Hennig, Dirk; Karachalios, Nikos I. Existence of exponentially spatially localized breather solutions for lattices of nonlinearly coupled particles: Schauder’s fixed point theorem approach. (English) Zbl 07452087 J. Math. Phys. 62, No. 12, 123506, 12 p. (2021). Reviewer: Luen-Chau Li (University Park) MSC: 37K60 47H10 47N20 PDF BibTeX XML Cite \textit{D. Hennig} and \textit{N. I. Karachalios}, J. Math. Phys. 62, No. 12, 123506, 12 p. (2021; Zbl 07452087) Full Text: DOI arXiv OpenURL
Chen, Yuan; Zhang, Xiuzhi; Li, Wenan; Chen, Jipei Onsager reaction field theory applied to the phase diagram of Heisenberg chain with ferromagnetic long-range interaction and antiferromagnetic nearest-neighbor interaction. (English) Zbl 1462.82082 Int. J. Mod. Phys. B 35, No. 6, Article ID 2150080, 18 p. (2021). MSC: 82D40 82B10 PDF BibTeX XML Cite \textit{Y. Chen} et al., Int. J. Mod. Phys. B 35, No. 6, Article ID 2150080, 18 p. (2021; Zbl 1462.82082) Full Text: DOI OpenURL
Liu, Yunzhen; Wan, Zhiqiang; Li, Qia; Zhang, Qinghui A corrected nearest neighbor transpotation method of aerodynamic force for fluid-structure interactions. (English) Zbl 1471.74016 Int. J. Numer. Anal. Model. 17, No. 5, 746-765 (2020). MSC: 74F10 65K10 65N30 65D05 PDF BibTeX XML Cite \textit{Y. Liu} et al., Int. J. Numer. Anal. Model. 17, No. 5, 746--765 (2020; Zbl 1471.74016) Full Text: Link OpenURL
Graczyk, Piotr; Ishi, Hideyuki; Mamane, Salha Wishart exponential families on cones related to tridiagonal matrices. (English) Zbl 1417.62128 Ann. Inst. Stat. Math. 71, No. 2, 439-471 (2019). MSC: 62H05 62H12 PDF BibTeX XML Cite \textit{P. Graczyk} et al., Ann. Inst. Stat. Math. 71, No. 2, 439--471 (2019; Zbl 1417.62128) Full Text: DOI OpenURL
Jurčišinová, E.; Jurčišin, M. Antiferromagnetic geometric frustration under the influence of the next-nearest-neighbor interaction. An exactly solvable model. (English) Zbl 07546938 Physica A 492, 1798-1822 (2018). MSC: 82-XX PDF BibTeX XML Cite \textit{E. Jurčišinová} and \textit{M. Jurčišin}, Physica A 492, 1798--1822 (2018; Zbl 07546938) Full Text: DOI OpenURL
Tang, Bing; Li, De-Jun Quantum signature of discrete breathers in a nonlinear Klein-Gordon lattice with nearest and next-nearest neighbor interactions. (English) Zbl 1448.81294 Commun. Nonlinear Sci. Numer. Simul. 34, 77-85 (2016). MSC: 81P94 94A62 81Q05 35Q55 35C08 35P30 PDF BibTeX XML Cite \textit{B. Tang} and \textit{D.-J. Li}, Commun. Nonlinear Sci. Numer. Simul. 34, 77--85 (2016; Zbl 1448.81294) Full Text: DOI OpenURL
Paleari, Simone; Penati, Tiziano Long time stability of small-amplitude breathers in a mixed FPU-KG model. (English) Zbl 1368.37071 Z. Angew. Math. Phys. 67, No. 6, Article ID 148, 21 p. (2016). MSC: 37J45 70H14 70K45 35Q55 PDF BibTeX XML Cite \textit{S. Paleari} and \textit{T. Penati}, Z. Angew. Math. Phys. 67, No. 6, Article ID 148, 21 p. (2016; Zbl 1368.37071) Full Text: DOI arXiv OpenURL
Chandgotia, Nishant; Meyerovitch, Tom Markov random fields, Markov cocycles and the 3-colored chessboard. (English) Zbl 1356.37030 Isr. J. Math. 215, No. 2, 909-964 (2016). MSC: 37B50 37H15 60G60 60J99 37A20 PDF BibTeX XML Cite \textit{N. Chandgotia} and \textit{T. Meyerovitch}, Isr. J. Math. 215, No. 2, 909--964 (2016; Zbl 1356.37030) Full Text: DOI arXiv Link OpenURL
Yao, Ying-Bo; Li, De-Jun; Tang, Bing Semiclassical intrinsic localized modes in the \(\beta\)-Fermi-Pasta-Ulam lattice model with first- and second-nearest neighbor interactions. (English) Zbl 1338.81208 Int. J. Mod. Phys. B 29, No. 30, Article ID 1550214, 13 p. (2015). MSC: 81Q20 81Q50 82D25 81R30 35C08 PDF BibTeX XML Cite \textit{Y.-B. Yao} et al., Int. J. Mod. Phys. B 29, No. 30, Article ID 1550214, 13 p. (2015; Zbl 1338.81208) Full Text: DOI OpenURL
Yin, Songqiu; Chen, Yuan Influence of next-nearest neighbor interaction on low temperature properties of the spin-1/2 one-dimensional ferromagnetic XY model. (English) Zbl 1330.82037 Int. J. Mod. Phys. B 29, No. 31, Article ID 1550225, 15 p. (2015). MSC: 82C22 82C10 PDF BibTeX XML Cite \textit{S. Yin} and \textit{Y. Chen}, Int. J. Mod. Phys. B 29, No. 31, Article ID 1550225, 15 p. (2015; Zbl 1330.82037) Full Text: DOI OpenURL
Olson, Derek; Bochev, Pavel; Luskin, Mitchell; Shapeev, Alexander V. Development of an optimization-based atomistic-to-continuum coupling method. (English) Zbl 1446.74075 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 9th international conference, LSSC 2013, Sozopol, Bulgaria, June 3–7, 2013. Revised selected papers. Berlin: Springer. Lect. Notes Comput. Sci. 8353, 33-44 (2014). MSC: 74A25 74E15 74S05 82B21 PDF BibTeX XML Cite \textit{D. Olson} et al., Lect. Notes Comput. Sci. 8353, 33--44 (2014; Zbl 1446.74075) Full Text: DOI arXiv OpenURL
Hirotsu, Masaki; Onogi, Tetsuya; Shintani, Eigo Position space formulation for Dirac fermions on honeycomb lattice. (English) Zbl 1323.82065 Nucl. Phys., B 885, 61-75 (2014). MSC: 82D80 82D25 81R25 PDF BibTeX XML Cite \textit{M. Hirotsu} et al., Nucl. Phys., B 885, 61--75 (2014; Zbl 1323.82065) Full Text: DOI arXiv OpenURL
Bachmann, Sven; Nachtergaele, Bruno Product vacua with boundary states and the classification of gapped phases. (English) Zbl 1296.82020 Commun. Math. Phys. 329, No. 2, 509-544 (2014). MSC: 82B26 82B20 PDF BibTeX XML Cite \textit{S. Bachmann} and \textit{B. Nachtergaele}, Commun. Math. Phys. 329, No. 2, 509--544 (2014; Zbl 1296.82020) Full Text: DOI arXiv Link OpenURL
Sun, Jijiang; Ma, Shiwang Multiple periodic solutions for lattice dynamical systems with superquadratic potentials. (English) Zbl 1318.37026 J. Differ. Equations 255, No. 8, 2534-2563 (2013). MSC: 37K60 34C25 70F45 34A33 PDF BibTeX XML Cite \textit{J. Sun} and \textit{S. Ma}, J. Differ. Equations 255, No. 8, 2534--2563 (2013; Zbl 1318.37026) Full Text: DOI OpenURL
