Camia, Federico; Jiang, Jianping; Newman, Charles M. Ising model with Curie-Weiss perturbation. (English) Zbl 1489.82007 J. Stat. Phys. 188, No. 1, Paper No. 5, 23 p. (2022). MSC: 82B20 82B27 82D40 60K35 PDFBibTeX XMLCite \textit{F. Camia} et al., J. Stat. Phys. 188, No. 1, Paper No. 5, 23 p. (2022; Zbl 1489.82007) Full Text: DOI arXiv
Camia, Federico; Jiang, Jianping; Newman, Charles M. The effect of free boundary conditions on the Ising model in high dimensions. (English) Zbl 1489.60153 Probab. Theory Relat. Fields 181, No. 1-3, 311-328 (2021). MSC: 60K35 82B20 82B27 PDFBibTeX XMLCite \textit{F. Camia} et al., Probab. Theory Relat. Fields 181, No. 1--3, 311--328 (2021; Zbl 1489.60153) Full Text: DOI arXiv
Arguin, L.-P.; Newman, C. M.; Stein, D. L. Ground state stability in two spin glass models. (English) Zbl 1469.60299 Vares, Maria Eulália (ed.) et al., In and out of equilibrium 3: celebrating Vladas Sidoravicius. Cham: Birkhäuser. Prog. Probab. 77, 17-25 (2021). MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{L. P. Arguin} et al., Prog. Probab. 77, 17--25 (2021; Zbl 1469.60299) Full Text: DOI arXiv
Camia, Federico; Jiang, Jianping; Newman, Charles M. Conformal measure ensembles and planar Ising magnetization: a review. (English) Zbl 1469.60311 Markov Process. Relat. Fields 27, No. 4, 631-663 (2021). MSC: 60K35 82B20 82B27 81T27 81T40 PDFBibTeX XMLCite \textit{F. Camia} et al., Markov Process. Relat. Fields 27, No. 4, 631--663 (2021; Zbl 1469.60311) Full Text: arXiv
Camia, Federico; Jiang, Jianping; Newman, Charles M. The Gaussian process for particle masses in the near-critical Ising model. arXiv:2111.05134 Preprint, arXiv:2111.05134 [math.PR] (2021). MSC: 60K35 82B20 82B27 81T40 BibTeX Cite \textit{F. Camia} et al., ``The Gaussian process for particle masses in the near-critical Ising model'', Preprint, arXiv:2111.05134 [math.PR] (2021) Full Text: arXiv OA License
Newman, Charles M.; Wu, Wei Constants of de Bruijn-Newman type in analytic number theory and statistical physics. (English) Zbl 1469.11312 Bull. Am. Math. Soc., New Ser. 57, No. 4, 595-614 (2020). MSC: 11M26 30C15 60K35 PDFBibTeX XMLCite \textit{C. M. Newman} and \textit{W. Wu}, Bull. Am. Math. Soc., New Ser. 57, No. 4, 595--614 (2020; Zbl 1469.11312) Full Text: DOI arXiv
Song, Eric Yilun; Gheissari, Reza; Newman, Charles M.; Stein, Daniel L. Local minima in disordered mean-field ferromagnets. (English) Zbl 1445.82002 J. Stat. Phys. 180, No. 1-6, 576-596 (2020). MSC: 82B44 82D40 82B20 82D30 05C80 60J22 PDFBibTeX XMLCite \textit{E. Y. Song} et al., J. Stat. Phys. 180, No. 1--6, 576--596 (2020; Zbl 1445.82002) Full Text: DOI arXiv
Bock, Bounghun; Damron, Michael; Newman, C. M.; Sidoravicius, Vladas Percolation of finite clusters and shielded paths. (English) Zbl 1445.60073 J. Stat. Phys. 179, No. 3, 789-807 (2020). MSC: 60K35 PDFBibTeX XMLCite \textit{B. Bock} et al., J. Stat. Phys. 179, No. 3, 789--807 (2020; Zbl 1445.60073) Full Text: DOI arXiv
Camia, Federico; Jiang, Jianping; Newman, Charles M. FK-Ising coupling applied to near-critical planar models. (English) Zbl 1475.82002 Stochastic Processes Appl. 130, No. 2, 560-583 (2020). MSC: 82B20 60K35 82B27 82D40 PDFBibTeX XMLCite \textit{F. Camia} et al., Stochastic Processes Appl. 130, No. 2, 560--583 (2020; Zbl 1475.82002) Full Text: DOI arXiv
Arguin, L.-P.; Newman, C. M.; Stein, D. L. A relation between disorder chaos and incongruent states in spin glasses on \({\mathbb{Z}^d}\). (English) Zbl 1416.82044 Commun. Math. Phys. 367, No. 3, 1019-1043 (2019). MSC: 82D30 82B44 PDFBibTeX XMLCite \textit{L. P. Arguin} et al., Commun. Math. Phys. 367, No. 3, 1019--1043 (2019; Zbl 1416.82044) Full Text: DOI arXiv
Gheissari, Reza; Newman, Charles M.; Stein, Daniel L. Zero-temperature dynamics in the dilute Curie-Weiss model. (English) Zbl 1407.82025 J. Stat. Phys. 172, No. 4, 1009-1028 (2018). MSC: 82B44 82B20 05C80 82D40 PDFBibTeX XMLCite \textit{R. Gheissari} et al., J. Stat. Phys. 172, No. 4, 1009--1028 (2018; Zbl 1407.82025) Full Text: DOI arXiv
Newman, Charles M.; Wu, Wei Gaussian fluctuations for the classical XY model. (English. French summary) Zbl 1417.60081 Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 4, 1759-1777 (2018). MSC: 60K35 82B20 60F17 60G60 PDFBibTeX XMLCite \textit{C. M. Newman} and \textit{W. Wu}, Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 4, 1759--1777 (2018; Zbl 1417.60081) Full Text: DOI arXiv Euclid
Camia, Federico; Jiang, Jianping; Newman, Charles M. A note on exponential decay in the random field Ising model. (English) Zbl 1401.60175 J. Stat. Phys. 173, No. 2, 268-284 (2018). MSC: 60K35 82B20 82B43 PDFBibTeX XMLCite \textit{F. Camia} et al., J. Stat. Phys. 173, No. 2, 268--284 (2018; Zbl 1401.60175) Full Text: DOI arXiv
Abraham, Douglas; Newman, Charles M.; Shlosman, Senya A continuum of pure states in the Ising model on a halfplane. (English) Zbl 1401.82007 J. Stat. Phys. 172, No. 2, 611-626 (2018). MSC: 82B20 82D40 82B23 PDFBibTeX XMLCite \textit{D. Abraham} et al., J. Stat. Phys. 172, No. 2, 611--626 (2018; Zbl 1401.82007) Full Text: DOI arXiv
