Singh, Abha; Chhimpa, Rahul; Yadav, Avinash Chand \(1/f^\alpha\) noise in the Robin Hood model. (English) Zbl 07979298 J. Stat. Mech. Theory Exp. 2024, No. 9, Article ID 093203, 14 p. (2024). MSC: 82-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gess, Benjamin; Röckner, Michael; Wu, Weina SVI solutions to stochastic nonlinear diffusion equations on general measure spaces. (English) Zbl 07974260 J. Evol. Equ. 24, No. 4, Paper No. 94, 37 p. (2024). MSC: 60H10 60H15 49J40 76S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rahman, Mahajabin; Boettcher, Stefan Hysteretic response to different modes of ramping an external field in sparse and dense Ising spin glasses. (English) Zbl 07930380 Physica A 653, Article ID 130070, 9 p. (2024). MSC: 82-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Asselah, Amine; Forien, Nicolas; Gaudillière, Alexandre The critical density for activated random walks is always less than 1. (English) Zbl 07926183 Ann. Probab. 52, No. 5, 1607-1649 (2024). MSC: 60K35 60G50 82B26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Forien, Nicolas; Gaudillière, Alexandre Active phase for activated random walks on the lattice in all dimensions. (English. French summary) Zbl 1544.60102 Ann. Inst. Henri Poincaré, Probab. Stat. 60, No. 2, 1188-1214 (2024). MSC: 60K35 82B26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Byrkin, Victor; Tronin, Ivan; Lykianov, Dmitry Quasi-static filling of a disordered nanoporous medium with a non-wetting liquid as a process of self-organized criticality. (English) Zbl 1540.82004 Commun. Nonlinear Sci. Numer. Simul. 135, Article ID 108056, 8 p. (2024). MSC: 82B27 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Cheraghalizadeh, Jafar; Luković, Mirko; Najafi, Morteza N. Simulating cumulus clouds based on self-organized criticality. (English) Zbl 07845798 Physica A 636, Article ID 129553, 10 p. (2024). MSC: 82-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Forien, Nicolas An extension of the Ising-Curie-Weiss model of self-organized criticality with a threshold on the interaction range. (English) Zbl 1536.82008 Electron. J. Probab. 29, Paper No. 15, 27 p. (2024). MSC: 82B20 82B27 60K35 60F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shkolnikov, Mikhail Relaxation in one-dimensional tropical sandpile. (English) Zbl 07899879 Commun. Math. 31, No. 3, Paper No. 3, 11 p. (2023). MSC: 14T90 37E15 82-05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Antonov, N. V.; Kakin, P. I.; Lebedev, N. M.; Yu Luchin, A. Renormalization group analysis of a self-organized critical system: intrinsic anisotropy vs random environment. (English) Zbl 1548.82064 J. Phys. A, Math. Theor. 56, No. 37, Article ID 375002, 23 p. (2023). MSC: 82C28 82B28 82C27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Neuß, Marius Ergodicity for singular-degenerate stochastic porous media equations. (English) Zbl 1519.37004 J. Dyn. Differ. Equations 35, No. 2, 1561-1584 (2023). MSC: 37A25 35B40 35R60 60H15 × Cite Format Result Cite Review PDF Full Text: DOI
Comets, Francis; Menshikov, Mikhail; Volkov, Stanislav Generalizations of forest fires with ignition at the origin. (English) Zbl 1516.60056 J. Appl. Probab. 60, No. 2, 418-434 (2023). MSC: 60K35 82C43 92D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cherepantsev, Alexander S. The mechanism of the fault genesis and synchronization in the dissipative cellular model of earthquakes. (English) Zbl 1530.74054 Russ. J. Nonlinear Dyn. 18, No. 1, 43-59 (2022). MSC: 74L05 86A15 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Melchionna, Andrew Stochastic sandpile on a cycle. (English) Zbl 1506.82021 J. Phys. A, Math. Theor. 