Saeedi, Mehdi; Shafaei, Alireza; Pedram, Massoud Constant-factor optimization of quantum adders on 2D quantum architectures. (English) Zbl 1407.68188 Dueck, Gerhard W. (ed.) et al., Reversible computation. 5th international conference, RC 2013, Victoria, BC, Canada, July 4–5, 2013. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 7948, 58-69 (2013). MSC: 68Q12 68M07 81P68 94C10 PDF BibTeX XML Cite \textit{M. Saeedi} et al., Lect. Notes Comput. Sci. 7948, 58--69 (2013; Zbl 1407.68188) Full Text: DOI arXiv OpenURL
Ren, Jie; Wu, Yinzhong; Zhu, Shiqun Study of dynamics in spin-1/2 chain using adaptive time-dependent density-matrix renormalization-group method. (English) Zbl 1278.82038 Int. J. Theor. Phys. 52, No. 9, 3167-3175 (2013). MSC: 82C20 82C28 81V70 81P40 82D40 PDF BibTeX XML Cite \textit{J. Ren} et al., Int. J. Theor. Phys. 52, No. 9, 3167--3175 (2013; Zbl 1278.82038) Full Text: DOI OpenURL
Li, Zhi-Peng; Zhou, Ying Impact of the next-nearest-neighbor interaction on traffic flow of highway with slopes. (English) Zbl 1264.60070 Commun. Theor. Phys. 58, No. 4, 590-598 (2012). MSC: 60K30 90B20 PDF BibTeX XML Cite \textit{Z.-P. Li} and \textit{Y. Zhou}, Commun. Theor. Phys. 58, No. 4, 590--598 (2012; Zbl 1264.60070) Full Text: DOI OpenURL
Aghamohammadi, Amir; Khorrami, Mohammad Nonuniform autonomous one-dimensional exclusion nearest-neighbor reaction-diffusion models. (English) Zbl 1226.82034 J. Phys. A, Math. Theor. 44, No. 34, 10 p. (2011). MSC: 82C21 82C22 35K57 82C26 PDF BibTeX XML Cite \textit{A. Aghamohammadi} and \textit{M. Khorrami}, J. Phys. A, Math. Theor. 44, No. 34, 10 p. (2011; Zbl 1226.82034) Full Text: DOI arXiv OpenURL
Schumann, Rolf; Zwicker, David The Hubbard model extended by nearest-neighbor Coulomb and exchange interaction on a cubic cluster-rigorous and exact results. (English) Zbl 1196.82120 Ann. Phys. (8) 19, No. 6, 419-439 (2010). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 82D20 82D55 PDF BibTeX XML Cite \textit{R. Schumann} and \textit{D. Zwicker}, Ann. Phys. (8) 19, No. 6, 419--439 (2010; Zbl 1196.82120) Full Text: DOI arXiv OpenURL
Wang, Chao; Qian, Dingbian Periodic motions of a class of forced infinite lattices with nearest neighbor interaction. (English) Zbl 1160.34039 J. Math. Anal. Appl. 340, No. 1, 44-52 (2008). Reviewer: Pedro J. Torres (Granada) MSC: 34C25 82C20 82C22 37K60 PDF BibTeX XML Cite \textit{C. Wang} and \textit{D. Qian}, J. Math. Anal. Appl. 340, No. 1, 44--52 (2008; Zbl 1160.34039) Full Text: DOI OpenURL
Biskup, Marek; Chayes, Lincoln; Kivelson, Steven A. On the absence of ferromagnetism in typical 2D ferromagnets. (English) Zbl 1206.82014 Commun. Math. Phys. 274, No. 1, 217-231 (2007). MSC: 82B20 82D40 PDF BibTeX XML Cite \textit{M. Biskup} et al., Commun. Math. Phys. 274, No. 1, 217--231 (2007; Zbl 1206.82014) Full Text: DOI arXiv OpenURL
Skrypnik, W. Long-range order in classical lattice linear oscillator systems. (English) Zbl 1102.82020 Nikitin, A.G.(ed.) et al., Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23–29, 2003. Part 3. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-3227-6). Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine. Mathematics and its Applications. 50(3), 1474-1479 (2004). Reviewer: I. Yehorchenko (Kyïv) MSC: 82C20 60J60 58J65 82D40 PDF BibTeX XML Cite \textit{W. Skrypnik}, in: Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23--29, 2003. Part 3. Kyïv: Institute of Mathematics of NAS of Ukraine. 1474--1479 (2004; Zbl 1102.82020) OpenURL