Newman, C. M.; Ravishankar, K.; Schertzer, E. Perturbations of voter model in one-dimension. (English) Zbl 1362.60088 Electron. J. Probab. 22, Paper No. 34, 42 p. (2017). MSC: 60K35 60F17 60G55 60J65 PDFBibTeX XMLCite \textit{C. M. Newman} et al., Electron. J. Probab. 22, Paper No. 34, 42 p. (2017; Zbl 1362.60088) Full Text: DOI arXiv Euclid
Arguin, Louis-Pierre; Newman, C. M.; Stein, Daniel L.; Wehr, J. Zero-temperature fluctuations in short-range spin glasses. (English) Zbl 1342.82077 J. Stat. Phys. 163, No. 5, 1069-1078 (2016). MSC: 82B44 82D30 82B20 PDFBibTeX XMLCite \textit{L.-P. Arguin} et al., J. Stat. Phys. 163, No. 5, 1069--1078 (2016; Zbl 1342.82077) Full Text: DOI arXiv
Damron, Michael; Kogan, Hana; Newman, Charles M.; Sidoravicius, Vladas Coarsening with a frozen vertex. (English) Zbl 1336.60186 Electron. Commun. Probab. 21, Paper No. 9, 4 p. (2016). MSC: 60K35 82C22 PDFBibTeX XMLCite \textit{M. Damron} et al., Electron. Commun. Probab. 21, Paper No. 9, 4 p. (2016; Zbl 1336.60186) Full Text: DOI Euclid
Camia, Federico; Garban, Christophe; Newman, Charles M. Planar Ising magnetization field. II: Properties of the critical and near-critical scaling limits. (English. French summary) Zbl 1338.82009 Ann. Inst. Henri Poincaré, Probab. Stat. 52, No. 1, 146-161 (2016). Reviewer: Guy Jumarie (Montréal) MSC: 82B20 82B27 60K35 PDFBibTeX XMLCite \textit{F. Camia} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 52, No. 1, 146--161 (2016; Zbl 1338.82009) Full Text: DOI arXiv
Damron, Michael; Newman, Charles M.; Sidoravicius, Vladas Absence of site percolation at criticality in \(\mathbb{Z}^2\times\{0,1\}\). (English) Zbl 1328.60209 Random Struct. Algorithms 47, No. 2, 328-340 (2015). Reviewer: Boris Granovsky (Haifa) MSC: 60K35 82B20 PDFBibTeX XMLCite \textit{M. Damron} et al., Random Struct. Algorithms 47, No. 2, 328--340 (2015; Zbl 1328.60209) Full Text: DOI arXiv
Eckner, Sinziana M.; Newman, Charles M. Fixation to consensus on tree-related graphs. (English) Zbl 1327.60186 ALEA, Lat. Am. J. Probab. Math. Stat. 12, No. 1, 357-374 (2015). MSC: 60K35 60J27 05C05 82C22 94C15 PDFBibTeX XMLCite \textit{S. M. Eckner} and \textit{C. M. Newman}, ALEA, Lat. Am. J. Probab. Math. Stat. 12, No. 1, 357--374 (2015; Zbl 1327.60186) Full Text: arXiv Link
Damron, M.; Eckner, S. M.; Kogan, H.; Newman, C. M.; Sidoravicius, V. Coarsening dynamics on \(\mathbb{Z}^d\) with frozen vertices. (English) Zbl 1327.82049 J. Stat. Phys. 160, No. 1, 60-72 (2015). MSC: 82C20 82D40 60J25 60K37 PDFBibTeX XMLCite \textit{M. Damron} et al., J. Stat. Phys. 160, No. 1, 60--72 (2015; Zbl 1327.82049) Full Text: DOI arXiv
Holmes, Mark; Mohylevskyy, Yevhen; Newman, Charles M. The voter model chordal interface in two dimensions. (English) Zbl 1328.82024 J. Stat. Phys. 159, No. 4, 937-957 (2015). MSC: 82B41 60K35 82C22 82C24 82B43 91B12 PDFBibTeX XMLCite \textit{M. Holmes} et al., J. Stat. Phys. 159, No. 4, 937--957 (2015; Zbl 1328.82024) Full Text: DOI arXiv
Camia, Federico; Garban, Christophe; Newman, Charles M. Planar Ising magnetization field. I: Uniqueness of the critical scaling limit. (English) Zbl 1332.82012 Ann. Probab. 43, No. 2, 528-571 (2015). Reviewer: Maria Christina Mariani (El Paso) MSC: 82B20 82B27 60K35 60G20 60G60 PDFBibTeX XMLCite \textit{F. Camia} et al., Ann. Probab. 43, No. 2, 528--571 (2015; Zbl 1332.82012) Full Text: DOI arXiv Euclid
Newman, C. M.; Ravishankar, K.; Schertzer, E. Brownian net with killing. (English) Zbl 1327.60192 Stochastic Processes Appl. 125, No. 3, 1148-1194 (2015). MSC: 60K35 60G60 60J65 60J80 60G50 PDFBibTeX XMLCite \textit{C. M. Newman} et al., Stochastic Processes Appl. 125, No. 3, 1148--1194 (2015; Zbl 1327.60192) Full Text: DOI arXiv
Ramírez, Alejandro F. (ed.); Ben Arous, Gérard (ed.); Ferrari, Pablo A. (ed.); Newman, Charles M. (ed.); Sidoravicius, Vladas (ed.); Vares, Maria Eulália (ed.) Topics in percolative and disordered systems. Pan-American Advanced Studies Institute (PASI), Santiago de Chile, Chile and Buenos Aires, Argentina, January 2012. (English) Zbl 1319.82003 Springer Proceedings in Mathematics & Statistics 69. New York, NY: Springer (ISBN 978-1-4939-0338-2/hbk; 978-1-4939-0339-9/ebook). xi, 171 p. (2014). MSC: 82-06 82B44 82B43 00B25 00A79 PDFBibTeX XMLCite \textit{A. F. Ramírez} (ed.) et al., Topics in percolative and disordered systems. Pan-American Advanced Studies Institute (PASI), Santiago de Chile, Chile and Buenos Aires, Argentina, January 2012. New York, NY: Springer (2014; Zbl 1319.82003) Full Text: DOI
Camia, Federico; Garban, Christophe; Newman, Charles M. The Ising magnetization exponent on \(\mathbb{Z }^2\) is \(1/15\). (English) Zbl 1307.82004 Probab. Theory Relat. Fields 160, No. 1-2, 175-187 (2014). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B20 82B27 60K35 82B43 PDFBibTeX XMLCite \textit{F. Camia} et al., Probab. Theory Relat. Fields 160, No. 1--2, 175--187 (2014; Zbl 1307.82004) Full Text: DOI arXiv
