Keller, Matthias; Rose, Christian Anchored heat kernel upper bounds on graphs with unbounded geometry and anti-trees. (English) Zbl 07783742 Calc. Var. Partial Differ. Equ. 63, No. 1, Paper No. 20, 18 p. (2024). MSC: 05C10 05C12 39A12 PDFBibTeX XMLCite \textit{M. Keller} and \textit{C. Rose}, Calc. Var. Partial Differ. Equ. 63, No. 1, Paper No. 20, 18 p. (2024; Zbl 07783742) Full Text: DOI arXiv OA License
Bressan, Marco; Peserico, Enoch; Pretto, Luca Sublinear algorithms for local graph-centrality estimation. (English) Zbl 1521.05196 SIAM J. Comput. 52, No. 4, 968-1008 (2023). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05C85 60J22 68W20 68W25 PDFBibTeX XMLCite \textit{M. Bressan} et al., SIAM J. Comput. 52, No. 4, 968--1008 (2023; Zbl 1521.05196) Full Text: DOI arXiv
Levi, Matteo; Martini, Alessio; Santagati, Federico; Tabacco, Anita; Vallarino, Maria Riesz transform for a flow Laplacian on homogeneous trees. (English) Zbl 1512.05083 J. Fourier Anal. Appl. 29, No. 2, Paper No. 15, 29 p. (2023). MSC: 05C05 05C21 42B20 43A22 PDFBibTeX XMLCite \textit{M. Levi} et al., J. Fourier Anal. Appl. 29, No. 2, Paper No. 15, 29 p. (2023; Zbl 1512.05083) Full Text: DOI arXiv
Elvey-Price, Andrew; Nessmann, Andreas; Raschel, Kilian Logarithmic terms in discrete heat kernel expansions in the quadrant. arXiv:2309.15209 Preprint, arXiv:2309.15209 [math.CO] (2023). MSC: 05A16 05A15 05C81 31A30 35K08 BibTeX Cite \textit{A. Elvey-Price} et al., ``Logarithmic terms in discrete heat kernel expansions in the quadrant'', Preprint, arXiv:2309.15209 [math.CO] (2023) Full Text: arXiv OA License
Chinta, Gautam; Jorgenson, Jay; Karlsson, Anders; Smajlović, Lejla The parametrix construction of the heat kernel on a graph. arXiv:2308.04174 Preprint, arXiv:2308.04174 [math.AP] (2023). MSC: 35K08 05C50 35K05 39A12 33C10 BibTeX Cite \textit{G. Chinta} et al., ``The parametrix construction of the heat kernel on a graph'', Preprint, arXiv:2308.04174 [math.AP] (2023) Full Text: arXiv OA License
Jorgenson, Jay; Karlsson, Anders; Smajlović, Lejla The resolvent kernel on the discrete circle and twisted cosecant sums. arXiv:2305.00202 Preprint, arXiv:2305.00202 [math.CO] (2023). MSC: 11L03 05C99 35K08 BibTeX Cite \textit{J. Jorgenson} et al., ``The resolvent kernel on the discrete circle and twisted cosecant sums'', Preprint, arXiv:2305.00202 [math.CO] (2023) Full Text: arXiv OA License
Grigor’yan, Alexander; Lin, Yong; Yau, Shing-Tung Discrete tori and trigonometric sums. (English) Zbl 1502.60117 J. Geom. Anal. 32, No. 12, Paper No. 298, 17 p. (2022). Reviewer: Liping Li (Beijing) MSC: 60J35 11L03 05C81 60J10 PDFBibTeX XMLCite \textit{A. Grigor'yan} et al., J. Geom. Anal. 32, No. 12, Paper No. 298, 17 p. (2022; Zbl 1502.60117) Full Text: DOI
Cheng, Xiuyuan; Wu, Nan Eigen-convergence of Gaussian kernelized graph Laplacian by manifold heat interpolation. (English) Zbl 1496.65203 Appl. Comput. Harmon. Anal. 61, 132-190 (2022). MSC: 65N25 68T05 62H30 05C50 58J60 35R01 PDFBibTeX XMLCite \textit{X. Cheng} and \textit{N. Wu}, Appl. Comput. Harmon. Anal. 61, 132--190 (2022; Zbl 1496.65203) Full Text: DOI arXiv
Hua, Jin Mei; Shen, Wang; Wang, Lin Feng Volume growth on manifolds with quadratic curvature decay and its applications. (English) Zbl 1500.53053 Differ. Geom. Appl. 84, Article ID 101935, 15 p. (2022). MSC: 53C21 05C99 PDFBibTeX XMLCite \textit{J. M. Hua} et al., Differ. Geom. Appl. 84, Article ID 101935, 15 p. (2022; Zbl 1500.53053) Full Text: DOI
Kubo, Tasuku; Namba, Ryuya Monotonic normalized heat diffusion for regular bipartite graphs with four eigenvalues. (English) Zbl 1481.05100 Graphs Comb. 38, No. 1, Paper No. 22, 16 p. (2022). MSC: 05C50 05C25 05B05 60J27 PDFBibTeX XMLCite \textit{T. Kubo} and \textit{R. Namba}, Graphs Comb. 38, No. 1, Paper No. 22, 16 p. (2022; Zbl 1481.05100) Full Text: DOI arXiv
Cygan, Wojciech; Šebek, Stjepan Transition probability estimates for subordinate random walks. (English) Zbl 1527.60032 Math. Nachr. 294, No. 3, 518-558 (2021). MSC: 60G50 05C81 35K08 60J10 60J45 PDFBibTeX XMLCite \textit{W. Cygan} and \textit{S. Šebek}, Math. Nachr. 294, No. 3, 518--558 (2021; Zbl 1527.60032) Full Text: DOI arXiv OA License
Lin, Yong; Ngai, Sze-Man; Yau, Shing-Tung Heat kernels on forms defined on a subgraph of a complete graph. (English) Zbl 1471.05059 Math. Ann. 380, No. 3-4, 1891-1931 (2021). MSC: 05C50 35K08 35K05 39A12 05C20 PDFBibTeX XMLCite \textit{Y. Lin} et al., Math. Ann. 380, No. 3--4, 1891--1931 (2021; Zbl 1471.05059) Full Text: DOI
Nica, Bogdan A note on normalised heat diffusion for graphs. (English) Zbl 1443.05116 Bull. Aust. Math. Soc. 102, No. 1, 1-6 (2020). MSC: 05C50 PDFBibTeX XMLCite \textit{B. Nica}, Bull. Aust. Math. Soc. 102, No. 1, 1--6 (2020; Zbl 1443.05116) Full Text: DOI
Steinerberger, Stefan Generalized designs on graphs: sampling, spectra, symmetries. (English) Zbl 1495.05178 J. Graph Theory 93, No. 2, 253-267 (2020). MSC: 05C50 05C22 05C51 05C70 PDFBibTeX XMLCite \textit{S. Steinerberger}, J. Graph Theory 93, No. 2, 253--267 (2020; Zbl 1495.05178) Full Text: DOI arXiv
Linderman, George C.; Steinerberger, Stefan Numerical integration on graphs: where to sample and how to weigh. (English) Zbl 1437.05143 Math. Comput. 89, No. 324, 1933-1952 (2020). MSC: 05C50 05C70 35P05 65D32 PDFBibTeX XMLCite \textit{G. C. Linderman} and \textit{S. Steinerberger}, Math. Comput. 89, No. 324, 1933--1952 (2020; Zbl 1437.05143) Full Text: DOI arXiv
Hou, Yuhang; Kandel, Santosh Asymptotic analysis of determinant of discrete Laplacian. (English) Zbl 1437.58019 Lett. Math. Phys. 110, No. 2, 259-296 (2020). Reviewer: Léonard Todjihounde (Abomey-Calavi) MSC: 58J52 81T25 05C90 58J35 58J37 34B24 58J32 PDFBibTeX XMLCite \textit{Y. Hou} and \textit{S. Kandel}, Lett. Math. Phys. 110, No. 2, 259--296 (2020; Zbl 1437.58019) Full Text: DOI arXiv
