The Hirota equation over finite fields: algebro-geometric approach and multisoliton solutions A Doliwa, M Białecki, P Klimczewski Journal of Physics A: Mathematical and General 36 (17), 4827, 2003 | 32 | 2003 |
Algebro-geometric solution of the discrete KP equation over a finite field out of a hyperelliptic curve M Białecki, A Doliwa Communications in mathematical physics 253, 157-170, 2005 | 28 | 2005 |
Degenerated mechanics in a homogeneous continuum: potentials for spin and twist R Teisseyre, M Bialecki, M Gorski Acta Geophysica Polonica 53 (3), 219, 2005 | 23 | 2005 |
Three-level description of the domino cellular automaton Z Czechowski, M Białecki Journal of Physics A: Mathematical and Theoretical 45 (15), 155101, 2012 | 20 | 2012 |
On one-to-one dependence of rebound parameters on statistics of clusters: exponential and inverse-power distributions out of Random Domino Automaton M Białecki, Z Czechowski Journal of the Physical Society of Japan 82 (1), 014003, 2012 | 19 | 2012 |
Ito equations out of domino cellular automaton with efficiency parameters Z Czechowski, M Białecki Acta Geophysica 60, 846-857, 2012 | 18 | 2012 |
Motzkin numbers out of random domino automaton M Białecki Physics Letters A 376 (45), 3098-3100, 2012 | 14 | 2012 |
On mechanistic explanation of the shape of the universal curve of earthquake recurrence time distributions M BiałEcki Acta Geophysica 63, 1205-1215, 2015 | 12* | 2015 |
The discrete KP and KdV equations over finite fields M Białecki, A Doliwa Theoretical and mathematical physics 137, 1412-1418, 2003 | 12 | 2003 |
From statistics of avalanches to microscopic dynamics parameters in a toy model of earthquakes M Białecki Acta Geophysica 61, 1677-1689, 2013 | 11 | 2013 |
Degenerated asymmetric continuum theory R Teisseyre, M Białecki, M Górski Earthquake source asymmetry, structural media and rotation effects, 43-55, 2006 | 11 | 2006 |
Properties of a finite stochastic cellular automaton toy model of earthquakes M Białecki Acta Geophysica 63, 923-956, 2015 | 8* | 2015 |
On a simple stochastic cellular automaton with avalanches: simulation and analytical results M Białecki, Z Czechowski Synchronization and Triggering: from Fracture to Earthquake Processes …, 2010 | 8 | 2010 |
On pattern structures of the N-soliton solution of the discrete KP equation over a finite field M Białecki, JJC Nimmo Journal of Physics A: Mathematical and Theoretical 40 (5), 949, 2007 | 7 | 2007 |
Complex relativity: gravity and electromagnetic fields R Teisseyre, M Bialecki arXiv preprint physics/0506033, 2005 | 5 | 2005 |
Integrable KP and KdV cellular automata out of a hyperelliptic curve M BIAŁECKI Glasgow Mathematical Journal 47 (A), 33-44, 2005 | 5 | 2005 |
Integrable 1D Toda cellular automata M Białecki Journal of Nonlinear Mathematical Physics 12 (sup2), 28-35, 2005 | 5 | 2005 |
Bi-SOC-states in one-dimensional random cellular automaton Z Czechowski, A Budek, M Białecki Chaos: An Interdisciplinary Journal of Nonlinear Science 27 (10), 2017 | 4 | 2017 |
Random Domino Automaton: Modeling macroscopic properties by means of microscopic rules M Białecki, Z Czechowski Achievements, History and Challenges in Geophysics: 60th Anniversary of the …, 2014 | 4 | 2014 |
Ito equations as macroscopic stochastic models of geophysical phenomena–construction of the models on the basis of time series Z Czechowski, M Białecki Synchronization and Triggering: from Fracture to Earthquake Processes …, 2010 | 4 | 2010 |