Arguin, L.-p.; Newman, C. M.; Stein, D. L.; Wehr, J. Fluctuation bounds for interface free energies in spin glasses. (English) Zbl 1305.82030 J. Stat. Phys. 156, No. 2, 221-238 (2014). Reviewer: Guy Jumarie (Montréal) MSC: 82B44 82D30 PDFBibTeX XMLCite \textit{L. p. Arguin} et al., J. Stat. Phys. 156, No. 2, 221--238 (2014; Zbl 1305.82030) Full Text: DOI arXiv
Damron, Michael; Kogan, Hana; Newman, Charles M.; Sidoravicius, Vladas Fixation for coarsening dynamics in 2D slabs. (English) Zbl 1284.82038 Electron. J. Probab. 18, Paper No. 105, 20 p. (2013). MSC: 82C20 60K35 82B43 PDFBibTeX XMLCite \textit{M. Damron} et al., Electron. J. Probab. 18, Paper No. 105, 20 p. (2013; Zbl 1284.82038) Full Text: DOI arXiv
Mohylevskyy, Y.; Newman, C. M.; Ravishankar Pages, K. Ergodicity and percolation for variants of one-dimensional voter models. (English) Zbl 1277.60180 ALEA, Lat. Am. J. Probab. Math. Stat. 10, No. 1, 485-504 (2013). MSC: 60K35 82B43 82C22 PDFBibTeX XMLCite \textit{Y. Mohylevskyy} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 10, No. 1, 485--504 (2013; Zbl 1277.60180) Full Text: arXiv
Stein, Daniel; Newman, Charles M. Spin glasses and complexity. (English) Zbl 1277.82003 Princeton, NJ: Princeton University Press (ISBN 978-0-691-14733-8/pbk; 978-1-400-84563-7/ebook). xviii, 317 p. (2013). Reviewer: Georg Hebermehl (Berlin) MSC: 82-01 82D30 82B44 68Q15 PDFBibTeX XMLCite \textit{D. Stein} and \textit{C. M. Newman}, Spin glasses and complexity. Princeton, NJ: Princeton University Press (2013; Zbl 1277.82003)
Ellwood, David (ed.); Newman, Charles (ed.); Sidoravicius, Vladas (ed.); Werner, Wendelin (ed.) Probability and statistical physics in two and more dimensions. Proceedings of the Clay Mathematics Institute summer school and XIV Brazilian school of probability, Búzios, Brazil, July 11–August 7, 2010. (English) Zbl 1254.60006 Clay Mathematics Proceedings 15. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-6863-8/pbk). ix, 467 p. (2012). MSC: 60-06 60J67 60K35 28A80 82Bxx 92D20 00B25 PDFBibTeX XMLCite \textit{D. Ellwood} (ed.) et al., Probability and statistical physics in two and more dimensions. Proceedings of the Clay Mathematics Institute summer school and XIV Brazilian school of probability, Búzios, Brazil, July 11--August 7, 2010. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (2012; Zbl 1254.60006)
Newman, C. M.; Ravishankar, K.; Schertzer, E. Marking \((1, 2)\) points of the Brownian web and applications. (English) Zbl 1198.60044 Ann. Inst. Henri Poincaré, Probab. Stat. 46, No. 2, 537-574 (2010). MSC: 60K35 60J70 82C21 PDFBibTeX XMLCite \textit{C. M. Newman} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 46, No. 2, 537--574 (2010; Zbl 1198.60044) Full Text: DOI arXiv EuDML
Hilário, M. R.; Louidor, O.; Newman, C. M.; Rolla, L. T.; Sheffield, S.; Sidoravicius, V. Fixation for distributed clustering processes. (English) Zbl 1202.60156 Commun. Pure Appl. Math. 63, No. 7, 926-934 (2010). Reviewer: Nikolaos Fountoulakis (Saarbrücken) MSC: 60K35 60D05 05C90 PDFBibTeX XMLCite \textit{M. R. Hilário} et al., Commun. Pure Appl. Math. 63, No. 7, 926--934 (2010; Zbl 1202.60156) Full Text: DOI arXiv
Machta, J.; Newman, C. M.; Stein, D. L. A percolation-theoretic approach to spin glass phase transitions. (English) Zbl 1194.82044 Boutet de Monvel, Anne (ed.) et al., Spin glasses: Statics and dynamics, summer school, Paris, France, June 25 to July 6, 2007. Basel: Birkhäuser (ISBN 978-3-7643-8999-4/hbk; 978-3-7643-9891-0/ebook). Progress in Probability 62, 205-223 (2009). MSC: 82B44 82D30 82B80 60K35 82B43 82B26 82D40 PDFBibTeX XMLCite \textit{J. Machta} et al., Prog. Probab. 62, 205--223 (2009; Zbl 1194.82044) Full Text: arXiv
Newman, Charles M.; Stein, Daniel L. Metastates, translation ergodicity, and simplicity of thermodynamic states in disordered systems: an illustration. (English) Zbl 1176.82017 Sidoravičius, Vladas (ed.), New trends in mathematical physics. Selected contributions of the XVth international congress on mathematical physics, Rio de Janeiro, Brazil, August 5–11, 2006. Dordrecht: Springer (ISBN 978-90-481-2809-9/hbk; 978-90-481-2810-5/ebook). 643-652 (2009). MSC: 82B44 82B30 82D30 PDFBibTeX XMLCite \textit{C. M. Newman} and \textit{D. L. Stein}, in: New trends in mathematical physics. Selected contributions of the XVth international congress on mathematical physics, Rio de Janeiro, Brazil, August 5--11, 2006. Dordrecht: Springer. 643--652 (2009; Zbl 1176.82017) Full Text: DOI
Fontes, L. R. G.; Newman, C. M.; Ravishankar, K.; Schertzer, E. Exceptional times for the dynamical discrete web. (English) Zbl 1172.60334 Stochastic Processes Appl. 119, No. 9, 2832-2858 (2009). MSC: 60K35 60G17 60G50 PDFBibTeX XMLCite \textit{L. R. G. Fontes} et al., Stochastic Processes Appl. 119, No. 9, 2832--2858 (2009; Zbl 1172.60334) Full Text: DOI arXiv
