Found 618 Documents (Results 1–100)
Site frequency spectrum of a rescued population under rare resistant mutations. (English) Zbl 07923188
Modular automata. (English) Zbl 07898786
Minimum lethal sets in grids and tori under 3-neighbour bootstrap percolation. (English) Zbl 1542.05167
The optimal competition resolution rule for a controlled binary chain. (Russian. English summary) Zbl 07845720
Strong stochastic stability of cellular automata. arXiv:2403.19932
Preprint, arXiv:2403.19932 [math.PR] (2024).
Catalan numbers recurrence as a stationary state equation of the probabilistic cellular automaton. (English) Zbl 1540.37030
Elaydi, Saber (ed.) et al., Advances in discrete dynamical systems, difference equations and applications. ICDEA 26, Sarajevo, Bosnia and Herzegovina, July 26–30, 2021. Proceedings of the 26th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 416, 155-165 (2023).
Quasi-stationary behavior for a piecewise deterministic Markov model of chemostat: the Crump-Young model. (Comportement quasi-stationnaire d’un modèle Markovien déterministe par Morceaux de chemostat: le modèle de Crump-Young.) (English. French summary) Zbl 1532.92061
Coupling from the past for exponentially ergodic one-dimensional probabilistic cellular automata. (English) Zbl 07790269
A numerical method for solving snapping out Brownian motion in 2D bounded domains. (English) Zbl 07748065
Extremal bounds for 3-neighbor bootstrap percolation in dimensions two and three. (English) Zbl 1535.60149
Sandpile solitons in higher dimensions. (English) Zbl 1532.37014
Reviewer: Mikhail Shkolnikov (Sofia)
Bye bye, linearity, bye: quantification of the mean for linear CRNs in a random environment. (English) Zbl 1521.60043
Ergodicity of some probabilistic cellular automata with binary alphabet via random walks. (English) Zbl 1540.60206
Dynamics of the box-ball system with random initial conditions via Pitman’s transformation. (English) Zbl 1510.37002
Memoirs of the American Mathematical Society 1398. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5633-7/pbk; 978-1-4704-7399-0/ebook). vii, 99 p. (2023).
Phase-based causality analysis with partial mutual information from mixed embedding. (English) Zbl 07872790
Incorporating economic constraints for optimal control of immunizing infections. (English) Zbl 07872780
Locality of the interaction affects dynamics in probabilistic cellular automata. (English) Zbl 1508.37033
Population persistence under two conservation measures: paradox of habitat protection in a patchy environment. (English) Zbl 1508.92326
Agent-based modelling of sports riots. (English) Zbl 07515904
MSC:
82-XX
One-dimensional cellular automata with random rules: longest temporal period of a periodic solution. (English) Zbl 1510.37017
Reviewer: Silvio Capobianco (Tallinn)
Analytical description of the diffusion in a cellular automaton with the Margolus neighbourhood in terms of the two-dimensional Markov chain. arXiv:2208.03014
Preprint, arXiv:2208.03014 [math.PR] (2022).
Estimating the Long-term Behavior of Biologically Inspired Agent-based Models. arXiv:2211.00630
Preprint, arXiv:2211.00630 [math.DS] (2022).
Peierls bounds from Toom contours. arXiv:2202.10999
Preprint, arXiv:2202.10999 [math.PR] (2022).
Modeling and analytical solution of free energy of complex promoter structure. (English) Zbl 07835670
On Mealy-Moore coding and images of Markov measures. (English) Zbl 1498.37009
Trans. Mosc. Math. Soc. 2021, 89-115 (2021) and Tr. Mosk. Mat. O.-va 82, No. 1, 105-135 (2021).
Periodic solutions of one-dimensional cellular automata with uniformly chosen random rules. (English) Zbl 1493.68234
Reviewer: Silvio Capobianco (Tallinn)
Individual-based Markov model of virus diffusion: comparison with COVID-19 incubation period, serial interval and regional time series. (English) Zbl 1475.92161
Asymptotic behaviour of the one-dimensional “rock-paper-scissors” cyclic cellular automaton. (English) Zbl 1476.60114
Parallel simulation of two-dimensional Ising models using probabilistic cellular automata. (English) Zbl 1479.82036
Effect of energy degeneracy on the transition time for a series of metastable states. Application to probabilistic cellular automata. (English) Zbl 1470.60272
Competing growth processes with random growth rates and random birth times. (English) Zbl 1469.60278
Time delay induces saw-tooth calcium wave and transition in intracellular calcium oscillation. (English) Zbl 07832363
Entropic stochastic resonance in a confined asymmetrical bistable system with non-Gaussian noise. (English) Zbl 07829582
Modeling active cellular transport as a directed search process with stochastic resetting and delays. (English) Zbl 1519.92062
Target competition for resources under multiple search-and-capture events with stochastic resetting. (English) Zbl 1472.60149
Box-ball system: soliton and tree decomposition of excursions. (English) Zbl 1473.60024
López, Sergio I. (ed.) et al., XIII symposium on probability and stochastic processes. Contributions and lecture notes, Universidad Nacional Autónoma de México, UNAM, México City, Mexico, December 4–8, 2017. Cham: Birkhäuser. Prog. Probab. 75, 107-152 (2020).
