Liggett, Thomas M.; Tang, Wenpin One-dependent colorings of the star graph. (English) Zbl 07789636 Ann. Appl. Probab. 33, No. 6A, 4341-4365 (2023). MSC: 05C15 60C05 82B27 PDFBibTeX XMLCite \textit{T. M. Liggett} and \textit{W. Tang}, Ann. Appl. Probab. 33, No. 6A, 4341--4365 (2023; Zbl 07789636) Full Text: DOI arXiv
Holroyd, Alexander E.; Liggett, Thomas M. Finitely dependent coloring. (English) Zbl 1361.60025 Forum Math. Pi 4, Paper No. e9, 43 p. (2016). MSC: 60G10 05C15 60C05 PDFBibTeX XMLCite \textit{A. E. Holroyd} and \textit{T. M. Liggett}, Forum Math. Pi 4, Paper No. e9, 43 p. (2016; Zbl 1361.60025) Full Text: DOI arXiv
Liggett, Thomas M. T. E. Harris’ contributions to interacting particle systems and percolation. (English) Zbl 1213.60159 Ann. Probab. 39, No. 2, 407-416 (2011). MSC: 60K35 PDFBibTeX XMLCite \textit{T. M. Liggett}, Ann. Probab. 39, No. 2, 407--416 (2011; Zbl 1213.60159) Full Text: DOI arXiv
Liggett, Thomas M. Stochastic models for large interacting systems and related correlation inequalities. (English) Zbl 1256.60037 Proc. Natl. Acad. Sci. USA 107, No. 38, 16413-16419 (2010). MSC: 60K35 PDFBibTeX XMLCite \textit{T. M. Liggett}, Proc. Natl. Acad. Sci. USA 107, No. 38, 16413--16419 (2010; Zbl 1256.60037) Full Text: DOI
Borcea, Julius; Brändén, Petter; Liggett, Thomas M. Negative dependence and the geometry of polynomials. (English) Zbl 1206.62096 J. Am. Math. Soc. 22, No. 2, 521-567 (2009). MSC: 62H05 62H20 60E05 60K35 PDFBibTeX XMLCite \textit{J. Borcea} et al., J. Am. Math. Soc. 22, No. 2, 521--567 (2009; Zbl 1206.62096) Full Text: DOI arXiv
Liggett, Thomas M.; Lippman, Steven A.; Rumelt, Richard P. The asymptotic Shapley value for a simple market game. (English) Zbl 1173.91372 Econ. Theory 40, No. 2, 333-338 (2009). Reviewer: Tadeusz Radzik (Jelenia Góra) MSC: 91B26 91A12 91A40 60F99 PDFBibTeX XMLCite \textit{T. M. Liggett} et al., Econ. Theory 40, No. 2, 333--338 (2009; Zbl 1173.91372) Full Text: DOI
Liggett, Thomas M. Distributional limits for the symmetric exclusion process. (English) Zbl 1172.60031 Stochastic Processes Appl. 119, No. 1, 1-15 (2009). Reviewer: Andrej V. Bulinski (Moskva) MSC: 60K35 PDFBibTeX XMLCite \textit{T. M. Liggett}, Stochastic Processes Appl. 119, No. 1, 1--15 (2009; Zbl 1172.60031) Full Text: DOI arXiv
Liggett, Thomas M.; Schinazi, Rinaldo B.; Schweinsberg, Jason A contact process with mutations on a tree. (English) Zbl 1141.60065 Stochastic Processes Appl. 118, No. 3, 319-332 (2008). Reviewer: Anatoliy Pogorui (Zhitomir) MSC: 60K35 PDFBibTeX XMLCite \textit{T. M. Liggett} et al., Stochastic Processes Appl. 118, No. 3, 319--332 (2008; Zbl 1141.60065) Full Text: DOI arXiv
Chayes, Lincoln; Liggett, Thomas M. One dimensional nearest neighbor exclusion processes in inhomogeneous and random environments. (English) Zbl 1141.82015 J. Stat. Phys. 129, No. 2, 193-203 (2007). Reviewer: Gen Qi Xu (Tianjin) MSC: 82C70 82C22 PDFBibTeX XMLCite \textit{L. Chayes} and \textit{T. M. Liggett}, J. Stat. Phys. 129, No. 2, 193--203 (2007; Zbl 1141.82015) Full Text: DOI arXiv
Liggett, Thomas M.; Steif, Jeffrey E.; Tóth, Bálint Statistical mechanical systems on complete graphs, infinite exchangeability, finite extensions and a discrete finite moment problem. (English) Zbl 1126.44007 Ann. Probab. 35, No. 3, 867-914 (2007). Reviewer: J. M. C. Joshi (Uttaranchal) MSC: 44A60 60G09 60K35 82B20 PDFBibTeX XMLCite \textit{T. M. Liggett} et al., Ann. Probab. 35, No. 3, 867--914 (2007; Zbl 1126.44007) Full Text: DOI arXiv
Bramson, M.; Liggett, T. M. Exclusion processes in higher dimensions: stationary measures and convergence. (English) Zbl 1099.60067 Ann. Probab. 33, No. 6, 2255-2313 (2005). Reviewer: Mihai Gradinaru (Nancy) MSC: 60K35 PDFBibTeX XMLCite \textit{M. Bramson} and \textit{T. M. Liggett}, Ann. Probab. 33, No. 6, 2255--2313 (2005; Zbl 1099.60067) Full Text: DOI arXiv
