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Maier, Robert S.

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 Author ID: maier.robert-s Published as: Maier, Robert; Maier, Robert S. Homepage: http://math.arizona.edu/~rsm/ External Links: MGP · Wikidata · ORCID
 Documents Indexed: 37 Publications since 1986, including 2 Books
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Co-Authors

 27 single-authored 4 Stein, Daniel L. 2 Faris, William G. 1 Dominici, Diego Ernesto 1 Downey, Peter J. 1 Lladser, Manuel E. 1 Mishna, Marni 1 O’Cinneide, Colm Art 1 Rechnitzer, Andrew Daniel
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Serials

 3 Journal of Statistical Physics 2 Journal of Differential Equations 2 Transactions of the American Mathematical Society 2 Random Structures & Algorithms 2 Contemporary Mathematics 1 Advances in Applied Probability 1 Mathematics of Computation 1 Advances in Mathematics 1 Journal of Applied Probability 1 Journal of Computational and Applied Mathematics 1 Manuscripta Mathematica 1 Advances in Applied Mathematics 1 Communications in Statistics. Stochastic Models 1 Journal of Complexity 1 Constructive Approximation 1 Complex Systems 1 Journal of the Ramanujan Mathematical Society 1 SIAM Journal on Applied Mathematics 1 Integral Transforms and Special Functions 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Physical Review Letters 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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Fields

 15 Special functions (33-XX) 15 Probability theory and stochastic processes (60-XX) 9 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Computer science (68-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Combinatorics (05-XX) 3 Number theory (11-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Partial differential equations (35-XX) 2 Quantum theory (81-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations contained in zbMATH

