Edit Profile (opens in new tab) Gray, Lawrence F. Co-Author Distance Author ID: gray.lawrence-f Published as: Gray, Lawrence; Gray, Lawrence F.; Gray, L.; Gray, L. F. more...less Homepage: http://www.math.umn.edu/~grayx004/ External Links: MGP · ResearchGate Documents Indexed: 25 Publications since 1976, including 1 Book 1 Further Contribution Co-Authors: 16 Co-Authors with 16 Joint Publications 489 Co-Co-Authors all top 5 Co-Authors 10 single-authored 4 Bramson, Maury D. 4 Griffeath, David 2 Fristedt, Bert E. 1 Andjel, Enrique Daniel 1 Béguin, Maryse 1 Bezuidenhout, Carol 1 Craiu, Radu V. 1 Flanigan, Francis J. 1 Frank, David L. 1 Kazdan, Jerry L. 1 Latuszynski, Krzysztof 1 Madras, Neal 1 Mukamel, David 1 Roberts, Gareth O. 1 Rosenthal, Jeffrey S. 1 Smythe, Robert T. 1 Wierman, John C. 1 Ycart, Bernard 1 Ziv, G. all top 5 Serials 6 The Annals of Probability 4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 Journal of Statistical Physics 3 The Annals of Applied Probability 2 Journal of Applied Probability 1 Notices of the American Mathematical Society 1 Undergraduate Texts in Mathematics all top 5 Fields 22 Probability theory and stochastic processes (60-XX) 7 Statistical mechanics, structure of matter (82-XX) 3 Computer science (68-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 23 Publications have been cited 238 times in 214 Documents Cited by ▼ Year ▼ A modern approach to probability theory. Zbl 0869.60001 Fristedt, Bert; Gray, Lawrence 90 1997 The ergodic theory of traffic jams. Zbl 1048.90066 Gray, Lawrence; Griffeath, David 22 2001 A reader’s guide to P. Gacs’s “positive rates” paper: “Reliable cellular automata with self-organization”. Zbl 1135.82317 Gray, Lawrence F. 15 2001 Critical attractive spin systems. Zbl 0819.60094 Bezuidenhout, Carol; Gray, Lawrence 12 1994 The survival of branching annihilating random walk. Zbl 0537.60099 Bramson, Maury; Gray, Lawrence 11 1985 A mathematician looks at S. Wolfram’s new kind of science. Zbl 1136.37300 Gray, Lawrence 10 2003 A useful renormalization argument. Zbl 0745.60103 Bramson, Maury; Gray, Lawrence 10 1991 Duality for general attractive spin systems with applications in one dimension. Zbl 0604.60098 Gray, Lawrence 8 1986 Controlled spin-flip systems. Zbl 0392.60084 Gray, Lawrence 8 1978 The positive rates problem for attractive nearest neighbor spin systems on Z. Zbl 0479.60098 Gray, Lawrence F. 6 1982 A stability criterion for attractive nearest neighbor spin systems on Z. Zbl 0483.60090 Gray, Lawrence; Griffeath, David 6 1982 Toom’s stability theorem in continuous time. Zbl 0948.60093 Gray, Lawrence F. 6 1999 Stability of adversarial Markov chains, with an application to adaptive MCMC algorithms. Zbl 1328.60169 Craiu, Radu V.; Gray, Lawrence; Łatuszyński, Krzysztof; Madras, Neal; Roberts, Gareth O.; Rosenthal, Jeffrey S. 6 2015 A note on the survival of the long-range contact process. Zbl 0467.60090 Bramson, Maury; Gray, Lawrence 5 1981 On the uniqueness of certain interacting particle systems. Zbl 0316.60067 Gray, Lawrence; Griffeath, David 5 1976 Lower bounds for the critical probability in percolation models with oriented bonds. Zbl 0464.60098 Gray, Lawrence; Wierman, John C.; Smythe, R. T. 5 1980 On the uniqueness and nonuniqueness of proximity processes. Zbl 0411.60099 Gray, Lawrence; Griffeath, David 4 1977 Phase transitions in traffic models. Zbl 1077.82535 Levine, E.; Ziv, G.; Gray, L.; Mukamel, D. 2 2004 Is the contact process dead? Zbl 0734.60103 Gray, Lawrence F. 2 1991 Extreme paths in oriented two-dimensional percolation. Zbl 1343.60134 Andjel, E. D.; Gray, L. F. 2 2016 The behavior of processes with statistical mechanical properties. Zbl 0644.60105 Gray, Lawrence 1 1987 The critical behavior of a class of simple interacting systems - A few answers and a lot of questions. Zbl 0565.60083 Gray, Lawrence 1 1985 Translation invariant spin-flip processes and nonuniqueness. Zbl 0406.60085 Gray, Lawrence F. 1 1980 Extreme paths in oriented two-dimensional percolation. Zbl 1343.60134 Andjel, E. D.; Gray, L. F. 2 2016 Stability of adversarial Markov chains, with an application to adaptive MCMC algorithms. Zbl 1328.60169 Craiu, Radu V.; Gray, Lawrence; Łatuszyński, Krzysztof; Madras, Neal; Roberts, Gareth O.; Rosenthal, Jeffrey S. 6 2015 Phase transitions in traffic models. Zbl 1077.82535 Levine, E.; Ziv, G.; Gray, L.; Mukamel, D. 2 2004 A mathematician looks at S. Wolfram’s new kind of science. Zbl 1136.37300 Gray, Lawrence 10 2003 The ergodic theory of traffic jams. Zbl 1048.90066 Gray, Lawrence; Griffeath, David 22 2001 A reader’s guide to P. Gacs’s “positive rates” paper: “Reliable cellular automata with self-organization”. Zbl 1135.82317 Gray, Lawrence F. 15 2001 Toom’s stability theorem in continuous time. Zbl 0948.60093 Gray, Lawrence F. 6 1999 A modern approach to probability theory. Zbl 0869.60001 Fristedt, Bert; Gray, Lawrence 90 1997 Critical attractive spin systems. Zbl 0819.60094 Bezuidenhout, Carol; Gray, Lawrence 12 1994 A useful renormalization argument. Zbl 0745.60103 Bramson, Maury; Gray, Lawrence 10 1991 Is the contact process dead? Zbl 0734.60103 Gray, Lawrence F. 2 1991 The behavior of processes with statistical mechanical properties. Zbl 0644.60105 Gray, Lawrence 1 1987 Duality for general attractive spin systems with applications in one dimension. Zbl 0604.60098 Gray, Lawrence 8 1986 The survival of branching annihilating random walk. Zbl 0537.60099 Bramson, Maury; Gray, Lawrence 11 1985 The critical behavior of a class of simple interacting systems - A few answers and a lot of questions. Zbl 0565.60083 Gray, Lawrence 1 1985 The positive rates problem for attractive nearest neighbor spin systems on Z. Zbl 0479.60098 Gray, Lawrence F. 6 1982 A stability criterion for attractive nearest neighbor spin systems on Z. Zbl 0483.60090 Gray, Lawrence; Griffeath, David 6 1982 A note on the survival of the long-range contact process. Zbl 0467.60090 Bramson, Maury; Gray, Lawrence 5 1981 Lower bounds for the critical probability in percolation models with oriented bonds. Zbl 0464.60098 Gray, Lawrence; Wierman, John C.; Smythe, R. T. 5 1980 Translation invariant spin-flip processes and nonuniqueness. Zbl 0406.60085 Gray, Lawrence F. 1 1980 Controlled spin-flip systems. Zbl 0392.60084 Gray, Lawrence 8 1978 On the uniqueness and nonuniqueness of proximity processes. Zbl 0411.60099 Gray, Lawrence; Griffeath, David 4 1977 On the uniqueness of certain interacting particle systems. Zbl 0316.60067 Gray, Lawrence; Griffeath, David 5 1976 all cited Publications top 5 cited Publications all top 5 Cited by 317 Authors 7 Regazzini, Eugenio 6 Durrett, Richard Timothy 5 Gray, Lawrence F. 5 Tatashev, Alexander Gennadjevich 5 Vélez Ibarrola, Ricardo 4 Blank, Michael 4 Bramson, Maury D. 4 Lebowitz, Joel Louis 4 Marcovici, Irène 4 Presnell, Brett 4 Prieto-Rumeau, Tomás 4 Schonmann, Roberto Henrique 4 Sturm, Anja K. 4 Yashina, Marina Viktorovna 3 Bassetti, Federico 3 Ferrari, Pablo Augusto 3 Giurcanu, Mihai C. 3 Griffeath, David 3 Grigoriu, Mircea Dan 3 Hartarsky, Ivailo 3 Ladelli, Lucia 3 Liggett, Thomas Milton 3 Mountford, Thomas S. 3 Rosenthal, Jeffrey S. 3 Sudbury, Aidan 2 Andjel, Enrique Daniel 2 Balister, Paul N. 2 Bollobás, Béla 2 Bugaev, A. S. 2 Burdzy, Krzysztof 2 Canet, Léonie 2 Coletti, Cristian F. 2 Feinberg, Eugene Aleksandrovich 2 Gabetta, Ester 2 Gravner, Janko 2 Holroyd, Alexander E. 2 Hunter, David Scott 2 Kim, Yongdai 2 Lee, Jaeyong 2 Lijoi, Antonio 2 Mairesse, Jean 2 Mezić, Igor 2 Neuhauser, Claudia 2 Perversi, Eleonora 2 Posta, Gustavo 2 Privault, Nicolas 2 Ravishankar, Krishnamurthi 2 Schweinsberg, Jason Ross 2 Steif, Jeffrey E. 2 Swart, Jan M. 2 Teel, Andrew Richard 2 Toom, Andrei 2 Tóth, Bálint 2 Tzioufas, Achillefs 2 van Enter, Aernout C. D. 2 Yang, Jinyoung 2 Zaman, Tauhid 1 Ahlberg, Daniel 1 Alili, Smail 1 Aoki, Masanao 1 Bahadoran, Christophe 1 Banks, Harvey Thomas 1 Barbarino, Giovanni 1 Bédard, Myléne 1 Belitsky, Vladimir 1 Bertazzi, Andrea 1 Bertein, Francoise 1 Bertini, Lorenzo Bertini 1 Bessonov, Mariya 1 Bethuelsen, Stein Andreas 1 Bianchi, Davide 1 Bierkens, Joris 1 Bonomi, Andrea 1 Bortz, David M. 1 Bottai, Matteo 1 Breton, Jean-Christophe 1 Bušić, Ana 1 Buslaev, Aleksandr Pavlovich 1 Cáceres, Fredy Castellares 1 Campbell, Earl T. 1 Cancrini, Nicoletta 1 Çapuni, Ilir 1 Caputo, Pietro 1 Cardon, David A. 1 Casanova, Adrián González 1 Casse, Jérôme 1 Chen, Dayue 1 Chen, Jinwen 1 Chidyagwai, Prince 1 Cocozza-Thivent, Christiane 1 Cornu, Françoise 1 Cotar, Codina 1 Craiu, Radu V. 1 Crawford, Nicholas 1 Dai, Yonglong 1 Dauphinais, Guillaume 1 De Bock, Jasper 1 De Gregorio, Alessandro 1 de Lima, Bernardo N. B. 1 De Roeck, Wojciech ...and 217 more Authors all top 5 Cited in 92 Serials 21 Journal of Statistical Physics 12 Stochastic Processes and their Applications 11 The Annals of Probability 8 Probability Theory and Related Fields 8 The Annals of Applied Probability 7 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 6 Advances in Applied Probability 6 Journal of Applied Probability 4 Electronic Journal of Probability 4 Bernoulli 3 Journal of Mathematical Analysis and Applications 3 The Annals of Statistics 3 Automatica 3 Journal of Statistical Planning and Inference 3 Journal of Theoretical Probability 3 Test 3 Electronic Communications in Probability 3 Journal of Statistical Mechanics: Theory and Experiment 2 Journal of Computational Physics 2 Problems of Information Transmission 2 Chaos, Solitons and Fractals 2 Journal of Computer and System Sciences 2 Operations Research 2 Proceedings of the American Mathematical Society 2 Theoretical Computer Science 2 Statistics & Probability Letters 2 Physica D 2 Random Structures & Algorithms 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Acta Mathematica Sinica. New Series 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Economic Theory 2 Journal of Inverse and Ill-Posed Problems 2 Mathematical Methods of Operations Research 2 Methodology and Computing in Applied Probability 2 Oberwolfach Reports 2 Journal of Computational and Graphical Statistics 1 Communications in Mathematical Physics 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Physics Reports 1 Journal of Geometry and Physics 1 Inventiones Mathematicae 1 Journal of Economic Theory 1 Journal of Mathematical Psychology 1 Memoirs of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 Operations Research Letters 1 Acta Applicandae Mathematicae 1 Social Choice and Welfare 1 International Journal of Approximate Reasoning 1 Journal of Cryptology 1 Queueing Systems 1 Economics Letters 1 Computational Statistics 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Automation and Remote Control 1 Communications in Statistics. Theory and Methods 1 International Journal of Computer Mathematics 1 SIAM Journal on Applied Mathematics 1 Expositiones Mathematicae 1 Distributed Computing 1 Mathematical Programming. Series A. Series B 1 Journal of Computer and Systems Sciences International 1 Calculus of Variations and Partial Differential Equations 1 Theory of Probability and Mathematical Statistics 1 Advances in Computational Mathematics 1 Australian & New Zealand Journal of Statistics 1 Chaos 1 New Journal of Physics 1 CEJOR. Central European Journal of Operations Research 1 Annales Henri Poincaré 1 Brazilian Journal of Probability and Statistics 1 International Journal of Modern Physics C 1 Scandinavian Actuarial Journal 1 Matematicheskoe Modelirovanie 1 Natural Computing 1 SIAM Journal on Applied Dynamical Systems 1 Statistical Methods and Applications 1 Bulletin of the American Mathematical Society 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Journal of Mathematical Inequalities 1 The Annals of Applied Statistics 1 The Review of Symbolic Logic 1 ISRN Probability and Statistics 1 SIAM/ASA Journal on Uncertainty Quantification 1 Annales Henri Lebesgue 1 Russian Journal of Nonlinear Dynamics all top 5 Cited in 40 Fields 137 Probability theory and stochastic processes (60-XX) 59 Statistical mechanics, structure of matter (82-XX) 26 Dynamical systems and ergodic theory (37-XX) 23 Statistics (62-XX) 21 Computer science (68-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Operations research, mathematical programming (90-XX) 13 Biology and other natural sciences (92-XX) 12 Numerical analysis (65-XX) 9 Partial differential equations (35-XX) 7 Combinatorics (05-XX) 7 Systems theory; control (93-XX) 5 General and overarching topics; collections (00-XX) 5 Number theory (11-XX) 4 Fluid mechanics (76-XX) 4 Quantum theory (81-XX) 3 Ordinary differential equations (34-XX) 3 Information and communication theory, circuits (94-XX) 2 Mathematical logic and foundations (03-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Sequences, series, summability (40-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year