Complexity of two-dimensional bootstrap percolation difficulty: algorithm and NP-hardness. (English) Zbl 1462.68070
Invasion and fixation of microbial dormancy traits under competitive pressure. (English) Zbl 1454.60134
Concomitant clusters structure creating by Hammersley-Leath-Alexandrowichz algorithm for percolation cluster generating. (Russian. English summary) Zbl 1457.82164
Duality between box-ball systems of finite box and/or carrier capacity. (English) Zbl 1461.37020
Reviewer: Hasan Akin (Gaziantep)
An improved lower bound for the critical parameter of Stavskaya’s process. (English) Zbl 1469.60344
MSC:
60K35
BBS invariant measures with independent soliton components. (English) Zbl 1451.37018
Reviewer: Laurent Bartholdi (Göttingen)
Probabilistic cellular automata with memory two: invariant laws and multidirectional reversibility. (Automates cellulaires probabilistes à mémoire deux : lois invariantes et réversibilité multidirectionnelle.) (English. French summary) Zbl 1464.37020
Ore and Chvátal-type degree conditions for bootstrap percolation from small sets. (English) Zbl 1495.05142
Bootstrap percolation on the product of the two-dimensional lattice with a Hamming square. (English) Zbl 1434.60293
Correction to: “New approach to evaluate the asymptotic distribution of particle systems expressed by probabilistic cellular automata”. (English) Zbl 1440.37022
New approach to evaluate the asymptotic distribution of particle systems expressed by probabilistic cellular automata. (English) Zbl 1440.37021
Large deviations and one-sided scaling limit of randomized multicolor box-ball system. (English) Zbl 1437.37016
Reviewer: Armand Azonnahin (São Paulo)
Weakly robust periodic solutions of one-dimensional cellular automata with random rules. arXiv:2008.03815
Preprint, arXiv:2008.03815 [math.PR] (2020).
Markov chains approach for regional controllability of deterministic cellular automata, via boundary actions. (English) Zbl 1470.93023
Determining solutions of fuzzy cellular neural networks with fluctuating delays. (English) Zbl 1474.62337
Invariant measures for the box-ball system based on stationary Markov chains and periodic Gibbs measures. (English) Zbl 1426.37013
Percolation games, probabilistic cellular automata, and the hard-core model. (English) Zbl 1418.91100
Persistence of sums of correlated increments and clustering in cellular automata. (English) Zbl 1478.60198
Stochastic geometry analysis of multi-antenna wireless networks. (English) Zbl 1447.60004
Singapore: Springer (ISBN 978-981-13-5879-1/hbk; 978-981-13-5880-7/pbk). xiv, 178 p. (2019).
Reviewer: Viktor Ohanyan (Erevan)
Spectral properties of graphs associated to the Basilica group. arXiv:1908.10505
Preprint, arXiv:1908.10505 [math.GR] (2019).
Periodic solutions of one-dimensional cellular automata with random rules. arXiv:1909.06913
Preprint, arXiv:1909.06913 [math.PR] (2019).
Land use change model based on bee colony optimization, Markov chain and a neighborhood decay cellular automata. (English) Zbl 1542.91305
Dengue fever spreading based on probabilistic cellular automata with two lattices. (English) Zbl 1514.92157
A cellular automata model for traffic flow based on kinetics theory, vehicles capabilities and driver reactions. (English) Zbl 1514.90063
Two extensions of exact nonequilibrium steady states of a boundary-driven cellular automaton. (English) Zbl 1408.37117
The impact of exclusion processes on angiogenesis models. (English) Zbl 1406.35160
Reviewer: Christian Stinner (Darmstadt)
Convergence time of probabilistic cellular automata on the torus. (English) Zbl 1402.37022
Louis, Pierre-Yves (ed.) et al., Probabilistic cellular automata. Theory, applications and future perspectives. Cham: Springer (ISBN 978-3-319-65556-7/hbk; 978-3-319-65558-1/ebook). Emergence, Complexity and Computation 27, 179-196 (2018).
Scaling and inverse scaling in anisotropic bootstrap percolation. (English) Zbl 1402.37023
Louis, Pierre-Yves (ed.) et al., Probabilistic cellular automata. Theory, applications and future perspectives. Cham: Springer (ISBN 978-3-319-65556-7/hbk; 978-3-319-65558-1/ebook). Emergence, Complexity and Computation 27, 69-77 (2018).
Edge correlation function of the 8-vertex model when \(a + c = b + d\). (English) Zbl 1406.82006
Reviewer: Utkir A. Rozikov (Tashkent)
Phase transitions in stochastic non-linear threshold Boolean automata networks on \(\mathbb{Z}^2\): the boundary impact. (English) Zbl 1391.37008
Bayesian inference of agent-based models: a tool for studying kidney branching morphogenesis. (English) Zbl 1390.92022
MSC:
92C15
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