## Holley, Richard A.

Compute Distance To:
 Author ID: holley.richard-a Published as: Holley, Richard; Holley, Richard A.; Holley, R.; Holley, R. A. more...less External Links: MGP
 Documents Indexed: 42 Publications since 1969 Co-Authors: 7 Co-Authors with 23 Joint Publications 233 Co-Co-Authors
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### Co-Authors

 19 single-authored 17 Stroock, Daniel W. 3 Liggett, Thomas Milton 1 Aizenman, Michael 1 Kusuoka, Shigeo 1 Malitz, Jerome I. 1 Malitz, Seth M. 1 Waymire, Edward C.
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### Serials

 6 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 4 The Annals of Probability 3 Communications in Mathematical Physics 2 Advances in Mathematics 2 Journal of Functional Analysis 1 Advances in Applied Probability 1 Journal of Statistical Physics 1 Rocky Mountain Journal of Mathematics 1 Acta Mathematica 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Discrete & Computational Geometry 1 The Annals of Applied Probability 1 Resenhas do Instituto do Matemática e Estatística da Universidade de São Paulo 1 Annals of Mathematics. Second Series 1 Annals of Mathematical Statistics
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### Fields

 37 Probability theory and stochastic processes (60-XX) 6 Statistical mechanics, structure of matter (82-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Fluid mechanics (76-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX)

### Citations contained in zbMATH Open

34 Publications have been cited 938 times in 766 Documents Cited by Year
Ergodic theorems for weakly interacting infinite systems and the voter model. Zbl 0367.60115
Holley, Richard A.; Liggett, Thomas M.
1975
Logarithmic Sobolev inequalities and stochastic Ising models. Zbl 0682.60109
Holley, Richard; Stroock, Daniel
1987
Generalized Ornstein-Uhlenbeck processes and infinite particle branching Brownian motions. Zbl 0412.60065
Holley, Richard A.; Stroock, Daniel W.
1978
Asymptotics of the spectral gap with applications to the theory of simulated annealing. Zbl 0706.58075
Holley, Richard A.; Kusuoka, Shigeo; Stroock, Daniel W.
1989
Simulated annealing via Sobolev inequalities. Zbl 0643.60092
Holley, Richard; Stroock, Daniel
1988
Multifractal dimensions and scaling exponents for stronlgy bounded random cascades. Zbl 0786.60064
Holley, Richard; Waymire, Edward C.
1992
Diffusions on an infinite dimensional torus. Zbl 0501.58039
Holley, R.; Stroock, Daniel W.
1981
Generalized potlatch and smoothing processes. Zbl 0441.60096
Holley, Richard; Liggett, Thomas M.
1981
Free energy in a Markovian model of a lattice spin system. Zbl 0241.60096
Holley, Richard
1971
A class of interactions in an infinite particle system. Zbl 0219.60054
Holley, R.
1970
Nearest neighbor birth and death processes on the real line. Zbl 0405.60090
Holley, R. A.; Stroock, Daniel W.
1978
Rapid convergence to equilibrium of stochastic Ising models in the Dobrushin Shlosman regime. Zbl 0621.60118
Aizenman, M.; Holley, R.
1987
A martingale approach to infinite systems of interacting processes. Zbl 0332.60072
Holley, Richard A.; Stroock, Daniel W.
1976
$$L_2$$ theory for the stochastic Ising model. Zbl 0332.60073
Holley, Richard A.; Stroock, Daniel W.
1976
An ergodic theorem for interacting systems with attractive interactions. Zbl 0251.60066
Holley, Richard
1972
The survival of contact processes. Zbl 0375.60111
Holley, R.; Liggett, T. M.
1978
Uniform and $$L^ 2$$ convergence in one dimensional stochastic Ising models. Zbl 0666.60104
Holley, Richard A.; Stroock, Daniel W.
1989
Rapid convergence to equilibrium in one dimensional stochastic Ising models. Zbl 0558.60077
Holley, Richard
1985
Central limit phenomena of various interacting systems. Zbl 0393.60018
Holley, Richard A.; Stroock, Daniel W.
1979
Dual processes and their application to infinite interacting systems. Zbl 0459.60097
Holley, Richard A.; Stroock, Daniel W.
1979
Possible rates of convergence in finite range, attractive spin systems. Zbl 0577.60099
Holley, Richard
1985
Markovian interaction processes with finite range interactions. Zbl 0257.60035
Holley, Richard
1972
The solution of a heavy particle in an infinite one dimensional gas of hard spheres. Zbl 0204.51104
Holley, R.
1971
Recent results on the stochastic Ising model. Zbl 0341.60048
Holley, Richard
1974
The D.L.R. conditions for translation invariant Gaussian measures on $$\mathfrak S'(R^d)$$. Zbl 0442.60052
Holley, Richard A.; Stroock, Daniel W.
1980
On the asymptotics of the spin-spin autocorrelation function in stochastic Ising models near the critical temperature. Zbl 0747.60094
Holley, Richard
1991
The motion of a large particle. Zbl 0188.23303
Holley, R.
1969
The motion of a heavy particle in an infinite ond dimensional gas of hard spheres. Zbl 0195.47801
Holley, Richard
1971
Generalized Ornstein-Uhlenbeck processes as limits of interacting systems. Zbl 0463.60086
Holley, Richard A.; Stroock, Daniel W.
1981
Pressure and Helmholtz fre e energy in a dynamic model of a lattice gas. Zbl 0257.60037
Holley, Richard
1972
Applications of dual processes to diffusion theory. Zbl 0382.60081
Holley, Richard A.; Stroock, Daniel W.; Williams, D.
1977
Invariance principles for some infinite particle systems. Zbl 0444.60097
Holley, Richard A.; Stroock, Daniel W.
1978
Convergence in $$L^ 2$$ of stochastic Ising models: Jump processes and diffusions. Zbl 0554.60096
Holley, Richard
1984
Rescaling short range interacting stochastic processes in higher dimensions. Zbl 0486.60097
Holley, R.; Stroock, Daniel W.
1981
Multifractal dimensions and scaling exponents for stronlgy bounded random cascades. Zbl 0786.60064
Holley, Richard; Waymire, Edward C.
1992
On the asymptotics of the spin-spin autocorrelation function in stochastic Ising models near the critical temperature. Zbl 0747.60094
Holley, Richard
1991
Asymptotics of the spectral gap with applications to the theory of simulated annealing. Zbl 0706.58075
Holley, Richard A.; Kusuoka, Shigeo; Stroock, Daniel W.
1989
Uniform and $$L^ 2$$ convergence in one dimensional stochastic Ising models. Zbl 0666.60104
Holley, Richard A.; Stroock, Daniel W.
1989
Simulated annealing via Sobolev inequalities. Zbl 0643.60092
Holley, Richard; Stroock, Daniel
1988
Logarithmic Sobolev inequalities and stochastic Ising models. Zbl 0682.60109
Holley, Richard; Stroock, Daniel
1987
Rapid convergence to equilibrium of stochastic Ising models in the Dobrushin Shlosman regime. Zbl 0621.60118
Aizenman, M.; Holley, R.
1987
Rapid convergence to equilibrium in one dimensional stochastic Ising models. Zbl 0558.60077
Holley, Richard
1985
Possible rates of convergence in finite range, attractive spin systems. Zbl 0577.60099
Holley, Richard
1985
Convergence in $$L^ 2$$ of stochastic Ising models: Jump processes and diffusions. Zbl 0554.60096
Holley, Richard
1984
Diffusions on an infinite dimensional torus. Zbl 0501.58039
Holley, R.; Stroock, Daniel W.
1981
Generalized potlatch and smoothing processes. Zbl 0441.60096
Holley, Richard; Liggett, Thomas M.
1981
Generalized Ornstein-Uhlenbeck processes as limits of interacting systems. Zbl 0463.60086
Holley, Richard A.; Stroock, Daniel W.
1981
Rescaling short range interacting stochastic processes in higher dimensions. Zbl 0486.60097
Holley, R.; Stroock, Daniel W.
1981
The D.L.R. conditions for translation invariant Gaussian measures on $$\mathfrak S'(R^d)$$. Zbl 0442.60052
Holley, Richard A.; Stroock, Daniel W.
1980
Central limit phenomena of various interacting systems. Zbl 0393.60018
Holley, Richard A.; Stroock, Daniel W.
1979
Dual processes and their application to infinite interacting systems. Zbl 0459.60097
Holley, Richard A.; Stroock, Daniel W.
1979
Generalized Ornstein-Uhlenbeck processes and infinite particle branching Brownian motions. Zbl 0412.60065
Holley, Richard A.; Stroock, Daniel W.
1978
Nearest neighbor birth and death processes on the real line. Zbl 0405.60090
Holley, R. A.; Stroock, Daniel W.
1978
The survival of contact processes. Zbl 0375.60111
Holley, R.; Liggett, T. M.
1978
Invariance principles for some infinite particle systems. Zbl 0444.60097
Holley, Richard A.; Stroock, Daniel W.
1978
Applications of dual processes to diffusion theory. Zbl 0382.60081
Holley, Richard A.; Stroock, Daniel W.; Williams, D.
1977
A martingale approach to infinite systems of interacting processes. Zbl 0332.60072
Holley, Richard A.; Stroock, Daniel W.
1976
$$L_2$$ theory for the stochastic Ising model. Zbl 0332.60073
Holley, Richard A.; Stroock, Daniel W.
1976
Ergodic theorems for weakly interacting infinite systems and the voter model. Zbl 0367.60115
Holley, Richard A.; Liggett, Thomas M.
1975
Recent results on the stochastic Ising model. Zbl 0341.60048
Holley, Richard
1974
An ergodic theorem for interacting systems with attractive interactions. Zbl 0251.60066
Holley, Richard
1972
Markovian interaction processes with finite range interactions. Zbl 0257.60035
Holley, Richard
1972
Pressure and Helmholtz fre e energy in a dynamic model of a lattice gas. Zbl 0257.60037
Holley, Richard
1972
Free energy in a Markovian model of a lattice spin system. Zbl 0241.60096
Holley, Richard
1971
The solution of a heavy particle in an infinite one dimensional gas of hard spheres. Zbl 0204.51104
Holley, R.
1971
The motion of a heavy particle in an infinite ond dimensional gas of hard spheres. Zbl 0195.47801
Holley, Richard
1971
A class of interactions in an infinite particle system. Zbl 0219.60054
Holley, R.
1970
The motion of a large particle. Zbl 0188.23303
Holley, R.
1969
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### Cited by 911 Authors

 24 Kondrat’yev, Yuriĭ Grygorovych 16 Stroock, Daniel W. 16 Zegarlinski, Boguslaw 15 Lanchier, Nicolas 15 Röckner, Michael 14 Albeverio, Sergio A. 14 Barral, Julien 14 Holley, Richard A. 14 Liggett, Thomas Milton 13 Durrett, Richard Timothy 11 Bojdecki, Tomasz 11 Miclo, Laurent 10 Gorostiza, Luis G. 9 Griffeath, David 8 Dawson, Donald Andrew 8 Lebowitz, Joel Louis 8 Neuhauser, Claudia 8 Xue, Xiaofeng 7 Cocozza-Thivent, Christiane 7 Sullivan, Wayne G. 6 Dolbeault, Jean 6 Gonçalves, Patrícia C. 6 Kutoviy, Oleksandr V. 6 Lubetzky, Eyal 6 Martinelli, Fabio 6 Menz, Georg 6 Olivieri, Enzo 6 Spitzer, Frank L. 6 Waymire, Edward C. 5 Andjel, Enrique Daniel 5 Attia, Najmeddine 5 Bramson, Maury D. 5 Chen, Mu-Fa 5 Finkelshteĭn, Dmitriĭ Leonidovich 5 Jakubowski, Jacek 5 Jara, Milton D. 5 Landim, Claudio 5 Lelièvre, Tony 5 Maes, Christian 5 Otto, Felix 5 Pasurek, Tatiana 5 Pinasco, Juan Pablo 4 Blower, Gordon 4 Cox, J. Theodore 4 Daletskii, Alexei 4 Deuschel, Jean-Dominique 4 Gong, Guanglu 4 Khalil, Nagi 4 Le Peutrec, Dorian 4 Mountford, Thomas S. 4 Qian, Minping 4 Roussignol, Michel 4 Saintier, Nicolas 4 Schonmann, Roberto Henrique 4 Seuret, Stéphane 4 Shlosman, Senya B. 4 Sly, Allan 4 Talarczyk, Anna 4 Wang, Feng-Yu 4 Wang, Jun 4 Yau, Horng-Tzer 4 Yoshida, Nobuo 4 Zhizhina, Elena Anatol’evna 3 Aida, Shigeki 3 Arnold, Anton 3 Caputo, Pietro 3 Cheng, Chun 3 De Masi, Anna 3 Di Gesù, Giacomo 3 Diaconis, Persi Warren 3 Ferrari, Pablo Augusto 3 Franco, Tertuliano 3 Frigerio, Alberto 3 Funaki, Tadahisa 3 Galves, Antonio 3 Gray, Lawrence F. 3 Greven, Andreas 3 Grillo, Gabriele 3 Grothaus, Martin 3 Jahnel, Benedikt 3 Jin, Xiong 3 Kipnis, Claude P. 3 Külske, Christof 3 Li, Xingyu 3 Lin, Zhengyan 3 Liu, Quansheng 3 Liu, Yun 3 Löwe, Matthias 3 Markowich, Peter Alexander 3 Minlos, Robert Adol’fovich 3 Molchan, George M. 3 Nectoux, Boris 3 Olvera-Cravioto, Mariana 3 Pareschi, Lorenzo 3 Pavlyukevich, Ilya 3 Peres, Yuval 3 Redig, Frank 3 Rösler, Uwe 3 Saloff-Coste, Laurent 3 Schlichting, André ...and 811 more Authors
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### Cited in 178 Serials

 58 Journal of Statistical Physics 57 Stochastic Processes and their Applications 50 Communications in Mathematical Physics 42 Probability Theory and Related Fields 39 Journal of Functional Analysis 35 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 33 The Annals of Applied Probability 31 The Annals of Probability 21 Physica A 14 Transactions of the American Mathematical Society 12 Journal of Theoretical Probability 11 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 10 Infinite Dimensional Analysis, Quantum Probability and Related Topics 7 Advances in Mathematics 7 Journal of Applied Probability 7 Journal of Multivariate Analysis 7 Stochastic Analysis and Applications 7 Electronic Journal of Probability 7 Journal of Theoretical Biology 6 Journal of Mathematical Analysis and Applications 6 Journal of Mathematical Physics 6 Chaos, Solitons and Fractals 6 The Journal of Mathematical Sociology 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 6 Bernoulli 6 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 5 Reviews in Mathematical Physics 5 Applied Mathematics and Optimization 5 Journal of Soviet Mathematics 5 Theoretical Population Biology 5 Statistics & Probability Letters 5 Acta Mathematica Sinica. New Series 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 ALEA. Latin American Journal of Probability and Mathematical Statistics 4 Advances in Applied Probability 4 Journal of Mathematical Biology 4 Advances in Applied Mathematics 4 Acta Applicandae Mathematicae 4 Annales Henri Poincaré 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Statistical Mechanics: Theory and Experiment 3 Archive for Rational Mechanics and Analysis 3 Mathematical Notes 3 Stochastics 3 Information Sciences 3 Physica D 3 Chinese Science Bulletin 3 Electronic Communications in Probability 3 Stochastic Models 3 Multiscale Modeling & Simulation 3 Stochastics 2 The Canadian Journal of Statistics 2 Communications on Pure and Applied Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Nonlinearity 2 Transport Theory and Statistical Physics 2 Bulletin of Mathematical Biology 2 Acta Mathematica 2 The Annals of Statistics 2 Applied Mathematics and Computation 2 Automatica 2 Inventiones Mathematicae 2 Mathematische Nachrichten 2 Mathematical Systems Theory 2 Mathematische Zeitschrift 2 Nagoya Mathematical Journal 2 Operations Research 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Control and Optimization 2 Theoretical Computer Science 2 Science in China. Series A 2 Communications in Partial Differential Equations 2 Proceedings of the National Academy of Sciences of the United States of America 2 Bulletin of the American Mathematical Society. New Series 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Potential Analysis 2 Chaos 2 Journal of Applied Statistics 2 Communications in Nonlinear Science and Numerical Simulation 2 International Journal of Modern Physics C 2 Internet Mathematics 2 Journal of Probability and Statistics 1 Computers & Mathematics with Applications 1 International Journal of Engineering Science 1 Information Processing Letters 1 Journal of Computational Physics 1 Journal of the Franklin Institute 1 Letters in Mathematical Physics 1 Mathematical Biosciences 1 Reports on Mathematical Physics 1 Studia Mathematica 1 Theoretical and Mathematical Physics 1 Mathematics of Computation 1 Dissertationes Mathematicae 1 Duke Mathematical Journal 1 Integral Equations and Operator Theory 1 Journal of the American Statistical Association 1 Journal of Approximation Theory ...and 78 more Serials
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### Cited in 39 Fields

 568 Probability theory and stochastic processes (60-XX) 215 Statistical mechanics, structure of matter (82-XX) 74 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 61 Partial differential equations (35-XX) 48 Biology and other natural sciences (92-XX) 45 Operator theory (47-XX) 35 Dynamical systems and ergodic theory (37-XX) 34 Measure and integration (28-XX) 31 Functional analysis (46-XX) 31 Computer science (68-XX) 26 Global analysis, analysis on manifolds (58-XX) 25 Numerical analysis (65-XX) 25 Operations research, mathematical programming (90-XX) 23 Quantum theory (81-XX) 22 Combinatorics (05-XX) 17 Fluid mechanics (76-XX) 17 Systems theory; control (93-XX) 16 Statistics (62-XX) 13 Real functions (26-XX) 7 Ordinary differential equations (34-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Mechanics of particles and systems (70-XX) 6 Difference and functional equations (39-XX) 5 Potential theory (31-XX) 5 Information and communication theory, circuits (94-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Approximations and expansions (41-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Number theory (11-XX) 3 Abstract harmonic analysis (43-XX) 2 Mathematical logic and foundations (03-XX) 2 Topological groups, Lie groups (22-XX) 2 Differential geometry (53-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX)