Avramidi, Ivan G. Heat semigroups on Weyl algebra. (English) Zbl 1456.58020 J. Geom. Phys. 161, Article ID 104044, 25 p. (2021). MSC: 58J50 58J35 58J37 58J53 58J90 PDFBibTeX XMLCite \textit{I. G. Avramidi}, J. Geom. Phys. 161, Article ID 104044, 25 p. (2021; Zbl 1456.58020) Full Text: DOI arXiv
Avramidi, Ivan G. Relative spectral invariants of elliptic operators on manifolds. (English) Zbl 1507.58011 J. Geom. Phys. 150, Article ID 103599, 36 p. (2020). MSC: 58J50 58J35 58J37 58J53 58J90 PDFBibTeX XMLCite \textit{I. G. Avramidi}, J. Geom. Phys. 150, Article ID 103599, 36 p. (2020; Zbl 1507.58011) Full Text: DOI arXiv
Avramidi, Ivan G. Quantum heat traces. (English) Zbl 1354.58021 J. Geom. Phys. 112, 271-288 (2017). MSC: 58J35 58J37 58J50 58J52 PDFBibTeX XMLCite \textit{I. G. Avramidi}, J. Geom. Phys. 112, 271--288 (2017; Zbl 1354.58021) Full Text: DOI arXiv
Avramidi, Ivan G.; Buckman, Benjamin J. Heat determinant on manifolds. (English) Zbl 1344.53033 J. Geom. Phys. 104, 64-88 (2016). Reviewer: Huỳnh Quang Vū (Ho Chi Minh City) MSC: 53C21 58J35 35K08 PDFBibTeX XMLCite \textit{I. G. Avramidi} and \textit{B. J. Buckman}, J. Geom. Phys. 104, 64--88 (2016; Zbl 1344.53033) Full Text: DOI arXiv
Avramidi, Ivan G.; Fucci, Guglielmo Non-perturbative heat kernel asymptotics on homogeneous Abelian bundles. (English) Zbl 1225.58013 Commun. Math. Phys. 291, No. 2, 543-577 (2009). MSC: 58J37 PDFBibTeX XMLCite \textit{I. G. Avramidi} and \textit{G. Fucci}, Commun. Math. Phys. 291, No. 2, 543--577 (2009; Zbl 1225.58013) Full Text: DOI arXiv
Avramidi, Ivan G. Heat kernel on homogeneous bundles. (English) Zbl 1223.58019 Int. J. Geom. Methods Mod. Phys. 5, No. 3, 407-429 (2008). MSC: 58J37 53C35 PDFBibTeX XMLCite \textit{I. G. Avramidi}, Int. J. Geom. Methods Mod. Phys. 5, No. 3, 407--429 (2008; Zbl 1223.58019) Full Text: DOI arXiv
Avramidi, Ivan G. Heat kernel asymptotics on symmetric spaces. (English) Zbl 1163.58007 Commun. Math. Anal., Conference 1, 1-10 (2008). MSC: 58J35 58J37 58J50 53C35 PDFBibTeX XMLCite \textit{I. G. Avramidi}, Commun. Math. Anal., 1--10 (2006; Zbl 1163.58007) Full Text: arXiv
Avramidi, Ivan G. Non-Laplace type operators on manifolds with boundary. (English) Zbl 1122.58013 Booß-Bavnbek, Bernhelm (ed.) et al., Analysis, geometry and topology of elliptic operators. Papers of a workshop in honor of Krzysztof P. Wojciechowski on his 50th birthday, Roskilde, Denmark, May 20–22, 2005. Hackensack, NJ: World Scientific (ISBN 981-256-805-0/hbk). 107-140 (2006). Reviewer: Georgi E. Karadzhov (Sofia) MSC: 58J32 58J50 PDFBibTeX XMLCite \textit{I. G. Avramidi}, in: Analysis, geometry and topology of elliptic operators. Papers of a workshop in honor of Krzysztof P. Wojciechowski on his 50th birthday, Roskilde, Denmark, May 20--22, 2005. Hackensack, NJ: World Scientific. 107--140 (2006; Zbl 1122.58013) Full Text: arXiv
Avramidi, Ivan G. Heat kernel asymptotics of the Zaremba boundary value problem. (English) Zbl 1079.58018 Math. Phys. Anal. Geom. 7, No. 1, 9-46 (2004). Reviewer: Alessandro Savo (Roma) MSC: 58J35 58J37 58J50 58J32 35P20 35K20 PDFBibTeX XMLCite \textit{I. G. Avramidi}, Math. Phys. Anal. Geom. 7, No. 1, 9--46 (2004; Zbl 1079.58018) Full Text: DOI arXiv
Avramidi, Ivan; Branson, Thomas A discrete leading symbol and spectral asymptotics for natural differential operators. (English) Zbl 1024.58016 J. Funct. Anal. 190, No. 1, 292-337 (2002). Reviewer: Kenro Furutani (Chiba-ken) MSC: 58J50 58J60 PDFBibTeX XMLCite \textit{I. Avramidi} and \textit{T. Branson}, J. Funct. Anal. 190, No. 1, 292--337 (2002; Zbl 1024.58016) Full Text: DOI arXiv
Avramidi, Ivan G.; Branson, Thomas Heat kernel asymptotics of operators with non-Laplace principal part. (English) Zbl 1031.58015 Rev. Math. Phys. 13, No. 7, 847-890 (2001). Reviewer: Dian K.Palagachev (Bari) MSC: 58J35 58J37 58J50 35K05 47F05 PDFBibTeX XMLCite \textit{I. G. Avramidi} and \textit{T. Branson}, Rev. Math. Phys. 13, No. 7, 847--890 (2001; Zbl 1031.58015) Full Text: DOI arXiv
Avramidi, Ivan G. Heat kernel and quantum gravity. (English) Zbl 0956.83002 Lecture Notes in Physics. New Series m: Monographs. 64. Berlin: Springer. x, 149 p. (2000). Reviewer: Hans-Jürgen Schmidt (Potsdam) MSC: 83-02 83C45 58J30 PDFBibTeX XMLCite \textit{I. G. Avramidi}, Heat kernel and quantum gravity. Berlin: Springer (2000; Zbl 0956.83002) Full Text: DOI
Avramidi, I. G.; Esposito, G. Heat-kernel asymptotics of the Gilkey-Smith boundary-value problem. (English) Zbl 1112.58306 Alexiades, Vasilios (ed.) et al., Trends in mathematical physics. Proceedings of the conference, University of Tennessee, Knoxville, TN, USA, October 14–17, 1998. Providence, RI: American Mathematical Society (ISBN 0-8218-2006-0/pbk). AMS/IP Stud. Adv. Math. 13, 15-33 (1999). MSC: 58J35 58J37 58J50 PDFBibTeX XMLCite \textit{I. G. Avramidi} and \textit{G. Esposito}, AMS/IP Stud. Adv. Math. 13, 15--33 (1999; Zbl 1112.58306) Full Text: arXiv
Avramidi, Ivan G.; Esposito, Giampiero Gauge theories on manifolds with boundary. (English) Zbl 0920.58076 Commun. Math. Phys. 200, No. 3, 495-543 (1999). MSC: 58Z05 81T13 PDFBibTeX XMLCite \textit{I. G. Avramidi} and \textit{G. Esposito}, Commun. Math. Phys. 200, No. 3, 495--543 (1999; Zbl 0920.58076) Full Text: DOI arXiv
Avramidi, I. G. Erratum to: “Covariant algebraic method for calculation of the low-energy heat kernel”. (English) Zbl 1056.58501 J. Math. Phys. 39, No. 3, 1720 (1998). MSC: 58J35 35J10 35K05 58J37 PDFBibTeX XMLCite \textit{I. G. Avramidi}, J. Math. Phys. 39, No. 3, 1720 (1998; Zbl 1056.58501) Full Text: DOI
Avramidi, Ivan G.; Esposito, Giampiero New invariants in the 1-loop divergences on manifolds with boundary. (English) Zbl 0914.58034 Classical Quantum Gravity 15, No. 2, 281-297 (1998). MSC: 58J32 81T20 58J37 83C40 PDFBibTeX XMLCite \textit{I. G. Avramidi} and \textit{G. Esposito}, Classical Quantum Gravity 15, No. 2, 281--297 (1998; Zbl 0914.58034) Full Text: DOI arXiv
Avramidi, I. G. Nonperturbative methods for calculating the heat kernel. (English) Zbl 0915.58098 Tsagas, Grigorios (ed.), Proceedings of the workshop on global analysis, differential geometry and Lie algebras, Aristotle University of Thessaloniki, Greece, December 14–17, 1994. Bucharest: Geometry Balkan Press. BSG Proc. 2, 7-21 (1998). Reviewer: H.-B.Rademacher (Leipzig) MSC: 58J35 58J37 81T20 81Q20 58J52 PDFBibTeX XMLCite \textit{I. G. Avramidi}, BSG Proc. 2, 7--21 (1998; Zbl 0915.58098) Full Text: arXiv