Camia, Federico; Newman, Charles M. \(\mathrm{SLE}_6\) and \(\mathrm{CLE}_6\) from critical percolation. (English) Zbl 1214.82034 Pinsky, Mark (ed.) et al., Probability, geometry and integrable systems. For Henry McKean’s seventy-fifth birthday. Cambridge: Cambridge University Press (ISBN 978-0-521-89527-9/hbk). Mathematical Sciences Research Institute Publications 55, 103-130 (2008). MSC: 82B27 60K35 82B43 60D05 30C35 PDFBibTeX XMLCite \textit{F. Camia} and \textit{C. M. Newman}, Math. Sci. Res. Inst. Publ. 55, 103--130 (2008; Zbl 1214.82034) Full Text: arXiv Link
Machta, J.; Newman, C. M.; Stein, D. L. Percolation in the Sherrington-Kirkpatrick spin glass. (English) Zbl 1173.82332 Sidoravicius, Vladas (ed.) et al., In and out of equilibrium 2. Papers celebrating the 10th edition of the Brazilian school of probability (EBP), Rio de Janiero, Brazil, July 30 to August 4, 2006. Basel: Birkhäuser (ISBN 978-3-7643-8785-3/hbk). Progress in Probability 60, 527-542 (2008). MSC: 82B44 60K35 05C80 82B43 60K37 82D30 PDFBibTeX XMLCite \textit{J. Machta} et al., Prog. Probab. 60, 527--542 (2008; Zbl 1173.82332) Full Text: arXiv
Camia, Federico; Newman, Charles M. Critical percolation exploration path and \(\mathrm{SLE}_{6}\): a proof of convergence. (English) Zbl 1126.82007 Probab. Theory Relat. Fields 139, No. 3-4, 473-519 (2007). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 82B27 60K35 82B43 60D05 30C35 PDFBibTeX XMLCite \textit{F. Camia} and \textit{C. M. Newman}, Probab. Theory Relat. Fields 139, No. 3--4, 473--519 (2007; Zbl 1126.82007) Full Text: DOI arXiv
Fontes, L. R. G.; Newman, C. M.; Ravishankar, K.; Schertzer, E. The Dynamical Discrete Web. arXiv:0704.2706 Preprint, arXiv:0704.2706 [math.PR] (2007). MSC: 60K35 60K37 60J65 60F05 BibTeX Cite \textit{L. R. G. Fontes} et al., ``The Dynamical Discrete Web'', Preprint, arXiv:0704.2706 [math.PR] (2007) Full Text: arXiv
Newman, C. M.; Stein, D. L. Short-range spin glasses: selected open problems. (English) Zbl 1458.82023 Bovier, Anton (ed.) et al., Mathematical statistical physics. École d’Été de Physique des Houches session LXXXIII, ESF Summer school École thématique du CNRS, Les Houches, France, July 4–29, 2005. Amsterdam: Elsevier. 273-293 (2006). MSC: 82D30 82B44 60K35 82-02 PDFBibTeX XMLCite \textit{C. M. Newman} and \textit{D. L. Stein}, in: Mathematical statistical physics. École d'Été de Physique des Houches session LXXXIII, ESF Summer school École thématique du CNRS, Les Houches, France, July 4--29, 2005. Amsterdam: Elsevier. 273--293 (2006; Zbl 1458.82023) Full Text: DOI
Camia, Federico; Newman, Charles M. Two-dimensional critical percolation: the full scaling limit. (English) Zbl 1117.60086 Commun. Math. Phys. 268, No. 1, 1-38 (2006). Reviewer: Jiří Černý (Lausanne) MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{F. Camia} and \textit{C. M. Newman}, Commun. Math. Phys. 268, No. 1, 1--38 (2006; Zbl 1117.60086) Full Text: DOI arXiv
Camia, Federico; Fontes, Luiz Renato G.; Newman, Charles M. Two-dimensional scaling limits via marked nonsimple loops. (English) Zbl 1109.60326 Bull. Braz. Math. Soc. (N.S.) 37, No. 4, 537-559 (2006). MSC: 60K35 82B43 82B27 60G57 60K37 82B24 82B28 PDFBibTeX XMLCite \textit{F. Camia} et al., Bull. Braz. Math. Soc. (N.S.) 37, No. 4, 537--559 (2006; Zbl 1109.60326) Full Text: DOI arXiv
Newman, C. M.; Ravishankar, K. Convergence of the Tóth lattice filling curve to the Tóth-Werner plane filling curve. (English) Zbl 1110.65010 ALEA, Lat. Am. J. Probab. Math. Stat. 1, 333-345 (2006). Reviewer: Silvia Curteanu (Iaşi) MSC: 65C35 60J65 PDFBibTeX XMLCite \textit{C. M. Newman} and \textit{K. Ravishankar}, ALEA, Lat. Am. J. Probab. Math. Stat. 1, 333--345 (2006; Zbl 1110.65010)
Fontes, L. R. G.; Isopi, M.; Newman, C. M.; Ravishankar, K. Coarsening, nucleation, and the marked Brownian web. (English) Zbl 1087.60072 Ann. Inst. Henri Poincaré, Probab. Stat. 42, No. 1, 37-60 (2006). MSC: 60K35 82C21 60D05 60J65 PDFBibTeX XMLCite \textit{L. R. G. Fontes} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 42, No. 1, 37--60 (2006; Zbl 1087.60072) Full Text: DOI arXiv Numdam Numdam EuDML
Newman, Charles M.; Ravishankar, Krishnamurthi; Sun, Rongfeng Convergence of coalescing nonsimple random walks to the Brownian web. (English) Zbl 1067.60099 Electron. J. Probab. 10, Paper No. 2, 21-60 (2005). Reviewer: Piotr Garbaczewski (Zielona Góra) MSC: 60K35 60J65 60D05 82C22 PDFBibTeX XMLCite \textit{C. M. Newman} et al., Electron. J. Probab. 10, Paper No. 2, 21--60 (2005; Zbl 1067.60099) Full Text: DOI arXiv EuDML EMIS
Camia, Federico; Newman, Charles M. The Full Scaling Limit of Two-Dimensional Critical Percolation. arXiv:math/0504036 Preprint, arXiv:math/0504036 [math.PR] (2005). MSC: 82B27 60K35 82B43 60D05 30C35 BibTeX Cite \textit{F. Camia} and \textit{C. M. Newman}, ``The Full Scaling Limit of Two-Dimensional Critical Percolation'', Preprint, arXiv:math/0504036 [math.PR] (2005) Full Text: arXiv
