Edit Profile (opens in new tab) Toom, A. L. Co-Author Distance Author ID: toom.a-l Published as: Toom, A. L. Documents Indexed: 20 Publications since 1963 3 Contributions as Editor · 1 Further Contribution Co-Authors: 4 Co-Authors with 4 Joint Publications 133 Co-Co-Authors all top 5 Co-Authors 10 single-authored 3 Dobrushin, Roland L’vovich 3 Kryukov, Vitaly I. 1 Abdulla-Zade, F. G. 1 Borisyuk, Galina N. 1 Borisyuk, Roman M. 1 de Santana, Luís H. 1 Kirillov, Alexandr B. 1 Komarov, A. S. 1 Kovalenko, E. I. 1 Leontovich, Aleksandr Mikhaĭlovich 1 Mityushin, L. G. 1 Petrovskaya, M. B. 1 Piatetski-Shapiro, Ilya 1 Ramos, Alex D. 1 Shnirman, M. G. 1 Silva, F. S. G. 1 Sousa, Calitéia S. 1 Stavskaya, O. N. 1 Terletskiĭ, Yu. A. 1 Tsirelson, Boris all top 5 Serials 6 Journal of Statistical Physics 4 Problemy Peredachi Informatsii 1 Doklady Akademii Nauk SSSR 1 Journal of Mathematical Physics 1 Izvestiya Akademii Nauk SSSR. Tekhnicheskaya Kibernetika 1 Soviet Mathematics. Doklady 1 Selecta Mathematica Sovietica 1 Automation and Remote Control 1 Markov Processes and Related Fields 1 Brazilian Journal of Probability and Statistics 1 Lecture Notes in Mathematics all top 5 Fields 7 Probability theory and stochastic processes (60-XX) 7 Computer science (68-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Biology and other natural sciences (92-XX) 3 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 15 Publications have been cited 134 times in 119 Documents Cited by ▼ Year ▼ The complexity of a scheme of functional elements realizing the multiplication of integers. Zbl 0203.15604 Toom, A. L. 55 1963 Stable and attractive trajectories in multicomponent systems. Zbl 0441.68053 Toom, A. L. 48 1980 Nonergodic multidimensional automata systems. Zbl 0315.94053 Toom, A. L. 14 1974 A family of uniform nets of formal neurons. Zbl 0186.51101 Toom, A. L. 9 1968 An error correction. Letter to the editor. Zbl 1144.82332 Ramos, A. D.; Toom, A. 6 2008 Chaos and Monte Carlo approximations of the Flip-annihilation process. Zbl 1161.82327 Ramos, A. D.; Toom, A. 5 2008 Eroders on a plane with three states at a point. I: Deterministic. Zbl 1329.82090 de Santana, L. H.; Ramos, A. D.; Toom, A. 4 2015 Monotonous binary tessellation automata. Zbl 0356.94067 Toom, A. L. 3 1976 Locally interacting systems and their application in biology. Proceedings of the school-seminar on Markov interaction processes in biology, held in Pushchino, Moscow Region, March 1976. Zbl 0367.00029 3 1978 Trajectories in random monads. Zbl 1230.37105 Ramos, A. D.; Toom, A. 2 2011 Phase transitions in the dynamics of slow random monads. Zbl 1231.82018 Ramos, A. D.; Toom, A. 1 2011 Stability in lattice systems with local prohibitions. Zbl 0573.60062 Toom, A. L. 1 1985 Monotonic evolutions in real spaces. Zbl 0392.93006 Toom, A. L. 1 1978 Variable-length analog of Stavskaya process: a new example of misleading simulation. Zbl 1364.60138 Ramos, A. D.; Silva, F. S. G.; Sousa, C. S.; Toom, A. 1 2017 Nonergodicity and growth are compatible for 1D local interaction. Zbl 1200.60087 Ramos, A. D.; Toom, A. 1 2010 Variable-length analog of Stavskaya process: a new example of misleading simulation. Zbl 1364.60138 Ramos, A. D.; Silva, F. S. G.; Sousa, C. S.; Toom, A. 1 2017 Eroders on a plane with three states at a point. I: Deterministic. Zbl 1329.82090 de Santana, L. H.; Ramos, A. D.; Toom, A. 4 2015 Trajectories in random monads. Zbl 1230.37105 Ramos, A. D.; Toom, A. 2 2011 Phase transitions in the dynamics of slow random monads. Zbl 1231.82018 Ramos, A. D.; Toom, A. 1 2011 Nonergodicity and growth are compatible for 1D local interaction. Zbl 1200.60087 Ramos, A. D.; Toom, A. 1 2010 An error correction. Letter to the editor. Zbl 1144.82332 Ramos, A. D.; Toom, A. 6 2008 Chaos and Monte Carlo approximations of the Flip-annihilation process. Zbl 1161.82327 Ramos, A. D.; Toom, A. 5 2008 Stability in lattice systems with local prohibitions. Zbl 0573.60062 Toom, A. L. 1 1985 Stable and attractive trajectories in multicomponent systems. Zbl 0441.68053 Toom, A. L. 48 1980 Locally interacting systems and their application in biology. Proceedings of the school-seminar on Markov interaction processes in biology, held in Pushchino, Moscow Region, March 1976. Zbl 0367.00029 3 1978 Monotonic evolutions in real spaces. Zbl 0392.93006 Toom, A. L. 1 1978 Monotonous binary tessellation automata. Zbl 0356.94067 Toom, A. L. 3 1976 Nonergodic multidimensional automata systems. Zbl 0315.94053 Toom, A. L. 14 1974 A