Liggett, Thomas M.; Rolles, Silke W. W. An infinite stochastic model of social network formation. (English) Zbl 1071.60097 Stochastic Processes Appl. 113, No. 1, 65-80 (2004). Reviewer: Chen Mu-Fa (Beijing) MSC: 60K35 60J27 82C22 91D30 PDFBibTeX XMLCite \textit{T. M. Liggett} and \textit{S. W. W. Rolles}, Stochastic Processes Appl. 113, No. 1, 65--80 (2004; Zbl 1071.60097) Full Text: DOI
Bramson, Maury; Liggett, Thomas M.; Mountford, Thomas Characterization of stationary measures for one-dimensional exclusion processes. (English) Zbl 1039.60086 Ann. Probab. 30, No. 4, 1539-1575 (2002). Reviewer: Stefan Adams (Berlin) MSC: 60K35 60J25 82C22 PDFBibTeX XMLCite \textit{M. Bramson} et al., Ann. Probab. 30, No. 4, 1539--1575 (2002; Zbl 1039.60086) Full Text: DOI
Liggett, Thomas M. Monotonicity of conditional distributions and growth models on trees. (English) Zbl 1044.60094 Ann. Probab. 28, No. 4, 1645-1665 (2000). MSC: 60K35 PDFBibTeX XMLCite \textit{T. M. Liggett}, Ann. Probab. 28, No. 4, 1645--1665 (2000; Zbl 1044.60094) Full Text: DOI
Belitsky, V.; Ferrari, P. A.; Konno, N.; Liggett, T. M. A strong correlation inequality for contact processes and oriented percolation. (English) Zbl 0890.60094 Stochastic Processes Appl. 67, No. 2, 213-225 (1997). Reviewer: Petr Holický (Praha) MSC: 60K35 82C22 PDFBibTeX XMLCite \textit{V. Belitsky} et al., Stochastic Processes Appl. 67, No. 2, 213--225 (1997; Zbl 0890.60094) Full Text: DOI
Liggett, Thomas M. Ultra logconcave sequences and negative dependence. (English) Zbl 0888.60013 J. Comb. Theory, Ser. A 79, No. 2, 315-325 (1997). Reviewer: M.Mürmann (Heidelberg) MSC: 60E05 60C05 60K99 62H20 05A19 11B65 PDFBibTeX XMLCite \textit{T. M. Liggett}, J. Comb. Theory, Ser. A 79, No. 2, 315--325 (1997; Zbl 0888.60013) Full Text: DOI
Liggett, T. M.; Schonmann, R. H.; Stacey, A. M. Domination by product measures. (English) Zbl 0882.60046 Ann. Probab. 25, No. 1, 71-95 (1997). MSC: 60G60 60G10 60K35 PDFBibTeX XMLCite \textit{T. M. Liggett} et al., Ann. Probab. 25, No. 1, 71--95 (1997; Zbl 0882.60046) Full Text: DOI
Liggett, Thomas M. The 1996 Wald memorial lectures. Stochastic models of interacting systems. (English) Zbl 0873.60072 Ann. Probab. 25, No. 1, 1-29 (1997). Reviewer: Chen Mu-fa (Beijing) MSC: 60K35 PDFBibTeX XMLCite \textit{T. M. Liggett}, Ann. Probab. 25, No. 1, 1--29 (1997; Zbl 0873.60072) Full Text: DOI
Liggett, Thomas M. Multiple transition points for the contact process on the binary tree. (English) Zbl 0871.60087 Ann. Probab. 24, No. 4, 1675-1710 (1996). Reviewer: K.Schürger (Bonn) MSC: 60K35 PDFBibTeX XMLCite \textit{T. M. Liggett}, Ann. Probab. 24, No. 4, 1675--1710 (1996; Zbl 0871.60087) Full Text: DOI
Andjel, Enrique D.; Liggett, Thomas M.; Mountford, Thomas Clustering in one-dimensional threshold voter models. (English) Zbl 0752.60086 Stochastic Processes Appl. 42, No. 1, 73-90 (1992). MSC: 60K35 PDFBibTeX XMLCite \textit{E. D. Andjel} et al., Stochastic Processes Appl. 42, No. 1, 73--90 (1992; Zbl 0752.60086) Full Text: DOI
Ding, Wan-Ding; Durrett, Richard; Liggett, Thomas M. Ergodicity of reversible reaction diffusion processes. (English) Zbl 0669.60077 Probab. Theory Relat. Fields 85, No. 1, 13-26 (1990). Reviewer: Wanding Ding MSC: 60J70 PDFBibTeX XMLCite \textit{W.-D. Ding} et al., Probab. Theory Relat. Fields 85, No. 1, 13--26 (1990; Zbl 0669.60077) Full Text: DOI
Liggett, T. M.; Port, S. C. Systems of independent Markov chains. (English) Zbl 0657.60123 Stochastic Processes Appl. 28, No. 1, 1-22 (1988). Reviewer: U.Rösler MSC: 60K35 60J10 PDFBibTeX XMLCite \textit{T. M. Liggett} and \textit{S. C. Port}, Stochastic Processes Appl. 28, No. 1, 1--22 (1988; Zbl 0657.60123) Full Text: DOI
Andjel, E. D.; Bramson, M. D.; Liggett, T. M. Shocks in the asymmetric exclusion process. (English) Zbl 0632.60107 Probab. Theory Relat. Fields 78, No. 2, 231-247 (1988). MSC: 60K35 60F15 PDFBibTeX XMLCite \textit{E. D. Andjel} et al., Probab. Theory Relat. Fields 78, No. 2, 231--247 (1988; Zbl 0632.60107) Full Text: DOI
Liggett, Thomas M. Applications of the Dirichlet principle to finite reversible nearest particle systems. (English) Zbl 0589.60081 Probab. Theory Relat. Fields 74, 505-528 (1987). MSC: 60K35 PDFBibTeX XMLCite \textit{T. M. Liggett}, Probab. Theory Relat. Fields 74, 505--528 (1987; Zbl 0589.60081) Full Text: DOI
Liggett, Thomas M. Finite nearest particle systems. (English) Zbl 0557.60087 Z. Wahrscheinlichkeitstheor. Verw. Geb. 68, 65-73 (1984). Reviewer: H.Rost MSC: 60K35 PDFBibTeX XMLCite \textit{T. M. Liggett}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 68, 65--73 (1984; Zbl 0557.60087) Full Text: DOI
Durrett, Richard; Liggett, Thomas M. Fixed points of the smoothing transformation. (English) Zbl 0506.60097 Z. Wahrscheinlichkeitstheor. Verw. Geb. 64, 275-301 (1983). MSC: 60K35 60G50 60J45 PDFBibTeX XMLCite \textit{R. Durrett} and \textit{T. M. Liggett}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 64, 275--301 (1983; Zbl 0506.60097) Full Text: DOI
Liggett, Thomas M.; Spitzer, Frank Ergodic theorems for coupled random walks and other systems with locally interacting components. (English) Zbl 0444.60096 Z. Wahrscheinlichkeitstheor. Verw. Geb. 56, 443-468 (1981). MSC: 60K35 PDFBibTeX XMLCite \textit{T. M. Liggett} and \textit{F. Spitzer}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 56, 443--468 (1981; Zbl 0444.60096) Full Text: DOI
Holley, Richard; Liggett, Thomas M. Generalized potlatch and smoothing processes. (English) Zbl 0441.60096 Z. Wahrscheinlichkeitstheor. Verw. Geb. 55, 165-195 (1981). MSC: 60K35 PDFBibTeX XMLCite \textit{R. Holley} and \textit{T. M. Liggett}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 55, 165--195 (1981; Zbl 0441.60096) Full Text: DOI
Liggett, Thomas M. Random invariant measures for Markov chains and independent particle systems. (English) Zbl 0373.60076 Z. Wahrscheinlichkeitstheor. Verw. Geb. 45, 297-313 (1978). MSC: 60J10 60B10 PDFBibTeX XMLCite \textit{T. M. Liggett}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 45, 297--313 (1978; Zbl 0373.60076) Full Text: DOI
Liggett, Thomas M. Ergodic theorems for the asymmetric simple exclusion process. (English) Zbl 0322.60086 Trans. Am. Math. Soc. 213, 237-261 (1975). MSC: 60K35 47A35 PDFBibTeX XMLCite \textit{T. M. Liggett}, Trans. Am. Math. Soc. 213, 237--261 (1975; Zbl 0322.60086) Full Text: DOI
Liggett, Thomas M. A characterization of the invariant measures for an infinite particle system with interactions. II. (English) Zbl 0364.60118 Trans. Am. Math. Soc. 198, 201-213 (1974). MSC: 60K35 47A35 PDFBibTeX XMLCite \textit{T. M. Liggett}, Trans. Am. Math. Soc. 198, 201--213 (1974; Zbl 0364.60118) Full Text: DOI
Liggett, Thomas M. A characterization of the invariant measures for an infinite particle system with interactions. (English) Zbl 0268.60090 Trans. Am. Math. Soc. 179, 433-453 (1973). MSC: 60K35 47A35 PDFBibTeX XMLCite \textit{T. M. Liggett}, Trans. Am. Math. Soc. 179, 433--453 (1973; Zbl 0268.60090) Full Text: DOI
Crandall, Michael G.; Liggett, Thomas M. A theorem and a counterexample in the theory of semigroups of nonlinear transformations. (English) Zbl 0226.47037 Trans. Am. Math. Soc. 160, 263-278 (1971). MSC: 47H20 47H06 PDFBibTeX XMLCite \textit{M. G. Crandall} and \textit{T. M. Liggett}, Trans. Am. Math. Soc. 160, 263--278 (1971; Zbl 0226.47037) Full Text: DOI