55, No. 19, Article ID 195001, 13 p. (2022). MSC: 82C22 60K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kumar, Naveen; Singh, Suram; Yadav, Avinash Chand Energy fluctuations in one dimensional Zhang sandpile model. (English) Zbl 1539.82155 J. Stat. Mech. Theory Exp. 2022, No. 7, Article ID 073203, 15 p. (2022). MSC: 82C20 65C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Selvam, Amujuri Mary Chaotic DNA dynamics. (English) Zbl 1506.92001 Singapore: World Scientific (ISBN 978-981-12-4285-4/hbk; 978-981-12-4325-7/ebook). xx, 224 p. (2022). Reviewer: Thomas Jiaxian Li (Charlottesville) MSC: 92-02 92D20 92D10 28A80 × Cite Format Result Cite Review PDF Full Text: DOI
Cerf, Raphaël; Forien, Nicolas Some toy models of self-organized criticality in percolation. (English) Zbl 1482.82033 ALEA, Lat. Am. J. Probab. Math. Stat. 19, No. 1, 367-416 (2022). MSC: 82B43 60K35 82B20 82B27 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Volkov, Stanislav Rigorous upper bound for the discrete Bak-Sneppen model. (English) Zbl 1480.60200 J. Stat. Phys. 186, No. 1, Paper No. 8, 10 p. (2022). MSC: 60J05 60J10 60K35 82B26 92D15 92B05 92D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Milovanov, Alexander V.; Rasmussen, Jens Juul; Groslambert, Bertrand Black swans, extreme risks, and the e-pile model of self-organized criticality. (English) Zbl 1498.82028 Chaos Solitons Fractals 144, Article ID 110665, 21 p. (2021). MSC: 82C44 60G70 × Cite Format Result Cite Review PDF Full Text: DOI
Levine, Lionel; Silvestri, Vittoria How far do activated random walkers spread from a single source? (English) Zbl 07442698 J. Stat. Phys. 185, No. 3, Paper No. 18, 27 p. (2021). MSC: 82Cxx 60Kxx 82Bxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
van den Berg, Jacob; Nolin, Pierre Near-critical 2D percolation with heavy-tailed impurities, forest fires and frozen percolation. (English) Zbl 1489.60158 Probab. Theory Relat. Fields 181, No. 1-3, 211-290 (2021). MSC: 60K35 82B43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Neuss, Marius Well-posedness of SVI solutions to singular-degenerate stochastic porous media equations arising in self-organized criticality. (English) Zbl 1475.60125 Stoch. Dyn. 21, No. 5, Article ID 2150029, 34 p. (2021). MSC: 60H15 76S05 49J40 49J55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Bing; Qu, Zhongwei; Li, Xuechao Transport of self-propelled Janus particles confined in corrugated channel with Lévy noise. (English) Zbl 1539.82287 J. Stat. Mech. Theory Exp. 2021, No. 9, Article ID 093202, 14 p. (2021). MSC: 82C31 60J70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cabezas, Manuel; Rolla, Leonardo T. Avalanches in critical activated random walks. (English) Zbl 1469.60310 Vares, Maria Eulália (ed.) et al., In and out of equilibrium 3: celebrating Vladas Sidoravicius. Cham: Birkhäuser. Prog. Probab. 77, 187-205 (2021). MSC: 60K35 82C27 82C23 60K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Elyasizad, L.; Niry, M. D. Local violation of conservation in the abelian sandpile model through fractal patterns of non-conservative sites. (English) Zbl 1479.82037 J. Stat. Phys. 184, No. 1, Paper No. 7, 13 p. (2021). MSC: 82C20 82C27 28A80 × Cite Format Result Cite Review PDF Full Text: DOI