family of uniform nets of formal neurons. Zbl 0186.51101 Toom, A. L. 9 1968 The complexity of a scheme of functional elements realizing the multiplication of integers. Zbl 0203.15604 Toom, A. L. 55 1963 all cited Publications top 5 cited Publications all top 5 Cited by 203 Authors 7 Pan, Victor Yakovlevich 5 van der Hoeven, Joris 4 Gacs, Peter 4 Maes, Christian 4 Marcovici, Irène 4 Winograd, Shmuel 3 Gashkov, Sergey B. 3 Griffeath, David 3 Lebowitz, Joel Louis 3 Pippenger, Nicholas J. 3 Sergeev, Igor’ Sergeevich 2 Çapuni, Ilir 2 Covanov, Svyatoslav 2 Crawford, Nicholas 2 Durrett, Richard Timothy 2 Fernández, Roberto 2 Gray, Lawrence F. 2 Hartarsky, Ivailo 2 Harvey, David 2 Hasan, M. Anwar 2 Karatsuba, Ekaterina Anatol’evna 2 Lim, Lek-Heng 2 Mairesse, Jean 2 Malyshev, Vadim Aleksandrovich 2 Mauri, Giancarlo 2 McCann, Mark 2 Ramos, Alex D. 2 Regnault, Damien 2 Schonmann, Roberto Henrique 2 Sousa, Calitéia S. 2 Taati, Siamak 2 Taggi, Lorenzo 2 Thomé, Emmanuel 2 Vanneschi, Leonardo 1 Aanderaa, Stål Olav 1 Afshani, Peyman 1 Andjel, Enrique Daniel 1 Auslander, Louis 1 Averbuch, Amir Z. 1 Ayyer, Arvind 1 Baldi, Marco 1 Balister, Paul N. 1 Ballet, Stéphane 1 Barina, David 1 Becker, Hanno 1 Berezner, S. A. 1 Bessonov, Mariya 1 Bini, Dario Andrea 1 Bodrato, Marco 1 Bollobás, Béla 1 Bolotov, A. A. 1 Bramson, Maury D. 1 Brent, Richard Peirce 1 Bricmont, Jean 1 Burtsev, A. A. 1 Cadavid, Paula 1 Caputo, Pietro 1 Carlet, Claude 1 Cenk, Murat 1 Chang, Te-Jen 1 Chaumine, Jean 1 Chen, Ching-Yin 1 Chiaraluce, Franco 1 Coletti, Cristian F. 1 Cook, Stephen Arthur 1 da Silva, C. D. B. 1 Dai Pra, Paolo 1 de Maere, Augustin 1 De Roeck, Wojciech 1 de Santana, Luís H. 1 den Hollander, Frank 1 Denef, Jan 1 Díaz-Barrero, José Luis 1 Ding, Ling 1 Emiris, Ioannis Z. 1 Fan, Haining 1 Fatès, Nazim A. 1 Ferradi, Houda 1 Föllmer, Hans 1 Fontes, Luiz Renato G. 1 Freksen, Casper Benjamin 1 Frolov, A. B. 1 Gaj, Kris 1 Galil, Zvi 1 Gaudry, Pierrick 1 Géraud, Rémi 1 Goldstein, Sheldon 1 Goles Chacc, Eric 1 Gonzaga de Sá, Paula 1 Grau-Sánchez, Miquel 1 Gravner, Janko 1 Hwang, Vincent 1 Jahani, Shahram 1 Johnson, J. Robert 1 Ju, Caleb 1 Just, Wolfram 1 Kamma, Lior 1 Kannwischer, Matthias J. 1 Kozma, Gady 1 Kozma, Robert Thijs ...and 103 more Authors all top 5 Cited in 52 Serials 17 Journal of Statistical Physics 6 Theoretical Computer Science 4 Computers & Mathematics with Applications 4 Journal of Computer and System Sciences 4 Journal of Symbolic Computation 3 Mathematics of Computation 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 Journal of Complexity 3 Stochastic Processes and their Applications 2 Communications in Mathematical Physics 2 Information Processing Letters 2 Journal of Mathematical Physics 2 The Annals of Probability 2 Advances in Applied Mathematics 2 Journal of Mathematical Sciences (New York) 2 Finite Fields and their Applications 2 Electronic Journal of Probability 2 Theory of Computing Systems 2 Natural Computing 2 Oberwolfach Reports 1 Bulletin of the Australian Mathematical Society 1 Discrete Applied Mathematics 1 Mathematical Notes 1 Problems of Information Transmission 1 Russian Mathematical Surveys 1 Applied Mathematics and Computation 1 Information Sciences 1 Journal of Soviet Mathematics 1 Transactions of the American Mathematical Society 1 Cybernetics 1 Probability Theory and Related Fields 1 Random Structures & Algorithms 1 The Annals of Applied Probability 1 International Journal of Algebra and Computation 1 Designs, Codes and Cryptography 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 1 SIAM Review 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Electronic Communications in Probability 1 Sbornik: Mathematics 1 Journal of the ACM 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 Fundamenta Informaticae 1 Annales Henri Poincaré 1 Foundations of Computational Mathematics 1 Journal of Applied Mathematics 1 Acta Numerica 1 Journal of Statistical Mechanics: Theory and Experiment 1 Chebyshevskiĭ Sbornik 1 Algorithms 1 Cryptography and Communications all top 5 Cited in 25 Fields 66 Computer science (68-XX) 30 Probability theory and stochastic processes (60-XX) 25 Statistical mechanics, structure of matter (82-XX) 20 Numerical analysis (65-XX) 18 Number theory (11-XX) 18 Information and communication theory, circuits (94-XX) 13 Dynamical systems and ergodic theory (37-XX) 9 Field theory and polynomials (12-XX) 6 Commutative algebra (13-XX) 3 Algebraic geometry (14-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year