# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 27 Publications since 1991
all top 5

#### Co-Authors

 3 single-authored 11 Schütz, Gunter M. 4 Ferrari, Pablo Augusto 2 de Almeida Prado, Fernando Pigeard 2 Konno, Norio 2 Menshikov, Mikhail V. 1 Ferreira, Alex Luiz 1 Granovsky, Boris L. 1 Higuchi, Yasunari 1 Kelbert, Mark Ya. 1 Krug, Joachim 1 Leonenko, Nikolai N. 1 Liggett, Thomas Milton 1 Marić, Nevena 1 Neves, E. Jordão 1 Pechersky, Eugene A. 1 Pereira, Antônio Luiz 1 Petritis, Dimitri 1 Popov, Serguei Yu. 1 Ritchie, Thomas Logan 1 Sugimine, Nobuaki 1 Suhov, Yurii Mikhailovich 1 Vachkovskaia, Marina 1 Vvedenskaya, Nikita Dmitrievna
all top 5

#### Serials

 10 Journal of Statistical Physics 3 Journal of Physics A: Mathematical and Theoretical 2 Stochastic Processes and their Applications 2 Markov Processes and Related Fields 1 Journal of Mathematical Physics 1 Journal of Mathematical Economics 1 Communications in Statistics. Stochastic Models 1 Electronic Journal of Probability 1 Bernoulli 1 Mathematical Communications 1 Stochastics and Dynamics 1 Analysis and Applications (Singapore) 1 Journal of Theoretical Biology
all top 5

#### Fields

 18 Probability theory and stochastic processes (60-XX) 16 Statistical mechanics, structure of matter (82-XX) 5 Dynamical systems and ergodic theory (37-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

21 Publications have been cited 103 times in 79 Documents Cited by Year
Ballistic annihilation and deterministic surface growth. Zbl 1081.60553
1995
Invariant measures and convergence properties for cellular automaton 184 and related processes. Zbl 1126.37301
2005
Self-duality for the two-component asymmetric simple exclusion process. Zbl 1332.82067
Belitsky, V.; Schütz, G. M.
2015
Diffusion and scattering of shocks in the partially asymmetric simple exclusion process. Zbl 1017.60097
2002
Microscopic structure of shocks and antishocks in the ASEP conditioned on low current. Zbl 1281.82025
Belitsky, V.; Schütz, G. M.
2013
Quantum algebra symmetry of the ASEP with second-class particles. Zbl 1329.82075
Belitsky, V.; Schütz, G. M.
2015
A cellular automaton model for two-lane traffic. Zbl 1126.82322
Belitsky, V.; Krug, J.; Jordão Neves, E.; Schütz, G. M.
2001
Self-duality and shock dynamics in the $$n$$-species priority ASEP. Zbl 1391.60229
Belitsky, V.; Schütz, G. M.
2018
A mixture of the exclusion process and the voter model. Zbl 0978.60105
Belitsky, Vladimir; Ferrari, Pablo A.; Menshikov, Mikhail V.; Popov, Serguei Yu.
2001
Uniqueness of Gibbs state for non-ideal gas in $$\mathbb R^d$$: The case of multibody interaction. Zbl 1001.82018
Belitsky, V.; Pechersky, E. A.
2002
RNA polymerase interactions and elongation rate. Zbl 1406.92170
Belitsky, V.; Schütz, G. M.
2019
Antishocks in the ASEP with open boundaries conditioned on low current. Zbl 1353.82048
Belitsky, V.; Schütz, G. M.
2013
Asymptotic upper bound of density for two-particle annihilating exclusion. Zbl 1102.60322
Belitsky, V.
1993
A non-linear model of trading mechanism on a financial market. Zbl 1295.91065
Vvedenskaya, N.; Suhov, Y.; Belitsky, V.
2013
Improved lower bounds for the critical probability of oriented bond percolation in two dimensions. Zbl 1127.82025
2006
On the Bartlett spectrum of randomized Hawkes processes. Zbl 1291.60071
Kelbert, Mark; Leonenko, Nikolai; Belitsky, Vladimir
2013
Microscopic position and structure of a shock in CA 184. Zbl 1269.82037
Belitsky, V.; Schütz, G. M.
2011
Stability analysis with applications of a two-dimensional dynamical system arising from a stochastic model for an asset market. Zbl 1223.91023
2011
Analyticity of survival probability for contact process around $$t = 0$$. Zbl 1106.60077
Belitsky, Vladimir; Higuchi, Yasunari; Konno, Norio; Sugimine, Nobuaki
2007
Asymptotic behavior of the density for two-particle annihilating exclusion. Zbl 1080.60513
Belitsky, V.
1995
On the dynamics of the stochastic model of adsorption-desorption on a finite lattice. Zbl 0736.60098
1991
RNA polymerase interactions and elongation rate. Zbl 1406.92170
Belitsky, V.; Schütz, G. M.
2019
Self-duality and shock dynamics in the $$n$$-species priority ASEP. Zbl 1391.60229
Belitsky, V.; Schütz, G. M.
2018
Self-duality for the two-component asymmetric simple exclusion process. Zbl 1332.82067
Belitsky, V.; Schütz, G. M.
2015
Quantum algebra symmetry of the ASEP with second-class particles. Zbl 1329.82075
Belitsky, V.; Schütz, G. M.
2015
Microscopic structure of shocks and antishocks in the ASEP conditioned on low current. Zbl 1281.82025
Belitsky, V.; Schütz, G. M.
2013
Antishocks in the ASEP with open boundaries conditioned on low current. Zbl 1353.82048
Belitsky, V.; Schütz, G. M.
2013
A non-linear model of trading mechanism on a financial market. Zbl 1295.91065
Vvedenskaya, N.; Suhov, Y.; Belitsky, V.
2013
On the Bartlett spectrum of randomized Hawkes processes. Zbl 1291.60071
Kelbert, Mark; Leonenko, Nikolai; Belitsky, Vladimir
2013
Microscopic position and structure of a shock in CA 184. Zbl 1269.82037
Belitsky, V.; Schütz, G. M.
2011
Stability analysis with applications of a two-dimensional dynamical system arising from a stochastic model for an asset market. Zbl 1223.91023
2011
Analyticity of survival probability for contact process around $$t = 0$$. Zbl 1106.60077
Belitsky, Vladimir; Higuchi, Yasunari; Konno, Norio; Sugimine, Nobuaki
2007
Improved lower bounds for the critical probability of oriented bond percolation in two dimensions. Zbl 1127.82025
2006
Invariant measures and convergence properties for cellular automaton 184 and related processes. Zbl 1126.37301
2005
Diffusion and scattering of shocks in the partially asymmetric simple exclusion process. Zbl 1017.60097
2002
Uniqueness of Gibbs state for non-ideal gas in $$\mathbb R^d$$: The case of multibody interaction. Zbl 1001.82018
Belitsky, V.; Pechersky, E. A.
2002
A cellular automaton model for two-lane traffic. Zbl 1126.82322
Belitsky, V.; Krug, J.; Jordão Neves, E.; Schütz, G. M.
2001
A mixture of the exclusion process and the voter model. Zbl 0978.60105
Belitsky, Vladimir; Ferrari, Pablo A.; Menshikov, Mikhail V.; Popov, Serguei Yu.
2001
Ballistic annihilation and deterministic surface growth. Zbl 1081.60553
1995
Asymptotic behavior of the density for two-particle annihilating exclusion. Zbl 1080.60513
Belitsky, V.
1995
Asymptotic upper bound of density for two-particle annihilating exclusion. Zbl 1102.60322
Belitsky, V.
1993
On the dynamics of the stochastic model of adsorption-desorption on a finite lattice. Zbl 0736.60098
1991
all top 5

