caa a22 4500 467892776 CHVBK 20180406152753.0 cr unu---uuuuu 170328e20060101xx s 000 0 eng 10.1007/s10955-005-8022-x doi (NATIONALLICENCE)springer-10.1007/s10955-005-8022-x Improved Lower Bounds for the Critical Probability of Oriented Bond Percolation in Two Dimensions [Elektronische Daten] [Vladimir Belitsky, Thomas Ritchie] We present a coupled decreasing sequence of random walks on Z that dominate the edge process of oriented bond percolation in two dimensions. Using the concept of random walk in a strip, we describe an algorithm that generates an increasing sequence of lower bounds that converges to the critical probability of oriented percolation pc. From the 7th term on, these lower bounds improve upon 0.6298, the best rigorous lower bound at present, establishing 0.63328 as a rigorous lower bound for pc. Finally, a Monte Carlo simulation technique is presented; the use thereof establishes 0.64450 as a non-rigorous five-digit-precision (lower) estimate for pc. Springer Science + Business Media, Inc., 2006 Oriented percolation nationallicence Discrete time contact processes nationallicence Critical probability nationallicence Edge process nationallicence Markov chain in a strip nationallicence Coupling nationallicence Simulation nationallicence Belitsky Vladimir Universidade de São Paulo Instituto de Matemática e Estatística, Rua do Matão 1010, CEP 05508-900, São Paulo SP, Brazil aut Ritchie Thomas Universidade de São Paulo Instituto de Matemática e Estatística, Rua do Matão 1010, CEP 05508-900, São Paulo SP, Brazil aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers 122/2(2006-01-01), 279-302 0022-4715 122:2<279 2006 122 10955 https://doi.org/10.1007/s10955-005-8022-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-005-8022-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Belitsky Vladimir Universidade de São Paulo Instituto de Matemática e Estatística, Rua do Matão 1010, CEP 05508-900, São Paulo SP, Brazil aut NATIONALLICENCE 700 1- Ritchie Thomas Universidade de São Paulo Instituto de Matemática e Estatística, Rua do Matão 1010, CEP 05508-900, São Paulo SP, Brazil aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers 122/2(2006-01-01), 279-302 0022-4715 122:2<279 2006 122 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer