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Shapiro, Ilya Lvovich

Co-Author Distance
Author ID:
shapiro.ilya-l Recent zbMATH articles by "Shapiro, Ilya Lvovich"
Published as:
Shapiro, Ilya L.;Shapiro, I. L.;Shapiro, Ilya;Shapiro, I.
External Links:
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alltop 5

Co-Authors

18single-authored
10 de Berredo-Peixoto, Guilherme
6 Buchbinder, Ioseph L.
6 Fabris, Júlio César
6 Odintsov, Sergei D.
6 Pelinson, Ana M.
5 Asorey, Manuel
5 Modesto, Leonardo
5 Solà, Joan
4 de Paula Netto, Tibério
4 Giacchini, Breno Loureiro
4 Rachwał, Lesław
4 Schwarz, Albert S.
3 Gorbar, Eduard V.
3 Ribeiro, Tiago G.
2 Cognola, Guido
2 Ferreira, Fabricio M.
2 Gonçalves, Bruno Batista
2 Hassanzadeh, Mohammad
2 Khalkhali, Masoud
2 Kobyzev, Ivan
2 Krein, Gastão
2 Lavrov, Petr M.
2 Penna-Firme, André
2 Sibiryakov, A. G.
2 Silva, Wagno Cesar e
2 Sobreira, Flávia
2 Starobinskiĭ, Alekseĭ Aleksandrovich
2 Tang, Xiang
2 Teixeira, Poliane M.
2 Velasquez-Toribio, Alan M.
2 Zanusso, Omar
1 Accioly, Antonio
1 Agudelo Ruiz, Jhonny A.
1 Balbinot, Roberto
1 Bambi, Cosimo
1 Carneiro, Diego F.
1 Castellanos, Ana R. Romero
1 de Barros, Jose Acacio
1 de Lima, Andre G.
1 de O. Salles, Filipe
1 De Oliveira, Paulo L. C.
1 dos Reis, Eduardo Antonio
1 Elizalde, Emilio
1 España-Bonet, Cristina
1 Fabbri, Alessandro
1 Franchino-Viñas, Sebastián A.
1 Freiras, Emanuel A.
1 Geyer, Bodo
1 Gitman, Dmitri M.
1 Gitterman, Moshe
1 Grande, Javier
1 Helayël-Neto, José Abdala
1 Helayël, José A.
1 Jacksenaev, A. G.
1 López, José Luis
1 Martins, Jéssica S.
1 Mauro, Sebastião
1 Pardina, Miguel
1 Pereira, Dante D.
1 Piattella, Oliver F.
1 Pinto-Neto, Nelson
1 Pinzul, Aleksandr
1 Prasad, Amritanshu
1 Rodrigues, Davi C.
1 Ruiz-Lapuente, Pilar
1 Sütlü, Serkan
1 Takakura, Flavio I.
1 Teixeira, Poliane de Morais
1 Toms, David J.
1 Tseng, Hsian-Hua
1 Vemuri, Murali Krishna
alltop 5

Serials

14 Physics Letters. B
12 Classical and Quantum Gravity
8 Journal of High Energy Physics
6 Modern Physics Letters A
6 International Journal of Modern Physics A
6 Nuclear Physics. B
5 Gravitation & Cosmology
3 Advances in Mathematics
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Journal of Physics A: Mathematical and Theoretical
2 Undergraduate Lecture Notes in Physics
2 Oxford Graduate Texts
1 Communications in Mathematical Physics
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Physics Reports
1 Theoretical and Mathematical Physics
1 Journal of Geometry and Physics
1 Canadian Mathematical Bulletin
1 Journal of Algebra
1 Journal of Number Theory
1 IMRN. International Mathematics Research Notices
1 Applied Categorical Structures
1 International Journal of Modern Physics D
1 Mathematical Research Letters
1 Russian Physics Journal
1 Journal of Cosmology and Astroparticle Physics
1 Pure and Applied Mathematics Quarterly
1 Journal of Noncommutative Geometry
alltop 5

Fields

56 Relativity and gravitational theory (83-XX)
49 Quantum theory (81-XX)
10 Category theory; homological algebra (18-XX)
10 Differential geometry (53-XX)
9 Associative rings and algebras (16-XX)
9 \(K\)-theory (19-XX)
6 Algebraic geometry (14-XX)
4 Astronomy and astrophysics (85-XX)
2 Nonassociative rings and algebras (17-XX)
2 Global analysis, analysis on manifolds (58-XX)
1 General and overarching topics; collections (00-XX)
1 Number theory (11-XX)
1 Commutative algebra (13-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Topological groups, Lie groups (22-XX)
1 Special functions (33-XX)
1 Partial differential equations (35-XX)
1 Abstract harmonic analysis (43-XX)
1 Functional analysis (46-XX)
1 Operator theory (47-XX)
1 Manifolds and cell complexes (57-XX)
1 Probability theory and stochastic processes (60-XX)
1 Mechanics of particles and systems (70-XX)
1 Statistical mechanics, structure of matter (82-XX)

Publications by Year

Citations contained in zbMATH Open

80 Publications have been cited 778 times in558 DocumentsCited by ▼Year ▼
Physical aspects of the space-time torsion. Zbl 0977.83072
Shapiro, I. L.
2002
Superrenormalizable quantum gravity with complex ghosts. Zbl 1367.81152
Modesto, Leonardo;Shapiro, Ilya L.
2016
Some remarks on high derivative quantum gravity. Zbl 0902.53066
Asorey, M.;López, J. L.;Shapiro, I. L.
1997
Curvature phase transition in \(\mathbb{R}^ 2\) quantum gravity and induction of Einstein gravity. Zbl 0795.53078
Odintsov, S. D.;Shapiro, I. L.
1992
Effective action of vacuum: The semiclassical approach. Zbl 1140.83301
Shapiro, Ilya L.
2008
Variable cosmological constant as a Planck scale effect. Zbl 1058.83548
Shapiro, Ilya L.;Solà, Joan;España-Bonet, Cristina;Ruiz-Lapuente, Pilar
2003
Counting ghosts in the “ghost-free” non-local gravity. Zbl 1330.81219
Shapiro, Ilya L.
2015
Stochastic resonance in a harmonic oscillator with random mass subject to asymmetric dichotomous noise. Zbl 1225.82047
Gitterman, M.;Shapiro, I.
2011
Cyclic homology for Hom-associative algebras. Zbl 1334.46055
Hassanzadeh, Mohammad;Shapiro, Ilya;Sütlü, Serkan
2015
On higher derivative corrections to the \(R + R^2\) inflationary model. Zbl 1536.83093
Castellanos, Ana R. Romero;Sobreira, Flavia;Shapiro, Ilya L.;Starobinsky, Alexei A.
2018
On Newtonian singularities in higher derivative gravity models. Zbl 1388.83129
Modesto, Leonardo;de Paula Netto, Tibério;Shapiro, Ilya L.
2015
Vacuum polarization in Schwarzschild space-time by anomaly induced effective actions. Zbl 0957.81012
Balbinot, R.;Fabbri, A.;Shapiro, I.
1999
Universality and ambiguities of the conformal anomaly. Zbl 1061.83048
Asorey, M.;Gorbar, E. V.;Shapiro, I. L.
2004
Massive fields temper anomaly-induced inflation: the clue to graceful exit? Zbl 0992.83102
Shapiro, Ilya L.;Solà, Joan
2002
On the stability of the anomaly-induced inflation. Zbl 1005.83048
Pelinson, A. M.;Shapiro, I. L.;Takakura, F. I.
2003
On the functional renormalization group approach for Yang-Mills fields. Zbl 1342.81345
Lavrov, Peter M.;Shapiro, Ilya L.
2013
Simple cosmological model with relativistic gas. Zbl 1075.83575
de Berredo-Peixoto, Guilherme;Shapiro, Ilya L.;Sobreira, Flávia
2005
A four-dimensional theory for quantum gravity with conformal and non-conformal explicit solutions. Zbl 0823.53056
Elizalde, E.;Jacksenaev, A. G.;Odintsov, S. D.;Shapiro, I. L.
1995
Conformal symmetry, anomaly and effective action for metric-scalar gravity with torsion. Zbl 0960.83030
Helayel-Neto, J. A.;Penna-Firme, A.;Shapiro, I. L.
2000
Form factors and decoupling of matter fields in four-dimensional gravity. Zbl 1411.83083
Franchino-Viñas, Sebastián A.;de Paula Netto, Tibério;Shapiro, Ilya L.;Zanusso, Omar
2019
Quantum Einstein-Cartan theory with the Holst term. Zbl 1300.81059
Shapiro, Ilya L.;Teixeira, Poliane M.
2014
Anomaly-induced effective action for gravity and inflation. Zbl 0965.83039
Fabris, J. C.;Pelinson, A. M.;Shapiro, I. L.
2000
On the gravitational waves on the background of anomaly-induced inflation. Zbl 0972.83089
Fabris, J. C.;Pelinson, A. M.;Shapiro, I. L.
2001
Monoidal categories, 2-traces, and cyclic cohomology. Zbl 1443.18009
Hassanzadeh, Mohammad;Khalkhali, Masoud;Shapiro, Ilya
2019
A categorical approach to cyclic cohomology of quasi-Hopf algebras and Hopf algebroids. Zbl 1436.18015
Kobyzev, Ivan;Shapiro, Ilya
2019
Gravitational “Seesaw” and light bending in higher-derivative gravity. Zbl 1390.83136
Accioly, Antonio;Giacchini, Breno L.;Shapiro, Ilya L.
2017
Introduction to quantum field theory with applications to quantum gravity. Reprint of the 2021 hardback edition. Zbl 1504.81001
Buchbinder, Iosif L.;Shapiro, Ilya
2023
Quantum effects in softly broken gauge theories in curved space-times. Zbl 1248.81113
Buchbinder, I. L.;De Berredo-Peixoto, G.;Shapiro, I. L.
2007
Introduction to quantum field theory with applications to quantum gravity. Zbl 1461.81001
Buchbinder, Iosif L.;Shapiro, Ilya
2021
Cosmic perturbations with running \(G\) and \(\Lambda \). Zbl 1190.83119
Grande, Javier;Solà, Joan;Fabris, Julio C.;Shapiro, Ilya L.
2010
Perturbative approach to induced quantum gravity. Zbl 0718.53069
Odintsov, S. D.;Shapiro, I. L.
1991
On useful conformal transformations in general relativity. Zbl 1070.83030
Carneiro, Diego F.;Freiras, Emanuel A.;Gonçalves, Bruno;de Lima, Andre G.;Shapiro, Ilya L.
2004
Gravitational waves and perspectives for quantum gravity. Zbl 1301.83008
Shapiro, Ilya L.;Pelinson, Ana M.;de O. Salles, Filipe
2014
Integration of trace anomaly in \(6D\). Zbl 1379.83019
Ferreira, Fabricio M.;Shapiro, Ilya L.
2017
On the Vilkovisky-DeWitt approach and renormalization group in effective quantum gravity. Zbl 1456.83025
Giacchini, Breno L.;de Paula Netto, Tibério;Shapiro, Ilya L.
2020
On the anti-Yetter-Drinfeld module-contramodule correspondence. Zbl 1427.19003
Shapiro, Ilya
2019
Frobenius map for quintic threefolds. Zbl 1222.14089
Shapiro, I.
2009
Anti-Yetter-Drinfeld modules for quasi-Hopf algebras. Zbl 1468.18016
Kobyzev, Ivan;Shapiro, Ilya
2018
Twisted de Rham cohomology, homological definition of the integral and “physics over a ring”. Zbl 1192.81311
Schwarz, Albert S.;Shapiro, Ilya
2009
Light bending in \(F [g(\square) R]\) extended gravity theories. Zbl 1390.83277
Giacchini, Breno L.;Shapiro, Ilya L.
2018
Back-reaction of the vacuum and the renormalization group flow from the conformal fixed point. Zbl 1061.81537
Cognola, G.;Shapiro, I. L.
1998
On the consistency of a fermion-torsion effective theory. Zbl 0961.81053
de Berredo-Peixoto, Guilherme;Helayël, José A.;Shapiro, Ilya L.
2000
Invariance properties of cyclic cohomology with coefficients. Zbl 1430.18018
Shapiro, Ilya
2020
Perturbative finiteness of 2D induced quantum gravity. Zbl 1021.81871
Odintsov, S. D.;Shapiro, I. L.
1992
Path integral and pseudoclassical action for spinning particle in external electromagnetic and torsion fields. Zbl 1010.83046
Geyer, Bodo;Gitman, Dmitry;Shapiro, Ilya L.
2000
Cosmological constant problems and the renormalization group. Zbl 1117.83015
Shapiro, Ilya L.;Solà, Joan
2007
On the renormalisation group equations in curved spacetime with torsion. Zbl 0703.53080
Buchbinder, I. L.;Shapiro, I. L.
1990
Handbook of quantum gravity. Zbl 07952011
2024
On the renormalization group for the interacting massive scalar field theory in curved space. Zbl 1052.81078
de Berredo-Peixoto, Guilherme;Gorbar, Eduard V.;Shapiro, Ilya L.
2004
On Weyl invariance conditions in string theory coupled with two-dimensional gravity. Zbl 0990.81668
Buchbinder, I. L.;Shapiro, I. L.;Sibiryakov, A. G.
1995
On the conformal transformation and duality in gravity. Zbl 0869.58061
Shapiro, Ilya L.
1997
\(p\) -adic superspaces and Frobenius. Zbl 1202.14017
Schwarz, Albert;Shapiro, Ilya
2008
Scalar model of effective field theory in curved space. Zbl 1427.83029
Ribeiro, Tiago G.;Shapiro, Ilya L.
2019
Supergeometry and arithmetic geometry. Zbl 1215.14016
Schwarz, Albert S.;Shapiro, Ilya
2006
Locally compact abelian groups with symplectic self-duality. Zbl 1245.22008
Prasad, Amritanshu;Shapiro, Ilya;Vemuri, M. K.
2010
Anomaly-induced effective action and Chern-Simons modification of general relativity. Zbl 1343.83038
Mauro, Sebastião;Shapiro, Ilya L.
2015
The higher derivative fermionic operator and trace anomaly. Zbl 0971.81025
de Berredo-Peixoto, G.;Shapiro, I. L.
2001
Effective approach to the Antoniadis-Mottola model: quantum decoupling of the higher derivative terms. Zbl 1548.83048
Silva, Wagno Cesar e;Shapiro, Ilya L.
2023
Gravitational form factors and decoupling in 2\(D\). Zbl 1404.81309
Ribeiro, Tiago G.;Shapiro, Ilya L.;Zanusso, Omar
2018
On the relative dual of an \(S^1\)-gerbe over an orbifold. Zbl 1318.53016
Shapiro, Ilya;Tang, Xiang;Tseng, Hsian-Hua
2015
Quantum corrections to gravity and their implications for cosmology and astrophysics. Zbl 1247.83260
Fabris, Julio C.;De Oliveira, Paulo L. C.;Rodrigues, Davi C.;Velasquez-Toribio, Alan M.;Shapiro, Ilya L.
2012
Frobenius map and the \(p\)-adic gamma function. Zbl 1293.11093
Shapiro, Ilya
2012
One-loop effective action: nonlocal form factors and renormalization group. Zbl 1454.83050
Teixeira, Poliane de Morais;Shapiro, Ilya L.;Ribeiro, Tiago G.
2020
Background field method and nonlinear gauges. Zbl 1427.81081
Giacchini, Breno L.;Lavrov, Peter M.;Shapiro, Ilya L.
2019
One-loop divergences of quantum gravity using conformal parametrization. Zbl 1010.83019
de Berredo-Peixoto, Guilherme;Penna-Firme, André;Shapiro, Ilya L.
2000
Some remarks on Gopakumar-Vafa invariants. Zbl 1130.14300
Schwarz, Albert S.;Shapiro, Ilya
2005
Nonlocality of quantum matter corrections and cosmological constant running. Zbl 1522.83429
Gorbar, E. V.;Shapiro, Ilya L.
2022
Interaction of anomaly-induced gravity with quantized matter and temperature effects. Zbl 0941.83023
Cognola, G.;Shapiro, I. L.
1998
Perturbative analysis of two-dimensional quantum gravity: Renormalization, gauge dependence and finiteness. Zbl 0979.81534
Odintsov, S. D.;Shapiro, I. L.
1992
Towards the graceful exit from the anomaly-induced inflation. Zbl 1063.83593
Shapiro, Ilya L.;Solà, Joan
2002
Effective QFT and what it tells us about dynamical torsion. Zbl 1237.83034
Shapiro, Ilya L.
2011
Stochastic quantization of a self-interacting nonminimal scalar field in semiclassical gravity. Zbl 1434.81074
dos Reis, Eduardo Antonio;Krein, Gastão;de Paula Netto, Tibério;Shapiro, Ilya L.
2019
Constraints from observational data for a running cosmological constant and warm dark matter with curvature. Zbl 1479.83048
Agudelo Ruiz, Jhonny A.;Fabris, Júlio C.;Velasquez-Toribio, Alan M.;Shapiro, Ilya L.
2020
Vacuum effective action and inflation. Zbl 0986.83502
Fabris, J. C.;Pelinson, A. M.;Shapiro, I. L.
2000
Mixed vs stable anti-Yetter-Drinfeld contramodules. Zbl 1505.16045
Shapiro, Ilya
2021
On string theory interacting with two-dimensional gravity. Zbl 1021.81795
Buchbinder, I. L.;Shapiro, I. L.;Sibiryakov, A. G.
1994
Hilbert-Einstein action from induced gravity coupled with scalar field. Zbl 1021.81969
Shapiro, I. L.
1994
Lecture notes on Newtonian mechanics. Lessons from modern concepts. Zbl 1284.70001
Shapiro, Ilya L.;de Berredo-Peixoto, Guilherme
2013
Inflation with sterile scalar coupled to massive fermions and to gravity. Zbl 1511.83047
Martins, Jéssica S.;Piattella, Oliver F.;Shapiro, Ilya L.;Starobinsky, Alexei A.
2022
Bound states of massive complex ghosts in superrenormalizable quantum gravity theories. Zbl 08012838
Asorey, M.;Krein, G.;Pardina, M.;Shapiro, I.
2025
Bound states of massive complex ghosts in superrenormalizable quantum gravity theories. Zbl 08012838
Asorey, M.;Krein, G.;Pardina, M.;Shapiro, I.
2025
Handbook of quantum gravity. Zbl 07952011
2024
Introduction to quantum field theory with applications to quantum gravity. Reprint of the 2021 hardback edition. Zbl 1504.81001
Buchbinder, Iosif L.;Shapiro, Ilya
2023
Effective approach to the Antoniadis-Mottola model: quantum decoupling of the higher derivative terms. Zbl 1548.83048
Silva, Wagno Cesar e;Shapiro, Ilya L.
2023
Nonlocality of quantum matter corrections and cosmological constant running. Zbl 1522.83429
Gorbar, E. V.;Shapiro, Ilya L.
2022
Inflation with sterile scalar coupled to massive fermions and to gravity. Zbl 1511.83047
Martins, Jéssica S.;Piattella, Oliver F.;Shapiro, Ilya L.;Starobinsky, Alexei A.
2022
Introduction to quantum field theory with applications to quantum gravity. Zbl 1461.81001
Buchbinder, Iosif L.;Shapiro, Ilya
2021
Mixed vs stable anti-Yetter-Drinfeld contramodules. Zbl 1505.16045
Shapiro, Ilya
2021
On the Vilkovisky-DeWitt approach and renormalization group in effective quantum gravity. Zbl 1456.83025
Giacchini, Breno L.;de Paula Netto, Tibério;Shapiro, Ilya L.
2020
Invariance properties of cyclic cohomology with coefficients. Zbl 1430.18018
Shapiro, Ilya
2020
One-loop effective action: nonlocal form factors and renormalization group. Zbl 1454.83050
Teixeira, Poliane de Morais;Shapiro, Ilya L.;Ribeiro, Tiago G.
2020
Constraints from observational data for a running cosmological constant and warm dark matter with curvature. Zbl 1479.83048
Agudelo Ruiz, Jhonny A.;Fabris, Júlio C.;Velasquez-Toribio, Alan M.;Shapiro, Ilya L.
2020
Form factors and decoupling of matter fields in four-dimensional gravity. Zbl 1411.83083
Franchino-Viñas, Sebastián A.;de Paula Netto, Tibério;Shapiro, Ilya L.;Zanusso, Omar
2019
Monoidal categories, 2-traces, and cyclic cohomology. Zbl 1443.18009
Hassanzadeh, Mohammad;Khalkhali, Masoud;Shapiro, Ilya
2019
A categorical approach to cyclic cohomology of quasi-Hopf algebras and Hopf algebroids. Zbl 1436.18015
Kobyzev, Ivan;Shapiro, Ilya
2019
On the anti-Yetter-Drinfeld module-contramodule correspondence. Zbl 1427.19003
Shapiro, Ilya
2019
Scalar model of effective field theory in curved space. Zbl 1427.83029
Ribeiro, Tiago G.;Shapiro, Ilya L.
2019
Background field method and nonlinear gauges. Zbl 1427.81081
Giacchini, Breno L.;Lavrov, Peter M.;Shapiro, Ilya L.
2019
Stochastic quantization of a self-interacting nonminimal scalar field in semiclassical gravity. Zbl 1434.81074
dos Reis, Eduardo Antonio;Krein, Gastão;de Paula Netto, Tibério;Shapiro, Ilya L.
2019
On higher derivative corrections to the \(R + R^2\) inflationary model. Zbl 1536.83093
Castellanos, Ana R. Romero;Sobreira, Flavia;Shapiro, Ilya L.;Starobinsky, Alexei A.
2018
Anti-Yetter-Drinfeld modules for quasi-Hopf algebras. Zbl 1468.18016
Kobyzev, Ivan;Shapiro, Ilya
2018
Light bending in \(F [g(\square) R]\) extended gravity theories. Zbl 1390.83277
Giacchini, Breno L.;Shapiro, Ilya L.
2018
Gravitational form factors and decoupling in 2\(D\). Zbl 1404.81309
Ribeiro, Tiago G.;Shapiro, Ilya L.;Zanusso, Omar
2018
Gravitational “Seesaw” and light bending in higher-derivative gravity. Zbl 1390.83136
Accioly, Antonio;Giacchini, Breno L.;Shapiro, Ilya L.
2017
Integration of trace anomaly in \(6D\). Zbl 1379.83019
Ferreira, Fabricio M.;Shapiro, Ilya L.
2017
Superrenormalizable quantum gravity with complex ghosts. Zbl 1367.81152
Modesto, Leonardo;Shapiro, Ilya L.
2016
Counting ghosts in the “ghost-free” non-local gravity. Zbl 1330.81219
Shapiro, Ilya L.
2015
Cyclic homology for Hom-associative algebras. Zbl 1334.46055
Hassanzadeh, Mohammad;Shapiro, Ilya;Sütlü, Serkan
2015
On Newtonian singularities in higher derivative gravity models. Zbl 1388.83129
Modesto, Leonardo;de Paula Netto, Tibério;Shapiro, Ilya L.
2015
Anomaly-induced effective action and Chern-Simons modification of general relativity. Zbl 1343.83038
Mauro, Sebastião;Shapiro, Ilya L.
2015
On the relative dual of an \(S^1\)-gerbe over an orbifold. Zbl 1318.53016
Shapiro, Ilya;Tang, Xiang;Tseng, Hsian-Hua
2015
Quantum Einstein-Cartan theory with the Holst term. Zbl 1300.81059
Shapiro, Ilya L.;Teixeira, Poliane M.
2014
Gravitational waves and perspectives for quantum gravity. Zbl 1301.83008
Shapiro, Ilya L.;Pelinson, Ana M.;de O. Salles, Filipe
2014
On the functional renormalization group approach for Yang-Mills fields. Zbl 1342.81345
Lavrov, Peter M.;Shapiro, Ilya L.
2013
Lecture notes on Newtonian mechanics. Lessons from modern concepts. Zbl 1284.70001
Shapiro, Ilya L.;de Berredo-Peixoto, Guilherme
2013
Quantum corrections to gravity and their implications for cosmology and astrophysics. Zbl 1247.83260
Fabris, Julio C.;De Oliveira, Paulo L. C.;Rodrigues, Davi C.;Velasquez-Toribio, Alan M.;Shapiro, Ilya L.
2012
Frobenius map and the \(p\)-adic gamma function. Zbl 1293.11093
Shapiro, Ilya
2012
Stochastic resonance in a harmonic oscillator with random mass subject to asymmetric dichotomous noise. Zbl 1225.82047
Gitterman, M.;Shapiro, I.
2011
Effective QFT and what it tells us about dynamical torsion. Zbl 1237.83034
Shapiro, Ilya L.
2011
Cosmic perturbations with running \(G\) and \(\Lambda \). Zbl 1190.83119
Grande, Javier;Solà, Joan;Fabris, Julio C.;Shapiro, Ilya L.
2010
Locally compact abelian groups with symplectic self-duality. Zbl 1245.22008
Prasad, Amritanshu;Shapiro, Ilya;Vemuri, M. K.
2010
Frobenius map for quintic threefolds. Zbl 1222.14089
Shapiro, I.
2009
Twisted de Rham cohomology, homological definition of the integral and “physics over a ring”. Zbl 1192.81311
Schwarz, Albert S.;Shapiro, Ilya
2009
Effective action of vacuum: The semiclassical approach. Zbl 1140.83301
Shapiro, Ilya L.
2008
\(p\) -adic superspaces and Frobenius. Zbl 1202.14017
Schwarz, Albert;Shapiro, Ilya
2008
Quantum effects in softly broken gauge theories in curved space-times. Zbl 1248.81113
Buchbinder, I. L.;De Berredo-Peixoto, G.;Shapiro, I. L.
2007
Cosmological constant problems and the renormalization group. Zbl 1117.83015
Shapiro, Ilya L.;Solà, Joan
2007
Supergeometry and arithmetic geometry. Zbl 1215.14016
Schwarz, Albert S.;Shapiro, Ilya
2006
Simple cosmological model with relativistic gas. Zbl 1075.83575
de Berredo-Peixoto, Guilherme;Shapiro, Ilya L.;Sobreira, Flávia
2005
Some remarks on Gopakumar-Vafa invariants. Zbl 1130.14300
Schwarz, Albert S.;Shapiro, Ilya
2005
Universality and ambiguities of the conformal anomaly. Zbl 1061.83048
Asorey, M.;Gorbar, E. V.;Shapiro, I. L.
2004
On useful conformal transformations in general relativity. Zbl 1070.83030
Carneiro, Diego F.;Freiras, Emanuel A.;Gonçalves, Bruno;de Lima, Andre G.;Shapiro, Ilya L.
2004
On the renormalization group for the interacting massive scalar field theory in curved space. Zbl 1052.81078
de Berredo-Peixoto, Guilherme;Gorbar, Eduard V.;Shapiro, Ilya L.
2004
Variable cosmological constant as a Planck scale effect. Zbl 1058.83548
Shapiro, Ilya L.;Solà, Joan;España-Bonet, Cristina;Ruiz-Lapuente, Pilar
2003
On the stability of the anomaly-induced inflation. Zbl 1005.83048
Pelinson, A. M.;Shapiro, I. L.;Takakura, F. I.
2003
Physical aspects of the space-time torsion. Zbl 0977.83072
Shapiro, I. L.
2002
Massive fields temper anomaly-induced inflation: the clue to graceful exit? Zbl 0992.83102
Shapiro, Ilya L.;Solà, Joan
2002
Towards the graceful exit from the anomaly-induced inflation. Zbl 1063.83593
Shapiro, Ilya L.;Solà, Joan
2002
On the gravitational waves on the background of anomaly-induced inflation. Zbl 0972.83089
Fabris, J. C.;Pelinson, A. M.;Shapiro, I. L.
2001
The higher derivative fermionic operator and trace anomaly. Zbl 0971.81025
de Berredo-Peixoto, G.;Shapiro, I. L.
2001
Conformal symmetry, anomaly and effective action for metric-scalar gravity with torsion. Zbl 0960.83030
Helayel-Neto, J. A.;Penna-Firme, A.;Shapiro, I. L.
2000
Anomaly-induced effective action for gravity and inflation. Zbl 0965.83039
Fabris, J. C.;Pelinson, A. M.;Shapiro, I. L.
2000
On the consistency of a fermion-torsion effective theory. Zbl 0961.81053
de Berredo-Peixoto, Guilherme;Helayël, José A.;Shapiro, Ilya L.
2000
Path integral and pseudoclassical action for spinning particle in external electromagnetic and torsion fields. Zbl 1010.83046
Geyer, Bodo;Gitman, Dmitry;Shapiro, Ilya L.
2000
One-loop divergences of quantum gravity using conformal parametrization. Zbl 1010.83019
de Berredo-Peixoto, Guilherme;Penna-Firme, André;Shapiro, Ilya L.
2000
Vacuum effective action and inflation. Zbl 0986.83502
Fabris, J. C.;Pelinson, A. M.;Shapiro, I. L.
2000
Vacuum polarization in Schwarzschild space-time by anomaly induced effective actions. Zbl 0957.81012
Balbinot, R.;Fabbri, A.;Shapiro, I.
1999
Back-reaction of the vacuum and the renormalization group flow from the conformal fixed point. Zbl 1061.81537
Cognola, G.;Shapiro, I. L.
1998
Interaction of anomaly-induced gravity with quantized matter and temperature effects. Zbl 0941.83023
Cognola, G.;Shapiro, I. L.
1998
Some remarks on high derivative quantum gravity. Zbl 0902.53066
Asorey, M.;López, J. L.;Shapiro, I. L.
1997
On the conformal transformation and duality in gravity. Zbl 0869.58061
Shapiro, Ilya L.
1997
A four-dimensional theory for quantum gravity with conformal and non-conformal explicit solutions. Zbl 0823.53056
Elizalde, E.;Jacksenaev, A. G.;Odintsov, S. D.;Shapiro, I. L.
1995
On Weyl invariance conditions in string theory coupled with two-dimensional gravity. Zbl 0990.81668
Buchbinder, I. L.;Shapiro, I. L.;Sibiryakov, A. G.
1995
On string theory interacting with two-dimensional gravity. Zbl 1021.81795
Buchbinder, I. L.;Shapiro, I. L.;Sibiryakov, A. G.
1994
Hilbert-Einstein action from induced gravity coupled with scalar field. Zbl 1021.81969
Shapiro, I. L.
1994
Curvature phase transition in \(\mathbb{R}^ 2\) quantum gravity and induction of Einstein gravity. Zbl 0795.53078
Odintsov, S. D.;Shapiro, I. L.
1992
Perturbative finiteness of 2D induced quantum gravity. Zbl 1021.81871
Odintsov, S. D.;Shapiro, I. L.
1992
Perturbative analysis of two-dimensional quantum gravity: Renormalization, gauge dependence and finiteness. Zbl 0979.81534
Odintsov, S. D.;Shapiro, I. L.
1992
Perturbative approach to induced quantum gravity. Zbl 0718.53069
Odintsov, S. D.;Shapiro, I. L.
1991
On the renormalisation group equations in curved spacetime with torsion. Zbl 0703.53080
Buchbinder, I. L.;Shapiro, I. L.
1990
alltop 5

Cited by 778 Authors

41 Shapiro, Ilya Lvovich
23 Modesto, Leonardo
15 Odintsov, Sergei D.
10 Calcagni, Gianluca
10 de Paula Netto, Tibério
9 Bakke, Knut
9 Giacchini, Breno Loureiro
8 Capozziello, Salvatore
8 Rachwał, Lesław
7 Anselmi, Damiano
7 Buchbinder, Ioseph L.
7 Fabbri, Luca
6 Capriolo, Maurizio
6 Lavrov, Petr M.
6 Nojiri, Shin’ichi
6 Pelinson, Ana M.
6 Schwarz, Albert S.
6 Silvestrov, Sergei D.
6 Zanusso, Omar
5 Asorey, Manuel
5 Elizalde, Emilio
5 Furtado, Claudio
5 Medeiros, L. G.
5 Paci, Gregorio
5 Vassilevich, Dmitri V.
4 Accioly, Antonio
4 da Rocha, Roldão jun.
4 D’Ascanio, Daniela
4 de Berredo-Peixoto, Guilherme
4 de la Cruz-Dombriz, Álvaro
4 Fabris, Júlio César
4 Franchino-Viñas, Sebastián A.
4 Hoff da Silva, Julio Marny
4 Matsui, Hiroki
4 Obukhov, Yuriĭ Nikolaevich
4 Olmo, Gonzalo J.
4 Panda, Sukanta
4 Starobinskiĭ, Alekseĭ Aleksandrovich
4 Torralba, Francisco J. Maldonado
3 Aashish, Sandeep
3 Alvarez, Enrique E.
3 Bambi, Cosimo
3 Basilakos, Spyros
3 Borzou, Ahmad
3 Burzillà, Nicolò
3 Codello, Alessandro
3 Corianò, Claudio
3 Das, Apurba
3 García-Perciante, Ana Laura
3 Hammond, Richard T.
3 Hassanzadeh, Mohammad
3 Helayël-Neto, José Abdala
3 Herdy, Wallace
3 Izaurieta, Fernando
3 Koshelev, Alexey S.
3 Lambiase, Gaetano
3 Laraiedh, Ismail
3 Lu, Jianbo
3 Maglio, Matteo Maria
3 Martini, Riccardo
3 Méndez, A. R.
3 Özçelik, Hasan Tuncay
3 Pfäffle, Frank Jochen
3 Platania, Alessia Benedetta
3 Popławski, Nikodem J.
3 Reshetnyak, Alexander A.
3 Ribeiro, Tiago G.
3 Sauro, Dario
3 Schmidt, Hans-Jürgen
3 Schücker, Thomas
3 Sebastiani, Lorenzo
3 Setare, Mohammad Reza
3 Solà, Joan
3 Stephan, Christoph A.
3 Tilquin, André
3 Valcarcel, Jorge Gigante
3 Valle, Manuel A.
3 Vázquez-Mozo, Miguel Angel
3 Veermäe, Hardi
3 Velasquez-Toribio, Alan M.
3 Wetterich, Christof
3 Xu, Lixin
3 Zubkov, Mikhail A.
2 Akhshabi, Siamak
2 Ali, Ahmed Farag
2 Ali, Sean Alan
2 Anero, Jesus
2 Balodi, Mamta
2 Banerjee, Abhishek
2 Barone, F. A.
2 Bastianelli, Fiorenzo
2 Batista, R. C.
2 Belgacem, Enis
2 Belokurov, Vladimir Viktorovich
2 Benedetti, Dario
2 Beneventano, C. G.
2 Bilal, Adel
2 Bonder, Yuri
2 Boos, Jens
2 Borges, L. H. C.
...and 678 more Authors
alltop 5

Cited in 67 Serials

79 Journal of High Energy Physics
59 Physics Letters. B
59 Journal of Cosmology and Astroparticle Physics
37 Nuclear Physics. B
35 Classical and Quantum Gravity
34 General Relativity and Gravitation
29 Modern Physics Letters A
27 Annals of Physics
22 International Journal of Modern Physics D
20 International Journal of Modern Physics A
12 International Journal of Theoretical Physics
12 Journal of Mathematical Physics
11 International Journal of Geometric Methods in Modern Physics
6 Communications in Mathematical Physics
6 Physics Reports
6 Gravitation & Cosmology
6 Foundations of Physics
6 Advances in High Energy Physics
4 Physics Letters. A
4 Journal of Geometry and Physics
4 New Journal of Physics
4 Journal of Physics A: Mathematical and Theoretical
3 Letters in Mathematical Physics
3 Journal of Algebra
3 Journal of Algebra and its Applications
3 Journal of Noncommutative Geometry
3 Communications in Theoretical Physics
3 Annalen der Physik
2 Communications in Algebra
2 Physica A
2 Forum Mathematicum
2 Applied Categorical Structures
2 Theory and Applications of Categories
2 Abstract and Applied Analysis
2 Russian Physics Journal
2 The European Physical Journal C. Particles and Fields
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Journal of Statistical Physics
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Chaos, Solitons and Fractals
1 Applied Mathematics and Computation
1 Canadian Mathematical Bulletin
1 Colloquium Mathematicum
1 Journal of Differential Geometry
1 Journal of Functional Analysis
1 Journal of Pure and Applied Algebra
1 Meccanica
1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
1 Topology and its Applications
1 Journal of the American Mathematical Society
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Nuclear Physics. B. Proceedings Supplements
1 Filomat
1 The Journal of Fourier Analysis and Applications
1 Science in China. Series E
1 Communications in Contemporary Mathematics
1 Physical Review Letters
1 Entropy
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Physical Review D. Series III
1 Quantum Information Processing
1 Algebra and Discrete Mathematics
1 Science China. Mathematics
1 Symmetry
1 Afrika Matematika
1 Quantum Studies: Mathematics and Foundations
alltop 5

Cited in 46 Fields

387 Relativity and gravitational theory (83-XX)
279 Quantum theory (81-XX)
60 Differential geometry (53-XX)
40 Mechanics of particles and systems (70-XX)
32 Global analysis, analysis on manifolds (58-XX)
31 Astronomy and astrophysics (85-XX)
24 Associative rings and algebras (16-XX)
24 Partial differential equations (35-XX)
20 Nonassociative rings and algebras (17-XX)
20 Manifolds and cell complexes (57-XX)
18 Category theory; homological algebra (18-XX)
16 Algebraic geometry (14-XX)
16 Statistical mechanics, structure of matter (82-XX)
13 Dynamical systems and ergodic theory (37-XX)
12 Optics, electromagnetic theory (78-XX)
11 Operator theory (47-XX)
9 \(K\)-theory (19-XX)
8 Topological groups, Lie groups (22-XX)
8 Fluid mechanics (76-XX)
8 Classical thermodynamics, heat transfer (80-XX)
7 General and overarching topics; collections (00-XX)
5 Information and communication theory, circuits (94-XX)
4 Commutative algebra (13-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Functional analysis (46-XX)
4 Numerical analysis (65-XX)
3 Number theory (11-XX)
3 Group theory and generalizations (20-XX)
3 Functions of a complex variable (30-XX)
3 Ordinary differential equations (34-XX)
3 Abstract harmonic analysis (43-XX)
3 Geometry (51-XX)
3 General topology (54-XX)
3 Statistics (62-XX)
2 Real functions (26-XX)
2 Special functions (33-XX)
2 Systems theory; control (93-XX)
1 Combinatorics (05-XX)
1 Field theory and polynomials (12-XX)
1 Measure and integration (28-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Convex and discrete geometry (52-XX)
1 Computer science (68-XX)
1 Mechanics of deformable solids (74-XX)

Citations by Year

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