Camia, Federico; Newman, Charles M. Continuum nonsimple loops and 2D critical percolation. (English) Zbl 1142.82332 J. Stat. Phys. 116, No. 1-4, 157-173 (2004). MSC: 82B27 82B23 82B43 PDFBibTeX XMLCite \textit{F. Camia} and \textit{C. M. Newman}, J. Stat. Phys. 116, No. 1--4, 157--173 (2004; Zbl 1142.82332) Full Text: DOI arXiv
Fontes, L. R. G.; Isopi, M.; Newman, C. M.; Ravishankar, K. The Brownian web: characterization and convergence. (English) Zbl 1105.60075 Ann. Probab. 32, No. 4, 2857-2883 (2004). Reviewer: Alessandro Pellegrinotti (Roma) MSC: 60K35 60J65 60F17 82B41 60D05 PDFBibTeX XMLCite \textit{L. R. G. Fontes} et al., Ann. Probab. 32, No. 4, 2857--2883 (2004; Zbl 1105.60075) Full Text: DOI arXiv
Camia, Federico; Newman, Charles M.; Sidoravicius, Vladas A particular bit of universality: scaling limits of some dependent percolation models. (English) Zbl 1126.82012 Commun. Math. Phys. 246, No. 2, 311-332 (2004). MSC: 82B43 60K35 82C43 PDFBibTeX XMLCite \textit{F. Camia} et al., Commun. Math. Phys. 246, No. 2, 311--332 (2004; Zbl 1126.82012) Full Text: DOI arXiv
Howard, C. Douglas; Newman, Charles M. The percolation transition for the zero-temperature stochastic Ising model on the hexagonal lattice. (English) Zbl 1014.82029 J. Stat. Phys. 111, No. 1-2, 57-62 (2003). MSC: 82C43 60K35 82C80 PDFBibTeX XMLCite \textit{C. D. Howard} and \textit{C. M. Newman}, J. Stat. Phys. 111, No. 1--2, 57--62 (2003; Zbl 1014.82029) Full Text: DOI
Fontes, L. R. G.; Isopi, M.; Newman, C. M.; Ravishankar, K. The Brownian Web: Characterization and Convergence. arXiv:math/0304119 Preprint, arXiv:math/0304119 [math.PR] (2003). MSC: 60K35 60J65 60F17 82B41 60D05 BibTeX Cite \textit{L. R. G. Fontes} et al., ``The Brownian Web: Characterization and Convergence'', Preprint, arXiv:math/0304119 [math.PR] (2003) Full Text: arXiv
Camia, F.; Newman, C. M.; Sidoravicius, V. Cardy’s formula for some dependent percolation models. (English) Zbl 1023.82002 Bull. Braz. Math. Soc. (N.S.) 33, No. 2, 147-156 (2002). MSC: 82B27 60K35 82B43 82C20 82C43 37B15 PDFBibTeX XMLCite \textit{F. Camia} et al., Bull. Braz. Math. Soc. (N.S.) 33, No. 2, 147--156 (2002; Zbl 1023.82002) Full Text: DOI arXiv
Camia, Federico; De Santis, Emilio; Newman, Charles M. Clusters and recurrence in the two-dimensional zero-temperature stochastic Ising model. (English) Zbl 1020.60094 Ann. Appl. Probab. 12, No. 2, 565-580 (2002). Reviewer: Ulrich Horst (Berlin) MSC: 60K35 82C22 82C20 PDFBibTeX XMLCite \textit{F. Camia} et al., Ann. Appl. Probab. 12, No. 2, 565--580 (2002; Zbl 1020.60094) Full Text: DOI arXiv
Camia, Federico; Newman, Charles M.; Sidoravicius, Vladas Approach to fixation for zero-temperature stochastic Ising models on the hexagonal lattice. (English) Zbl 1011.60084 Sidoravicius, Vladas (ed.), In and out of equilibrium. Probability with a physics flavor. Papers from the 4th Brazilian school of probability, Mambucaba, Brazil, August 14-19, 2000. Boston: Birkhäuser. Prog. Probab. 51, 163-183 (2002). Reviewer: N.N.Ganikhodjaev (Tashkent) MSC: 60K35 37B15 82C20 82C22 60K37 PDFBibTeX XMLCite \textit{F. Camia} et al., Prog. Probab. 51, 163--183 (2002; Zbl 1011.60084) Full Text: arXiv
Newman, C. M.; Stein, D. L. The state(s) of replica symmetry breaking: mean field theories vs. short-ranged spin glasses. (English) Zbl 0993.82028 J. Stat. Phys. 106, No. 1-2, 213-244 (2002). MSC: 82B44 82D30 PDFBibTeX XMLCite \textit{C. M. Newman} and \textit{D. L. Stein}, J. Stat. Phys. 106, No. 1--2, 213--244 (2002; Zbl 0993.82028) Full Text: DOI arXiv
Howard, C. Douglas; Newman, Charles M. Geodesics and spanning trees for Euclidean first-passage percolation. (English) Zbl 1062.60099 Ann. Probab. 29, No. 2, 577-623 (2001). Reviewer: Ostap Hryniv (Durham) MSC: 60K35 82D30 60F10 60G55 PDFBibTeX XMLCite \textit{C. D. Howard} and \textit{C. M. Newman}, Ann. Probab. 29, No. 2, 577--623 (2001; Zbl 1062.60099) Full Text: arXiv
Newman, C. M.; Stein, D. L. Are there incongruent ground states in 2D Edwards-Anderson spin glasses? (English) Zbl 1051.82013 Commun. Math. Phys. 224, No. 1, 205-218 (2001). MSC: 82B44 60K35 82B43 PDFBibTeX XMLCite \textit{C. M. Newman} and \textit{D. L. Stein}, Commun. Math. Phys. 224, No. 1, 205--218 (2001; Zbl 1051.82013) Full Text: DOI arXiv
Gandolfi, A.; Newman, C. M.; Stein, D. L. Zero-temperature dynamics of \(\pm J\) spin glasses and related models. (English) Zbl 0978.82098 Commun. Math. Phys. 214, No. 2, 373-387 (2000). MSC: 82D30 82C20 82C44 PDFBibTeX XMLCite \textit{A. Gandolfi} et al., Commun. Math. Phys. 214, No. 2, 373--387 (2000; Zbl 0978.82098) Full Text: DOI arXiv
Nanda, S.; Newman, C. M.; Stein, D. L. Dynamics of Ising spin systems at zero temperature. (English) Zbl 0968.60097 Minlos, R. A. (ed.) et al., On Dobrushin’s way. From probability theory to statistical physics. Providence, RI: AMS, American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 198(47), 183-194 (2000). Reviewer: Ostap Hryniv (Lausanne) MSC: 60K35 82C44 82D30 PDFBibTeX XMLCite \textit{S. Nanda} et al., Transl., Ser. 2, Am. Math. Soc. 198, 183--194 (2000; Zbl 0968.60097)
Newman, Charles M.; Stein, Daniel L. Short-range spin glasses: a status report. (English) Zbl 1253.82049 De Wit, David (ed.) et al., 12th international congress of mathematical physics (ICMP’97). Proceedings of the congress held in Brisbane, Australia, July 13–19, 1997. Cambridge, MA: International Press (ISBN 1-57146-055-1). 167-172 (1999). MSC: 82B44 82D30 82-02 PDFBibTeX XMLCite \textit{C. M. Newman} and \textit{D. L. Stein}, in: 12th international congress of mathematical physics (ICMP'97). Proceedings of the congress held in Brisbane, Australia, July 13--19, 1997. Cambridge, MA: International Press. 167--172 (1999; Zbl 1253.82049)
Howard, C. Douglas; Newman, Charles M. From greedy lattice animals to Euclidean first-passage percolation. (English) Zbl 0941.60054 Bramson, Maury (ed.) et al., Perplexing problems in probability. Festschrift in honor of Harry Kesten. Boston: Birkhäuser. Prog. Probab. 44, 107-119 (1999). MSC: 60F10 60K35 82B41 82D30 PDFBibTeX XMLCite \textit{C. D. Howard} and \textit{C. M. Newman}, Prog. Probab. 44, 107--119 (1999; Zbl 0941.60054)
Fontes, L. R. G.; Isopi, M.; Newman, C. M. Chaotic time dependence in a disordered spin system. (English) Zbl 0954.60094 Probab. Theory Relat. Fields 115, No. 3, 417-443 (1999). Reviewer: Ostap Hryniv (Lausanne) MSC: 60K35 82B44 PDFBibTeX XMLCite \textit{L. R. G. Fontes} et al., Probab. Theory Relat. Fields 115, No. 3, 417--443 (1999; Zbl 0954.60094) Full Text: DOI
Newman, C. M.; Stein, D. L. Equilibrium pure states and nonequilibrium chaos. (English) Zbl 0958.82046 J. Stat. Phys. 94, No. 3-4, 709-722 (1999). MSC: 82C44 60K35 37A60 82C20 PDFBibTeX XMLCite \textit{C. M. Newman} and \textit{D. L. Stein}, J. Stat. Phys. 94, No. 3--4, 709--722 (1999; Zbl 0958.82046) Full Text: arXiv
Newman, Charles M.; Stein, Daniel L. Thermodynamic chaos and the structure of short-range spin glasses. (English) Zbl 0896.60078 Bovier, Anton (ed.) et al., Mathematical aspects of spin glasses and neural networks. Boston, MA: Birkhäuser. Prog. Probab. 41, 243-287 (1998). MSC: 60K35 82B20 PDFBibTeX XMLCite \textit{C. M. Newman} and \textit{D. L. Stein}, Prog. Probab. 41, 243--287 (1998; Zbl 0896.60078)
Newman, Charles M.; Wu, C. Chris Percolation and contact processes with low-dimensional inhomogeneity. (English) Zbl 0901.60074 Ann. Probab. 25, No. 4, 1832-1845 (1997). Reviewer: P.Holicky (Praha) MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{C. M. Newman} and \textit{C. C. Wu}, Ann. Probab. 25, No. 4, 1832--1845 (1997; Zbl 0901.60074) Full Text: DOI
Newman, Charles M. Topics in disordered systems. (English) Zbl 0897.60093 Lectures in Mathematics, ETH Zürich. Basel: Birkhäuser. viii, 88 p. (1997). Reviewer: A.Bovier (Berlin) MSC: 60K35 60-01 82-01 00A79 82B44 82D30 PDFBibTeX XMLCite \textit{C. M. Newman}, Topics in disordered systems. Basel: Birkhäuser (1997; Zbl 0897.60093)
Howard, C. Douglas; Newman, Charles M. Euclidean models of first-passage percolation. (English) Zbl 0883.60091 Probab. Theory Relat. Fields 108, No. 2, 153-170 (1997). MSC: 60K35 60G55 60D05 82D30 PDFBibTeX XMLCite \textit{C. D. Howard} and \textit{C. M. Newman}, Probab. Theory Relat. Fields 108, No. 2, 153--170 (1997; Zbl 0883.60091) Full Text: DOI
Licea, C.; Newman, C. M.; Piza, M. S. T. Superdiffusivity in first-passage percolation. (English) Zbl 0870.60096 Probab. Theory Relat. Fields 106, No. 4, 559-591 (1996). Reviewer: K.Schürger (Bonn) MSC: 60K35 82C24 82B24 82B44 PDFBibTeX XMLCite \textit{C. Licea} et al., Probab. Theory Relat. Fields 106, No. 4, 559--591 (1996; Zbl 0870.60096) Full Text: DOI
Newman, Charles M.; Volchan, Sergio B. Persistent survival of one-dimensional contact processes in random environments. (English) Zbl 0863.60098 Ann. Probab. 24, No. 1, 411-421 (1996). Reviewer: A.Khorunzhy (Khar’kov) MSC: 60K35 82B44 PDFBibTeX XMLCite \textit{C. M. Newman} and \textit{S. B. Volchan}, Ann. Probab. 24, No. 1, 411--421 (1996; Zbl 0863.60098) Full Text: DOI
Licea, Cristina; Newman, Charles M. Geodesics in two-dimensional first-passage percolation. (English) Zbl 0863.60097 Ann. Probab. 24, No. 1, 399-410 (1996). Reviewer: A.Khorunzhy (Khar’kov) MSC: 60K35 82B44 60D05 PDFBibTeX XMLCite \textit{C. Licea} and \textit{C. M. Newman}, Ann. Probab. 24, No. 1, 399--410 (1996; Zbl 0863.60097) Full Text: DOI
Newman, C. M.; Stein, D. L. Ground-state structure in a highly disordered spin-glass model. (English) Zbl 1042.82568 J. Stat. Phys. 82, No. 3-4, 1113-1132 (1996). MSC: 82B44 82B20 82B43 82D30 PDFBibTeX XMLCite \textit{C. M. Newman} and \textit{D. L. Stein}, J. Stat. Phys. 82, No. 3--4, 1113--1132 (1996; Zbl 1042.82568) Full Text: DOI arXiv
Newman, Charles M. A surface view of first-passage percolation. (English) Zbl 0848.60089 Chatterji, S. D. (ed.), Proceedings of the international congress of mathematicians, ICM ’94, August 3-11, 1994, Zürich, Switzerland. Vol. II. Basel: Birkhäuser. 1017-1023 (1995). Reviewer: K.Schürger (Bonn) MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{C. M. Newman}, in: Proceedings of the international congress of mathematicians, ICM '94, August 3-11, 1994, Zürich, Switzerland. Vol. II. Basel: Birkhäuser. 1017--1023 (1995; Zbl 0848.60089)
Newman, Charles M.; Piza, Marcelo S. T. Divergence of shape fluctuations in two dimensions. (English) Zbl 0835.60087 Ann. Probab. 23, No. 3, 977-1005 (1995). Reviewer: Chen Mu-fa (Beijing) MSC: 60K35 82C24 82B24 82B44 PDFBibTeX XMLCite \textit{C. M. Newman} and \textit{M. S. T. Piza}, Ann. Probab. 23, No. 3, 977--1005 (1995; Zbl 0835.60087) Full Text: DOI
Newman, C. M.; Stein, D. L. Random walk in a strongly inhomogeneous environment and invasion percolation. (English) Zbl 0817.60097 Ann. Inst. Henri Poincaré, Probab. Stat. 31, No. 1, 249-261 (1995). Reviewer: A.Khorunzhy (Khar’kov) MSC: 60K35 60G50 82C44 82B44 PDFBibTeX XMLCite \textit{C. M. Newman} and \textit{D. L. Stein}, Ann. Inst. Henri Poincaré, Probab. Stat. 31, No. 1, 249--261 (1995; Zbl 0817.60097) Full Text: Numdam EuDML
Newman, Charles M. Disordered Ising systems and random cluster representations. (English) Zbl 0827.60087 Grimmett, Geoffrey (ed.), Probability and phase transition. Proceedings of the NATO Advanced Study Institute on probability theory of spatial disorder and phase transition, Cambridge, UK, July 4-16, 1993. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 420, 247-260 (1994). MSC: 60K40 82C44 PDFBibTeX XMLCite \textit{C. M. Newman}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 420, 247--260 (1994; Zbl 0827.60087)
Fontes, L. R. G.; Newman, Charles M. Correction: First passage percolation for random colorings of \(\mathbb{Z}^ d\). (English) Zbl 0797.60086 Ann. Appl. Probab. 4, No. 1, 254 (1994). MSC: 60K35 60G60 PDFBibTeX XMLCite \textit{L. R. G. Fontes} and \textit{C. M. Newman}, Ann. Appl. Probab. 4, No. 1, 254 (1994; Zbl 0797.60086) Full Text: DOI
Isopi, Marco; Newman, Charles M. Speed of parallel processing for random task graphs. (English) Zbl 0822.68027 Commun. Pure Appl. Math. 47, No. 3, 361-376 (1994). MSC: 68Q05 68R10 PDFBibTeX XMLCite \textit{M. Isopi} and \textit{C. M. Newman}, Commun. Pure Appl. Math. 47, No. 3, 361--376 (1994; Zbl 0822.68027) Full Text: DOI
Gandolfi, A.; Newman, C. M.; Stein, D. L. Exotic states in long-range spin glasses. (English) Zbl 0782.60076 Commun. Math. Phys. 157, No. 2, 371-387 (1993). MSC: 60K35 82B44 PDFBibTeX XMLCite \textit{A. Gandolfi} et al., Commun. Math. Phys. 157, No. 2, 371--387 (1993; Zbl 0782.60076) Full Text: DOI
Fontes, Luiz; Newman, Charles M. First passage percolation for random colorings of \(\mathbb{Z}^ d\). (English) Zbl 0780.60101 Ann. Appl. Probab. 3, No. 3, 746-762 (1993). MSC: 60K35 82B43 60G60 82B20 PDFBibTeX XMLCite \textit{L. Fontes} and \textit{C. M. Newman}, Ann. Appl. Probab. 3, No. 3, 746--762 (1993; Zbl 0780.60101) Full Text: DOI
Newman, C. M.; Baker, George A. jun. Decomposition of Ising models and the Mayer expansion. (English) Zbl 0784.60098 Albeverio, Sergio (ed.) et al., Ideas and methods in quantum and statistical physics. In memory of Raphael Hœgh-Krohn (1938-1988). Volume 2. Cambridge: Cambridge University Press. 494-511 (1992). MSC: 60K35 82B44 PDFBibTeX XMLCite \textit{C. M. Newman} and \textit{G. A. Baker jun.}, in: Ideas and methods in quantum and statistical physics. In memory of Raphael Høegh-Krohn (1938-1988). Volume 2. Cambridge: Cambridge University Press. 494--511 (1992; Zbl 0784.60098)
Gandolfi, A.; Keane, M. S.; Newman, C. M. Uniqueness of the infinite component in a random graph with applications to percolation and spin glasses. (English) Zbl 0767.60098 Probab. Theory Relat. Fields 92, No. 4, 511-527 (1992). MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{A. Gandolfi} et al., Probab. Theory Relat. Fields 92, No. 4, 511--527 (1992; Zbl 0767.60098) Full Text: DOI
Newman, Charles M. Topics in percolation. (English) Zbl 0734.60104 Mathematics of random media, Proc. AMS-SIAM Summer Semin., Conf., Blacksburg/VA (USA) 1989, Lect. Appl. Math. 27, 41-51 (1991). Reviewer: G.Grimmett (Bristol) MSC: 60K35 82B43 PDFBibTeX XML
Newman, Charles M. The GHS inequality and the Riemann hypothesis. (English) Zbl 0727.60120 Constructive Approximation 7, No. 3, 389-399 (1991). MSC: 60K35 82B26 PDFBibTeX XMLCite \textit{C. M. Newman}, Constr. Approx. 7, No. 3, 389--399 (1991; Zbl 0727.60120) Full Text: DOI
Barsky, David J.; Grimmett, Geoffrey R.; Newman, Charles M. Percolation in half-spaces: Equality of critical densities and continuity of the percolation probability. (English) Zbl 0727.60118 Probab. Theory Relat. Fields 90, No. 1, 111-148 (1991). MSC: 60K35 PDFBibTeX XMLCite \textit{D. J. Barsky} et al., Probab. Theory Relat. Fields 90, No. 1, 111--148 (1991; Zbl 0727.60118) Full Text: DOI
Barsky, David J.; Grimmett, Geoffrey R.; Newman, Charles M. Dynamic renormalization and continuity of the percolation transition in orthants. (English) Zbl 0745.60102 Spatial stochastic processes, Festschr. in Honor of Ted Harris 70th Birthday, Prog. Probab. 19, 37-55 (1991). Reviewer: M.Chen (Beijing) MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{D. J. Barsky} et al., Prog. Probab. None, 37--55 (1991; Zbl 0745.60102)
Abraham, D. B.; Newman, C. M. Remarks on a random surface. (English) Zbl 0782.60073 Stochastic orders and decision under risk, Proc. Int. Workshop, Hamburg/Ger. 1989, IMS Lect. Notes, Monogr. Ser. 19, 1-6 (1991). MSC: 60K35 60D05 82B31 PDFBibTeX XMLCite \textit{D. B. Abraham} and \textit{C. M. Newman}, IMS Lect. Notes, Monogr. Ser. 19, 1--6 (1991; Zbl 0782.60073)
Grimmett, G. R.; Newman, C. M. Percolation in \(\infty +1\) dimensions. (English) Zbl 0721.60121 Disorder in physical systems, Vol. in Honour of J. M. Hammersley 70th Birthday, 167-190 (1990). Reviewer: V.Chulaevsky (Pushchino/Moskva) MSC: 60K35 82B43 PDFBibTeX XML
Newman, Charles M.; Wu, Chuntao C. Markov fields on branching planes. (English) Zbl 0682.60094 Probab. Theory Relat. Fields 85, No. 4, 539-552 (1990). MSC: 60K35 60J99 82B43 PDFBibTeX XMLCite \textit{C. M. Newman} and \textit{C. C. Wu}, Probab. Theory Relat. Fields 85, No. 4, 539--552 (1990; Zbl 0682.60094) Full Text: DOI
Abraham, D. B.; Newman, C. M. Surfaces and Peierls contours: 3-d wetting and 2-d Ising percolation. (English) Zbl 0679.60100 Commun. Math. Phys. 125, No. 1, 181-200 (1989). MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{D. B. Abraham} and \textit{C. M. Newman}, Commun. Math. Phys. 125, No. 1, 181--200 (1989; Zbl 0679.60100) Full Text: DOI
Aizenman, M.; Chayes, J. T.; Chayes, L.; Newman, C. M. Discontinuity of the magnetization in one-dimensional \(1/| x-y| ^ 2\) Ising and Potts models. (English) Zbl 1084.82514 J. Stat. Phys. 50, No. 1-2, 1-40 (1988). MSC: 82B20 82B24 PDFBibTeX XMLCite \textit{M. Aizenman} et al., J. Stat. Phys. 50, No. 1--2, 1--40 (1988; Zbl 1084.82514) Full Text: DOI
Aizenman, M.; Kesten, H.; Newman, C. M. Uniqueness of the infinite cluster and continuity of connectivity functions for short and long range percolation. (English) Zbl 0642.60102 Commun. Math. Phys. 111, 505-531 (1987). MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{M. Aizenman} et al., Commun. Math. Phys. 111, 505--531 (1987; Zbl 0642.60102) Full Text: DOI
Chayes, J. T.; Chayes, L.; Newman, C. M. Bernoulli percolation above threshold: An invasion percolation analysis. (English) Zbl 0627.60099 Ann. Probab. 15, 1272-1287 (1987). MSC: 60K35 60D05 82B43 PDFBibTeX XMLCite \textit{J. T. Chayes} et al., Ann. Probab. 15, 1272--1287 (1987; Zbl 0627.60099) Full Text: DOI
Newman, C. M. Inequalities for \(\gamma\) and related critical exponents in short and long range percolation. (English) Zbl 0621.60113 Percolation theory and ergodic theory of infinite particle systems, Proc. Workshop IMA, Minneapolis/Minn. 1984/85, IMA Vol. Math. Appl. 8, 229-244 (1987). MSC: 60K35 PDFBibTeX XML
Aizenman, M.; Kesten, H.; Newman, C. M. Uniqueness of the infinite cluster and related results in percolation. (English) Zbl 0621.60112 Percolation theory and ergodic theory of infinite particle systems, Proc. Workshop IMA, Minneapolis/Minn. 1984/85, IMA Vol. Math. Appl. 8, 13-20 (1987). Reviewer: Abstract MSC: 60K35 PDFBibTeX XML
Aizenman, M.; Newman, C. M. Discontinuity of the percolation density in one dimensional \(1/| x- y| ^ 2\) percolation models. (English) Zbl 0613.60097 Commun. Math. Phys. 107, 611-647 (1986). MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{M. Aizenman} and \textit{C. M. Newman}, Commun. Math. Phys. 107, 611--647 (1986; Zbl 0613.60097) Full Text: DOI
Newman, C. M.; Schulman, L. S. One dimensional \(1/| j-i| ^ s\) percolation models: The existence of a transition for s\(\leq 2\). (English) Zbl 0604.60097 Commun. Math. Phys. 104, 547-571 (1986). MSC: 60K35 PDFBibTeX XMLCite \textit{C. M. Newman} and \textit{L. S. Schulman}, Commun. Math. Phys. 104, 547--571 (1986; Zbl 0604.60097) Full Text: DOI
Newman, C. M.; Schulman, L. S. Infinite chains and clusters in one dimensional directed and undirected percolation. (English) Zbl 0564.60096 Particle systems, random media and large deviations, Proc. Conf., Bowdoin Coll. 1984, Contemp. Math. 41, 297-317 (1985). MSC: 60K35 PDFBibTeX XML
Aizenman, Michael; Newman, Charles M. Tree graph inequalities and critical behavior in percolation models. (English) Zbl 0586.60096 J. Stat. Phys. 36, 107-144 (1984). MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{M. Aizenman} and \textit{C. M. Newman}, J. Stat. Phys. 36, 107--144 (1984; Zbl 0586.60096) Full Text: DOI
Newman, Charles M. A general central limit theorem for FKG systems. (English) Zbl 0528.60024 Commun. Math. Phys. 91, 75-80 (1983). MSC: 60F05 82B05 60K35 82B20 PDFBibTeX XMLCite \textit{C. M. Newman}, Commun. Math. Phys. 91, 75--80 (1983; Zbl 0528.60024) Full Text: DOI