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Burton, Robert M. jun.

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Author ID: burton.robert-m-jun Recent zbMATH articles by "Burton, Robert M. jun."
Published as: Burton, R.; Burton, R. M.; Burton, R. M. jun.; Burton, Robert; Burton, Robert M.; Burton, Robert M. jun.
Homepage: http://math.oregonstate.edu/people/view/burton
External Links: MGP
Documents Indexed: 52 Publications since 1978

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 599 times in 539 Documents Cited by Year
Density and uniqueness in percolation. Zbl 0662.60113
Burton, R. M.; Keane, M.
134
1989
Local characteristics, entropy and limit theorems for spanning trees and domino tilings via transfer-impedances. Zbl 0785.60007
Burton, Robert; Pemantle, Robin
73
1993
Limit theorems for functionals of mixing processes with applications to \(U\)-statistics and dimension estimation. Zbl 0980.60031
Borovkova, Svetlana; Burton, Robert; Dehling, Herold
53
2001
Large deviations for some weakly dependent random processes. Zbl 0699.60016
Burton, Robert M.; Dehling, Herold
45
1990
Non-uniqueness of measures of maximal entropy for subshifts of finite type. Zbl 0807.58023
Burton, Robert; Steif, Jeffrey E.
29
1994
Strong laws for \(L\)- and \(U\)-statistics. Zbl 0863.60032
Aaronson, J.; Burton, R.; Dehling, H.; Gilat, D.; Hill, T.; Weiss, B.
25
1996
An invariance principle for weakly associated random vectors. Zbl 0611.60028
Burton, Robert M.; Dabrowski, André Robert; Dehling, Herold
25
1986
Ergodic properties of generalized Lüroth series. Zbl 0848.11039
Barrionuevo, Jose; Burton, Robert M.; Dajani, Karma; Kraaikamp, Cor
23
1996
Natural extensions for the Rosen fractions. Zbl 0938.11036
Burton, Robert M.; Kraaikamp, Cornelis; Schmidt, Thomas A.
18
2000
On the central limit theorem for dynamical systems. Zbl 0628.60030
Burton, Robert; Denker, Manfred
17
1987
Scaling limits for associated random measures. Zbl 0579.60039
Burton, Robert; Waymire, Ed
16
1985
On 1-dependent processes and \(k\)-block factors. Zbl 0788.60049
Burton, Robert M.; Goulet, Marc; Meester, Ronald
14
1993
New results on measures of maximal entropy. Zbl 0826.28009
Burton, Robert; Steif, Jeffrey E.
12
1995
Topological and metric properties of infinite clusters in stationary two- dimensional site percolation. Zbl 0757.60102
Burton, R. M.; Keane, M.
10
1991
Consistency of the Takens estimator for the correlation dimension. Zbl 0928.62072
Borovkova, S.; Burton, R.; Dehling, H.
9
1999
Ergodicity of linked twist maps. Zbl 0451.58023
Burton, Robert; Easton, Robert W.
8
1980
Quite weak Bernoulli with exponential rate and percolation for random fields. Zbl 0835.60088
Burton, Robert M.; Steif, Jeffrey E.
7
1995
An \(L_ 2\) convergence theorem for random affine mappings. Zbl 0816.60004
Burton, Robert M.; Rösler, Uwe
7
1995
Second order Dehn functions of groups. Zbl 0913.20020
Alonso, J. M.; Bogley, W. A.; Burton, R. M.; Pride, S. J.; Wang, Xiaofeng
6
1998
Long range percolation in stationary point processes. Zbl 0768.60095
Burton, Robert M.; Meester, Ronald W. J.
6
1993
Stationary measures for randomly chosen maps. Zbl 0764.60067
Burton, Robert M.; Keller, Gerhard
6
1993
Residuality of dynamical morphisms. Zbl 0963.37007
Burton, R. M.; Keane, M. S.; Serafin, Jacek
5
2000
Coupling surfaces and weak Bernoulli in one and higher dimensions. Zbl 0898.60099
Burton, Robert M.; Steif, Jeffrey E.
5
1997
The central limit problem for infinitely divisible random measures. Zbl 0603.60041
Burton, Robert M.; Waymire, Ed
5
1986
Some \(2-d\) symbolic dynamical systems: Entropy and mixing. Zbl 0852.58029
