 History and biography (01-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Special functions (33-XX)
2 Sequences, series, summability (40-XX)
2 Algebraic topology (55-XX)
1 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)
1 \(K\)-theory (19-XX)
1 Topological groups, Lie groups (22-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Ordinary differential equations (34-XX)
1 Difference and functional equations (39-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Operator theory (47-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of particles and systems (70-XX)

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