## Orey, Steven

Compute Distance To:
 Author ID: orey.steven Published as: Orey, Steven; Orey, S.
 Documents Indexed: 59 Publications since 1955, including 1 Book Biographic References: 1 Publication Co-Authors: 21 Co-Authors with 25 Joint Publications 388 Co-Co-Authors
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### Co-Authors

 34 single-authored 4 Jain, Naresh C. 4 Jamison, Benton 2 Anderson, Robert F. V. 2 Pelikan, Stephan 2 Pestien, Victor C. 2 Pruitt, William E. 2 Sudderth, William D. 1 Cranston, Michael Craig 1 Feferman, Solomon 1 Feller, William 1 Föllmer, Hans 1 Fristedt, Bert E. 1 Garsia, Adriano M. 1 Heath, David C. 1 Kingman, John Frank Charles 1 Knight, Frank Bardsley 1 Kreisel, Georg 1 Rodemich, Eugene R. 1 Rösler, Uwe 1 Sethna, P. R. 1 Taylor, Samuel James
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### Serials

 5 The Annals of Probability 5 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 4 Transactions of the American Mathematical Society 3 The Journal of Symbolic Logic 3 Proceedings of the American Mathematical Society 3 Journal of Mathematics and Mechanics 2 Israel Journal of Mathematics 2 Journal of Mathematical Analysis and Applications 2 Stochastics 2 Duke Mathematical Journal 2 SIAM Journal on Control and Optimization 2 Bulletin of the American Mathematical Society 2 Annals of Mathematical Statistics 1 Archiv für Mathematische Logik und Grundlagenforschung 1 International Journal of Non-Linear Mechanics 1 Illinois Journal of Mathematics 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Zeitschrift für Mathematische Logik und Grundlagen der Mathematik
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### Fields

 31 Probability theory and stochastic processes (60-XX) 3 Systems theory; control (93-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

53 Publications have been cited 898 times in 823 Documents Cited by Year
Lecture notes on limit theorems for Markov chain transition probabilities. Zbl 0295.60054
Orey, Steven
1971
Sample functions of the $$N$$-parameter Wiener process. Zbl 0284.60036
Orey, Steven; Pruitt, William E.
1973
Convergence of weighted averages of independent random variables. Zbl 0141.16404
Jamison, B.; Orey, S.; Pruitt, W.
1965
Large deviations for the empirical field of a Gibbs measure. Zbl 0648.60028
Föllmer, Hans; Orey, Steven
1988
How often on a Brownian path does the law of iterated logarithm fail? Zbl 0292.60128
Orey, Steven; Taylor, S. James
1974
A central limit theorem for $$m$$-dependent random variables. Zbl 0107.13403
Orey, S.
1958
Small random perturbation of dynamical systems with reflecting boundary. Zbl 0324.60063
Anderson, Robert F.; Orey, Steven
1976
Recurrent Markov chains. Zbl 0095.32902
Orey, S.
1959
Markov chains recurrent in the sense of Harris. Zbl 0153.19802
Jamison, B.; Orey, S.
1967
Markov chains with stochastically stationary transition probabilities. Zbl 0735.60040
Orey, Steven
1991
On the range of random walk. Zbl 0181.20901
Jain, N.; Orey, S.
1969
Gaussian sample functions and the Hausdorff dimension of level crossings. Zbl 0196.19402
Orey, Steven
1970
Deviations of trajectory averages and the defect in Pesin’s formula for Anosov diffeomorphisms. Zbl 0691.60022
Orey, Steven; Pelikan, Stephan
1989
Strong ratio limit property. Zbl 0109.11801
Orey, S.
1961
Large deviation principles for stationary processes. Zbl 0659.60051
Orey, Steven; Pelikan, Stephan
1988
A renewal theorem. Zbl 0096.33401
Feller, William; Orey, S.
1961
Relative interpretations. Zbl 0121.25501
Orey, S.
1961
Minimizing or maximizing the expected time to reach zero. Zbl 0613.93067
Heath, D.; Orey, S.; Pestien, V.; Sudderth, W.
1987
On continuity properties of infinitely distribution functions. Zbl 0172.22101
Orey, S.
1968
An ergodic theorem for Markov chains. Zbl 0109.36302
Orey, S.
1962
Change of time scale for Markov processes. Zbl 0102.14003
Orey, Steven
1961
Conditions for the absolute continuity of two diffusions. Zbl 0303.60071
Orey, Steven
1974
F-processes. Zbl 0201.49902
Orey, S.