#### Cited by 137 Authors

 9 Schütz, Gunter M. 8 Belitsky, Vladimir 4 Marcovici, Irène 3 Giardinà, Cristian 3 Gupta, Arvind Kumar 3 Lyu, Hanbaek 3 Sablik, Mathieu 2 Baetens, Jan M. 2 Blank, M. L. 2 Ferrari, Pablo Augusto 2 Ferrari, Patrik Lino 2 Franceschini, Chiara 2 Gravner, Janko 2 Jindal, Akriti 2 Kolomeisky, Anatoly B. 2 Kovchegov, Yevgeniy V. 2 Kuan, Jeffrey 2 Kuniba, Atsuo 2 Logachov, Artem Vasil’evich 2 Monthus, Cécile 2 Nejjar, Peter 2 Okado, Masato 2 Pasurek, Tatiana 2 Raschel, Kilian 2 Sivakoff, David 2 Suhov, Yurii Mikhailovich 2 Taati, Siamak 2 Tatashev, Alexander Gennadjevich 2 Vvedenskaya, Nikita Dmitrievna 2 Yambartsev, Anatoly A. 2 Yashina, Marina Viktorovna 2 Zaliapin, Ilya 1 Asselah, Amine 1 Baek, Yongjoo 1 Balázs, Márton-Ernó 1 Balazs, Marton 1 Blank, Michael 1 Buccioli, Alice 1 Bugaev, A. S. 1 Burdinski, Debbie 1 Cáceres, Fredy Castellares 1 Carinci, Gioia 1 Casse, Jérôme 1 Cénac, Peggy 1 Chatterjee, Sakuntala 1 Chowdhury, Debashish 1 Coletti, Cristian F. 1 Conache, Diana 1 Corwin, Ivan 1 Dai Pra, Paolo 1 Daletskii, Alexei 1 De Baets, Bernard 1 de Gier, Jan 1 de Lima, Lucas R. 1 Dereudre, David 1 Deveaux, Vincent 1 Duffy, Lewis 1 Duminil-Copin, Hugo 1 Dzedzej, Adam 1 Ermakov, Andrei M. 1 Farkas, György 1 Fatès, Nazim A. 1 Fernández, Roberto 1 Foxall, Eric 1 Garoni, Timothy M. 1 Gava, Renato Jacob 1 Ghadermazi, Mohammad 1 Ghosal, Promit 1 Ghosh, Soumendu 1 Gonçalves, S. F. T. 1 Gordon, Mirta B. 1 Groenevelt, Wolter G. M. 1 Gupta, Shrey 1 Harris, Rosemary J. 1 Hellouin De Menibus, Benjamin 1 Huang, Haijun 1 Ihara, Sigeo 1 Jafarpour, Farhad H. 1 Jiang, Rui 1 Jung, Paul H. 1 Junge, Matthew 1 Kafri, Yariv 1 Khamehchi, Masoumeh 1 Kokholm, Thomas 1 Kondratiev, Yuri 1 Kondrat’yev, Yuriĭ Grygorovych 1 Kovács, Peter 1 Kurkova, Irina A. 1 Kutoviy, Oleksandr V. 1 Lecomte, Vivien 1 Lin, Yier 1 Luiz, Denis A. 1 Ma, Yaping 1 Macphee, Iain M. 1 Mangazeev, Vladimir V. 1 Martin, James Benedict 1 Maruyama, Shouya 1 Menshikov, Mikhail V. 1 Midha, Tripti 1 Mignot, S. ...and 37 more Authors
all top 5

#### Cited in 38 Serials

 18 Journal of Statistical Physics 7 Journal of Statistical Mechanics: Theory and Experiment 5 Journal of Mathematical Physics 5 Stochastic Processes and their Applications 3 Electronic Journal of Probability 2 Communications in Mathematical Physics 2 Problems of Information Transmission 2 Journal of Applied Probability 2 Probability Theory and Related Fields 2 Mathematical Physics, Analysis and Geometry 1 Nuclear Physics. B 1 Physica A 1 Reports on Mathematical Physics 1 Reviews in Mathematical Physics 1 Theoretical Computer Science 1 Information and Computation 1 Queueing Systems 1 Japan Journal of Industrial and Applied Mathematics 1 The Annals of Applied Probability 1 Journal of Nonlinear Science 1 Journal of Computer and Systems Sciences International 1 Electronic Communications in Probability 1 Bernoulli 1 Doklady Mathematics 1 Quantitative Finance 1 Matematicheskoe Modelirovanie 1 Entropy 1 Analysis and Applications (Singapore) 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Acta Mechanica Sinica 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Journal of Physics A: Mathematical and Theoretical 1 Probability Surveys 1 Journal of Theoretical Biology 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Annales Henri Lebesgue
all top 5

#### Cited in 20 Fields

 49 Probability theory and stochastic processes (60-XX) 47 Statistical mechanics, structure of matter (82-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Quantum theory (81-XX) 6 Computer science (68-XX) 6 Operations research, mathematical programming (90-XX) 5 Nonassociative rings and algebras (17-XX) 5 Biology and other natural sciences (92-XX) 2 Combinatorics (05-XX) 2 Associative rings and algebras (16-XX) 2 Functions of a complex variable (30-XX) 2 Fluid mechanics (76-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Classical thermodynamics, heat transfer (80-XX)