Edit Profile (opens in new tab) Dunne, Gerald V. Compute Distance To: Compute Author ID: dunne.gerald-v Published as: Dunne, Gerald V.; Dunne, Gerald; Dunne, G. V. more...less Documents Indexed: 84 Publications since 1988, including 1 Book 1 Contribution as Editor Co-Authors: 63 Co-Authors with 62 Joint Publications 1,087 Co-Co-Authors all top 5 Co-Authors 23 single-authored 10 Ünsal, Mithat 6 Bender, Carl M. 4 Başar, Gökçe 4 Costin, Ovidiu 4 Teplyaev, Alexander 3 Behtash, Alireza 3 Derevyagin, Maxim S. 3 Mograby, Gamal 3 Nishigaki, Shinsuke M. 3 Schafer, Thomas 3 Schubert, Christian 3 Sulejmanpasic, tin 3 Trugenberger, Carlo A. 2 Ahmed, Anees 2 Beccaria, Matteo 2 Borinsky, Michael 2 Feinberg, Joshua 2 Khemani, Vishesh 2 Kirsten, Klaus 2 Meisinger, Peter N. 2 Min, Hyunsoo 2 Tseytlin, Arkady Aleksandrovich 1 Akkermans, Eric 1 Argyres, Philip C. 1 Bilson-Thompson, Sundance O. 1 Cappelli, Andrea 1 Chen, Joe Po-Chou 1 Chen, Lusheng 1 Cleri, Nikko J. 1 Sobreira de Araujo Corrêa, Francisco Julio 1 Das, Ashok K. 1 Dietrich, Dennis D. 1 Forini, Valentina 1 Frenkel, Josif 1 Gies, Holger 1 Haller, Kurt 1 Hur, Jin 1 Kovner, Alex 1 Lee, Choonkyu 1 Lee, Kimyeong M. 1 Leinweber, Derek B. 1 Lerda, Alberto 1 Lim-Lombridas, Edwin 1 Lu, Changhai 1 Macorini, Guido 1 Mannix, Jake 1 Mead, Lawrence R. 1 Meynig, Max 1 Pawellek, Michael 1 Plyushchay, Mikhail S. 1 Rao, Kumar 1 Rogers, Luke G. 1 Schützhold, Ralf 1 Semenoff, Gordon Walter 1 Shifman, Mikhail A. 1 Simsek, Mehmet 1 Tanizaki, Yuya 1 Thomas, Anthony W. 1 Tirziu, Alin 1 Wijewardhana, Rohana L. C. 1 Williams, Anthony G. 1 Wright, Stewart V. 1 Zemba, Guillermo Raúl all top 5 Serials 14 Journal of Physics A: Mathematical and Theoretical 11 Journal of High Energy Physics 10 Physics Letters. B 6 Journal of Mathematical Physics 6 Journal of Physics A: Mathematical and General 5 Annals of Physics 4 Nuclear Physics. B 3 International Journal of Modern Physics A 3 Nuclear Physics. B. Proceedings Supplements 3 Physical Review Letters 2 Communications in Mathematical Physics 2 Physics Letters. A 1 Modern Physics Letters A 1 Quantum Information Processing 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Lecture Notes in Physics. New Series m: Monographs 1 Communications in Number Theory and Physics 1 Annals of Mathematical Sciences and Applications all top 5 Fields 77 Quantum theory (81-XX) 10 Partial differential equations (35-XX) 10 Dynamical systems and ergodic theory (37-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Ordinary differential equations (34-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Relativity and gravitational theory (83-XX) 3 Measure and integration (28-XX) 3 Mechanics of particles and systems (70-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Sequences, series, summability (40-XX) 2 Approximations and expansions (41-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 66 Publications have been cited 912 times in 674 Documents Cited by ▼ Year ▼ Self-dual Chern-Simons theories. Zbl 0834.58001Dunne, Gerald 167 1995 Aspects of Chern-Simons theory. Zbl 0990.81107Dunne, G. V. 54 1999 Resurgence and trans-series in quantum field theory: the \(\mathbb{C}{{\mathbb{P}}^{N-1}}\) model. Zbl 1397.81173Dunne, Gerald V.; Ünsal, Mithat 51 2012 Resurgence theory, ghost-instantons, and analytic continuation of path integrals. Zbl 1342.81227Basar, Gökçe; Dunne, Gerald V.; Ünsal, Mithat 44 2013 Quasi-exactly solvable systems and orthogonal polynomials. Zbl 0897.33014Bender, Carl M.; Dunne, Gerald V. 35 1996 Bernoulli number identities from quantum field theory and topological string theory. Zbl 1297.11009Dunne, Gerald V.; Schubert, Christian 32 2013 Heisenberg-Euler effective Lagrangians: basics and extensions. Zbl 1081.81116Dunne, Gerald V. 29 2005 Complex periodic potentials with real band spectra. Zbl 1049.81528Bender, Carl; Dunne, Gerald; Meisinger, Peter 27 1999 Exact computation of one-loop correction to the energy of folded spinning string in AdS\(_{5} \times S^{5}\). Zbl 1248.81150Beccaria, M.; Dunne, G. V.; Forini, V.; Pawellek, M.; Tseytlin, A. A. 23 2010 Quantum complex Hénon-Heiles potentials. Zbl 0984.81042Bender, C. M.; Dunne, G. V.; Meisinger, P. N.; Ṣimṣek, M. 22 2001 Large-order perturbation theory for a non-Hermitian \(\mathcal P\mathcal T\)-symmetric Hamiltonian. Zbl 0969.81019Bender, Carl M.; Dunne, Gerald V. 21 1999 Complexified path integrals, exact saddles, and supersymmetry. Zbl 1356.81198Behtash, Alireza; Dunne, Gerald V.; Schäfer, Thomas; Sulejmanpasic, tin; Ünsal, Mithat 21 2016 Quantum geometry of resurgent perturbative/nonperturbative relations. Zbl 1380.81385Basar, Gökçe; Dunne, Gerald V.; Ünsal, Mithat 21 2017 Heat kernels and zeta functions on fractals. Zbl 1258.81042Dunne, Gerald V. 21 2012 Vacuum mass spectra for \(\text{SU}(N)\) self-dual Chern-Simons-Higgs systems. Zbl 1020.81703Dunne, Gerald 20 1995 Toward Picard-Lefschetz theory of path integrals, complex saddles and resurgence. Zbl 1381.81069Behtash, Alireza; Dunne, Gerald V.; Schäfer, Thomas; Sulejmanpasic, Tin; Ünsal, Mithat 20 2017 Resurgence and dynamics of \(\mathrm{O}(N)\) and Grassmannian sigma models. Zbl 1388.81407Dunne, Gerald V.; Ünsal, Mithat 19 2015 Deconstructing zero: resurgence, supersymmetry and complex saddles. Zbl 1390.81588Dunne, Gerald V.; Ünsal, Mithat 18 2016 Polynomials and operator orderings. Zbl 0709.46501Bender, Carl M.; Dunne, Gerald V. 16 1988 WKB and resurgence in the Mathieu equation. Zbl 1414.81105Dunne, Gerald V.; Ünsal, Mithat 14 2017 Functional determinants for radial operators. Zbl 1100.81023Dunne, Gerald V.; Kirsten, Klaus 14 2006 Functional determinants in quantum field theory. Zbl 1149.81016Dunne, Gerald V. 13 2008 Exact computation of one-loop correction to the energy of pulsating strings in \(\mathrm{AdS}_5\times S^5\). Zbl 1208.83100Beccaria, M.; Dunne, G. V.; Macorini, G.; Tirziu, A.; Tseytlin, A. A. 13 2011 Two-loop self-dual Euler-Heisenberg Lagrangians. I: Real part and helicity amplitudes. Zbl 1226.81294Dunne, Gerald V.; Schubert, Christian 11 2002 Quantum canonical invariance - a Moyal approach. Zbl 0665.58049Dunne, Gerald V. 11 1988 Hilbert space for charged particles in perpendicular magnetic fields. Zbl 0767.58046Dunne, Gerald V. 11 1992 The Bogoliubov-de Gennes system, the AKNS hierarchy, and nonlinear quantum mechanical supersymmetry. Zbl 1179.81085Correa, Francisco; Dunne, Gerald V.; Plyushchay, Mikhail S. 11 2009 Physical resurgent extrapolation. Zbl 1473.81063Costin, Ovidiu; Dunne, Gerald V. 11 2020 Dynamically assisted Schwinger mechanism. Zbl 1228.81274Schützhold, Ralf; Gies, Holger; Dunne, Gerald 9 2008 The Heisenberg-Euler effective action: 75 years on. Zbl 1247.81595Dunne, Gerald V. 9 2012 Quantum distillation of Hilbert spaces, semi-classics and anomaly matching. Zbl 1396.81190Dunne, Gerald V.; Tanizaki, Yuya; Ünsal, Mithat 9 2018 Critical points at infinity, non-Gaussian saddles, and bions. Zbl 1395.81151Behtash, Alireza; Dunne, Gerald V.; Schäfer, Thomas; Sulejmanpasic, Tin; Ünsal, Mithat 9 2018 Transmutation of a trans-series: the Gross-Witten-Wadia phase transition. Zbl 1383.81142Ahmed, Anees; Dunne, Gerald V. 8 2017 Non-perturbative completion of Hopf-algebraic Dyson-Schwinger equations. Zbl 1473.81123Borinsky, Michael; Dunne, Gerald V. 8 2020 Duality and self-duality (Energy reflection symmetry) of quasi-exactly solvable periodic potentials. Zbl 1033.81075Dunne, Gerald V.; Shifman, M. 7 2002 Chern-Simons solitons, Toda theories and the chiral model. Zbl 0765.35047Dunne, Gerald 7 1992 Resurgent extrapolation: rebuilding a function from asymptotic data. Painlevé I. Zbl 07637996Costin, Ovidiu; Dunne, Gerald V. 6 2019 Derivative expansion and soliton masses. Zbl 0987.81507Dunne, Gerald V. 5 1999 Supersymmetry breaking with periodic potentials. Zbl 1355.81095Dunne, Gerald; Mannix, Jake 5 1998 Closed-form two-loop Euler-Heisenberg Lagrangian in a self-dual background. Zbl 0983.81107Dunne, Gerald V.; Schubert, Christian 5 2002 Negative-dimensional groups in quantum physics. Zbl 0687.22005Dunne, Gerald V. 5 1989 Finite temperature Chern-Simons coefficient. Zbl 0944.81020Dunne, Gerald; Lee, Kimyeong; Lu, Changhai 4 1997 Perturbative – nonperturbative connection in quantum mechanics and field theory. Zbl 1052.81568Dunne, Gerald V. 4 2002 Convergence from divergence. Zbl 1387.81270Costin, Ovidiu; Dunne, Gerald V. 3 2018 Gross-Neveu models, nonlinear Dirac equations, surfaces and strings. Zbl 1214.81071Başar, Gökçe; Dunne, Gerald V. 3 2011 Non-perturbative large \(N\) trans-series for the Gross-Witten-Wadia beta function. Zbl 1398.81171Ahmed, Anees; Dunne, Gerald V. 3 2018 Underdetermined systems of partial differential equations. Zbl 0977.35036Bender, Carl M.; Dunne, Gerald V.; Mead, Lawrence R. 3 2000 Semiclassical trans-series from the perturbative Hopf-algebraic Dyson-Schwinger equations: \(\phi^3\) QFT in 6 dimensions. Zbl 1480.81096Borinsky, Michael; Dunne, Gerald V.; Meynig, Max 3 2021 Perfect quantum state transfer on diamond fractal graphs. Zbl 07649866Derevyagin, Maxim; Dunne, Gerald V.; Mograby, Gamal; Teplyaev, Alexander 3 2020 Fractal AC circuits and propagating waves on fractals. Zbl 1454.78009Akkermans, Eric; Chen, Joe P.; Dunne, Gerald; Rogers, Luke G.; Teplyaev, Alexander 2 2020 Hamiltonian systems, Toda lattices, solitons, Lax pairs on weighted \(\mathbb{Z}\)-graded graphs. Zbl 1466.37057Mograby, Gamal; Derevyagin, Maxim; Dunne, Gerald V.; Teplyaev, Alexander 2 2021 Symmetry aspects and finite-size scaling of quantum Hall fluids. Zbl 0989.82521Cappelli, Andrea; Dunne, Gerald V.; Trugenberger, Carlo A.; Zemba, Guillermo R. 2 1993 Lamé instantons. Zbl 0989.81028Dunne, Gerald V.; Rao, Kumar 2 2000 Odd dimensional gauge theories and current algebra. Zbl 0739.53062Dunne, Gerald V.; Trugenberger, Carlo A. 2 1990 Numerical investigation of monopole chains. Zbl 1081.81075Dunne, Gerald V.; Khemani, Vishesh 2 2005 Two-color QCD in 3D at finite baryon density. Zbl 1010.81053Dunne, Gerald V.; Nishigaki, Shinsuke M. 2 2003 Self-duality and Chern-Simons theories. Zbl 0822.35129Dunne, Gerald 1 1992 Canonical quantization of spontaneously broken topologically massive gauge theory. Zbl 0864.58063Chen, Lusheng; Dunne, Gerald; Haller, Kurt; Lim-Lombridas, Edwin 1 1996 Gutzwiller’s trace formula and vacuum pair production. Zbl 1129.81356Dietrich, Dennis D.; Dunne, Gerald V. 1 2007 Comparison of \(| Q| =1\) and \(| Q| =2\) gauge-field configurations on the lattice four-torus. Zbl 1046.81526Bilson-Thompson, Sundance O.; Leinweber, Derek B.; Williams, Anthony G.; Dunne, Gerald V. 1 2004 Instanton determinant with arbitrary quark mass: WKB phase-shift method and derivative expansion. Zbl 1247.81301Dunne, Gerald V.; Hur, Jin; Lee, Choonkyu; Min, Hyunsoo 1 2004 A gauge/gravity relation in the one-loop effective action. Zbl 1186.83056Başar, Gökçe; Dunne, Gerald V. 1 2010 Zero modes and self-isospectral potentials in periodic supersymmetric quantum mechanics. Zbl 0902.35095Dunne, Gerald; Feinberg, Joshua 1 1998 Uniformization and constructive analytic continuation of Taylor series. Zbl 1493.30005Costin, Ovidiu; Dunne, Gerald V. 1 2022 Resurgence, Painlevé equations and conformal blocks. Zbl 07638011Dunne, Gerald V. 1 2019 Spectra of perfect state transfer Hamiltonians on fractal-like graphs. Zbl 07649084Mograby, Gamal; Derevyagin, Maxim; Dunne, Gerald V.; Teplyaev, Alexander 1 2021 Uniformization and constructive analytic continuation of Taylor series. Zbl 1493.30005Costin, Ovidiu; Dunne, Gerald V. 1 2022 Semiclassical trans-series from the perturbative Hopf-algebraic Dyson-Schwinger equations: \(\phi^3\) QFT in 6 dimensions. Zbl 1480.81096Borinsky, Michael; Dunne, Gerald V.; Meynig, Max 3 2021 Hamiltonian systems, Toda lattices, solitons, Lax pairs on weighted \(\mathbb{Z}\)-graded graphs. Zbl 1466.37057Mograby, Gamal; Derevyagin, Maxim; Dunne, Gerald V.; Teplyaev, Alexander 2 2021 Spectra of perfect state transfer Hamiltonians on fractal-like graphs. Zbl 07649084Mograby, Gamal; Derevyagin, Maxim; Dunne, Gerald V.; Teplyaev, Alexander 1 2021 Physical resurgent extrapolation. Zbl 1473.81063Costin, Ovidiu; Dunne, Gerald V. 11 2020 Non-perturbative completion of Hopf-algebraic Dyson-Schwinger equations. Zbl 1473.81123Borinsky, Michael; Dunne, Gerald V. 8 2020 Perfect quantum state transfer on diamond fractal graphs. Zbl 07649866Derevyagin, Maxim; Dunne, Gerald V.; Mograby, Gamal; Teplyaev, Alexander 3 2020 Fractal AC circuits and propagating waves on fractals. Zbl 1454.78009Akkermans, Eric; Chen, Joe P.; Dunne, Gerald; Rogers, Luke G.; Teplyaev, Alexander 2 2020 Resurgent extrapolation: rebuilding a function from asymptotic data. Painlevé I. Zbl 07637996Costin, Ovidiu; Dunne, Gerald V. 6 2019 Resurgence, Painlevé equations and conformal blocks. Zbl 07638011Dunne, Gerald V. 1 2019 Quantum distillation of Hilbert spaces, semi-classics and anomaly matching. Zbl 1396.81190Dunne, Gerald V.; Tanizaki, Yuya; Ünsal, Mithat 9 2018 Critical points at infinity, non-Gaussian saddles, and bions. Zbl 1395.81151Behtash, Alireza; Dunne, Gerald V.; Schäfer, Thomas; Sulejmanpasic, Tin; Ünsal, Mithat 9 2018 Convergence from divergence. Zbl 1387.81270Costin, Ovidiu; Dunne, Gerald V. 3 2018 Non-perturbative large \(N\) trans-series for the Gross-Witten-Wadia beta function. Zbl 1398.81171Ahmed, Anees; Dunne, Gerald V. 3 2018 Quantum geometry of resurgent perturbative/nonperturbative relations. Zbl 1380.81385Basar, Gökçe; Dunne, Gerald V.; Ünsal, Mithat 21 2017 Toward Picard-Lefschetz theory of path integrals, complex saddles and resurgence. Zbl 1381.81069Behtash, Alireza; Dunne, Gerald V.; Schäfer, Thomas; Sulejmanpasic, Tin; Ünsal, Mithat 20 2017 WKB and resurgence in the Mathieu equation. Zbl 1414.81105Dunne, Gerald V.; Ünsal, Mithat 14 2017 Transmutation of a trans-series: the Gross-Witten-Wadia phase transition. Zbl 1383.81142Ahmed, Anees; Dunne, Gerald V. 8 2017 Complexified path integrals, exact saddles, and supersymmetry. Zbl 1356.81198Behtash, Alireza; Dunne, Gerald V.; Schäfer, Thomas; Sulejmanpasic, tin; Ünsal, Mithat 21 2016 Deconstructing zero: resurgence, supersymmetry and complex saddles. Zbl 1390.81588Dunne, Gerald V.; Ünsal, Mithat 18 2016 Resurgence and dynamics of \(\mathrm{O}(N)\) and Grassmannian sigma models. Zbl 1388.81407Dunne, Gerald V.; Ünsal, Mithat 19 2015 Resurgence theory, ghost-instantons, and analytic continuation of path integrals. Zbl 1342.81227Basar, Gökçe; Dunne, Gerald V.; Ünsal, Mithat 44 2013 Bernoulli number identities from quantum field theory and topological string theory. Zbl 1297.11009Dunne, Gerald V.; Schubert, Christian 32 2013 Resurgence and trans-series in quantum field theory: the \(\mathbb{C}{{\mathbb{P}}^{N-1}}\) model. Zbl 1397.81173Dunne, Gerald V.; Ünsal, Mithat 51 2012 Heat kernels and zeta functions on fractals. Zbl 1258.81042Dunne, Gerald V. 21 2012 The Heisenberg-Euler effective action: 75 years on. Zbl 1247.81595Dunne, Gerald V. 9 2012 Exact computation of one-loop correction to the energy of pulsating strings in \(\mathrm{AdS}_5\times S^5\). Zbl 1208.83100Beccaria, M.; Dunne, G. V.; Macorini, G.; Tirziu, A.; Tseytlin, A. A. 13 2011 Gross-Neveu models, nonlinear Dirac equations, surfaces and strings. Zbl 1214.81071Başar, Gökçe; Dunne, Gerald V. 3 2011 Exact computation of one-loop correction to the energy of folded spinning string in AdS\(_{5} \times S^{5}\). Zbl 1248.81150Beccaria, M.; Dunne, G. V.; Forini, V.; Pawellek, M.; Tseytlin, A. A. 23 2010 A gauge/gravity relation in the one-loop effective action. Zbl 1186.83056Başar, Gökçe; Dunne, Gerald V. 1 2010 The Bogoliubov-de Gennes system, the AKNS hierarchy, and nonlinear quantum mechanical supersymmetry. Zbl 1179.81085Correa, Francisco; Dunne, Gerald V.; Plyushchay, Mikhail S. 11 2009 Functional determinants in quantum field theory. Zbl 1149.81016Dunne, Gerald V. 13 2008 Dynamically assisted Schwinger mechanism. Zbl 1228.81274Schützhold, Ralf; Gies, Holger; Dunne, Gerald 9 2008 Gutzwiller’s trace formula and vacuum pair production. Zbl 1129.81356Dietrich, Dennis D.; Dunne, Gerald V. 1 2007 Functional determinants for radial operators. Zbl 1100.81023Dunne, Gerald V.; Kirsten, Klaus 14 2006 Heisenberg-Euler effective Lagrangians: basics and extensions. Zbl 1081.81116Dunne, Gerald V. 29 2005 Numerical investigation of monopole chains. Zbl 1081.81075Dunne, Gerald V.; Khemani, Vishesh 2 2005 Comparison of \(| Q| =1\) and \(| Q| =2\) gauge-field configurations on the lattice four-torus. Zbl 1046.81526Bilson-Thompson, Sundance O.; Leinweber, Derek B.; Williams, Anthony G.; Dunne, Gerald V. 1 2004 Instanton determinant with arbitrary quark mass: WKB phase-shift method and derivative expansion. Zbl 1247.81301Dunne, Gerald V.; Hur, Jin; Lee, Choonkyu; Min, Hyunsoo 1 2004 Two-color QCD in 3D at finite baryon density. Zbl 1010.81053Dunne, Gerald V.; Nishigaki, Shinsuke M. 2 2003 Two-loop self-dual Euler-Heisenberg Lagrangians. I: Real part and helicity amplitudes. Zbl 1226.81294Dunne, Gerald V.; Schubert, Christian 11 2002 Duality and self-duality (Energy reflection symmetry) of quasi-exactly solvable periodic potentials. Zbl 1033.81075Dunne, Gerald V.; Shifman, M. 7 2002 Closed-form two-loop Euler-Heisenberg Lagrangian in a self-dual background. Zbl 0983.81107Dunne, Gerald V.; Schubert, Christian 5 2002 Perturbative – nonperturbative connection in quantum mechanics and field theory. Zbl 1052.81568Dunne, Gerald V. 4 2002 Quantum complex Hénon-Heiles potentials. Zbl 0984.81042Bender, C. M.; Dunne, G. V.; Meisinger, P. N.; Ṣimṣek, M. 22 2001 Underdetermined systems of partial differential equations. Zbl 0977.35036Bender, Carl M.; Dunne, Gerald V.; Mead, Lawrence R. 3 2000 Lamé instantons. Zbl 0989.81028Dunne, Gerald V.; Rao, Kumar 2 2000 Aspects of Chern-Simons theory. Zbl 0990.81107Dunne, G. V. 54 1999 Complex periodic potentials with real band spectra. Zbl 1049.81528Bender, Carl; Dunne, Gerald; Meisinger, Peter 27 1999 Large-order perturbation theory for a non-Hermitian \(\mathcal P\mathcal T\)-symmetric Hamiltonian. Zbl 0969.81019Bender, Carl M.; Dunne, Gerald V. 21 1999 Derivative expansion and soliton masses. Zbl 0987.81507Dunne, Gerald V. 5 1999 Supersymmetry breaking with periodic potentials. Zbl 1355.81095Dunne, Gerald; Mannix, Jake 5 1998 Zero modes and self-isospectral potentials in periodic supersymmetric quantum mechanics. Zbl 0902.35095Dunne, Gerald; Feinberg, Joshua 1 1998 Finite temperature Chern-Simons coefficient. Zbl 0944.81020Dunne, Gerald; Lee, Kimyeong; Lu, Changhai 4 1997 Quasi-exactly solvable systems and orthogonal polynomials. Zbl 0897.33014Bender, Carl M.; Dunne, Gerald V. 35 1996 Canonical quantization of spontaneously broken topologically massive gauge theory. Zbl 0864.58063Chen, Lusheng; Dunne, Gerald; Haller, Kurt; Lim-Lombridas, Edwin 1 1996 Self-dual Chern-Simons theories. Zbl 0834.58001Dunne, Gerald 167 1995 Vacuum mass spectra for \(\text{SU}(N)\) self-dual Chern-Simons-Higgs systems. Zbl 1020.81703Dunne, Gerald 20 1995 Symmetry aspects and finite-size scaling of quantum Hall fluids. Zbl 0989.82521Cappelli, Andrea; Dunne, Gerald V.; Trugenberger, Carlo A.; Zemba, Guillermo R. 2 1993 Hilbert space for charged particles in perpendicular magnetic fields. Zbl 0767.58046Dunne, Gerald V. 11 1992 Chern-Simons solitons, Toda theories and the chiral model. Zbl 0765.35047Dunne, Gerald 7 1992 Self-duality and Chern-Simons theories. Zbl 0822.35129Dunne, Gerald 1 1992 Odd dimensional gauge theories and current algebra. Zbl 0739.53062Dunne, Gerald V.; Trugenberger, Carlo A. 2 1990 Negative-dimensional groups in quantum physics. Zbl 0687.22005Dunne, Gerald V. 5 1989 Polynomials and operator orderings. Zbl 0709.46501Bender, Carl M.; Dunne, Gerald V. 16 1988 Quantum canonical invariance - a Moyal approach. Zbl 0665.58049Dunne, Gerald V. 11 1988 all cited Publications top 5 cited Publications all top 5 Cited by 922 Authors 37 Lin, Chang-Shou 26 Dunne, Gerald V. 20 Kim, Dae San 20 Kim, Taekyun 20 Ünsal, Mithat 13 Wei, Juncheng 12 Lee, Youngae 12 Yang, Yisong 11 Huh, Hyungjin 11 Malchiodi, Andrea 11 Mariño, Marcos 11 Zhang, Lei 10 Bender, Carl M. 9 Choe, Kwangseok 9 Han, Xiaosen 9 Kwon, JongKyum 9 Tarantello, Gabriella 8 Jang, Gwan-Woo 8 Misumi, Tatsuhiro 8 Nitta, Muneto 8 Tanizaki, Yuya 8 Teplyaev, Alexander 7 Ao, Weiwei 7 Gorskiĭ, Aleksandr Sergeevich 7 Huang, Hsin-Yuan 7 Schubert, Christian 7 Sulejmanpasic, tin 6 Kim, Namkwon 6 Ruiz, David 6 Sever, Ramazan 5 Aniceto, Inês 5 Battaglia, Luca 5 Dorigoni, Daniele 5 Forini, Valentina 5 Grassi, Alba 5 Schiappa, Ricardo 5 Yang, Wen 4 Ahmadiniaz, Naser 4 Bartolucci, Daniele 4 Beccaria, Matteo 4 Borinsky, Michael 4 Chen, Zhiyou 4 Chern, Jann-Long 4 Derevyagin, Maxim S. 4 Dolgiĭ, Dmitriĭ Viktorovich 4 Gu, Jie 4 Gudnason, Sven Bjarke 4 Jang, Lee-Chae 4 López-Soriano, Rafael 4 Milekhin, Alexey 4 Reis, Tomás A. 4 Tan, Jinggang 4 Tang, Xianhua 4 Trugenberger, Carlo A. 4 Tseytlin, Arkady Aleksandrovich 4 Wan, Youyan 4 Yan, Shusen 4 Zhao, Chunyi 3 Bakke, Knut 3 Behtash, Alireza 3 Bianchi, Marco S. 3 Bonora, Loriano 3 Böttcher, Stefan 3 Chen, Joe Po-Chou 3 Cherman, Aleksey 3 Corradini, Olindo 3 Cvitan, Maro 3 de Marchis, Francesca 3 Edwards, James P. 3 Fioravanti, Davide 3 Fitzpatrick, A. Liam 3 Ganguly, Asish 3 Griguolo, Luca 3 Han, Jongmin 3 Ilderton, Anton 3 Jevnikar, Aleks Yang Wen 3 Kaplan, Jared 3 Khare, Avinash 3 Kuroki, Tsunehide 3 Li, Fangfang 3 Luo, Xiao 3 Macorini, Guido 3 Mandal, Bhabani Prasad 3 Panigrahi, Kamal Lochan 3 Pistoia, Angela 3 Rossi, Marco 3 Sakai, Norisuke 3 Seminara, Domenico 3 Sopenko, Nikita 3 Sugino, Fumihiko 3 Thompson, Daniel C. 3 Vescovi, Edoardo 3 Wang, Guofang 3 Yamazaki, Masahito 3 Yoshii, Ryosuke 3 Yuan, Jianjun 3 Zhang, Jian 3 Zhang, Ruifeng 2 Acosta Humánez, Primitivo Belén 2 Agoh, Takashi ...and 822 more Authors all top 5 Cited in 136 Serials 151 Journal of High Energy Physics 69 Journal of Mathematical Physics 36 Nuclear Physics. B 25 Communications in Mathematical Physics 19 Modern Physics Letters A 17 Physics Letters. B 16 International Journal of Modern Physics A 15 Journal of Differential Equations 15 Journal of Functional Analysis 13 Journal of Mathematical Analysis and Applications 12 Advances in High Energy Physics 10 Letters in Mathematical Physics 10 Calculus of Variations and Partial Differential Equations 10 Journal of Physics A: Mathematical and Theoretical 8 International Journal of Theoretical Physics 8 Physics Letters. A 8 Physical Review Letters 7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6 Physics Reports 6 Journal of Geometry and Physics 6 Annals of Physics 6 Annales Henri Poincaré 6 Advances in Difference Equations 5 Discrete and Continuous Dynamical Systems 5 Journal of Nonlinear Science and Applications 4 Classical and Quantum Gravity 4 Communications on Pure and Applied Mathematics 4 Theoretical and Mathematical Physics 4 Advances in Mathematics 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Nuclear Physics. B. Proceedings Supplements 4 New Journal of Physics 3 Nonlinearity 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Communications in Partial Differential Equations 3 International Journal of Modern Physics D 3 NoDEA. Nonlinear Differential Equations and Applications 3 Journal of Mathematical Chemistry 3 Journal of Inequalities and Applications 3 Communications in Contemporary Mathematics 3 Czechoslovak Journal of Physics 3 International Journal of Geometric Methods in Modern Physics 3 Annalen der Physik 3 Open Mathematics 2 Journal of Statistical Physics 2 Reports on Mathematical Physics 2 Memoirs of the American Mathematical Society 2 Proceedings of the American Mathematical Society 2 Geometric and Functional Analysis. GAFA 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 2 The Ramanujan Journal 2 Abstract and Applied Analysis 2 Journal of the European Mathematical Society (JEMS) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Communications on Pure and Applied Analysis 2 Journal of Cosmology and Astroparticle Physics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Journal of Statistical Mechanics: Theory and Experiment 2 The European Physical Journal C. Particles and Fields 2 Complex Variables and Elliptic Equations 2 Journal of Fixed Point Theory and Applications 2 Symmetry 2 ISRN High Energy Physics 2 Mathematics 1 International Journal of Modern Physics B 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 European Journal of Physics 1 Geophysical and Astrophysical Fluid Dynamics 1 General Relativity and Gravitation 1 Linear and Multilinear Algebra 1 Physica A 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Fortschritte der Physik 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Quarterly of Applied Mathematics 1 Results in Mathematics 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 1 Science in China. Series A 1 Differential Geometry and its Applications ...and 36 more Serials all top 5 Cited in 50 Fields 454 Quantum theory (81-XX) 200 Partial differential equations (35-XX) 98 Relativity and gravitational theory (83-XX) 70 Global analysis, analysis on manifolds (58-XX) 52 Statistical mechanics, structure of matter (82-XX) 35 Ordinary differential equations (34-XX) 33 Mechanics of particles and systems (70-XX) 32 Number theory (11-XX) 27 Special functions (33-XX) 25 Differential geometry (53-XX) 22 Operator theory (47-XX) 20 Combinatorics (05-XX) 19 Algebraic geometry (14-XX) 19 Dynamical systems and ergodic theory (37-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 14 Nonassociative rings and algebras (17-XX) 11 Optics, electromagnetic theory (78-XX) 9 Measure and integration (28-XX) 8 Functional analysis (46-XX) 8 Manifolds and cell complexes (57-XX) 7 Functions of a complex variable (30-XX) 7 Probability theory and stochastic processes (60-XX) 7 Fluid mechanics (76-XX) 6 Algebraic topology (55-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Topological groups, Lie groups (22-XX) 4 Associative rings and algebras (16-XX) 4 Potential theory (31-XX) 4 Sequences, series, summability (40-XX) 4 Numerical analysis (65-XX) 3 History and biography (01-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Difference and functional equations (39-XX) 3 Approximations and expansions (41-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistics (62-XX) 2 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geometry (51-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of deformable solids (74-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year