Bramburger, Jason J. Ultracontractive properties for directed graph semigroups with applications to coupled oscillators. (English) Zbl 1436.34008 Can. Math. Bull. 63, No. 1, 13-30 (2020). Reviewer: Guy Katriel (Haifa) MSC: 34A33 05C20 34D05 34A30 34C11 PDFBibTeX XMLCite \textit{J. J. Bramburger}, Can. Math. Bull. 63, No. 1, 13--30 (2020; Zbl 1436.34008) Full Text: DOI arXiv
Horn, Paul; Lin, Yong; Liu, Shuang; Yau, Shing-Tung Volume doubling, Poincaré inequality and Gaussian heat kernel estimate for non-negatively curved graphs. (English) Zbl 1432.35213 J. Reine Angew. Math. 757, 89-130 (2019). Reviewer: Dian K. Palagachev (Bari) MSC: 35R02 58J35 05C22 35K05 53C23 35A23 35K08 35R01 53C21 PDFBibTeX XMLCite \textit{P. Horn} et al., J. Reine Angew. Math. 757, 89--130 (2019; Zbl 1432.35213) Full Text: DOI arXiv
Friedli, Fabien The bundle Laplacian on discrete tori. (English) Zbl 1407.05147 Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 6, No. 1, 97-121 (2019). MSC: 05C50 05C22 05C30 11M41 35K08 58J52 PDFBibTeX XMLCite \textit{F. Friedli}, Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 6, No. 1, 97--121 (2019; Zbl 1407.05147) Full Text: DOI arXiv
Wu, Yiting On-diagonal lower estimate of heat kernels for locally finite graphs and its application to the semilinear heat equations. (English) Zbl 1423.35233 Comput. Math. Appl. 76, No. 4, 810-817 (2018). MSC: 35K91 05C22 35K08 35K15 PDFBibTeX XMLCite \textit{Y. Wu}, Comput. Math. Appl. 76, No. 4, 810--817 (2018; Zbl 1423.35233) Full Text: DOI
Kan, Nahomi; Shiraishi, Kiyoshi Free energy on a cycle graph and trigonometric deformation of heat kernel traces on odd spheres. (English) Zbl 1387.35321 J. Phys. A, Math. Theor. 51, No. 3, Article ID 035203, 23 p. (2018). MSC: 35K08 35J05 05C38 82B30 PDFBibTeX XMLCite \textit{N. Kan} and \textit{K. Shiraishi}, J. Phys. A, Math. Theor. 51, No. 3, Article ID 035203, 23 p. (2018; Zbl 1387.35321) Full Text: DOI arXiv
Lin, Yong; Wu, Yiting On-diagonal lower estimate of heat kernels on graphs. (English) Zbl 1388.58017 J. Math. Anal. Appl. 456, No. 2, 1040-1048 (2017). MSC: 58J35 05C99 35K08 PDFBibTeX XMLCite \textit{Y. Lin} and \textit{Y. Wu}, J. Math. Anal. Appl. 456, No. 2, 1040--1048 (2017; Zbl 1388.58017) Full Text: DOI arXiv
Lin, Yong Li-Yau inequality on graphs. (English) Zbl 1379.31016 Lin, Chang-Shou (ed.) et al., Proceedings of the sixth international congress of Chinese mathematicians, ICCM 2013, Taipei, Taiwan, July 14–19, 2013. Volume II. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-349-4/pbk; 978-1-57146-350-0/set). Advanced Lectures in Mathematics (ALM) 37, 445-459 (2017). MSC: 31C20 05C99 35K08 PDFBibTeX XMLCite \textit{Y. Lin}, Adv. Lect. Math. (ALM) 37, 445--459 (2017; Zbl 1379.31016)
Price, Thomas McMurray An inequality for the heat kernel on an abelian Cayley graph. (English) Zbl 1427.60165 Electron. Commun. Probab. 22, Paper No. 57, 8 p. (2017). MSC: 60J27 60G50 05C80 PDFBibTeX XMLCite \textit{T. M. Price}, Electron. Commun. Probab. 22, Paper No. 57, 8 p. (2017; Zbl 1427.60165) Full Text: DOI arXiv Euclid
Haeseler, Sebastian; Huang, Xueping; Lenz, Daniel; Pogorzelski, Felix Diffusion on Delone sets. (English) Zbl 1380.37034 J. Stat. Phys. 167, No. 6, 1496-1510 (2017). Reviewer: Michael Baake (Bielefeld) MSC: 37B50 05B45 52C23 PDFBibTeX XMLCite \textit{S. Haeseler} et al., J. Stat. Phys. 167, No. 6, 1496--1510 (2017; Zbl 1380.37034) Full Text: DOI arXiv
Peng, Richard; Sun, He; Zanetti, Luca Partitioning well-clustered graphs: spectral clustering works! (English) Zbl 1370.05204 SIAM J. Comput. 46, No. 2, 710-743 (2017). MSC: 05C85 05C50 05C70 68R10 68W20 68W25 PDFBibTeX XMLCite \textit{R. Peng} et al., SIAM J. Comput. 46, No. 2, 710--743 (2017; Zbl 1370.05204) Full Text: DOI arXiv
Chen, Xinxing Pointwise upper estimates for transition probabilities of continuous time random walks on graphs. (English. French summary) Zbl 1361.60030 Ann. Inst. Henri Poincaré, Probab. Stat. 53, No. 1, 27-45 (2017). MSC: 60G50 05C81 35K08 PDFBibTeX XMLCite \textit{X. Chen}, Ann. Inst. Henri Poincaré, Probab. Stat. 53, No. 1, 27--45 (2017; Zbl 1361.60030) Full Text: DOI arXiv Euclid
Chung, Fan; Simpson, Olivia Distributed algorithms for finding local clusters using heat kernel PageRank. (English) Zbl 1342.05159 Gleich, F. (ed.) et al., Algorithms and models for the web graph. 12th international workshop, WAW 2015, Eindhoven, The Netherlands, December 10–11, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-26783-8/pbk; 978-3-319-26784-5/ebook). Lecture Notes in Computer Science 9479, 177-189 (2015). MSC: 05C82 05C81 05C85 68W15 68M11 68R10 PDFBibTeX XMLCite \textit{F. Chung} and \textit{O. Simpson}, Lect. Notes Comput. Sci. 9479, 177--189 (2015; Zbl 1342.05159) Full Text: DOI arXiv
Chinta, G.; Jorgenson, J.; Karlsson, A. Heat kernels on regular graphs and generalized Ihara zeta function formulas. (English) Zbl 1321.05118 Monatsh. Math. 178, No. 2, 171-190 (2015). MSC: 05C30 35K08 33C10 11M41 PDFBibTeX XMLCite \textit{G. Chinta} et al., Monatsh. Math. 178, No. 2, 171--190 (2015; Zbl 1321.05118) Full Text: DOI arXiv Link
Chung, Fan; Simpson, Olivia Computing heat kernel Pagerank and a local clustering algorithm. (English) Zbl 1401.05273 Kratochvíl, Jan (ed.) et al., Combinatorial algorithms. 25th international workshop, IWOCA 2014, Duluth, MN, USA, October 15–17, 2014. Revised selected papers. Cham: Springer (ISBN 978-3-319-19314-4/pbk; 978-3-319-19315-1/ebook). Lecture Notes in Computer Science 8986, 110-121 (2015). MSC: 05C82 05C85 68W25 68Q87 PDFBibTeX XMLCite \textit{F. Chung} and \textit{O. Simpson}, Lect. Notes Comput. Sci. 8986, 110--121 (2015; Zbl 1401.05273) Full Text: DOI arXiv
Bauer, Frank; Horn, Paul; Lin, Yong; Lippner, Gabor; Mangoubi, Dan; Yau, Shing-Tung Li-Yau inequality on graphs. (English) Zbl 1323.35189 J. Differ. Geom. 99, No. 3, 359-405 (2015). Reviewer: Volker Branding (Wien) MSC: 35R02 05C10 57M15 58J35 PDFBibTeX XMLCite \textit{F. Bauer} et al., J. Differ. Geom. 99, No. 3, 359--405 (2015; Zbl 1323.35189) Full Text: DOI arXiv Euclid