Burton, Robert; Steif, Jeffrey E.
4
1996
An invariance principle for associated random fields. Zbl 0651.60043
Burton, Robert M. jun.; Kim, Tae-Sung
4
1988
A non-Bernoulli skew product which is loosely Bernoulli. Zbl 0437.28008
Burton, Robert M. jun.
4
1980
An asymptotic definition of K-groups of automorphisms and a non- Bernoullian counter-example. Zbl 0379.28011
Burton, Robert M. jun.
4
1979
From dimension estimation to asymptotics of dependent \(U\)-statistics. Zbl 1016.62105
Borovkova, S.; Burton, R.; Dehling, H.
3
2002
A self-organizing cluster process. Zbl 0870.60063
Burton, Robert M.; Faris, William G.
3
1996
A skew-product which is Bernoulli. Zbl 0388.28026
Shields, Paul C.; Burton, Robert
3
1978
Smoothing techniques for prediction of nonlinear time series. Zbl 1330.62335
Borovkova, Svetlana; Burton, Robert; Dehling, Herold
2
1998
Finite state bilaterally deterministic strongly mixing processes. Zbl 0874.60032
Burton, Robert M.; Denker, Manfred; Smorodinsky, Meir
2
1996
When are distributions skewed to the right? Zbl 0798.62020
Burton, R. M.; Keane, M.; O’Brien, G. L.
2
1994
Scaling limits for point random fields. Zbl 0552.60043
Burton, Robert M.; Waymire, Ed.
2
1984
Speedups of ergodic group extensions. Zbl 1275.37005
Babichev, Andrey; Burton, Robert M.; Fieldsteel, Adam
1
2013
One-dimensional Kohonen maps are super-stable with exponential rate. Zbl 0941.60087
Burton, Robert M.; Plaehn, David C.
1
1999
Entropy for random group actions. Zbl 0918.28019
Burton, Robert; Dajani, Karma; Meester, Ronald
1
1998
The variational principle for Gibbs states fails on trees. Zbl 0901.60023
Burton, R. M.; Pfister, C.-E.; Steif, J. E.
1
1995
Positive dependence properties of point processes. Zbl 0712.60054
Burton, Robert M. jun.; Franzosa, Marie M.
1
1990
A sufficient condition for association of a renewal process. Zbl 0608.60084
Burton, Robert M. jun.; Waymire, Ed
1
1986
Pointwise properties of convergence in probability. Zbl 0571.60040
Burton, Robert M.
1
1985
A mixing \(T\) for which \(T-T^{-1}\) is Bernoulli. Zbl 0498.28016
Burton, Robert M.; Shields, Paul C.
1
1983
Speedups of ergodic group extensions. Zbl 1275.37005
Babichev, Andrey; Burton, Robert M.; Fieldsteel, Adam
1
2013
From dimension estimation to asymptotics of dependent \(U\)-statistics. Zbl 1016.62105
Borovkova, S.; Burton, R.; Dehling, H.
3
2002
Limit theorems for functionals of mixing processes with applications to \(U\)-statistics and dimension estimation. Zbl 0980.60031
Borovkova, Svetlana; Burton, Robert; Dehling, Herold
53
2001
Natural extensions for the Rosen fractions. Zbl 0938.11036
Burton, Robert M.; Kraaikamp, Cornelis; Schmidt, Thomas A.
18
2000
Residuality of dynamical morphisms. Zbl 0963.37007
Burton, R. M.; Keane, M. S.; Serafin, Jacek
5
2000
Consistency of the Takens estimator for the correlation dimension. Zbl 0928.62072
Borovkova, S.; Burton, R.; Dehling, H.
9
1999
One-dimensional Kohonen maps are super-stable with exponential rate. Zbl 0941.60087
Burton, Robert M.; Plaehn, David C.
1
1999
Second order Dehn functions of groups. Zbl 0913.20020
Alonso, J. M.; Bogley, W. A.; Burton, R. M.; Pride, S. J.; Wang, Xiaofeng
6
1998
Smoothing techniques for prediction of nonlinear time series. Zbl 1330.62335
Borovkova, Svetlana; Burton, Robert; Dehling, Herold
2
1998
Entropy for random group actions. Zbl 0918.28019
Burton, Robert; Dajani, Karma; Meester, Ronald
1
1998
Coupling surfaces and weak Bernoulli in one and higher dimensions. Zbl 0898.60099
Burton, Robert M.; Steif, Jeffrey E.
5
1997
Strong laws for \(L\)- and \(U\)-statistics. Zbl 0863.60032
Aaronson, J.; Burton, R.; Dehling, H.; Gilat, D.; Hill, T.; Weiss, B.
