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Author ID: avramidi.ivan-g Recent zbMATH articles by "Avramidi, Ivan G."
Published as: Avramidi, Ivan G.; Avramidi, I. G.; Avramidi, Ivan
External Links: Wikidata · GND · IdRef
Documents Indexed: 47 Publications since 1995, including 2 Books
Reviewing Activity: 1 Review
Co-Authors: 7 Co-Authors with 21 Joint Publications
147 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 233 times in 134 Documents Cited by Year
Heat kernel and quantum gravity. Zbl 0956.83002
Avramidi, Ivan G.
40
2000
Covariant techniques for computation of the heat kernel. Zbl 0973.58013
Avramidi, I. G.
18
1999
A new algebraic approach for calculating the heat kernel in quantum gravity. Zbl 0862.58054
Avramidi, I. G.
15
1996
Heat kernel method and its applications. Zbl 1342.35001
Avramidi, Ivan G.
11
2015
A new explicit expression for the Korteweg-de Vries hierarchy. Zbl 0984.37084
Avramidi, Ivan; Schimming, Rainer
9
2000
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
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.
9
1995
Heat kernel asymptotics of operators with non-Laplace principal part. Zbl 1031.58015
Avramidi, Ivan G.; Branson, Thomas
8
2001
Heat kernel coefficients for the matrix Schrödinger operator. Zbl 0843.58120
Avramidi, I. G.; Schimming, R.
7
1995
Covariant algebraic method for calculation of the low-energy heat kernel. Zbl 0845.58049
Avramidi, I. G.
7
1995
Green functions of higher-order differential operators. Zbl 1001.58014
Avramidi, Ivan G.
6
1998
Mathematical tools for calculation of the effective action in quantum gravity. Zbl 1239.81004
Avramidi, I. G.
6
2010
Matrix general relativity: a new look at old problems. Zbl 1061.83526
Avramidi, Ivan G.
5
2004
Heat kernel on homogeneous bundles. Zbl 1223.58019
Avramidi, Ivan G.
5
2008
New algebraic methods for calculating the heat kernel and the effective action in quantum gravity and gauge theories. Zbl 0866.58071
Avramidi, Ivan G.
4
1995
Lack of strong ellipticity in Euclidean quantum gravity. Zbl 0937.83020
Avramidi, Ivan G.; Esposito, Giampiero
4
1998
A discrete leading symbol and spectral asymptotics for natural differential operators. Zbl 1024.58016
Avramidi, Ivan; Branson, Thomas
4
2002
Quantum heat traces. Zbl 1354.58021
Avramidi, Ivan G.
4
2017
A noncommutative deformation of general relativity. Zbl 1037.83013
Avramidi, Ivan G.
4
2003
Heat kernel asymptotics of the Zaremba boundary value problem. Zbl 1079.58018
Avramidi, Ivan G.
4
2004
Erratum to: “Covariant algebraic method for calculation of the low-energy heat kernel”. Zbl 1056.58501
Avramidi, I. G.
4
1998
Non-Laplace type operators on manifolds with boundary. Zbl 1122.58013
Avramidi, Ivan G.
4
2006
Dirac operator in matrix geometry. Zbl 1074.81027
Avramidi, Ivan G.
4
2005
New invariants in the 1-loop divergences on manifolds with boundary. Zbl 0914.58034
Avramidi, Ivan G.; Esposito, Giampiero
3
1998
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
Low-energy effective action in nonperturbative electrodynamics in curved space-time. Zbl 1283.35155
Avramidi, Ivan G.; Fucci, Guglielmo
3
2009
Non-perturbative heat kernel asymptotics on homogeneous Abelian bundles. Zbl 1225.58013
Avramidi, Ivan G.; Fucci, Guglielmo
2
2009
One-loop quantum gravity in the Einstein universe. Zbl 1388.83085
Avramidi, Ivan G.; Collopy, Samuel J.
2
2015
Heat kernel asymptotics on symmetric spaces. Zbl 1163.58007
Avramidi, Ivan G.
2
2006
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
Noncommutative Einstein equations. Zbl 1197.83077
Fucci, Guglielmo; Avramidi, Ivan G.
2
2008
Thermal Yang-Mills theory in the Einstein universe. Zbl 1252.81098
Avramidi, Ivan G.; Collopy, Samuel
2
2012
Erratum to: One-loop quantum gravity in the Einstein universe. Zbl 1377.83024
Avramidi, Ivan G.; Collopy, Samuel J.
1
2017
Non-commutative corrections in spectral matrix gravity. Zbl 1160.83343
Fucci, Guglielmo; Avramidi, Ivan G.
1
2009
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
Relative spectral invariants of elliptic operators on manifolds. Zbl 07190554
Avramidi, Ivan G.
1
2020
Bogolyubov invariant via relative spectral invariants on manifolds. Zbl 1439.81079
Avramidi, Ivan G.
1
2020
Relative spectral invariants of elliptic operators on manifolds. Zbl 07190554
Avramidi, Ivan G.
1
2020
Bogolyubov invariant via relative spectral invariants on manifolds. Zbl 1439.81079
Avramidi, Ivan G.
1
2020
Quantum heat traces. Zbl 1354.58021
Avramidi, Ivan G.
4
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.
11
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
3
2009
Non-perturbative heat kernel asymptotics on homogeneous Abelian bundles. Zbl 1225.58013
Avramidi, Ivan G.; Fucci, Guglielmo
2
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.
5
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.
4
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.
4
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.
40
2000
A new explicit expression for the Korteweg-de Vries hierarchy. Zbl 0984.37084
Avramidi, Ivan; Schimming, Rainer
9
2000
Covariant techniques for computation of the heat kernel. Zbl 0973.58013
Avramidi, I. G.
18
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
Lack of strong ellipticity in Euclidean quantum gravity. Zbl 0937.83020
Avramidi, Ivan G.; Esposito, Giampiero
4
1998
Erratum to: “Covariant algebraic method for calculation of the low-energy heat kernel”. Zbl 1056.58501
Avramidi, I. G.
4
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.
15
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.
9
1995
Heat kernel coefficients for the matrix Schrödinger operator. Zbl 0843.58120
Avramidi, I. G.; Schimming, R.
7
1995
Covariant algebraic method for calculation of the low-energy heat kernel. Zbl 0845.58049
Avramidi, I. G.
7
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.
4
1995
all top 5

Cited by 162 Authors

20 Avramidi, Ivan G.
8 Fucci, Guglielmo
4 Einhorn, Martin B.
4 Esposito, Giampiero
4 Iochum, Bruno
4 Jones, D. R. Timothy
4 Niedermaier, Max R.
3 Awonusika, Richard Olu
3 Branson, Thomas Patrick
3 Farhoudi, Mehrdad
3 Gilkey, Peter B.
3 Karan, Sudip
3 Masson, Thierry
3 Panda, Binata
3 Shapiro, Ilya Lvovich
3 Vassilevich, Dmitri V.
3 Zanusso, Omar
2 Ahmad, Bashir
2 Alavi, S. A.
2 Andrea, Stephen A.
2 Codello, Alessandro
2 Collopy, Samuel J.
2 El-Nabulsi, Rami Ahmad
2 Gusev, Yuri V.
2 Iliev, Plamen
2 Ivanov, Aleksandr Valentinovich
2 Kirsten, Klaus
2 Liu, Genqian
2 Pankrashkin, Konstantin
2 Polterovich, Iosif
2 Restuccia, Álvaro
2 Salcedo, Lorenzo Luis
2 Saueressig, Frank
2 Xie, Mi
1 Acevedo, Salvador
1 Adler, Vsevolod Eduardovich
1 Alonso, Rodrigo
1 Andrianopoli, Laura
1 Aros, Rodrigo
1 Banerjee, Gourav
1 Barvinsky, Andrei O.
1 Ben Arous, Gérard
1 Benedetti, Dario
1 Bilal, Adel
1 Blas, Diego
1 Brüning, Jochen
1 Buckman, Benjamin J.
1 Bugini, F.
1 Cai, Ronggen
1 Cerchiai, Bianca Letizia
1 Chalub, Fabio A. C. C.
1 Cuzinatto, Rodrigo Rocha
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 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 Ferrari, Frank
1 Flachi, Antonino
1 Franchino-Viñas, Sebastián A.
1 Gaeta, Giuseppe
1 Gayral, Victor
1 Geyler, Vladimir A.
1 Goossens, Jan-Willem
1 Gover, Ashwin Rod
1 Grumiller, Daniel
1 Grünrock, Axel
1 Grunspan, Cyril
1 Guendelman, Eduardo I.
1 Hartman, Thomas E.
1 Herrero-Valea, Mario
1 Hochberg, David
1 Hollowood, Timothy J.
1 Jakobson, Dmitry
1 Jørgensen, Jakob Sauer
1 Juhl, Andreas
1 Kamenshchik, Aleksandr Yur’evich
1 Kehagias, Alexandros A.
1 Kharuk, N. V.
1 Kim, Sang Pyo
1 Kober, Martin
1 Kozlov, Vladimir A.
1 Kruthoff, Jorrit
1 Kumar, Shashank
1 Kummer, Wolfgang
1 Kuzenko, Sergei M.
1 Latosiński, Adam
1 Laurence, Peter
1 Levitin, Michael R.
1 Lopes de Lima, Levi
...and 62 more Authors
all top 5

Cited in 49 Serials

22 Journal of High Energy Physics
15 Journal of Mathematical Physics
8 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
4 Communications in Mathematical Physics
4 Physics Letters. B
4 Theoretical and Mathematical Physics
3 Physics Reports
3 Reviews in Mathematical Physics
3 The European Physical Journal C. Particles and Fields
2 Computers & Mathematics with Applications
2 Differential Geometry and its Applications
2 Potential Analysis
1 Classical and Quantum Gravity
1 International Journal of Theoretical Physics
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 Journal of Functional Analysis
1 Proceedings of the American Mathematical Society
1 Physica D
1 Acta Mathematicae Applicatae Sinica. English Series
1 The Journal of Geometric Analysis
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 International Journal of Theoretical and Applied Finance
1 Living Reviews in Relativity
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 Journal of Physics A: Mathematical and Theoretical
1 São Paulo Journal of Mathematical Sciences

Citations by Year

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