Edit Profile (opens in new tab) Avramidi, Ivan G. Co-Author Distance Author ID: avramidi.ivan-g Published as: Avramidi, Ivan G.; Avramidi, I. G.; Avramidi, Ivan more...less External Links: Wikidata · GND · IdRef Documents Indexed: 51 Publications since 1995, including 3 Books and 3 Additional arXiv Preprints Reviewing Activity: 1 Review Co-Authors: 7 Co-Authors with 21 Joint Publications 157 Co-Co-Authors all top 5 Co-Authors 30 single-authored 7 Esposito, Giampiero 5 Fucci, Guglielmo 4 Collopy, Samuel J. 2 Branson, Thomas Patrick 2 Kamenshchik, Aleksandr Yur’evich 2 Schimming, Rainer 1 Buckman, Benjamin J. all top 5 Serials 9 Journal of Mathematical Physics 6 Classical and Quantum Gravity 4 Communications in Mathematical Physics 4 Journal of Geometry and Physics 2 Reviews in Mathematical Physics 2 Journal of High Energy Physics 2 International Journal of Geometric Methods in Modern Physics 1 General Relativity and Gravitation 1 Physics Letters. B 1 Fortschritte der Physik 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Nuclear Physics. B. Proceedings Supplements 1 Mathematical Physics, Analysis and Geometry 1 Advances in Theoretical and Mathematical Physics 1 Lecture Notes in Physics. New Series m: Monographs 1 Communications in Mathematical Analysis 1 Journal of Physics A: Mathematical and Theoretical 1 Frontiers in Mathematics all top 5 Fields 32 Global analysis, analysis on manifolds (58-XX) 20 Quantum theory (81-XX) 20 Relativity and gravitational theory (83-XX) 11 Partial differential equations (35-XX) 4 Differential geometry (53-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Operator theory (47-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 42 Publications have been cited 275 times in 161 Documents Cited by ▼ Year ▼ Heat kernel and quantum gravity. Zbl 0956.83002 Avramidi, Ivan G. 55 2000 Covariant techniques for computation of the heat kernel. Zbl 0973.58013 Avramidi, I. G. 20 1999 Heat kernel method and its applications. Zbl 1342.35001 Avramidi, Ivan G. 16 2015 A new algebraic approach for calculating the heat kernel in quantum gravity. Zbl 0862.58054 Avramidi, I. G. 16 1996 A new explicit expression for the Korteweg-de Vries hierarchy. Zbl 0984.37084 Avramidi, Ivan; Schimming, Rainer 12 2000 Covariant algebraic calculation of the one-loop effective potential in non-Abelian gauge theory and a new approach to stability problem. Zbl 0823.58041 Avramidi, I. G. 10 1995 Gauge theories on manifolds with boundary. Zbl 0920.58076 Avramidi, Ivan G.; Esposito, Giampiero 9 1999 Heat kernel on homogeneous bundles over symmetric spaces. Zbl 1180.58013 Avramidi, Ivan G. 9 2009 Heat kernel coefficients for the matrix Schrödinger operator. Zbl 0843.58120 Avramidi, I. G.; Schimming, R. 8 1995 Covariant algebraic method for calculation of the low-energy heat kernel. Zbl 0845.58049 Avramidi, I. G. 8 1995 Heat kernel asymptotics of operators with non-Laplace principal part. Zbl 1031.58015 Avramidi, Ivan G.; Branson, Thomas 8 2001 Green functions of higher-order differential operators. Zbl 1001.58014 Avramidi, Ivan G. 6 1998 New algebraic methods for calculating the heat kernel and the effective action in quantum gravity and gauge theories. Zbl 0866.58071 Avramidi, Ivan G. 6 1995 Erratum to: “Covariant algebraic method for calculation of the low-energy heat kernel”. Zbl 1056.58501 Avramidi, I. G. 6 1998 Mathematical tools for calculation of the effective action in quantum gravity. Zbl 1239.81004 Avramidi, I. G. 6 2010 Heat kernel on homogeneous bundles. Zbl 1223.58019 Avramidi, Ivan G. 6 2008 Lack of strong ellipticity in Euclidean quantum gravity. Zbl 0937.83020 Avramidi, Ivan G.; Esposito, Giampiero 5 1998 Quantum heat traces. Zbl 1354.58021 Avramidi, Ivan G. 5 2017 Dirac operator in matrix geometry. Zbl 1074.81027 Avramidi, Ivan G. 5 2005 Matrix general relativity: a new look at old problems. Zbl 1061.83526 Avramidi, Ivan G. 5 2004 A noncommutative deformation of general relativity. Zbl 1037.83013 Avramidi, Ivan G. 5 2003 A discrete leading symbol and spectral asymptotics for natural differential operators. Zbl 1024.58016 Avramidi, Ivan; Branson, Thomas 4 2002 Heat kernel asymptotics of the Zaremba boundary value problem. Zbl 1079.58018 Avramidi, Ivan G. 4 2004 Non-Laplace type operators on manifolds with boundary. Zbl 1122.58013 Avramidi, Ivan G. 4 2006 Low-energy effective action in nonperturbative electrodynamics in curved space-time. Zbl 1283.35155 Avramidi, Ivan G.; Fucci, Guglielmo 4 2009 New invariants in the 1-loop divergences on manifolds with boundary. Zbl 0914.58034 Avramidi, Ivan G.; Esposito, Giampiero 3 1998 Non-perturbative heat kernel asymptotics on homogeneous Abelian bundles. Zbl 1225.58013 Avramidi, Ivan G.; Fucci, Guglielmo 3 2009 Heat determinant on manifolds. Zbl 1344.53033 Avramidi, Ivan G.; Buckman, Benjamin J. 3 2016 Non-perturbative effective action in gauge theories and quantum gravity. Zbl 1201.81086 Avramidi, Ivan G. 3 2010 One-loop quantum gravity in the Einstein universe. Zbl 1388.83085 Avramidi, Ivan G.; Collopy, Samuel J. 2 2015 One-loop effective potential in higher-dimensional Yang-Mills theory. Zbl 1052.81566 Avramidi, Ivan G. 2 1999 Boundary operators in Euclidean quantum gravity. Zbl 0855.58071 Avramidi, Ivan G.; Esposito, Giampiero; Kamenshchik, Alexander Yu. 2 1996 Thermal Yang-Mills theory in the Einstein universe. Zbl 1252.81098 Avramidi, Ivan G.; Collopy, Samuel 2 2012 Heat kernel asymptotics on symmetric spaces. Zbl 1163.58007 Avramidi, Ivan G. 2 2006 Relative spectral invariants of elliptic operators on manifolds. Zbl 1507.58011 Avramidi, Ivan G. 2 2020 Bogolyubov invariant via relative spectral invariants on manifolds. Zbl 1439.81079 Avramidi, Ivan G. 2 2020 Noncommutative Einstein equations. Zbl 1197.83077 Fucci, Guglielmo; Avramidi, Ivan G. 2 2008 Erratum to: One-loop quantum gravity in the Einstein universe. Zbl 1377.83024 Avramidi, Ivan G.; Collopy, Samuel J. 1 2017 Nonperturbative methods for calculating the heat kernel. Zbl 0915.58098 Avramidi, I. G. 1 1998 Heat-kernel asymptotics of the Gilkey-Smith boundary-value problem. Zbl 1112.58306 Avramidi, I. G.; Esposito, G. 1 1999 Effective action and phase transitions in Yang-Mills theory on spheres. Zbl 1244.81040 Avramidi, Ivan G.; Collopy, Samuel 1 2012 Non-commutative corrections in spectral matrix gravity. Zbl 1160.83343 Fucci, Guglielmo; Avramidi, Ivan G. 1 2009 Relative spectral invariants of elliptic operators on manifolds. Zbl 1507.58011 Avramidi, Ivan G. 2 2020 Bogolyubov invariant via relative spectral invariants on manifolds. Zbl 1439.81079 Avramidi, Ivan G. 2 2020 Quantum heat traces. Zbl 1354.58021 Avramidi, Ivan G. 5 2017 Erratum to: One-loop quantum gravity in the Einstein universe. Zbl 1377.83024 Avramidi, Ivan G.; Collopy, Samuel J. 1 2017 Heat determinant on manifolds. Zbl 1344.53033 Avramidi, Ivan G.; Buckman, Benjamin J. 3 2016 Heat kernel method and its applications. Zbl 1342.35001 Avramidi, Ivan G. 16 2015 One-loop quantum gravity in the Einstein universe. Zbl 1388.83085 Avramidi, Ivan G.; Collopy, Samuel J. 2 2015 Thermal Yang-Mills theory in the Einstein universe. Zbl 1252.81098 Avramidi, Ivan G.; Collopy, Samuel 2 2012 Effective action and phase transitions in Yang-Mills theory on spheres. Zbl 1244.81040 Avramidi, Ivan G.; Collopy, Samuel 1 2012 Mathematical tools for calculation of the effective action in quantum gravity. Zbl 1239.81004 Avramidi, I. G. 6 2010 Non-perturbative effective action in gauge theories and quantum gravity. Zbl 1201.81086 Avramidi, Ivan G. 3 2010 Heat kernel on homogeneous bundles over symmetric spaces. Zbl 1180.58013 Avramidi, Ivan G. 9 2009 Low-energy effective action in nonperturbative electrodynamics in curved space-time. Zbl 1283.35155 Avramidi, Ivan G.; Fucci, Guglielmo 4 2009 Non-perturbative heat kernel asymptotics on homogeneous Abelian bundles. Zbl 1225.58013 Avramidi, Ivan G.; Fucci, Guglielmo 3 2009 Non-commutative corrections in spectral matrix gravity. Zbl 1160.83343 Fucci, Guglielmo; Avramidi, Ivan G. 1 2009 Heat kernel on homogeneous bundles. Zbl 1223.58019 Avramidi, Ivan G. 6 2008 Noncommutative Einstein equations. Zbl 1197.83077 Fucci, Guglielmo; Avramidi, Ivan G. 2 2008 Non-Laplace type operators on manifolds with boundary. Zbl 1122.58013 Avramidi, Ivan G. 4 2006 Heat kernel asymptotics on symmetric spaces. Zbl 1163.58007 Avramidi, Ivan G. 2 2006 Dirac operator in matrix geometry. Zbl 1074.81027 Avramidi, Ivan G. 5 2005 Matrix general relativity: a new look at old problems. Zbl 1061.83526 Avramidi, Ivan G. 5 2004 Heat kernel asymptotics of the Zaremba boundary value problem. Zbl 1079.58018 Avramidi, Ivan G. 4 2004 A noncommutative deformation of general relativity. Zbl 1037.83013 Avramidi, Ivan G. 5 2003 A discrete leading symbol and spectral asymptotics for natural differential operators. Zbl 1024.58016 Avramidi, Ivan; Branson, Thomas 4 2002 Heat kernel asymptotics of operators with non-Laplace principal part. Zbl 1031.58015 Avramidi, Ivan G.; Branson, Thomas 8 2001 Heat kernel and quantum gravity. Zbl 0956.83002 Avramidi, Ivan G. 55 2000 A new explicit expression for the Korteweg-de Vries hierarchy. Zbl 0984.37084 Avramidi, Ivan; Schimming, Rainer 12 2000 Covariant techniques for computation of the heat kernel. Zbl 0973.58013 Avramidi, I. G. 20 1999 Gauge theories on manifolds with boundary. Zbl 0920.58076 Avramidi, Ivan G.; Esposito, Giampiero 9 1999 One-loop effective potential in higher-dimensional Yang-Mills theory. Zbl 1052.81566 Avramidi, Ivan G. 2 1999 Heat-kernel asymptotics of the Gilkey-Smith boundary-value problem. Zbl 1112.58306 Avramidi, I. G.; Esposito, G. 1 1999 Green functions of higher-order differential operators. Zbl 1001.58014 Avramidi, Ivan G. 6 1998 Erratum to: “Covariant algebraic method for calculation of the low-energy heat kernel”. Zbl 1056.58501 Avramidi, I. G. 6 1998 Lack of strong ellipticity in Euclidean quantum gravity. Zbl 0937.83020 Avramidi, Ivan G.; Esposito, Giampiero 5 1998 New invariants in the 1-loop divergences on manifolds with boundary. Zbl 0914.58034 Avramidi, Ivan G.; Esposito, Giampiero 3 1998 Nonperturbative methods for calculating the heat kernel. Zbl 0915.58098 Avramidi, I. G. 1 1998 A new algebraic approach for calculating the heat kernel in quantum gravity. Zbl 0862.58054 Avramidi, I. G. 16 1996 Boundary operators in Euclidean quantum gravity. Zbl 0855.58071 Avramidi, Ivan G.; Esposito, Giampiero; Kamenshchik, Alexander Yu. 2 1996 Covariant algebraic calculation of the one-loop effective potential in non-Abelian gauge theory and a new approach to stability problem. Zbl 0823.58041 Avramidi, I. G. 10 1995 Heat kernel coefficients for the matrix Schrödinger operator. Zbl 0843.58120 Avramidi, I. G.; Schimming, R. 8 1995 Covariant algebraic method for calculation of the low-energy heat kernel. Zbl 0845.58049 Avramidi, I. G. 8 1995 New algebraic methods for calculating the heat kernel and the effective action in quantum gravity and gauge theories. Zbl 0866.58071 Avramidi, Ivan G. 6 1995 all cited Publications top 5 cited Publications all top 5 Cited by 195 Authors 20 Avramidi, Ivan G. 8 Fucci, Guglielmo 5 Karan, Sudip 5 Niedermaier, Max R. 4 Einhorn, Martin B. 4 Esposito, Giampiero 4 Iochum, Bruno 4 Jones, D. R. Timothy 4 Panda, Binata 4 Shapiro, Ilya Lvovich 3 Awonusika, Richard Olu 3 Branson, Thomas Patrick 3 El-Nabulsi, Rami Ahmad 3 Flachi, Antonino 3 Gilkey, Peter B. 3 Iliev, Plamen 3 Masson, Thierry 3 Polterovich, Iosif 3 Vassilevich, Dmitri V. 3 Xie, Mi 3 Zanusso, Omar 2 Ahmad, Bashir 2 Alavi, Seyyed Ali 2 Andrea, Stephen A. 2 Banerjee, Gourav 2 Bilal, Adel 2 Codello, Alessandro 2 Collopy, Samuel J. 2 Farhoudi, Mehrdad 2 Gusev, Yuri V. 2 Ivanov, Aleksandr Valentinovich 2 Kirsten, Klaus 2 Kuzenko, Sergei M. 2 Liu, Genqian 2 Pankrashkin, Konstantin 2 Restuccia, Álvaro 2 Salcedo, Lorenzo Luis 2 Saueressig, Frank 2 Steinwachs, Christian Friedrich 2 Vitagliano, Vincenzo 2 Zubkov, Mikhail A. 1 Acevedo, Salvador 1 Adler, Vsevolod Eduardovich 1 Alonso, Rodrigo 1 Andrianopoli, Laura 1 Aros, Rodrigo 1 Barvinsky, Andrei O. 1 Bastianelli, Fiorenzo 1 Ben Arous, Gérard 1 Benedetti, Dario 1 Blas, Diego 1 Braun, Mathias 1 Brüning, Jochen 1 Buckman, Benjamin J. 1 Bugini, F. 1 Cai, Ronggen 1 Calcagni, Gianluca 1 Cerchiai, Bianca Letizia 1 Chalub, Fabio A. C. C. 1 Comberiati, Francesco 1 Corradini, Olindo 1 Cuzinatto, Rodrigo Rocha 1 Dai, Wusheng 1 Daoudia, A. K. 1 Dasgupta, Arundhati 1 D’Auria, Riccardo 1 De Anda, Francisco J. 1 de Berredo-Peixoto, Guilherme 1 de Melo, C. A. M. 1 de Paula Netto, Tibério 1 de Vaulchier, Balthazar 1 Delhom, Adria 1 Dereziński, Jan 1 Desjardins, Steven J. 1 DeWitt, Bryce Seligman 1 Díaz, D. E. 1 D’Odorico, Giulio 1 Dowker, J. Stuart 1 Fan, Wentao 1 Fathizadeh, Farzad 1 Fecit, Filippo 1 Ferrari, Frank 1 Franchino-Viñas, Sebastián A. 1 Gaeta, Giuseppe 1 Gayral, Victor 1 Geyler, Vladimir A. 1 Goossens, Jan-Willem 1 Gorbar, Eduard V. 1 Gover, Ashwin Rod 1 Grasso, Darren T. 1 Grumiller, Daniel 1 Grünrock, Axel 1 Grunspan, Cyril 1 Guendelman, Eduardo I. 1 Hartman, Thomas E. 1 Heisenberg, Lavinia 1 Herrero-Valea, Mario 1 Hochberg, David 1 Hollowood, Timothy J. 1 Jakobson, Dmitry ...and 95 more Authors all top 5 Cited in 55 Serials 32 Journal of High Energy Physics 16 Journal of Mathematical Physics 9 International Journal of Geometric Methods in Modern Physics 7 Nuclear Physics. B 7 Journal of Geometry and Physics 5 Modern Physics Letters A 5 International Journal of Modern Physics A 5 General Relativity and Gravitation 5 Physics Letters. B 5 Journal of Physics A: Mathematical and Theoretical 4 Communications in Mathematical Physics 4 Theoretical and Mathematical Physics 3 Physics Reports 3 Reviews in Mathematical Physics 3 Journal of Cosmology and Astroparticle Physics 3 The European Physical Journal C. Particles and Fields 2 Computers & Mathematics with Applications 2 International Journal of Theoretical Physics 2 Journal of Functional Analysis 2 Differential Geometry and its Applications 2 Potential Analysis 1 Classical and Quantum Gravity 1 Israel Journal of Mathematics 1 Letters in Mathematical Physics 1 Physics Letters. A 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Proceedings of the American Mathematical Society 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series 1 The Journal of Geometric Analysis 1 Annals of Physics 1 Indagationes Mathematicae. New Series 1 Nuclear Physics. B. Proceedings Supplements 1 The Journal of Analysis 1 International Journal of Modern Physics D 1 Calculus of Variations and Partial Differential Equations 1 Russian Journal of Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 Advances in Applied Clifford Algebras 1 Bulletin des Sciences Mathématiques 1 International Journal of Theoretical and Applied Finance 1 Living Reviews in Relativity 1 Lobachevskii Journal of Mathematics 1 Annales Henri Poincaré 1 Physical Review Letters 1 Algebraic & Geometric Topology 1 Central European Journal of Mathematics 1 Journal of Statistical Mechanics: Theory and Experiment 1 Complex Variables and Elliptic Equations 1 São Paulo Journal of Mathematical Sciences all top 5 Cited in 30 Fields 81 Quantum theory (81-XX) 62 Relativity and gravitational theory (83-XX) 47 Global analysis, analysis on manifolds (58-XX) 41 Partial differential equations (35-XX) 19 Differential geometry (53-XX) 11 Dynamical systems and ergodic theory (37-XX) 6 Ordinary differential equations (34-XX) 5 Operator theory (47-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Number theory (11-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Real functions (26-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Special functions (33-XX) 3 Approximations and expansions (41-XX) 3 Functional analysis (46-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of particles and systems (70-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Algebraic geometry (14-XX) 2 Manifolds and cell complexes (57-XX) 2 Probability theory and stochastic processes (60-XX) 2 Astronomy and astrophysics (85-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.