Crane, Edward; Ráth, Balázs; Yeo, Dominic Age evolution in the mean field forest fire model via multitype branching processes. (English) Zbl 1491.60173 Ann. Probab. 49, No. 4, 2031-2075 (2021). MSC: 60K35 05C80 35Q82 46N55 60J80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Forien, Nicolas A planar Ising model of self-organized criticality. (English) Zbl 1467.82014 Probab. Theory Relat. Fields 180, No. 1-2, 163-198 (2021). MSC: 82B20 82B27 82B43 60K35 82D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Franz, Silvio; Sclocchi, Antonio; Urbani, Pierfrancesco Surfing on minima of isostatic landscapes: avalanches and unjamming transition. (English) Zbl 1539.82333 J. Stat. Mech. Theory Exp. 2021, No. 2, Article ID 023208, 29 p. (2021). MSC: 82C44 90C90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Farahbakhsh, Isaiah; Bauch, Chris T.; Anand, Madhur Best response dynamics improve sustainability and equity outcomes in common-pool resources problems, compared to imitation dynamics. (English) Zbl 1457.91074 J. Theor. Biol. 509, Article ID 110476, 12 p. (2021). MSC: 91A22 91A43 91D30 91B76 91D15 × Cite Format Result Cite Review PDF Full Text: DOI Link
González-López, Ricardo; Gómez, Javier B.; Pacheco, Amalio F. A minimal agent-based model for the size-frequency distribution of firms. (English) Zbl 07843117 Adv. Complex Syst. 23, No. 1, Article ID 2050002, 27 p. (2020). MSC: 91-XX × Cite Format Result Cite Review PDF Full Text: DOI
Mier, J. A.; Sánchez, R.; Newman, D. E. Tracer particle transport dynamics in the diffusive sandpile cellular automaton. (English) Zbl 1495.82028 Chaos Solitons Fractals 140, Article ID 110117, 10 p. (2020). MSC: 82C70 82B41 82C41 × Cite Format Result Cite Review PDF Full Text: DOI
Mosco, Umberto; Vivaldi, Maria Agostina On a discrete self-organized-criticality finite time result. (English) Zbl 1448.35297 Discrete Contin. Dyn. Syst. 40, No. 8, 5079-5103 (2020). MSC: 35K55 35A35 35K65 37L05 65M06 65M12 76T25 × Cite Format Result Cite Review PDF Full Text: DOI
Collet, Francesca; Gorny, Matthias; Kraaij, Richard C. Path-space moderate deviations for a Curie-Weiss model of self-organized criticality. (English. French summary) Zbl 1434.60084 Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 2, 765-781 (2020). MSC: 60F10 60J60 60K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Antonov, N. V.; Kakin, P. I.; Lebedev, N. M. Static approach to renormalization group analysis of stochastic models with spatially quenched noise. (English) Zbl 1434.82031 J. Stat. Phys. 178, No. 2, 392-419 (2020). MSC: 82B28 82C31 82C24 81V70 82D60 35R60 35Q82 82C27 82C26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Gui-Qing; Baró, Jordi; Cheng, Fang-Yin; Huang, He; Wang, Lin Avalanche dynamics of a generalized earthquake model. (English) Zbl 07565885 Physica A 525, 1463-1471 (2019). MSC: 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Taggi, Lorenzo Active phase for activated random walks on \(\mathbb{Z}^d, d\geq3\), with density less than one and arbitrary sleeping rate. (English. French summary) Zbl 1427.82025 Ann. Inst. Henri Poincaré, Probab. Stat. 55, No. 3, 1751-1764 (2019). MSC: 82C22 60K35 82C26 82C41 82C20 82C27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Turra, Mattia Existence and extinction in finite time for Stratonovich gradient noise porous media equations. (English) Zbl 1439.35593 Evol. Equ. Control Theory 8, No. 4, 867-882 (2019). Reviewer: Gelu Paşa (Bucureşti) MSC: 35R60 60H15 35K55 76S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Michelen, Marcus; Pemantle, Robin; Rosenberg, Josh Invasion percolation on Galton-Watson trees. (English) Zbl 1466.60211 Electron. J. Probab. 24, Paper No. 31, 35 p. (2019). MSC: 60K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Saeedi, Alireza; Jannesari, Mostafa; Gharibzadeh, Shahriar; Bakouie, Fatemeh Coexistence of stochastic oscillations and self-organized criticality in a neuronal network: sandpile model application. (English) Zbl 1472.92040 Neural Comput. 30, No. 4, 1132-1149 (2018). MSC: 92B20 × Cite Format Result Cite Review PDF Full Text: DOI