Kumagai, Takashi Anomalous random walks and diffusions: from fractals to random media. (English) Zbl 1373.60135 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. IV: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-807-0/hbk; 978-89-6105-803-2/set). 75-94 (2014). MSC: 60J45 05C81 60K37 PDFBibTeX XMLCite \textit{T. Kumagai}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. IV: Invited lectures. Seoul: KM Kyung Moon Sa. 75--94 (2014; Zbl 1373.60135)
Nemri, Akram On the connection between heat and wave problems in quantum calculus and applications. (English) Zbl 1528.44004 Math. Mech. Solids 18, No. 8, 849-860 (2013). MSC: 44A20 05A30 33D05 33D45 PDFBibTeX XMLCite \textit{A. Nemri}, Math. Mech. Solids 18, No. 8, 849--860 (2013; Zbl 1528.44004) Full Text: DOI
Chung, Fan; Simpson, Olivia Solving linear systems with boundary conditions using heat kernel PageRank. (English) Zbl 1342.05057 Bonato, Anthony (ed.) et al., Algorithms and models for the web graph. 10th international workshop, WAW 2013, Cambridge, MA, USA, December 14–15, 2013. Proceedings. Berlin: Springer (ISBN 978-3-319-03535-2/pbk). Lecture Notes in Computer Science 8305, 203-219 (2013). MSC: 05C21 05C82 05C50 68M11 68R10 PDFBibTeX XMLCite \textit{F. Chung} and \textit{O. Simpson}, Lect. Notes Comput. Sci. 8305, 203--219 (2013; Zbl 1342.05057) Full Text: DOI arXiv
Buckley, Stephen Anomalous heat kernel behaviour for the dynamic random conductance model. (English) Zbl 1320.60162 Electron. Commun. Probab. 18, Paper No. 1, 11 p. (2013). MSC: 60K37 60G50 60J27 05C81 PDFBibTeX XMLCite \textit{S. Buckley}, Electron. Commun. Probab. 18, Paper No. 1, 11 p. (2013; Zbl 1320.60162) Full Text: DOI
Zhang, Zhongyang; Zhang, Lixin Quenched invariance principle for a long-range random walk with unbounded conductances. (English) Zbl 1286.60104 ALEA, Lat. Am. J. Probab. Math. Stat. 10, No. 2, 921-952 (2013). MSC: 60K37 60F17 60K35 60G55 05C80 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{L. Zhang}, ALEA, Lat. Am. J. Probab. Math. Stat. 10, No. 2, 921--952 (2013; Zbl 1286.60104) Full Text: arXiv Link
Damaschke, Peter Sparse solutions of sparse linear systems: fixed-parameter tractability and an application of complex group testing. (English) Zbl 1358.68127 Theor. Comput. Sci. 511, 137-146 (2013). MSC: 68Q25 05C65 65F50 80A50 PDFBibTeX XMLCite \textit{P. Damaschke}, Theor. Comput. Sci. 511, 137--146 (2013; Zbl 1358.68127) Full Text: DOI
Díaz, Rafael Indirect influences. (English) Zbl 1274.05462 Adv. Stud. Contemp. Math., Kyungshang 23, No. 1, 29-41 (2013). MSC: 05C99 60C99 05C82 PDFBibTeX XMLCite \textit{R. Díaz}, Adv. Stud. Contemp. Math., Kyungshang 23, No. 1, 29--41 (2013; Zbl 1274.05462) Full Text: arXiv
Misumi, Jun Heat kernel estimates for random walks on some kinds of one-dimensional continuum percolation clusters. (English) Zbl 1235.60140 Tokyo J. Math. 34, No. 1, 1-17 (2011). Reviewer: Piotr Garbaczewski (Opole) MSC: 60K35 05C81 82B43 82C43 82C41 60G55 PDFBibTeX XMLCite \textit{J. Misumi}, Tokyo J. Math. 34, No. 1, 1--17 (2011; Zbl 1235.60140) Full Text: DOI
Wojciechowski, Radosław Krzysztof Stochastically incomplete manifolds and graphs. (English) Zbl 1221.39008 Lenz, Daniel (ed.) et al., Random walks, boundaries and spectra. Proceedings of the workshop on boundaries, Graz, Austria, June 29–July 3, 2009 and the Alp-workshop, Sankt Kathrein, Austria, July 4–5, 2009. Basel: Birkhäuser (ISBN 978-3-0346-0243-3/hbk; 978-3-0346-0244-0/ebook). Progress in Probability 64, 163-179 (2011). MSC: 39A12 60J60 58J65 05C62 PDFBibTeX XMLCite \textit{R. K. Wojciechowski}, Prog. Probab. 64, 163--179 (2011; Zbl 1221.39008) Full Text: DOI arXiv
Chung, Fan Four proofs for the Cheeger inequality and graph partition algorithms. (English) Zbl 1210.05076 Ji, Lizhen (ed.) et al., Fourth international congress of Chinese mathematicians. Proceedings of the ICCM ’07, Hangzhou, China, December 17–22, 2007. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press (ISBN 978-0-8218-5021-3/pbk). AMS/IP Studies in Advanced Mathematics 48, 331-349 (2010). MSC: 05C50 68R10 PDFBibTeX XMLCite \textit{F. Chung}, AMS/IP Stud. Adv. Math. 48, 331--349 (2010; Zbl 1210.05076)
El-Ghawalby, H.; Hancock, E. R. Geometric characterizations of graphs using heat kernel embeddings. (English) Zbl 1257.05101 Hancock, Edwin R. (ed.) et al., Mathematics of surfaces XIII. 13th IMA international conference York, UK, September 7–9, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-03595-1/pbk). Lecture Notes in Computer Science 5654, 124-142 (2009). MSC: 05C62 05C10 53A04 PDFBibTeX XMLCite \textit{H. El-Ghawalby} and \textit{E. R. Hancock}, Lect. Notes Comput. Sci. 5654, 124--142 (2009; Zbl 1257.05101) Full Text: DOI
Wojciechowski, Radoslaw K. Heat kernel and essential spectrum of infinite graphs. (English) Zbl 1231.05186 Indiana Univ. Math. J. 58, No. 3, 1419-1442 (2009). MSC: 05C63 05C50 39A12 58J35 PDFBibTeX XMLCite \textit{R. K. Wojciechowski}, Indiana Univ. Math. J. 58, No. 3, 1419--1442 (2009; Zbl 1231.05186) Full Text: DOI arXiv
ElGhawalby, Hewayda; Hancock, Edwin R. Graph regularisation using Gaussian curvature. (English) Zbl 1248.68375 Torsello, Andrea (ed.) et al., Graph-based representations in pattern recognition. 7th IAPR-TC-15 international workshop, GbRPR 2009, Venice, Italy, May 26–28, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-02123-7/pbk). Lecture Notes in Computer Science 5534, 233-242 (2009). MSC: 68R10 05C62 68T45 68U05 68U10 PDFBibTeX XMLCite \textit{H. ElGhawalby} and \textit{E. R. Hancock}, Lect. Notes Comput. Sci. 5534, 233--242 (2009; Zbl 1248.68375) Full Text: DOI
Kumagai, Takashi; Misumi, Jun Heat kernel estimates for strongly recurrent random walk on random media. (English) Zbl 1159.60029 J. Theor. Probab. 21, No. 4, 910-935 (2008). Reviewer: Daniel Boivin (Brest) MSC: 60J45 05C80 35K05 82B43 PDFBibTeX XMLCite \textit{T. Kumagai} and \textit{J. Misumi}, J. Theor. Probab. 21, No. 4, 910--935 (2008; Zbl 1159.60029) Full Text: DOI arXiv
Horton, Matthew D.; Newland, Derek B.; Terras, Audrey A. The contest between the kernels in the Selberg trace formula for the \((q+1)\)-regular tree. (English) Zbl 1147.11031 Jorgenson, Jay (ed.) et al., The ubiquitous heat kernel. AMS special session, Boulder, CO, USA, October 2–4, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3698-6/pbk). Contemporary Mathematics 398, 265-293 (2006). Reviewer: Jürgen Elstrodt (Münster) MSC: 11F72 05C25 05C38 05C50 11F25 PDFBibTeX XMLCite \textit{M. D. Horton} et al., Contemp. Math. 398, 265--293 (2006; Zbl 1147.11031)
Barlow, Martin T. Random walks on supercritical percolation clusters. (English) Zbl 1067.60101 Ann. Probab. 32, No. 4, 3024-3084 (2004). Reviewer: Piotr Garbaczewski (Zielona Góra) MSC: 60K37 58J35 82B43 05C80 PDFBibTeX XMLCite \textit{M. T. Barlow}, Ann. Probab. 32, No. 4, 3024--3084 (2004; Zbl 1067.60101) Full Text: DOI arXiv
Urakawa, Hajime The Cheeger constant, the heat kernel, and the Green kernel of an infinite graph. (English) Zbl 1053.05084 Monatsh. Math. 138, No. 3, 225-237 (2003). Reviewer: Shizan Fang (Dijon) MSC: 05C50 PDFBibTeX XMLCite \textit{H. Urakawa}, Monatsh. Math. 138, No. 3, 225--237 (2003; Zbl 1053.05084) Full Text: DOI
Chung, Fan Spanning trees in subgraphs of lattices. (English) Zbl 0942.05045 Fried, Michael D. (ed.), Applications of curves over finite fields. 1997 AMS-IMS-SIAM joint summer research conference, July 27-31, 1997, Seattle, WA, USA. Providence, RI: American Mathematical Society. Contemp. Math. 245, 201-219 (1999). MSC: 05C50 35P05 46N20 47N20 58J99 PDFBibTeX XMLCite \textit{F. Chung}, Contemp. Math. 245, 201--219 (1999; Zbl 0942.05045)
Chung, Fan; Yau, S.-T. Coverings, heat kernels and spanning trees. (English) Zbl 0915.05084 Electron. J. Comb. 6, No. 1, Research paper R12, 21 p. (1999); printed version J. Comb. 6, 163-183 (1999). Reviewer: B.K.Dass (Delhi) MSC: 05C50 35P05 58J99 PDFBibTeX XMLCite \textit{F. Chung} and \textit{S. T. Yau}, Electron. J. Comb. 6, No. 1, Research paper R12, 21 p. (1999; Zbl 0915.05084) Full Text: EuDML EMIS
Chung, F. R. K.; Yau, S.-T. A combinatorial trace formula. (English) Zbl 0881.05090 Yau, Shing-Tung (ed.), Tsing Hua lectures on geometry and analysis, Taiwan, 1990-91. Cambridge, MA: International Press. 107-116 (1997). MSC: 05C50 39A12 PDFBibTeX XMLCite \textit{F. R. K. Chung} and \textit{S. T. Yau}, in: Tsing Hua lectures on geometry and analysis, Taiwan, 1990-91. Cambridge, MA: International Press. 107--116 (1997; Zbl 0881.05090)
Urakawa, Hajime Heat kernel and Green kernel comparison theorems for infinite graphs. (English) Zbl 0870.05070 J. Funct. Anal. 146, No. 1, 206-235 (1997). Reviewer: M.Crasmareanu (Iaşi) MSC: 05C99 05C50 60G50 PDFBibTeX XMLCite \textit{H. Urakawa}, J. Funct. Anal. 146, No. 1, 206--235 (1997; Zbl 0870.05070) Full Text: DOI