1967
Reaching zero rapidly. Zbl 0637.93080
Orey, Steven; Pestien, Victor; Sudderth, William
1987
Domains of partial attraction and tightness conditions. Zbl 0442.60050
Jain, Naresh C.; Orey, Steven
1980
On $$\omega$$-consistency and related properties. Zbl 0071.00801
Orey, Steven
1956
Polar sets for processes with stationary independent increments. Zbl 0308.60040
Orey, Steven
1967
Some properties of random walk paths. Zbl 0265.60062
Jain, Naresh C.; Orey, S.
1973
Ratio limit theorems for Markov chains. Zbl 0131.16701
Kingman, J. F. C.; Orey, S.
1964
The tail $$\sigma$$-field of one dimensional diffusions. Zbl 0444.60062
Fristedt, Bert; Orey, Steven
1978
Tail events for sums of independent random variables. Zbl 0158.35302
Orey, S.
1966
Large deviations in ergodic theory. Zbl 0585.60039
Orey, Steven
1986
Subgroups of sequences and paths. Zbl 0254.60024
Jamison, B.; Orey, S.
1970
Large deviations for the empirical field of Curie-Weiss models. Zbl 0657.60040
Orey, Steven
1988
Model theory for the higher order predicate calculus. Zbl 0088.01004
Orey, Steven
1959
Asymptotic behavior of successive coefficients of some power series. Zbl 0107.28103
Garsia, A. M.; Orey, S.; Rodemich, E.
1962
Sums arising in the theory of Markov chains. Zbl 0109.11704
Orey, Steven
1961
Potential kernels for recurrent Markov chains. Zbl 0137.11803
Orey, S.
1964
New foundations and the axiom of counting. Zbl 0143.00903
Orey, S.
1964
On the Shannon-Perez-Moy theorem. Zbl 0567.60036
Orey, Steven
1985
The Martin boundary of two dimensional Ornstein-Uhlenbeck processes. Zbl 0513.60073
Cranston, M.; Orey, S.; Roesler, U.
1983
Construction of a Markov process from hitting probabilities. Zbl 0128.37804
Knight, F.; Orey, S.
1964
Stationary solutions for linear systems with additive noise. Zbl 0469.60056
Orey, Steven
1981
1-consistency and faithful interpretations. Zbl 0122.24502
Feferman, S.; Kreisel, Georg; Orey, S.
1962
Growth rate of Gaussian processes with stationary increments. Zbl 0312.60019
Orey, Steven
1970
Probabilistic methods in partial differential equations. Zbl 0588.35086
Orey, Steven
1982
Diffusion on the line and additive functionals of Brownian motion. Zbl 0443.60076
Orey, Steven
1977
Growth rate of certain Gaussian processes. Zbl 0284.60035
Orey, Steven
1972
Formal development of ordinal number theory. Zbl 0067.25301
Orey, Steven
1955
Vague convergence of sums of independent random variables. Zbl 0425.60004
Jain, Naresh C.; Orey, Steven
1979
Some asymptotic results for a class of stochastic systems with parametric excitations. Zbl 0453.60059
Sethna, P. R.; Orey, S.
1980
On the relative consistency of set theory. Zbl 0073.25201
Orey, Steven
1956
Small random perturbations of dynamical systems with reflecting boundary. Zbl 0387.60091
Anderson, R. F.; Orey, Steven
1977
Markov chains with stochastically stationary transition probabilities. Zbl 0735.60040
Orey, Steven
1991
Deviations of trajectory averages and the defect in Pesin’s formula for Anosov diffeomorphisms. Zbl 0691.60022
Orey, Steven; Pelikan, Stephan
1989
Large deviations for the empirical field of a Gibbs measure. Zbl 0648.60028
Föllmer, Hans; Orey, Steven
1988
Large deviation principles for stationary processes. Zbl 0659.60051
Orey, Steven; Pelikan, Stephan
1988
Large deviations for the empirical field of Curie-Weiss models. Zbl 0657.60040
Orey, Steven
1988
Minimizing or maximizing the expected time to reach zero. Zbl 0613.93067
Heath, D.; Orey, S.; Pestien, V.; Sudderth, W.
1987
Reaching zero rapidly. Zbl 0637.93080
Orey, Steven; Pestien, Victor; Sudderth, William
1987
Large deviations in ergodic theory. Zbl 0585.60039
Orey, Steven
1986
On the Shannon-Perez-Moy theorem. Zbl 0567.60036
Orey, Steven
1985
The Martin boundary of two dimensional Ornstein-Uhlenbeck processes. Zbl 0513.60073
Cranston, M.; Orey, S.; Roesler, U.
1983
Probabilistic methods in partial differential equations. Zbl 0588.35086
Orey, Steven
1982
Stationary solutions for linear systems with additive noise. Zbl 0469.60056
Orey, Steven
1981
Domains of partial attraction and tightness conditions. Zbl 0442.60050
Jain, Naresh C.; Orey, Steven
1980
Some asymptotic results for a class of stochastic systems with parametric excitations. Zbl 0453.60059
Sethna, P. R.; Orey, S.
1980
Vague convergence of sums of independent random variables. Zbl 0425.60004
Jain, Naresh C.; Orey, Steven
1979
The tail $$\sigma$$-field of one dimensional diffusions. Zbl 0444.60062
Fristedt, Bert; Orey, Steven
1978
Diffusion on the line and additive functionals of Brownian motion. Zbl 0443.60076
Orey, Steven
1977
Small random perturbations of dynamical systems with reflecting boundary. Zbl 0387.60091
Anderson, R. F.; Orey, Steven
1977
Small random perturbation of dynamical systems with reflecting boundary. Zbl 0324.60063
Anderson, Robert F.; Orey, Steven
1976
How often on a Brownian path does the law of iterated logarithm fail? Zbl 0292.60128
Orey, Steven; Taylor, S. James
1974
Conditions for the absolute continuity of two diffusions. Zbl 0303.60071
Orey, Steven
1974
Sample functions of the $$N$$-parameter Wiener process. Zbl 0284.60036
Orey, Steven; Pruitt, William E.
1973
Some properties of random walk paths. Zbl 0265.60062
Jain, Naresh C.; Orey, S.
1973
Growth rate of certain Gaussian processes. Zbl 0284.60035
Orey, Steven
1972
Lecture notes on limit theorems for Markov chain transition probabilities. Zbl 0295.60054
Orey, Steven
1971
Gaussian sample functions and the Hausdorff dimension of level crossings. Zbl 0196.19402
Orey, Steven
1970
Subgroups of sequences and paths. Zbl 0254.60024
Jamison, B.; Orey, S.
1970
Growth rate of Gaussian processes with stationary increments. Zbl 0312.60019
Orey, Steven
1970
On the range of random walk. Zbl 0181.20901
Jain, N.; Orey, S.
1969
On continuity properties of infinitely distribution functions. Zbl 0172.22101
Orey, S.
1968
Markov chains recurrent in the sense of Harris. Zbl 0153.19802
Jamison, B.; Orey, S.
1967
F-processes. Zbl 0201.49902
Orey, S.
1967
Polar sets for processes with stationary independent increments. Zbl 0308.60040
Orey, Steven
1967
Tail events for sums of independent random variables. Zbl 0158.35302
Orey, S.
1966
Convergence of weighted averages of independent random variables. Zbl 0141.16404
Jamison, B.; Orey, S.; Pruitt, W.
1965
Ratio limit theorems for Markov chains. Zbl 0131.16701
Kingman, J. F. C.; Orey, S.
1964
Potential kernels for recurrent Markov chains. Zbl 0137.11803
Orey, S.
1964
New foundations and the axiom of counting. Zbl 0143.00903
Orey, S.
1964
Construction of a Markov process from hitting probabilities. Zbl 0128.37804
Knight, F.; Orey, S.
1964
An ergodic theorem for Markov chains. Zbl 0109.36302
Orey, S.
1962
Asymptotic behavior of successive coefficients of some power series. Zbl 0107.28103
Garsia, A. M.; Orey, S.; Rodemich, E.
1962
1-consistency and faithful interpretations. Zbl 0122.24502
Feferman, S.; Kreisel, Georg; Orey, S.
1962
Strong ratio limit property. Zbl 0109.11801
Orey, S.
1961
A renewal theorem. Zbl 0096.33401
Feller, William; Orey, S.
1961
Relative interpretations. Zbl 0121.25501
Orey, S.
1961
Change of time scale for Markov processes. Zbl 0102.14003
Orey, Steven
1961
Sums arising in the theory of Markov chains. Zbl 0109.11704
Orey, Steven
1961
Recurrent Markov chains. Zbl 0095.32902
Orey, S.
1959
Model theory for the higher order predicate calculus. Zbl 0088.01004
Orey, Steven
1959
A central limit theorem for $$m$$-dependent random variables. Zbl 0107.13403
Orey, S.
1958
On $$\omega$$-consistency and related properties. Zbl 0071.00801
Orey, Steven
1956
On the relative consistency of set theory. Zbl 0073.25201
Orey, Steven
1956
Formal development of ordinal number theory. Zbl 0067.25301
Orey, Steven
1955
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### Cited by 948 Authors

 13 Xiao, Yimin 8 Dette, Holger 8 Khoshnevisan, Davar 8 Lin, Michael 8 Orey, Steven 7 Dalang, Robert C. 7 Nummelin, Esa 7 Sucheston, Louis 7 Takahasi, Hiroki 7 Weber, Michel Jean Georges 6 Ellis, Richard Salisbury 6 Hu, Dihe 6 Jain, Naresh C. 6 Kifer, Yuri 6 Lin, Zhengyan 6 Nagaev, Sergey Victorovich 5 Cohn, Harry 5 Hawkes, John 5 Schapira, Bruno 5 Tweedie, Richard Lewis 4 Asselah, Amine 4 Berkes, István 4 Budhiraja, Amarjit S. 4 Chen, Xia 4 Cheng, Zongmao 4 Comets, Francis M. 4 Foguel, Shaul R. 4 Jamison, Benton 4 McDonald, David R. 4 Mountford, Thomas S. 4 Mukhamedov, Farruh Maksutovich 4 Ney, Peter E. 4 Pakes, Anthony G. 4 Seppäläinen, Timo 4 Shi, Zhan 4 Shur, Mikhail Grigoryevtsh 4 Taylor, Samuel James 4 Tran, Lanh Tat 4 Visser, Albert 4 Wihstutz, Volker 3 Atar, Rami 3 Athreya, Krishna Balasundaram 3 Bayraktar, Erhan 3 Bramson, Maury D. 3 Chung, Yong Moo 3 Cinlar, Erhan 3 Csörgő, Sándor 3 Cygan, Wojciech 3 Dutta, Prajit K. 3 Einmahl, John H. J. 3 Feferman, Solomon 3 Herbin, Erick 3 Hernández-Lerma, Onésimo 3 Hu, Xiaoyu 3 Kendall, Wilfrid S. 3 Kingman, John Frank Charles 3 Leblé, Thomas 3 Melbourne, Ian 3 Munk, Axel 3 Norvaiša, Rimas 3 Peres, Yuval 3 Perkins, Edwin A. 3 Podvigin, Ivan Viktorovich 3 Pruitt, William E. 3 Ramanan, Kavita 3 Ren, Jiagang 3 Révész, Pál 3 Revuz, Daniel 3 Rey-Bellet, Luc 3 Rosenthal, Jeffrey S. 3 Rösler, Uwe 3 Shieh, Narn-Rueih 3 Sung, Soohak 3 Young, Virginia R. 3 Zhang, Li-Xin 2 Aaronson, Jon 2 Aase, Knut Kristian 2 Aida, Shigeki 2 Alsmeyer, Gerold 2 Bai, Shuyang 2 Barral, Julien 2 Baxter, John Robert 2 Ben Arous, Gérard 2 Berbee, H. C. P. 2 Berman, Simeon M. 2 Bhaskara Rao, M. 2 Bhattacharya, Rabi N. 2 Bradley, Richard C. jun. 2 Brennan, Michael D. 2 Bryc, Włodzimierz 2 Choi, Yong-Kab 2 Climenhaga, Vaughn 2 Cogburn, Robert 2 Corbier, Christophe 2 Cox, J. Theodore 2 Cranston, Michael Craig 2 Csáki, Endre 2 Cuesta, Juan Antonio 2 Day, Martin V. 2 Dembo, Amir ...and 848 more Authors
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### Cited in 213 Serials

 76 Stochastic Processes and their Applications 70 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 35 The Annals of Probability 35 Probability Theory and Related Fields 31 Transactions of the American Mathematical Society 29 Statistics & Probability Letters 21 Israel Journal of Mathematics 20 Journal of Multivariate Analysis 17 Journal of Theoretical Probability 14 Journal of Mathematical Analysis and Applications 14 The Journal of Symbolic Logic 13 Communications in Mathematical Physics 13 Proceedings of the American Mathematical Society 13 The Annals of Applied Probability 13 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 12 Journal of Statistical Physics 10 Lithuanian Mathematical Journal 7 Communications in Statistics. Theory and Methods 6 Journal of Soviet Mathematics 6 Bernoulli 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Metrika 5 Advances in Mathematics 5 Journal of Functional Analysis 5 Ergodic Theory and Dynamical Systems 5 Acta Applicandae Mathematicae 5 Wuhan University Journal of Natural Sciences (WUJNS) 4 Advances in Applied Probability 4 Mathematical Notes 4 Periodica Mathematica Hungarica 4 Acta