29 Publications have been cited 218 times in 191 Documents Cited by Year
Limiting exit location distributions in the stochastic exit problem. Zbl 0874.60072
Maier, Robert S.; Stein, Daniel L.
1997
On reducing the Heun equation to the hypergeometric equation. Zbl 1085.34035
Maier, Robert S.
2005
On rationally parametrized modular equations. Zbl 1214.11049
Maier, Robert S.
2009
A scaling theory of bifurcations in the symmetric weak-noise escape problem. Zbl 1081.82583
Maier, Robert S.; Stein, D. L.
1996
The 192 solutions of the Heun equation. Zbl 1118.34084
Maier, Robert S.
2007
Lamé polynomials, hyperelliptic reductions and Lamé band structure. Zbl 1153.37425
Maier, Robert S.
2008
P-symbols, Heun identities, and $$_3F_2$$ identities. Zbl 1185.33028
Maier, Robert S.
2008
Nonlinear differential equations satisfied by certain classical modular forms. Zbl 1221.11105
Maier, Robert S.
2011
A generalization of Euler’s hypergeometric transformation. Zbl 1078.33004
Maier, Robert S.
2006
The algebraic construction of phase-type distributions. Zbl 0741.60011
Maier, Robert S.
1991
Colliding stacks: A large deviations analysis. Zbl 0737.60097
Maier, Robert S.
1991
Oscillatory behavior of the rate of escape through an unstable limit cycle. Zbl 1042.37519
Maier, Robert S.; Stein, D. L.
1996
Algebraic hypergeometric transformations of modular origin. Zbl 1145.11034
Maier, Robert S.
2007
A closure characterisation of phase-type distributions. Zbl 0758.60064
Maier, Robert S.; O’Cinneide, Colm Art
1992
The integration of three-dimensional Lotka-Volterra systems. Zbl 1371.34003
Maier, Robert S.
2013
Algebraic solutions of the Lamé equation, revisited. Zbl 1082.34078
Maier, Robert S.
2004
On crossing event formulas in critical two-dimensional percolation. Zbl 1033.60095
Maier, Robert S.
2003
The value of a random game: The advantage of rationality. Zbl 0654.90100
Faris, William G.; Maier, Robert S.
1987
Legendre functions of fractional degree: transformations and evaluations. Zbl 1371.33024
Maier, Robert S.
2016
The uniformization of certain algebraic hypergeometric functions. Zbl 1292.33007
Maier, Robert S.
2014
Large fluctuations in stochastically perturbed nonlinear systems: Applications in computing. Zbl 0869.60105
Maier, Robert S.
1993
Phase-type distributions and the structure of finite Markov chains. Zbl 0778.60007
Maier, Robert S.
1993
Orderings arising from expected extremes, with an application. Zbl 1400.60074
Downey, Peter J.; Maier, Robert S.
1992
A path integral approach to data structure evolution. Zbl 0735.60104
Maier, Robert S.
1991
Bounds on the density of states of random Schrödinger operators. Zbl 1084.82512
Maier, Robert S.
1987
Extensions of the classical transformations of the hypergeometric function $${}_3F_2$$. Zbl 1409.33006
Maier, Robert S.
2019
Integrals of Lipschitz-Hankel type, Legendre functions and table errata. Zbl 1377.33005
Maier, Robert S.
2016
Algorithmic probability and combinatorics. Papers from the AMS special sessions, Chicago, IL, USA, October 5–6, 2007 and Vancouver, BC, Canada, October 4–5, 2008. Zbl 1193.00063
Lladser, Manuel E. (ed.); Maier, Robert S. (ed.); Mishna, Marni (ed.); Rechnitzer, Andrew (ed.)
2010
The density of states of random Schrödinger operators. Zbl 0669.60060
Maier, Robert
1986
Extensions of the classical transformations of the hypergeometric function $${}_3F_2$$. Zbl 1409.33006
Maier, Robert S.
2019
Legendre functions of fractional degree: transformations and evaluations. Zbl 1371.33024
Maier, Robert S.
2016
Integrals of Lipschitz-Hankel type, Legendre functions and table errata. Zbl 1377.33005
Maier, Robert S.
2016
The uniformization of certain algebraic hypergeometric functions. Zbl 1292.33007
Maier, Robert S.
2014
The integration of three-dimensional Lotka-Volterra systems. Zbl 1371.34003
Maier, Robert S.
2013
Nonlinear differential equations satisfied by certain classical modular forms. Zbl 1221.11105
Maier, Robert S.
2011
Algorithmic probability and combinatorics. Papers from the AMS special sessions, Chicago, IL, USA, October 5–6, 2007 and Vancouver, BC, Canada, October 4–5, 2008. Zbl 1193.00063
Lladser, Manuel E. (ed.); Maier, Robert S. (ed.); Mishna, Marni (ed.); Rechnitzer, Andrew (ed.)
2010
On rationally parametrized modular equations. Zbl 1214.11049
Maier, Robert S.
2009
Lamé polynomials, hyperelliptic reductions and Lamé band structure. Zbl 1153.37425
Maier, Robert S.
2008
P-symbols, Heun identities, and $$_3F_2$$ identities. Zbl 1185.33028
Maier, Robert S.
2008
The 192 solutions of the Heun equation. Zbl 1118.34084
Maier, Robert S.
2007
Algebraic hypergeometric transformations of modular origin. Zbl 1145.11034
Maier, Robert S.
2007
A generalization of Euler’s hypergeometric transformation. Zbl 1078.33004
Maier, Robert S.
2006
On reducing the Heun equation to the hypergeometric equation. Zbl 1085.34035
Maier, Robert S.
2005
Algebraic solutions of the Lamé equation, revisited. Zbl 1082.34078
Maier, Robert S.
2004
On crossing event formulas in critical two-dimensional percolation. Zbl 1033.60095
Maier, Robert S.
2003
Limiting exit location distributions in the stochastic exit problem. Zbl 0874.60072
Maier, Robert S.; Stein, Daniel L.
1997
A scaling theory of bifurcations in the symmetric weak-noise escape problem. Zbl 1081.82583
Maier, Robert S.; Stein, D. L.
1996
Oscillatory behavior of the rate of escape through an unstable limit cycle. Zbl 1042.37519
Maier, Robert S.; Stein, D. L.
1996
Large fluctuations in stochastically perturbed nonlinear systems: Applications in computing. Zbl 0869.60105
Maier, Robert S.
1993
Phase-type distributions and the structure of finite Markov chains. Zbl 0778.60007
Maier, Robert S.
1993
A closure characterisation of phase-type distributions. Zbl 0758.60064
Maier, Robert S.; O’Cinneide, Colm Art
1992
Orderings arising from expected extremes, with an application. Zbl 1400.60074
Downey, Peter J.; Maier, Robert S.
1992
The algebraic construction of phase-type distributions. Zbl 0741.60011
Maier, Robert S.
1991
Colliding stacks: A large deviations analysis. Zbl 0737.60097
Maier, Robert S.
1991
A path integral approach to data structure evolution. Zbl 0735.60104
Maier, Robert S.
1991
The value of a random game: The advantage of rationality. Zbl 0654.90100
Faris, William G.; Maier, Robert S.
1987
Bounds on the density of states of random Schrödinger operators. Zbl 1084.82512
Maier, Robert S.
1987
The density of states of random Schrödinger operators. Zbl 0669.60060
Maier, Robert
1986
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Cited by 313 Authors

 8 Ishkhanyan, Artur Michaĭlovich 8 Maier, Robert S. 6 Luchinsky, D. G. 5 Brezhnev, Yurii V. 5 Lin, Chang-Shou 5 Liu, Xianbin 5 Mannella, Riccardo 5 McClintock, Peter Vaughan Elsmere 4 Chen, Zhijie 4 Li, Yang 4 Lozano-Robledo, Álvaro 4 Maillard, Jean-Marie 4 Vanden-Eijnden, Eric 3 Bovier, Anton 3 Bressloff, Paul C. 3 Chu, Wenchang 3 Cooper, Shaun 3 Li, Nadia Na 3 Paris, Richard Bruce 2 Abdelaziz, Y. 2 Arrayás, Manuel 2 Bostan, Alin 2 Bouchet, Freddy 2 Boukraa, Salah 2 Cameron, Maria Kourkina 2 Chakravarty, Sarbarish 2 Chen, Chiun-Chuan 2 Christiansen, Hugo R. 2 Cunha, M. S. 2 Delarue, François 2 Duhr, Claude 2 Dykman, Mark I. 2 Filipuk, Galina V. 2 González-Jiménez, Enrique 2 Guerrero, Pilar 2 Hortaçsu, M. 2 Huber, Tim 2 Hung, Li-Chang 2 Ishkhanyan, T. A. 2 Kaufman, I. Kh. 2 Klein, Abel 2 Kuo, Ting-Jung 2 Lelièvre, Tony 2 Letac, Gérard G. 2 Linnik, T. L. 2 Louchard, Guy 2 Miller, Allen Richard 2 Piccioni, Mauro 2 Rasa, Ioan 2 Sangüesa, Carmen 2 Schott, René 2 Schwartz, Ira Bruce 2 Sezer, Ali Devin 2 Sheka, V. I. 2 Smelyanskiy, Vadim N. 2 Soskin, S. M. 2 Stein, Daniel L. 2 Zhou, Jie 2 Zudilin, Wadim 1 Abarenkova, Nina 1 Ablowitz, Mark Jay 1 Abreu, Samuel 1 Akar, Nail 1 Aksenova, E. A. 1 Alarcón, Teresa E. M. 1 Alarcón, Tomás 1 Aleman, Alexandru 1 Alhaidari, Abdulaziz D. 1 Ariel, Gil 1 Arnold, Peter B. 1 Asci, Claudio 1 Ashok, Sujay K. 1 Atai, Farrokh 1 Atapour, Mahshid 1 Bachas, Constantin P. 1 Bag, Bidhan Chandra 1 Baigent, Stephen A. 1 Bărar, Adina Elena 1 Başar, Gökçe 1 Batic, Davide 1 Baura, Alendu 1 Becchetti, Matteo 1 Benincasa, Paolo 1 Bercu, Bernard 1 Beri, Stefano 1 Bertini, Lorenzo Bertini 1 Bihun, Oksana 1 Birkandan, Tolga 1 Bloch, Spencer J. 1 Blower, Gordon 1 Boonserm, Petarpa 1 Borcea, Julius 1 Bou-Rabee, Nawaf M. 1 Bourget, Alain 1 Brandl, Florian 1 Byrne, Helen Mary 1 Campanino, Massimo 1 Candezano, Miguel A. C. 1 Cárcamo, Javier 1 Cesarano, Clemente ...and 213 more Authors
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Cited in 95 Serials

 9 Journal of High Energy Physics 8 Journal of Mathematical Analysis and Applications 8 Journal of Mathematical Physics 8 Chaos 7 Journal of Statistical Physics 6 Stochastic Models 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Communications in Mathematical Physics 5 Journal of Differential Equations 5 Integral Transforms and Special Functions 4 Journal of Computational and Applied Mathematics 4 Physica D 4 The Ramanujan Journal 4 Journal of Physics A: Mathematical and Theoretical 3 Applied Mathematics and Computation 3 Journal of Applied Probability 3 Journal of Number Theory 3 Constructive Approximation 3 Advances in High Energy Physics 2 Journal of Mathematical Biology 2 Mathematics of Computation 2 The Annals of Probability 2 Mathematische Zeitschrift 2 Osaka Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Theoretical Computer Science 2 Probability Theory and Related Fields 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Journal of Nonlinear Science 2 Journal of Statistical Mechanics: Theory and Experiment 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 The Journal of Mathematical Neuroscience 1 International Journal of Modern Physics B 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 International Journal of Control 1 Mathematical Notes 1 Physica A 1 Physics Reports 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 Applied Mathematics and Optimization 1 International Journal of Game Theory 1 Journal of Approximation Theory 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Studies in Applied Mathematics 1 Theoretical Population Biology 1 Statistics & Probability Letters 1 Computers & Operations Research 1 Annals of Operations Research 1 Random Structures & Algorithms 1 The Annals of Applied Probability 1 Discrete Mathematics and Applications 1 Games and Economic Behavior 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 SIAM Journal on Applied Mathematics 1 Stochastic Processes and their Applications 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Indagationes Mathematicae. New Series 1 Combinatorics, Probability and Computing 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Economic Theory 1 Finite Fields and their Applications 1 The Electronic Journal of Combinatorics 1 Bernoulli 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Chemistry 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Nonlinear Science and Numerical Simulation 1 Methodology and Computing in Applied Probability 1 Lobachevskii Journal of Mathematics 1 Annales Henri Poincaré 1 Physical Review Letters 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of the Australian Mathematical Society 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Multiscale Modeling & Simulation 1 Acta Numerica 1 Journal of Biological Dynamics 1 Mathematical Modelling of Natural Phenomena 1 Advances in Mathematical Physics 1 Cryptography and Communications 1 Axioms 1 Journal of Classical Analysis 1 Annals of PDE 1 Journal de l’École Polytechnique – Mathématiques 1 Research in Number Theory
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Cited in 36 Fields

 57 Special functions (33-XX) 54 Probability theory and stochastic processes (60-XX) 43 Ordinary differential equations (34-XX) 25 Number theory (11-XX) 23 Statistical mechanics, structure of matter (82-XX) 22 Partial differential equations (35-XX) 22 Quantum theory (81-XX) 18 Dynamical systems and ergodic theory (37-XX) 16 Algebraic geometry (14-XX) 12 Biology and other natural sciences (92-XX) 10 Numerical analysis (65-XX) 8 Statistics (62-XX) 8 Relativity and gravitational theory (83-XX) 6 Combinatorics (05-XX) 6 Computer science (68-XX) 6 Systems theory; control (93-XX) 5 Functions of a complex variable (30-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Operator theory (47-XX) 2 Group theory and generalizations (20-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 2 Manifolds and cell complexes (57-XX) 2 Optics, electromagnetic theory (78-XX) 2 Operations research, mathematical programming (90-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX)

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