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Mazón, José M.; Solera, Marcos; Toledo, Julián \((\mathrm{BV},L^p)\)-decomposition, \(p = 1,2\), of functions in metric random walk spaces. (English) Zbl 1493.05276 Adv. Calc. Var. 15, No. 3, 515-550 (2022). Reviewer: Yilun Shang (Newcastle) MSC: 05C81 05C22 05C80 35R02 05C21 45C99 26A45 PDFBibTeX XMLCite \textit{J. M. Mazón} et al., Adv. Calc. Var. 15, No. 3, 515--550 (2022; Zbl 1493.05276) Full Text: DOI arXiv
Mazón, José M.; Solera, Marcos; Toledo, Julián Gradient flows in metric random walk spaces. (English) Zbl 1484.05188 S\(\vec{\text{e}}\)MA J. 79, No. 1, 3-35 (2022). MSC: 05C80 35R02 05C21 45C99 26A45 PDFBibTeX XMLCite \textit{J. M. Mazón} et al., S\(\vec{\text{e}}\)MA J. 79, No. 1, 3--35 (2022; Zbl 1484.05188) Full Text: DOI
Petit, Julien; Lambiotte, Renaud; Carletti, Timoteo Random walks on dense graphs and graphons. (English) Zbl 1477.05175 SIAM J. Appl. Math. 81, No. 6, 2323-2345 (2021). MSC: 05C81 05C42 05C22 34G10 45K05 47D06 PDFBibTeX XMLCite \textit{J. Petit} et al., SIAM J. Appl. Math. 81, No. 6, 2323--2345 (2021; Zbl 1477.05175) Full Text: DOI arXiv
Górny, Wojciech; Mazón, José M. Least gradient functions in metric random walk spaces. (English) Zbl 1483.60068 ESAIM, Control Optim. Calc. Var. 27, Suppl., Paper No. S28, 32 p. (2021). Reviewer: Yana Kinderknecht (Saarbrücken) MSC: 60G50 49Q20 35R02 26A45 45C99 PDFBibTeX XMLCite \textit{W. Górny} and \textit{J. M. Mazón}, ESAIM, Control Optim. Calc. Var. 27, Paper No. S28, 32 p. (2021; Zbl 1483.60068) Full Text: DOI arXiv
Göhmann, Frank; Goomanee, Salvish; Kozlowski, Karol K.; Suzuki, Junji Thermodynamics of the spin-1/2 Heisenberg-Ising chain at high temperatures: a rigorous approach. (English) Zbl 1447.82008 Commun. Math. Phys. 377, No. 1, 623-673 (2020). MSC: 82B20 82B10 82B23 82B21 82D40 15A18 45G05 60K35 35Q55 82B30 PDFBibTeX XMLCite \textit{F. Göhmann} et al., Commun. Math. Phys. 377, No. 1, 623--673 (2020; Zbl 1447.82008) Full Text: DOI arXiv
Kuehn, Christian; Throm, Sebastian Power network dynamics on graphons. (English) Zbl 1428.37026 SIAM J. Appl. Math. 79, No. 4, 1271-1292 (2019). MSC: 37C75 05C82 05C90 05C80 90B10 34C15 45J05 34D06 PDFBibTeX XMLCite \textit{C. Kuehn} and \textit{S. Throm}, SIAM J. Appl. Math. 79, No. 4, 1271--1292 (2019; Zbl 1428.37026) Full Text: DOI arXiv
Chiba, Hayato; Medvedev, Georgi S. The mean field analysis of the Kuramoto model on graphs. II: Asymptotic stability of the incoherent state, center manifold reduction, and bifurcations. (English) Zbl 1420.34062 Discrete Contin. Dyn. Syst. 39, No. 7, 3897-3921 (2019). Reviewer: Carlo Laing (Auckland) MSC: 34C15 35B32 47G20 05C90 35R02 45P05 PDFBibTeX XMLCite \textit{H. Chiba} and \textit{G. S. Medvedev}, Discrete Contin. Dyn. Syst. 39, No. 7, 3897--3921 (2019; Zbl 1420.34062) Full Text: DOI arXiv
Chiba, Hayato; Medvedev, Georgi S. The mean field analysis of the Kuramoto model on graphs. I: The mean field equation and transition point formulas. (English) Zbl 1406.34064 Discrete Contin. Dyn. Syst. 39, No. 1, 131-155 (2019). Reviewer: Carlo Laing (Auckland) MSC: 34C15 47G20 45L05 92B25 34D06 05C80 35F20 PDFBibTeX XMLCite \textit{H. Chiba} and \textit{G. S. Medvedev}, Discrete Contin. Dyn. Syst. 39, No. 1, 131--155 (2019; Zbl 1406.34064) Full Text: DOI arXiv
Padrino, Juan C. On the self-similar, Wright-function exact solution for early-time, anomalous diffusion in random networks: comparison with numerical results. (English) Zbl 1400.82252 Int. J. Appl. Comput. Math. 4, No. 5, Paper No. 131, 10 p. (2018). MSC: 82C70 33E20 05C80 35R11 35R09 33C20 35R60 45K05 PDFBibTeX XMLCite \textit{J. C. Padrino}, Int. J. Appl. Comput. Math. 4, No. 5, Paper No. 131, 10 p. (2018; Zbl 1400.82252) Full Text: DOI
Kaliuzhnyi-Verbovetskyi, Dmitry; Medvedev, Georgi S. The semilinear heat equation on sparse random graphs. (English) Zbl 1377.34048 SIAM J. Math. Anal. 49, No. 2, 1333-1355 (2017). Reviewer: Andrey Zahariev (Plovdiv) MSC: 34C15 05C90 37L60 45J05 45L05 74A25 92D25 05C80 45K05 PDFBibTeX XMLCite \textit{D. Kaliuzhnyi-Verbovetskyi} and \textit{G. S. Medvedev}, SIAM J. Math. Anal. 49, No. 2, 1333--1355 (2017; Zbl 1377.34048) Full Text: DOI arXiv
Dugave, Maxime; Göhmann, Frank; Kozlowski, Karol Kajetan Functions characterizing the ground state of the XXZ spin-1/2 chain in the thermodynamic limit. (English) Zbl 1291.82021 SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 043, 18 p. (2014). MSC: 82B20 82B44 82B28 45B05 PDFBibTeX XMLCite \textit{M. Dugave} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 043, 18 p. (2014; Zbl 1291.82021) Full Text: DOI arXiv EMIS
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