Mathematica 4 Annales de l’Institut Fourier 4 The Annals of Statistics 4 Duke Mathematical Journal 4 Inventiones Mathematicae 4 Mathematische Nachrichten 4 Insurance Mathematics & Economics 4 Stochastic Analysis and Applications 4 Acta Mathematicae Applicatae Sinica. English Series 4 Queueing Systems 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 Doklady Mathematics 4 Journal of Inequalities and Applications 4 Acta Mathematica Sinica. English Series 4 Stochastics and Dynamics 4 Stochastics 4 Bulletin of the American Mathematical Society 3 The Canadian Journal of Statistics 3 Stochastics 3 Arkiv för Matematik 3 Theory of Probability and its Applications 3 Czechoslovak Mathematical Journal 3 Theoretical Population Biology 3 Physica D 3 Journal of Economic Dynamics & Control 3 Science in China. Series A 3 Annals of Operations Research 3 Chinese Science Bulletin 3 Journal of Mathematical Sciences (New York) 3 Electronic Communications in Probability 3 Extremes 3 Probability in the Engineering and Informational Sciences 3 Scandinavian Actuarial Journal 2 Archiv für Mathematische Logik und Grundlagenforschung 2 Bulletin of the Australian Mathematical Society 2 Communications on Pure and Applied Mathematics 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Biology 2 Nonlinearity 2 Reviews in Mathematical Physics 2 Applied Mathematics and Optimization 2 Bulletin de la Société Mathématique de France 2 Compositio Mathematica 2 Journal of Applied Probability 2 Journal of Computational and Applied Mathematics 2 Journal of Economic Theory 2 Journal of the Mathematical Society of Japan 2 Journal of Statistical Planning and Inference 2 Mathematische Zeitschrift 2 Notre Dame Journal of Formal Logic 2 Proceedings of the Japan Academy. Series A 2 Siberian Mathematical Journal 2 Studia Logica 2 Theoretical Computer Science 2 Tôhoku Mathematical Journal. Second Series 2 Applied Mathematics and Mechanics. (English Edition) 2 International Journal of Adaptive Control and Signal Processing 2 Bulletin of the American Mathematical Society. New Series 2 Stochastics and Stochastics Reports 2 Indagationes Mathematicae. New Series 2 Test 2 Physics of Fluids 2 Annales Mathématiques Blaise Pascal 2 Economic Theory 2 Electronic Journal of Probability 2 Discrete and Continuous Dynamical Systems 2 Journal of Nonparametric Statistics 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 2 Journal of Systems Science and Complexity 2 Stochastic Models ...and 113 more Serials
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### Cited in 41 Fields

 631 Probability theory and stochastic processes (60-XX) 71 Statistics (62-XX) 56 Dynamical systems and ergodic theory (37-XX) 53 Measure and integration (28-XX) 53 Statistical mechanics, structure of matter (82-XX) 35 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 33 Mathematical logic and foundations (03-XX) 29 Operator theory (47-XX) 27 Systems theory; control (93-XX) 26 Operations research, mathematical programming (90-XX) 20 Partial differential equations (35-XX) 15 Functional analysis (46-XX) 15 Biology and other natural sciences (92-XX) 14 Numerical analysis (65-XX) 13 Potential theory (31-XX) 10 Real functions (26-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Number theory (11-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Fluid mechanics (76-XX) 8 Computer science (68-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Combinatorics (05-XX) 6 Ordinary differential equations (34-XX) 4 Abstract harmonic analysis (43-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Information and communication theory, circuits (94-XX) 3 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Integral transforms, operational calculus (44-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 1 Nonassociative rings and algebras (17-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX)