Ricci curvature of Bruhat orders

Advances in Applied Mathematics - Tập 139 - Trang 102375 - 2022
Viola Siconolfi1
1Dipartimento di Matematica, Università di Pisa, Largo B. Pontecorvo 56127, Pisa, Italy

Tài liệu tham khảo

Adin, 2006, On degrees in the Hasse diagram of the strong Bruhat order, Sémin. Lothar. Comb., 53 Bauer, 2015, Li-Yau inequality on graphs, J. Differ. Geom., 99, 359, 10.4310/jdg/1424880980 Bauer, 2017, Sharp Davies-Gaffney-Grigor'yan lemma on graphs, Math. Ann., 368, 1429, 10.1007/s00208-017-1529-z Bjorner, 2005, Combinatorics of Coxeter Groups Bohar, 1989, Isoperimetric numbers of graphs, J. Comb. Theory, Ser. B, 47, 274, 10.1016/0095-8956(89)90029-4 Bonini Chung, 2014, Harnack inequalities for graphs with non-negative Ricci curvature, J. Math. Anal. Appl., 415, 25, 10.1016/j.jmaa.2014.01.044 Chung, 2017, A strong Harnack inequality for graphs, Commun. Anal. Geom., 25, 557, 10.4310/CAG.2017.v25.n3.a3 Chung, 2014, Harnack inequalities for graphs with non-negative Ricci curvature, J. Math. Anal. Appl., 415, 25, 10.1016/j.jmaa.2014.01.044 Cushing, 2019, The graph curvature calculator and the curvatures of cubic graphs, Exp. Math., 1 Cushing, 2020, Curvature calculation for antitrees, 21 Cushing, 2020, Bakry-Émery curvature functions on graphs, Can. J. Math., 72, 89, 10.4153/CJM-2018-015-4 Elworthy, 1991, Manifolds and graphs with mostly positive curvatures, vol. 26, 96 Gong, 2019, Li-Yau inequality for unbounded Laplacian on graphs, Adv. Math., 357, 23, 10.1016/j.aim.2019.106822 Hoory, 2006, Expander graphs and their applications, Bull. Am. Math. Soc., 43, 439, 10.1090/S0273-0979-06-01126-8 Horn, 2019, Volume doubling, Poincarè inequality and Gaussian heat kernel estimate for non-negatively curved graphs, J. Reine Angew. Math., 757, 89, 10.1515/crelle-2017-0038 Humphreys, 1992 Jost, 2014, Local clustering and curvature-dimension inequalities on graphs, Discrete Comput. Geom., 51, 300, 10.1007/s00454-013-9558-1 Kempton Klartang, 2016, Discrete curvature and abelian groups, Can. J. Math., 68, 655, 10.4153/CJM-2015-046-8 Lin, 2011, Ricci curvature of graphs, Tohoku Math. J. (2), 63, 605, 10.2748/tmj/1325886283 Lin, 2014, Ricci-flat graphs with girth at least five, Commun. Anal. Geom., 22, 671, 10.4310/CAG.2014.v22.n4.a3 Lin Lin, 2010, Ricci curvature and eigenvalue estimate on locally finite graphs, Math. Res. Lett., 17, 343, 10.4310/MRL.2010.v17.n2.a13 Liu, 2019, Curvature and higher order Buser inequalities for the graph connection Laplacian, SIAM J. Discrete Math., 33, 257, 10.1137/16M1056353 2008 Pang, 1993, Heat kernels of graphs, J. Lond. Math. Soc., s2–47, 50, 10.1112/jlms/s2-47.1.50 The Sage Developers Schmuckenschläger, 1998, Curvature of non local Markov generators, vol. 34, 189 Siconolfi, 2020, Coxeter groups, Bruhat graphs and Ricci curvature, Sémin. Lothar. Comb., 84B, 12 Siconolfi Siconolfi, 2021, Ricci curvature, graphs and eigenvalues, Linear Algebra Appl., 620, 241, 10.1016/j.laa.2021.02.026