Matte, Maneesh B.; Gade, Prashant M. Criticality in a dynamics ruled evolutionary model. (English) Zbl 1508.92174 Commun. Nonlinear Sci. Numer. Simul. 65, 91-97 (2018). MSC: 92D15 × Cite Format Result Cite Review PDF Full Text: DOI
van Den Berg, Jacob; Kiss, Demeter; Nolin, Pierre Two-dimensional volume-frozen percolation: deconcentration and prevalence of mesoscopic clusters. (English. French summary) Zbl 1479.60203 Ann. Sci. Éc. Norm. Supér. (4) 51, No. 4, 1017-1084 (2018). Reviewer: Matteo Colangeli (L’Aquila) MSC: 60K35 82B43 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Swart, Jan M. Rigorous results for the Stigler-Luckock model for the evolution of an order book. (English) Zbl 1397.91563 Ann. Appl. Probab. 28, No. 3, 1491-1535 (2018). MSC: 91G10 60H30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Mahmoodi, Korosh; Grigolini, Paolo; West, Bruce J. On social sensitivity to either zealot or independent minorities. (English) Zbl 1395.91376 Chaos Solitons Fractals 110, 185-190 (2018). MSC: 91D30 90B15 91A22 × Cite Format Result Cite Review PDF Full Text: DOI
Tonello, Lucio; Giacobbi, Luca; Pettenon, Alberto; Scuotto, Alessandro; Cocchi, Massimo; Gabrielli, Fabio; Cappello, Glenda Crisis behavior in autism spectrum disorders: a self-organized criticality approach. (English) Zbl 1390.93135 Complexity 2018, Article ID 5128157, 7 p. (2018). MSC: 93A30 92C50 × Cite Format Result Cite Review PDF Full Text: DOI
Mosco, Umberto Finite-time self-organized-criticality on synchronized infinite grids. (English) Zbl 1400.82188 SIAM J. Math. Anal. 50, No. 3, 2409-2440 (2018). Reviewer: Guy Jumarie (Montréal) MSC: 82C27 46N55 68Q80 34B18 82B28 37B15 × Cite Format Result Cite Review PDF Full Text: DOI
Yadav, Avinash Chand; Manchanda, Kaustubh; Ramaswamy, Ramakrishna Emergent organization in a model market. (English) Zbl 1495.91049 Physica A 482, 118-126 (2017). MSC: 91B06 91B24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kendal, Wayne S. \(1/f\) noise and multifractality from bristlecone pine growth explained by the statistical convergence of random data. (English) Zbl 1404.92010 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2198, Article ID 20160586, 13 p. (2017). MSC: 92B15 62P10 × Cite Format Result Cite Review PDF Full Text: DOI
Van Den Berg, Jacob; Nolin, Pierre Boundary rules and breaking of self-organized criticality in 2D frozen percolation. (English) Zbl 1388.60169 Electron. Commun. Probab. 22, Paper No. 65, 15 p. (2017). MSC: 60K35 82B43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Swart, J. M. A simple rank-based Markov chain with self-organized criticality. (English) Zbl 1372.82035 Markov Process. Relat. Fields 23, No. 1, 87-101 (2017). MSC: 82C27 60K35 82C26 60J05 × Cite Format Result Cite Review PDF Full Text: arXiv
Gorny, Matthias A dynamical Curie-Weiss model of SOC: the Gaussian case. (English. French summary) Zbl 1370.60188 Ann. Inst. Henri Poincaré, Probab. Stat. 53, No. 2, 658-678 (2017). MSC: 60K35 60J60 60H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Ion, Stelian; Marinoschi, Gabriela A self-organizing criticality mathematical model for contamination and epidemic spreading. (English) Zbl 1360.35103 Discrete Contin. Dyn. Syst., Ser. B 22, No. 2, 383-405 (2017). MSC: 35K61 35K67 35Q92 35K65 37B15 68Q80 × Cite Format Result Cite Review PDF Full Text: DOI
Borman, V. D.; Tronin, V. N. Anomalously slow relaxation of the system of strongly interacting liquid clusters in a disordered nanoporous medium: self-organized criticality. (English) Zbl 1400.82113 Physica A 457, 391-405 (2016). MSC: 82B44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Biondo, Alessio Emanuele; Pluchino, Alessandro; Rapisarda, Andrea Order book, financial markets, and self-organized criticality. (English) Zbl 1415.91252 Chaos Solitons Fractals 88, 196-208 (2016). MSC: 91G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Formentin, Marco; Swart, Jan M. The limiting shape of a full mailbox. (English) Zbl 1375.82086 ALEA, Lat. Am. J. Probab. Math. Stat. 13, No. 2, 1151-1164 (2016). Reviewer: Guy Jumarie (Montréal) MSC: 82C27 60K35 82C26 60K20 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Kalinin, N.; Shkolnikov, M. Sandpiles on the heptagonal tiling. (English) Zbl 1369.52024 J. Knot Theory Ramifications 25, No. 12, Article ID 1642005, 12 p. (2016). Reviewer: Christian Richter (Jena) MSC: 52C20 05C21 60J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gorny, Matthias The Cramér condition for the Curie-Weiss model of SOC. (English) Zbl 1366.60108 Braz. J. Probab. Stat. 30, No. 3, 401-431 (2016). MSC: 60K35 60F05 82B27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Graf, Robert Critical heights of destruction for a forest-fire model on the half-plane. (English) Zbl 1336.60188 Electron. Commun. Probab. 21, Paper No. 39, 10 p. (2016). MSC: 60K35 82C22 82B43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Cerf, Raphaël; Gorny, Matthias A Curie-Weiss model of self-organized criticality. (English) Zbl 1342.60161 Ann. Probab. 44, No. 1, 444-478 (2016). MSC: 60K35 60F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Barbu, Viorel Stochastic porous media equations. (English) Zbl 1333.60133 Dalang, Robert C. (ed.) et al., Stochastic analysis: a series of lectures. Centre Interfacultaire Bernoulli, January–June 2012, École Polytechnique Fédérale Lausanne, Switzerland. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0908-5/hbk; 978-3-0348-0909-2/ebook). Progress in Probability 68, 101-133 (2015). MSC: 60H15 35R60 76S05 76M35 60-02 × Cite Format Result Cite Review PDF Full Text: DOI
Crane, Edward; Freeman, Nic; Tóth, Bálint Cluster growth in the dynamical Erdős-Rényi process with forest fires. (English) Zbl 1328.60208 Electron. J. Probab. 20, Paper No. 101, 33 p. (2015). MSC: 60K35 60J80 05C80 82C27 35Q82 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gorny, M. A self-interaction leading to fluctuations of order \(n^{5/6}\). (English) Zbl 1327.60190 Markov Process. Relat. Fields 21, No. 2, 205-248 (2015). MSC: 60K35 60F05 × Cite Format Result Cite Review PDF Full Text: arXiv
Járai, Antal A.; Redig, Frank; Saada, Ellen Approaching criticality via the zero dissipation limit in the abelian avalanche model. (English) Zbl 1323.82031 J. Stat. Phys. 159, No. 6, 1369-1407 (2015). MSC: 82C22 60K35 82C27 37A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Fey, A.; Meester, R. Critical densitites in sandpile models with quenched or annealed disorder. (English) Zbl 1326.60136 Markov Process. Relat. Fields 21, No. 1, 57-83 (2015). MSC: 60K35 60K37 60J05 60G10 82C27 × Cite Format Result Cite Review PDF Full Text: arXiv
Moghimi-Araghi, Saman; Sebtosheikh, Mahmoud The effect of the number of dissipative sites on a sandpile model. (English) Zbl 1325.60160 J. Phys. A, Math. Theor. 48, No. 8, Article ID 085001, 9 p. (2015). MSC: 60K35 60K40 65C60 × Cite Format Result Cite Review PDF Full Text: DOI
Gess, Benjamin Finite time extinction for stochastic sign fast diffusion and self-organized criticality. (English) Zbl 1395.60072 Commun. Math. Phys. 335, No. 1, 309-344 (2015). MSC: 60H15 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cerf, Raphaël; Gorny, Matthias A lower bound on the relative entropy with respect to a symmetric probability. (English) Zbl 1320.60056 Electron. Commun. Probab. 20, Paper No. 5, 5 p. (2015). MSC: 60E15 60F10 94A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Milovanov, Alexander V.; Juul Rasmussen, Jens A mixed SOC-turbulence model for nonlocal transport and Lévy-fractional Fokker-Planck equation. (English) Zbl 1331.35347 Phys. Lett., A 378, No. 21, 1492-1500 (2014). MSC: 35Q84 82D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gorny, M. A Curie-Weiss model of self-organized criticality: the Gaussian case. (English) Zbl 1326.60138 Markov Process. Relat. Fields 20, No. 3, 563-576 (2014). MSC: 60K35 60F05 28C20 × Cite Format Result Cite Review PDF Full Text: arXiv
Bressaud, Xavier; Fournier, Nicolas A mean-field forest-fire model. (English) Zbl 1304.82008 ALEA, Lat. Am. J. Probab. Math. Stat. 11, No. 2, 589-614 (2014). MSC: 82B05 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Marinoschi, Gabriela Variational solutions to nonlinear diffusion equations with singular diffusivity. (English) Zbl 1296.49003 J. Optim. Theory Appl. 161, No. 2, 430-445 (2014). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 49J20 35A15 35K55 × Cite Format Result Cite Review PDF Full Text: DOI
Matter, M.; Nagnibeda, T. The abelian sandpile model on randomly rooted graphs and self-similar groups. (English) Zbl 1302.05119 Isr. J. Math. 199, Part A, 363-420 (2014). MSC: 05C57 20B35 82C26 82B27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Graf, Robert A forest-fire model on the upper half-plane. (English) Zbl 1291.82037 Electron. J. Probab. 19, Paper No. 8, 27 p. (2014). MSC: 82B26 82B27 60K35 82C22 82B43 × Cite Format Result Cite Review PDF Full Text: DOI
Eliazar, Iddo I.; Cohen, Morrel H. Power-law connections: from Zipf to Heaps and beyond. (English) Zbl 1342.62199 Ann. Phys. 332, 56-74 (2013). MSC: 62P99 60E05 62E20 × Cite Format Result Cite Review PDF Full Text: DOI
Podlazov, A. V. Solution of two-dimensional self-organized critical Manna model. (Russian) Zbl 1313.86018 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineĭn. Din. 21, No. 6, 69-87 (2013). MSC: 86A99 70F45 82B31 82B27 × Cite Format Result Cite Review PDF
Bressaud, Xavier; Fournier, Nicolas One-dimensional general forest fire processes. (English) Zbl 1297.60063 Mém. Soc. Math. Fr., Nouv. Sér. 132, i-vi, 1-138 (2013). Reviewer: Artem Sapozhnikov (Leipzig) MSC: 60K35 92D40 × Cite Format Result Cite Review PDF Full Text: arXiv
Perrot, Kévin; Rémila, Éric Kadanoff sand pile model. Avalanche structure and wave shape. (English) Zbl 1297.68163 Theor. Comput. Sci. 504, 52-72 (2013). MSC: 68Q45 37B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Röckner, Michael; Wang, Feng-Yu General extinction results for stochastic partial differential equations and applications. (English) Zbl 1288.60078 J. Lond. Math. Soc., II. Ser. 87, No. 2, 545-560 (2013). Reviewer: Franco Fagnola (Milano) MSC: 60H15 47D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vacaru, Sergiu I. Diffusion and self organized criticaloty in Ricci flow evolution of Einstein and Finsler spaces. (English) Zbl 1324.53061 Symmetry Cult. Sci. 23, No. 2, old (2012). MSC: 53C44 60H15 76S05 35Q76 35R60 53C25 53B40 83C15 × Cite Format Result Cite Review PDF Full Text: arXiv
Podlazov, A. V. Two-dimensional self-organized critical sandpile models with anisotropic dynamics of the activity propagation. (Russian) Zbl 1299.35034 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinejn. Din. 20, No. 6, 25-46 (2012). MSC: 35B32 35Q31 × Cite Format Result Cite Review PDF
Blanchard, Ph.; Krüger, T.; Volchenkov, D. Heavy-tailed distribution in some stochastic dynamical models. (English) Zbl 1336.60018 Discontin. Nonlinearity Complex. 1, No. 1, 1-40 (2012). Reviewer: Carlo Sempi (Lecce) MSC: 60E05 60K25 05C80 60-02 × Cite Format Result Cite Review PDF Full Text: DOI
Podlazov, Á. V. Studies of scale invariant change-over dynamics in the hierarchical model of defects development. (Russian) Zbl 1274.70044 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinejn. Din. 20, No. 3, 3-16 (2012). MSC: 70K55 37D45 74R15 × Cite Format Result Cite Review PDF
Tsoutsouras, Vassilios; Sirakoulis, Georgios Ch.; Pavlos, Georgios P.; Iliopoulos, Aggelos C. Simulation of healthy and epileptiform brain activity using cellular automata. (English) Zbl 1258.92010 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 9, Paper No. 1250229, 23 p. (2012). MSC: 92C20 92C50 68Q80 37D45 × Cite Format Result Cite Review PDF Full Text: DOI
Dos Santos Lima, G. Z.; Iarosz, K. C.; Batista, A. M.; Caldas, I. L.; Guimarães-Filho, Z. O.; Viana, R. L.; Lopes, S. R.; Nascimento, I. C.; Kuznetsov, Yu. K. Self-organized criticality in MHD driven plasma edge turbulence. (English) Zbl 1255.76155 Phys. Lett., A 376, No. 5, 753-757 (2012). MSC: 76X05 76W05 76E25 35C06 37B15 × Cite Format Result Cite Review PDF Full Text: DOI
Tyomkyn, Mykhaylo A note on the Abelian sandpile in \(\mathbb Z^d\). (English) Zbl 1259.82095 J. Stat. Phys. 148, No. 6, 1072-1075 (2012). MSC: 82C41 68Q80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Redig, F.; Ruszel, W. M.; Saada, E. The Abelian sandpile model on a random binary tree. (English) Zbl 1269.82024 J. Stat. Phys. 147, No. 4, 653-677 (2012). Reviewer: Arkady L. Kholodenko (Clemson) MSC: 82B26 82B27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Formenti, Enrico; Goles, Eric; Martin, Bruno Computational complexity of avalanches in the Kadanoff sandpile model. (English) Zbl 1260.68173 Fundam. Inform. 115, No. 1, 107-124 (2012). Reviewer: Pierre Guillon (Marseille) MSC: 68Q25 × Cite Format Result Cite Review PDF Full Text: Link
Barbu, Viorel; Röckner, Michael Stochastic porous media equations and self-organized criticality: Convergence to the critical state in all dimensions. (English) Zbl 1238.60071 Commun. Math. Phys. 311, No. 2, 539-555 (2012). MSC: 60H15 35R60 76S05 76M35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grinfeld, Michael; Knight, Philip A.; Wade, Andrew R. Rank-driven Markov processes. (English) Zbl 1235.82047 J. Stat. Phys. 146, No. 2, 378-407 (2012). MSC: 82C22 82B26 60K35 60J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Barbu, Viorel; Da Prato, Giuseppe; Röckner, Michael Finite time extinction of solutions to fast diffusion equations driven by linear multiplicative noise. (English) Zbl 1243.60046 J. Math. Anal. Appl. 389, No. 1, 147-164 (2012). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60H10 60J60 60H30 × Cite Format Result Cite Review PDF Full Text: DOI
Kärenlampi, Petri P. Age distribution of trees in stationary forest system. (English) Zbl 1331.92085 J. Theor. Biol. 270, 13-18 (2011). MSC: 92C80 92D25 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Shapoval, A. B. Stability of a stationary critical state in a model of cluster formation. (Russian) Zbl 1249.70048 Izv. Vyssh. Uchebn. Zaved., Prikl. Nelinejn. Din. 19, No. 3, 45-55 (2011). MSC: 70K55 × Cite Format Result Cite Review PDF
Vašata, Daniel; Exner, Pavel; Šeba, Petr Urban structure analysis. (English) Zbl 1237.91186 Exner, Pavel (ed.), Mathematical results in quantum physics. Proceedings of the QMath11 conference, Hradec Králové, Czech Republc, September 6–10, 2010. Special session in honour of Ari Laptev. With DVD-ROM. Hackensack, NJ: World Scientific (ISBN 978-981-4350-35-8/hbk; 978-981-4350-36-5/ebook). 260-264 (2011). MSC: 91D10 × Cite Format Result Cite Review PDF Full Text: Link
Perrot, Kevin; Rémila, Eric Transduction on Kadanoff sand pile model avalanches, application to wave pattern emergence. (English) Zbl 1343.37011 Murlak, Filip (ed.) et al., Mathematical foundations of computer science 2011. 36th international symposium, MFCS 2011, Warsaw, Poland, August 22–26, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-22992-3/pbk). Lecture Notes in Computer Science 6907, 508-519 (2011). MSC: 37B15 68Q05 82B20 82B27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mejia, Carolina; Montoya, J. Andres On the complexity of sandpile critical avalanches. (English) Zbl 1216.68132 Theor. Comput. Sci. 412, No. 30, 3964-3974 (2011). MSC: 68Q25 68Q17 68Q80 37B15 × Cite Format Result Cite Review PDF Full Text: DOI
Moghimi-Araghi, Saman; Mollabashi, Ali Chaos in sandpile models. (English) Zbl 1217.82049 Mod. Phys. Lett. B 25, No. 8, 569-579 (2011). MSC: 82C20 37D45 82C27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Perrot, Kévin; Rémila, Eric Avalanche structure in the Kadanoff sand pile model. (English) Zbl 1330.68175 Dediu, Adrian-Horia (ed.) et al., Language and automata theory and applications. 5th international conference, LATA 2011, Tarragona, Spain, May 26–31, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-21253-6/pbk). Lecture Notes in Computer Science 6638, 427-439 (2011). MSC: 68Q45 37B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aschwanden, Markus Self-organized criticality in astrophysics. The statistics of nonlinear processes in the universe. (English) Zbl 1211.85001 Berlin: Springer; Chichester: Praxis Publishing (ISBN 978-3-642-15000-5/hbk; 978-3-642-15001-2/ebook). xiv, 416 p. (2011). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 85-02 85A35 62P35 62P25 62P20 62P12 62P10 85A30 85A15 85A40 37F35 × Cite Format Result Cite Review PDF Full Text: DOI
Araujo, S. B. L.; Viswanathan, G. M.; De Aguiar, M. A. M. Home range evolution and its implication in population outbreaks. (English) Zbl 1211.37100 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 368, No. 1933, 5661-5677 (2010). MSC: 37N25 92D15 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Holroyd, Alexander E.; Propp, James Rotor walks and Markov chains. (English) Zbl 1217.82042 Lladser, Manuel E. (ed.) et al., Algorithmic probability and combinatorics. Papers from the AMS special sessions, Chicago, IL, USA, October 5–6, 2007 and Vancouver, BC, Canada, October 4–5, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4783-1/pbk). Contemporary Mathematics 520, 105-126 (2010). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 82B41 60G50 05C81 × Cite Format Result Cite Review PDF Full Text: arXiv
Blanchard, Philippe; Röckner, Michael; Russo, Francesco Probabilistic representation for solutions of an irregular porous media type equation. (English) Zbl 1202.60111 Ann. Probab. 38, No. 5, 1870-1900 (2010). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60H30 60H10 60G46 35C99 58J65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv