Bezuglyi, Sergey; Jorgensen, Palle E. T. Symmetric measures, continuous networks, and dynamics. (English) Zbl 1503.60105 Alpay, Daniel (ed.) et al., New directions in function theory: from complex to hypercomplex to non-commutative. Selected papers based on the presentations at the conference, Chapman University, Orange, CA, USA, November 21–26, 2019. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 286, 139-197 (2021). MSC: 60J25 31C12 60G50 PDFBibTeX XMLCite \textit{S. Bezuglyi} and \textit{P. E. T. Jorgensen}, Oper. Theory: Adv. Appl. 286, 139--197 (2021; Zbl 1503.60105) Full Text: DOI
Bezuglyi, Sergey; Jorgensen, Palle E. T. Graph Laplace and Markov operators on a measure space. (English) Zbl 1454.47098 Alpay, Daniel (ed.) et al., Linear systems, signal processing and hypercomplex analysis. Selected papers of the conference on mathematics, signal processing and linear systems: new problems and directions, Chapman University, Orange, CA, USA, November 14–19, 2017. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 275, 67-138 (2019). Reviewer: Michael Perelmuter (Kyïv) MSC: 47N30 60J05 47D07 47B25 37B10 37A30 47L50 60J45 PDFBibTeX XMLCite \textit{S. Bezuglyi} and \textit{P. E. T. Jorgensen}, Oper. Theory: Adv. Appl. 275, 67--138 (2019; Zbl 1454.47098) Full Text: DOI arXiv
Jorgensen, Palle E. T.; Pearse, Erin P. J. Symmetric pairs and self-adjoint extensions of operators, with applications to energy networks. (English) Zbl 1353.05080 Complex Anal. Oper. Theory 10, No. 7, 1535-1550 (2016). MSC: 05C50 05C63 05C82 46B22 46E22 47B15 47B25 47B32 47B39 60J10 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} and \textit{E. P. J. Pearse}, Complex Anal. Oper. Theory 10, No. 7, 1535--1550 (2016; Zbl 1353.05080) Full Text: DOI arXiv
Jorgensen, Palle E. T.; Pearse, Erin P. J. A discrete Gauss-Green identity for unbounded Laplace operators, and the transience of random walks. (English) Zbl 1275.05054 Isr. J. Math. 196, 113-160 (2013). MSC: 05C81 05C50 05C75 05C63 47B25 60J10 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} and \textit{E. P. J. Pearse}, Isr. J. Math. 196, 113--160 (2013; Zbl 1275.05054) Full Text: DOI arXiv
Jorgensen, Palle E. T.; Pearse, Erin P. J. Gelfand triples and boundaries of infinite networks. (English) Zbl 1241.05080 New York J. Math. 17, 745-781 (2011). MSC: 05C50 05C75 31C20 46E22 47B25 47B32 60J10 31C35 47B39 82C41 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} and \textit{E. P. J. Pearse}, New York J. Math. 17, 745--781 (2011; Zbl 1241.05080) Full Text: arXiv EMIS
Jorgensen, Palle E. T.; Pearse, Erin P. J. Resistance boundaries of infinite networks. (English) Zbl 1223.05175 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, 111-142 (2011). MSC: 05C50 05C75 31C20 46E22 47B25 47B32 60J10 31C35 47B39 82C41 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} and \textit{E. P. J. Pearse}, Prog. Probab. 64, 111--142 (2011; Zbl 1223.05175) Full Text: DOI arXiv
Jorgensen, Palle E. T.; Pearse, Erin P. J. Self-adjoint extensions of network Laplacians and applications to resistance metrics. arXiv:1103.5792 Preprint, arXiv:1103.5792 [math.SP] (2011). MSC: 05C50 37A30 46E22 47B15 47B25 47B32 60J10 47B39 46B22 BibTeX Cite \textit{P. E. T. Jorgensen} and \textit{E. P. J. Pearse}, ``Self-adjoint extensions of network Laplacians and applications to resistance metrics'', Preprint, arXiv:1103.5792 [math.SP] (2011) Full Text: arXiv OA License
Jorgensen, Palle E. T.; Pearse, Erin Peter James A Hilbert space approach to effective resistance metric. (English) Zbl 1209.05144 Complex Anal. Oper. Theory 4, No. 4, 975-1013 (2010). MSC: 05C50 05C75 31C20 46E22 47B25 47B32 60J10 31C35 47B39 82C41 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} and \textit{E. P. J. Pearse}, Complex Anal. Oper. Theory 4, No. 4, 975--1013 (2010; Zbl 1209.05144) Full Text: DOI arXiv
Jorgensen, Palle E. T.; Pearse, Erin P. J. Operator theory of electrical resistance networks. arXiv:0806.3881 Preprint, arXiv:0806.3881 [math.OA] (2008). MSC: 05C50 05C75 31C20 46E22 47B25 47B32 46L60 60J10 82C10 81Q10 BibTeX Cite \textit{P. E. T. Jorgensen} and \textit{E. P. J. Pearse}, ``Operator theory of electrical resistance networks'', Preprint, arXiv:0806.3881 [math.OA] (2008) Full Text: arXiv OA License