Joyce, G. S.; Delves, R. T. Exact product forms for the simple cubic lattice Green function. I. (English) Zbl 1050.33020 J. Phys. A, Math. Gen. 37, No. 11, 3645-3671 (2004). Reviewer: Yuri Kozitsky (Lublin) MSC: 33E99 34B27 82C20 PDF BibTeX XML Cite \textit{G. S. Joyce} and \textit{R. T. Delves}, J. Phys. A, Math. Gen. 37, No. 11, 3645--3671 (2004; Zbl 1050.33020) Full Text: DOI OpenURL
Bugrij, A. I.; Lisovyy, O. Spin matrix elements in 2D Ising model on the finite lattice. (English) Zbl 1052.82008 Phys. Lett., A 319, No. 3-4, 390-394 (2003). MSC: 82B20 PDF BibTeX XML Cite \textit{A. I. Bugrij} and \textit{O. Lisovyy}, Phys. Lett., A 319, No. 3--4, 390--394 (2003; Zbl 1052.82008) Full Text: DOI arXiv OpenURL
Bringoltz, B.; Svetitsky, B. Towards a strong-coupling theory of QCD at finite density. (English) Zbl 1097.81822 Nucl. Phys., B, Proc. Suppl. 119, 565-570 (2003). MSC: 81V05 81T25 PDF BibTeX XML Cite \textit{B. Bringoltz} and \textit{B. Svetitsky}, Nucl. Phys., B, Proc. Suppl. 119, 565--570 (2003; Zbl 1097.81822) Full Text: DOI arXiv OpenURL
Watson, Stephen J.; Otto, Felix; Rubinstein, Boris Y.; Davis, Stephen H. Coarsening dynamics of the convective Cahn-Hilliard equation. (English) Zbl 1011.76021 Physica D 178, No. 3-4, 127-148 (2003). MSC: 76E06 PDF BibTeX XML Cite \textit{S. J. Watson} et al., Physica D 178, No. 3--4, 127--148 (2003; Zbl 1011.76021) Full Text: DOI OpenURL
Lin, Ping Theoretical and numerical analysis for the quasi-continuum approximation of a material particle model. (English) Zbl 1010.74003 Math. Comput. 72, No. 242, 657-675 (2003). MSC: 74A15 82B21 74S05 82-08 PDF BibTeX XML Cite \textit{P. Lin}, Math. Comput. 72, No. 242, 657--675 (2003; Zbl 1010.74003) Full Text: DOI OpenURL
Aegerter, C. M.; Surko, C. M. Influence of lateral boundary conditions on a phase-defect description of traveling-wave convection patterns. (English) Zbl 1094.76514 Physica D 166, No. 3-4, 155-166 (2002). MSC: 76E06 PDF BibTeX XML Cite \textit{C. M. Aegerter} and \textit{C. M. Surko}, Physica D 166, No. 3--4, 155--166 (2002; Zbl 1094.76514) Full Text: DOI OpenURL
Salinas, S. R.; Wreszinski, W. F. Critical behavior of a class of noncommutative aperiodic models on hierarchical lattices. (English) Zbl 0969.82522 Physica A 297, No. 3-4, 434-440 (2001). MSC: 82B20 82B27 PDF BibTeX XML Cite \textit{S. R. Salinas} and \textit{W. F. Wreszinski}, Physica A 297, No. 3--4, 434--440 (2001; Zbl 0969.82522) Full Text: DOI OpenURL
Bodineau, T. The Wulff construction in three and more dimensions. (English) Zbl 1015.82005 Commun. Math. Phys. 207, No. 1, 197-229 (1999). Reviewer: G.M.Schütz (Jülich) MSC: 82B20 60F10 82B24 82B28 PDF BibTeX XML Cite \textit{T. Bodineau}, Commun. Math. Phys. 207, No. 1, 197--229 (1999; Zbl 1015.82005) Full Text: DOI OpenURL
Maassarani, Z. The XXC models. (English) Zbl 0940.82021 Phys. Lett., A 244, No. 1-3, 160-164 (1998). MSC: 82B23 81R50 PDF BibTeX XML Cite \textit{Z. Maassarani}, Phys. Lett., A 244, No. 1--3, 160--164 (1998; Zbl 0940.82021) Full Text: DOI arXiv OpenURL
Rasmussen, K.Ø.; Christiansen, P. L.; Johansson, M.; Gaididei, Yu. B.; Mingaleev, S. F. Localized excitations in discrete nonlinear Schrödinger systems: Effects of nonlocal dispersive interactions and noise. (English) Zbl 0969.81010 Physica D 113, No. 2-4, 134-151 (1998). MSC: 81Q05 81-04 82D20 81Q50 81V70 PDF BibTeX XML Cite \textit{K. Ø. Rasmussen} et al., Physica D 113, No. 2--4, 134--151 (1998; Zbl 0969.81010) Full Text: DOI OpenURL
Mazel, Alexander E.; Suhov, Yurii M. Ground states of a boson quantum lattice model. (English) Zbl 0838.47053 Bunimovich, L. A. (ed.) et al., Sinai’s Moscow seminar on dynamical systems. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 171, 185-226 (1996). MSC: 47N50 82B20 81T25 81V25 PDF BibTeX XML Cite \textit{A. E. Mazel} and \textit{Y. M. Suhov}, Transl., Ser. 2, Am. Math. Soc. 171, 185--226 (1996; Zbl 0838.47053) OpenURL
Li, Dong; Benaroya, Haym Vibration localization in multi-coupled and multi-dimensional near-periodic structures. (English) Zbl 0943.70510 Wave Motion 23, No. 1, 67-82 (1996). MSC: 70J99 PDF BibTeX XML Cite \textit{D. Li} and \textit{H. Benaroya}, Wave Motion 23, No. 1, 67--82 (1996; Zbl 0943.70510) Full Text: DOI OpenURL
Deuschel, Jean-Dominique Entropic repulsion of the lattice free field. II: The \(0\)-boundary case. (English) Zbl 0868.60019 Commun. Math. Phys. 181, No. 3, 647-665 (1996). MSC: 60F10 82C21 PDF BibTeX XML Cite \textit{J.-D. Deuschel}, Commun. Math. Phys. 181, No. 3, 647--665 (1996; Zbl 0868.60019) Full Text: DOI OpenURL
Bolthausen, Erwin; Schmock, Uwe On self-attracting random walks. (English) Zbl 0829.60021 Cranston, Michael C. (ed.) et al., Stochastic analysis. Proceedings of the Summer Research Institute on stochastic analysis, held at Cornell University, Ithaca, NY, USA, July 11-30, 1993. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 57, 23-44 (1995). Reviewer: O.Brockhaus (Bonn) MSC: 60F10 60F05 60K35 PDF BibTeX XML Cite \textit{E. Bolthausen} and \textit{U. Schmock}, Proc. Symp. Pure Math. 57, 23--44 (1995; Zbl 0829.60021) OpenURL
Schonmann, Roberto H. Slow droplet-driven relaxation of stochastic Ising models in the vicinity of the phase coexistence region. (English) Zbl 0796.60103 Commun. Math. Phys. 161, No. 1, 1-49 (1994). MSC: 60K40 82B20 82B44 PDF BibTeX XML Cite \textit{R. H. Schonmann}, Commun. Math. Phys. 161, No. 1, 1--49 (1994; Zbl 0796.60103) Full Text: DOI OpenURL
Schonmann, Roberto H. On the behavior of some cellular automata related to bootstrap percolation. (English) Zbl 0742.60109 Ann. Probab. 20, No. 1, 174-193 (1992). MSC: 60K35 PDF BibTeX XML Cite \textit{R. H. Schonmann}, Ann. Probab. 20, No. 1, 174--193 (1992; Zbl 0742.60109) Full Text: DOI OpenURL
Borgs, Christian; Waxler, Roger First order phase transitions in unbounded spin systems. II: Completeness of the phase diagram. (English) Zbl 0719.60121 Commun. Math. Phys. 126, No. 3, 483-506 (1990). MSC: 60K35 82B05 PDF BibTeX XML Cite \textit{C. Borgs} and \textit{R. Waxler}, Commun. Math. Phys. 126, No. 3, 483--506 (1990; Zbl 0719.60121) Full Text: DOI OpenURL
Pandey, R. B. Computer simulation of a cellular automata model for the immune response in a retrovirus system. (English) Zbl 0668.92003 J. Stat. Phys. 54, No. 3-4, 997-1010 (1989). MSC: 92Cxx 92C50 68U99 PDF BibTeX XML Cite \textit{R. B. Pandey}, J. Stat. Phys. 54, No. 3--4, 997--1010 (1989; Zbl 0668.92003) Full Text: DOI OpenURL
Bricmont, J.; Kesten, H.; Lebowitz, J. L.; Schonmann, R. H. A note on the Ising model in high dimensions. (English) Zbl 0664.60109 Commun. Math. Phys. 122, No. 4, 597-607 (1989). MSC: 60K35 82B05 PDF BibTeX XML Cite \textit{J. Bricmont} et al., Commun. Math. Phys. 122, No. 4, 597--607 (1989; Zbl 0664.60109) Full Text: DOI OpenURL
Höglund, Thomas A one-dimensional model with phase transition. (English) Zbl 0678.60108 J. Stat. Phys. 53, No. 3-4, 825-834 (1988). MSC: 60K35 82B05 PDF BibTeX XML Cite \textit{T. Höglund}, J. Stat. Phys. 53, No. 3--4, 825--834 (1988; Zbl 0678.60108) Full Text: DOI OpenURL
Kuik, R. Markov and stability properties of equilibrium states for nearest- neighbor interactions. (English) Zbl 0639.60108 Commun. Math. Phys. 115, No. 4, 529-552 (1988). MSC: 60K35 82B05 PDF BibTeX XML Cite \textit{R. Kuik}, Commun. Math. Phys. 115, No. 4, 529--552 (1988; Zbl 0639.60108) Full Text: DOI OpenURL
Kessler, Christoph Attractiveness of interactions for binary lattice systems and the global Markov property. (English) Zbl 0636.60107 Stochastic Processes Appl. 24, 309-313 (1987). Reviewer: V.Chulaevsky MSC: 60K35 PDF BibTeX XML Cite \textit{C. Kessler}, Stochastic Processes Appl. 24, 309--313 (1987; Zbl 0636.60107) Full Text: DOI OpenURL
Falk, H. Glauber’s stochastic spin model with broken bond disorder. (English) Zbl 0516.60100 Physica A 117, 561-574 (1983). MSC: 60K35 60J10 82B20 PDF BibTeX XML Cite \textit{H. Falk}, Physica A 117, 561--574 (1983; Zbl 0516.60100) Full Text: DOI OpenURL
Pickard, David K. Inference for general Ising models. (English) Zbl 0495.62088 Essays in statistical science, Pap. in Honour of P.A.P. Moran, J. Appl. Probab., Spec. Vol. 19A, 345-357 (1982). MSC: 62M99 60K35 60G60 PDF BibTeX XML OpenURL
Yaguchi, Hirotake Construction of one-dimensional classical dynamical system of infinitely many particles with nearest neighbor interaction. (English) Zbl 0473.70015 Hiroshima Math. J. 11, 255-273 (1981). MSC: 70G10 82B05 PDF BibTeX XML Cite \textit{H. Yaguchi}, Hiroshima Math. J. 11, 255--273 (1981; Zbl 0473.70015) OpenURL
Föllmer, Hans On the global Markov property. (English) Zbl 0457.60077 Quantum fields - algebras, processes, Proc. Symp., Bielefeld 1978, 293-302 (1980). MSC: 60K35 60J35 PDF BibTeX XML OpenURL