25
1996
Ergodic properties of generalized Lüroth series. Zbl 0848.11039
Barrionuevo, Jose; Burton, Robert M.; Dajani, Karma; Kraaikamp, Cor
23
1996
Some \(2-d\) symbolic dynamical systems: Entropy and mixing. Zbl 0852.58029
Burton, Robert; Steif, Jeffrey E.
4
1996
A self-organizing cluster process. Zbl 0870.60063
Burton, Robert M.; Faris, William G.
3
1996
Finite state bilaterally deterministic strongly mixing processes. Zbl 0874.60032
Burton, Robert M.; Denker, Manfred; Smorodinsky, Meir
2
1996
New results on measures of maximal entropy. Zbl 0826.28009
Burton, Robert; Steif, Jeffrey E.
12
1995
Quite weak Bernoulli with exponential rate and percolation for random fields. Zbl 0835.60088
Burton, Robert M.; Steif, Jeffrey E.
7
1995
An \(L_ 2\) convergence theorem for random affine mappings. Zbl 0816.60004
Burton, Robert M.; Rösler, Uwe
7
1995
The variational principle for Gibbs states fails on trees. Zbl 0901.60023
Burton, R. M.; Pfister, C.-E.; Steif, J. E.
1
1995
Non-uniqueness of measures of maximal entropy for subshifts of finite type. Zbl 0807.58023
Burton, Robert; Steif, Jeffrey E.
29
1994
When are distributions skewed to the right? Zbl 0798.62020
Burton, R. M.; Keane, M.; O’Brien, G. L.
2
1994
Local characteristics, entropy and limit theorems for spanning trees and domino tilings via transfer-impedances. Zbl 0785.60007
Burton, Robert; Pemantle, Robin
73
1993
On 1-dependent processes and \(k\)-block factors. Zbl 0788.60049
Burton, Robert M.; Goulet, Marc; Meester, Ronald
14
1993
Long range percolation in stationary point processes. Zbl 0768.60095
Burton, Robert M.; Meester, Ronald W. J.
6
1993
Stationary measures for randomly chosen maps. Zbl 0764.60067
Burton, Robert M.; Keller, Gerhard
6
1993
Topological and metric properties of infinite clusters in stationary two- dimensional site percolation. Zbl 0757.60102
Burton, R. M.; Keane, M.
10
1991
Large deviations for some weakly dependent random processes. Zbl 0699.60016
Burton, Robert M.; Dehling, Herold
45
1990
Positive dependence properties of point processes. Zbl 0712.60054
Burton, Robert M. jun.; Franzosa, Marie M.
1
1990
Density and uniqueness in percolation. Zbl 0662.60113
Burton, R. M.; Keane, M.
134
1989
An invariance principle for associated random fields. Zbl 0651.60043
Burton, Robert M. jun.; Kim, Tae-Sung
4
1988
On the central limit theorem for dynamical systems. Zbl 0628.60030
Burton, Robert; Denker, Manfred
17
1987
An invariance principle for weakly associated random vectors. Zbl 0611.60028
Burton, Robert M.; Dabrowski, André Robert; Dehling, Herold
25
1986
The central limit problem for infinitely divisible random measures. Zbl 0603.60041
Burton, Robert M.; Waymire, Ed
5
1986
A sufficient condition for association of a renewal process. Zbl 0608.60084
Burton, Robert M. jun.; Waymire, Ed
1
1986
Scaling limits for associated random measures. Zbl 0579.60039
Burton, Robert; Waymire, Ed
16
1985
Pointwise properties of convergence in probability. Zbl 0571.60040
Burton, Robert M.
1
1985
Scaling limits for point random fields. Zbl 0552.60043
Burton, Robert M.; Waymire, Ed.
2
1984
A mixing \(T\) for which \(T-T^{-1}\) is Bernoulli. Zbl 0498.28016
Burton, Robert M.; Shields, Paul C.
1
1983
Ergodicity of linked twist maps. Zbl 0451.58023
Burton, Robert; Easton, Robert W.
8
1980
A non-Bernoulli skew product which is loosely Bernoulli. Zbl 0437.28008
Burton, Robert M. jun.
4
1980
An asymptotic definition of K-groups of automorphisms and a non- Bernoullian counter-example. Zbl 0379.28011
Burton, Robert M. jun.
4
1979
A skew-product which is Bernoulli. Zbl 0388.28026
Shields, Paul C.; Burton, Robert
3
1978
all top 5

Cited by 683 Authors

14 Dehling, Herold G.
14 Häggström, Olle
14 Hutchcroft, Tom
13 Burton, Robert M. jun.
11 Steif, Jeffrey E.
10 Lyons, Russell
10 Wendler, Martin
8 Duminil-Copin, Hugo
8 Grimmett, Geoffrey R.
8 Kenyon, Richard W.
8 Kraaikamp, Cor
8 Schmidt, Thomas A.
7 Dajani, Karma
7 Dedecker, Jérôme
7 Pavlov, Ronnie
7 Sharipov, Olimjon Sh.
7 Zhang, Li-Xin
6 Kim, Tae-Sung
6 Ko, Mi-Hwa
6 Meester, Ronald W. J.
6 Schramm, Oded
5 Aizenman, Michael
5 Biskup, Marek
5 Chen, Pingyan
5 Durieu, Olivier
5 Keane, Michael S.
5 Meyerovitch, Tom
5 Sidoravicius, Vladas
5 Teixeira, Augusto Quadros
5 Yan, Weigen
4 Coupier, David
4 Holroyd, Alexander E.
4 Nachmias, Asaf
4 Newman, Charles Michael
4 Peres, Yuval
4 Schmidt, Klaus
4 Soo, Terry
4 Sung, Soohak
3 Avena, Luca
3 Benjamini, Itai
3 Berger, Noam
3 Bhaskara Rao, M.
3 Boistard, Hélène
3 Borovkova, Svetlana A.
3 Brady, Noel
3 Dabrowski, André Robert
3 Gaudilliere, Alexandre
3 Haario, Heikki
3 Jakubowski, Adam
3 Járai, Antal A.
3 Jiang, Kan
3 Lévy-Leduc, Céline
3 Li, Shuli
3 Li, Yunxia
3 Liggett, Thomas Milton
3 Moulines, Eric
3 Munday, Sara
3 Pete, Gábor
3 Prieur, Clémentine
3 Quas, Anthony Nicholas
3 Reisen, Valdério Anselmo
3 Rösler, Uwe
3 Sarkar, Anish
3 Shen, Luming
3 Spinka, Yinon
3 Verbitskiy, Evgeny A.
3 Volný, Dalibor
3 Volodin, Andrei I.
3 Wang, Xiangchen
3 Wang, Xuejun
3 Zähle, Henryk
3 Zhang, Zhongzhi
3 Zhou, Xingcai
2 Adamczak, Radosław
2 Alexander, Kenneth S.
2 Alsmeyer, Gerold
2 Andrieu, Christophe
2 Angel, Omer
2 Baek, Jong-Il
2 Beffara, Vincent
2 Berkes, István
2 Björnberg, Jakob Erik
2 Borgs, Christian
2 Borodin, Alexei
2 Bowen, Lewis Phylip
2 Boyarsky, Abraham
2 Broman, Erik Ivar
2 Cai, Guanghui
2 Calta, Kariane
2 Camia, Federico
2 Chayes, Jennifer Tour
2 Cohn, Henry Lee
2 Crawford, Nicholas
2 Damron, Michael
2 Del Moral, Pierre
2 Denker, Manfred
2 Dolgopyat, Dmitry
2 Doucet, Arnaud
2 Doukhan, Paul
2 Erhard, Dirk
...and 583 more Authors
all top 5

Cited in 169 Serials

42 The Annals of Probability
31 Stochastic Processes and their Applications
29 Journal of Statistical Physics
29 Statistics & Probability Letters
26 Probability Theory and Related Fields
15 Communications in Mathematical Physics
14 Ergodic Theory and Dynamical Systems
13 The Annals of Applied Probability
12 Israel Journal of Mathematics
10 Transactions of the American Mathematical Society
10 Journal of Theoretical Probability
9 Journal of Mathematical Analysis and Applications
8 Journal of Multivariate Analysis
7 Journal of Mathematical Physics
7 Journal of the American Mathematical Society
6 Proceedings of the American Mathematical Society
6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
6 Bernoulli
6 Acta Mathematica Sinica. English Series
5 Inventiones Mathematicae
5 Discrete and Continuous Dynamical Systems
5 ALEA. Latin American Journal of Probability and Mathematical Statistics
4 Advances in Applied Probability
4 Journal of Applied Probability
4 Theoretical Computer Science
4 Communications in Statistics. Theory and Methods
4 Indagationes Mathematicae. New Series
4 Journal of Nonparametric Statistics
4 Journal of Inequalities and Applications
4 Journal of the European Mathematical Society (JEMS)
4 Probability Surveys
3 Advances in Mathematics
3 Stochastic Analysis and Applications
3 Statistics
3 Journal de Théorie des Nombres de Bordeaux
3 Fractals
3 Chaos
3 Discrete Dynamics in Nature and Society
3 Econometric Theory
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Stochastics and Dynamics
3 Journal of Modern Dynamics
2 Journal d’Analyse Mathématique
2 Metrika
2 Physica A
2 Physics Reports
2 Chaos, Solitons and Fractals
2 The Annals of Statistics
2 Duke Mathematical Journal
2 Journal of Combinatorial Theory. Series B
2 Journal of Computational and Applied Mathematics
2 Journal of Differential Equations
2 Journal of Econometrics
2 Journal of Functional Analysis
2 Journal of Number Theory
2 Journal of Statistical Planning and Inference
2 Monatshefte für Mathematik
2 Statistica Neerlandica
2 Journal of Time Series Analysis
2 Acta Mathematica Hungarica
2 Random Structures & Algorithms
2 Geometric and Functional Analysis. GAFA
2 Applied Mathematics. Series B (English Edition)
2 Mathematical Methods of Statistics
2 Combinatorics, Probability and Computing
2 Electronic Journal of Probability
2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
2 Geometry & Topology
2 Journal of Group Theory
2 Annals of Mathematics. Second Series
2 Methodology and Computing in Applied Probability
2 Brazilian Journal of Probability and Statistics
2 Discrete and Continuous Dynamical Systems. Series B
2 Analysis in Theory and Applications
2 Journal of Statistical Mechanics: Theory and Experiment
2 Groups, Geometry, and Dynamics
1 The Canadian Journal of Statistics
1 Communications in Algebra
1 Computers & Mathematics with Applications
1 Communications on Pure and Applied Mathematics
1 Discrete Applied Mathematics
1 Discrete Mathematics
1 Lithuanian Mathematical Journal
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nonlinearity
1 Nuclear Physics. B
1 Reviews of Modern Physics
1 Rocky Mountain Journal of Mathematics
1 Studia Mathematica
1 Theoretical and Mathematical Physics
1 Arkiv för Matematik
1 Theory of Probability and its Applications
1 Acta Mathematica
1 Annales de l’Institut Fourier
1 Annals of the Institute of Statistical Mathematics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Applied Mathematics and Computation
1 Czechoslovak Mathematical Journal
1 Publications Mathématiques
...and 69 more Serials
all top 5

Cited in 43 Fields

362 Probability theory and stochastic processes (60-XX)
150 Statistical mechanics, structure of matter (82-XX)
106 Dynamical systems and ergodic theory (37-XX)
83 Statistics (62-XX)
69 Combinatorics (05-XX)
57 Measure and integration (28-XX)
40 Number theory (11-XX)
15 Computer science (68-XX)
13 Group theory and generalizations (20-XX)
9 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 Manifolds and cell complexes (57-XX)
7 General topology (54-XX)
7 Numerical analysis (65-XX)
6 Real functions (26-XX)
6 Ordinary differential equations (34-XX)
6 Convex and discrete geometry (52-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Information and communication theory, circuits (94-XX)
4 Topological groups, Lie groups (22-XX)
4 Functions of a complex variable (30-XX)
4 Quantum theory (81-XX)
3 Partial differential equations (35-XX)
3 Operations research, mathematical programming (90-XX)
2 Mathematical logic and foundations (03-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Abstract harmonic analysis (43-XX)
1 History and biography (01-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Category theory; homological algebra (18-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Integral equations (45-XX)
1 Operator theory (47-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)
1 Mechanics of particles and systems (70-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)
1 Mathematics education (97-XX)

Citations by Year