Edit Profile (opens in new tab) Finster, Felix Co-Author Distance Author ID: finster.felix Published as: Finster, Felix; Finster, F. External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 139 Publications since 1996, including 3 Books and 27 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 50 Co-Authors with 103 Joint Publications 1,085 Co-Co-Authors all top 5 Co-Authors 39 single-authored 26 Smoller, Joel Alan 17 Yau, Shing-Tung 15 Kamran, Niky 7 Röken, Christian 6 Kleiner, Johannes 6 Reintjes, Moritz 5 Isidro San Juan, José-Maria 5 Paganini, Claudio F. 5 Tolksdorf, Jürgen 4 Grotz, Andreas 4 Kraus, Margarita 4 Lottner, Magdalena 4 Much, Albert 4 Oppio, Marco 4 Schiefeneder, Daniela 3 Dappiaggi, Claudio 3 Murro, Simone 2 Curiel, Erik 2 Hainzl, Christian 2 Langer, Christoph 2 Müller, Olaf 2 Nardmann, Marc 2 Papadopoulos, Kyriakos 2 Strohmaier, Alexander 1 Bäuml, Lucia 1 Bernard, Yann 1 Bray, Hubert L. 1 Diethert, A. 1 Frankl, Michelle 1 Fröhlich, Jürg Martin 1 Giulini, Domenico J. W. 1 Gresnigt, Niels G. 1 Guendelman, Eduardo I. 1 Hoch, Stefan 1 Jokel, Maximilian 1 Jonsson, Robert H. 1 Kath, Ines 1 Kilbertus, Niki 1 Kindermann, Sebastian 1 Krpoun, Christoph 1 Marcianò, Antonino 1 Oeckl, Robert 1 Platzer, Andreas 1 Plaum, Wätzold 1 Radici, Emanuela 1 Schmid, Harald 1 Schnürer, Oliver Christian 1 Singh, Tejinder P. 1 von der Mosel, Heiko 1 Zeidler, Eberhard all top 5 Serials 15 Advances in Theoretical and Mathematical Physics 14 Journal of Mathematical Physics 7 Calculus of Variations and Partial Differential Equations 7 Annales Henri Poincaré 6 Communications in Mathematical Physics 5 Methods and Applications of Analysis 4 Classical and Quantum Gravity 3 Journal of Mathematical Analysis and Applications 3 Letters in Mathematical Physics 3 Journal für die Reine und Angewandte Mathematik 2 Archive for Rational Mechanics and Analysis 2 Communications on Pure and Applied Mathematics 2 Canadian Journal of Mathematics 2 Michigan Mathematical Journal 2 Communications in Analysis and Geometry 2 Mathematical Research Letters 2 Advances in Calculus of Variations 1 International Journal of Modern Physics A 1 Nuclear Physics. B 1 Physics Letters. A 1 Journal of Geometry and Physics 1 Journal of Differential Equations 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Annals of Global Analysis and Geometry 1 Annals of Physics 1 Bulletin of the American Mathematical Society. New Series 1 International Journal of Modern Physics D 1 Vietnam Journal of Mathematics 1 Communications in Mathematical Sciences 1 Journal of Hyperbolic Differential Equations 1 Foundations of Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Pure and Applied Mathematics Quarterly 1 Fundamental Theories of Physics 1 AMS/IP Studies in Advanced Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Discrete and Continuous Dynamical Systems. Series S 1 ICCM Notices 1 Annals of Mathematical Sciences and Applications all top 5 Fields 71 Quantum theory (81-XX) 60 Relativity and gravitational theory (83-XX) 32 Partial differential equations (35-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 21 Differential geometry (53-XX) 16 Global analysis, analysis on manifolds (58-XX) 10 Operator theory (47-XX) 8 Functional analysis (46-XX) 7 Ordinary differential equations (34-XX) 6 Mechanics of particles and systems (70-XX) 5 Geometry (51-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Measure and integration (28-XX) 3 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Several complex variables and analytic spaces (32-XX) 2 General topology (54-XX) 2 Statistics (62-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 96 Publications have been cited 788 times in 275 Documents Cited by ▼ Year ▼ Decay of solutions of the wave equation in the Kerr geometry. Zbl 1194.83015 Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T. 59 2006 The continuum limit of causal fermion systems. From Planck scale structures to macroscopic physics. Zbl 1353.81001 Finster, Felix 38 2016 Nonexistence of time-periodic solutions of the Dirac equation in an axisymmetric black hole geometry. Zbl 1049.83014 Finster, Felix; Kamran, Niky; Smoller, Joel; Yau, Shing-Tung 26 2000 Decay rates and probability estimates for massive Dirac particles in the Kerr-Newman black hole geometry. Zbl 1026.83029 Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T. 24 2002 The principle of the fermionic projector. Zbl 1090.83002 Finster, Felix 21 2006 Particle-like solutions of the Einstein-Dirac-Maxwell equations. Zbl 0936.83008 Finster, Felix; Smoller, Joel; Yau, Shing-Tung 20 1999 Causal variational principles on measure spaces. Zbl 1213.49006 Finster, Felix 20 2010 On the support of minimizers of causal variational principles. Zbl 1306.49060 Finster, Felix; Schiefeneder, Daniela 18 2013 Non-existence of time-periodic solutions of the Dirac equation in a Reissner- Nordström black hole background. Zbl 0983.83021 Finster, Felix; Smoller, Joel; Yau, Shing-Tung 17 2000 The fermionic projector in a time-dependent external potential: mass oscillation property and Hadamard states. Zbl 1345.81033 Finster, Felix; Murro, Simone; Röken, Christian 17 2016 A Hamiltonian formulation of causal variational principles. Zbl 1375.49060 Finster, Felix; Kleiner, Johannes 17 2017 Erratum: Decay of solutions of the wave equation in the Kerr geometry. Zbl 1194.83014 Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T. 16 2008 Curvature estimates and the positive mass theorem. Zbl 1030.53041 Bray, Hubert; Finster, Felix 15 2002 Definition of the Dirac sea in the presence of external fields. Zbl 0929.35123 Finster, Felix 14 1998 An integral spectral representation of the propagator for the wave equation in the Kerr geometry. Zbl 1089.83017 Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T. 14 2005 A Lorentzian quantum geometry. Zbl 1346.82002 Finster, Felix; Grotz, Andreas 14 2012 A variational principle in discrete space-time: existence of minimizers. Zbl 1131.49031 Finster, Felix 13 2007 Gupta-Bleuler quantization of the Maxwell field in globally hyperbolic space-times. Zbl 1321.81063 Finster, Felix; Strohmaier, Alexander 13 2015 On the structure of minimizers of causal variational principles in the non-compact and equivariant settings. Zbl 1281.49039 Bernard, Yann; Finster, Felix 13 2014 Local \(\text{U}(2,2)\) symmetry in relativistic quantum mechanics. Zbl 0935.81004 Finster, Felix 12 1998 A level set analysis of the Witten spinor with applications to curvature estimates. Zbl 1178.53045 Finster, Felix 12 2009 Noether-like theorems for causal variational principles. Zbl 1337.49076 Finster, Felix; Kleiner, Johannes 12 2016 Complex structures on jet spaces and bosonic Fock space dynamics for causal variational principles. Zbl 1479.58018 Finster, Felix; Kamran, Niky 12 2021 Causal fermion systems: a quantum space-time emerging from an action principle. Zbl 1246.81174 Finster, Felix; Grotz, Andreas; Schiefeneder, Daniela 11 2012 A formulation of quantum field theory realizing a sea of interacting Dirac particles. Zbl 1231.81063 Finster, Felix 11 2011 Linear stability of the non-extreme Kerr black hole. Zbl 1387.83045 Finster, Felix; Smoller, Joel 11 2018 Light-cone expansion of the Dirac sea in the presence of chiral and scalar potentials. Zbl 0971.81102 Finster, Felix 11 2000 A non-perturbative construction of the fermionic projector on globally hyperbolic manifolds. I: Space-times of finite lifetime. Zbl 1338.83032 Finster, Felix; Reintjes, Moritz 11 2015 Curvature estimates in asymptotically flat manifolds of positive scalar curvature. Zbl 1041.53027 Finster, Felix; Kath, Ines 11 2002 A rigorous treatment of energy extraction from a rotating black hole. Zbl 1200.83068 Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T. 11 2009 Perturbative quantum field theory in the framework of the fermionic projector. Zbl 1295.81111 Finster, Felix 10 2014 The fermionic signature operator and quantum states in Rindler space-time. Zbl 1366.81240 Finster, Felix; Murro, Simone; Röken, Christian 10 2017 Non-existence of black hole solutions for a spherically symmetric, static Einstein-Dirac-Maxwell system. Zbl 0939.83037 Finster, Felix; Smoller, Joel; Yau, Shing-Tung 9 1999 A non-perturbative construction of the fermionic projector on globally hyperbolic manifolds. II: space-times of infinite lifetime. Zbl 1361.83004 Finster, Felix; Reintjes, Moritz 9 2016 On the regularized fermionic projector of the vacuum. Zbl 1153.81358 Finster, Felix 9 2008 Linearized fields for causal variational principles: existence theory and causal structure. Zbl 1451.35005 Dappiaggi, Claudio; Finster, Felix 9 2020 The fermionic signature operator in De Sitter spacetime. Zbl 1436.81163 Dappiaggi, Claudio; Finster, Felix; Murro, Simone; Radici, Emanuela 9 2020 Lorentzian spectral geometry for globally hyperbolic surfaces. Zbl 1360.58014 Finster, Felix; Müller, Olaf 8 2016 Perturbation theory for critical points of causal variational principles. Zbl 07435483 Finster, Felix 8 2020 Decay of solutions of the Teukolsky equation for higher spin in the Schwarzschild geometry. Zbl 1178.81205 Finster, Felix; Smoller, Joel 7 2009 Self-adjointness of the Dirac Hamiltonian for a class of non-uniformly elliptic boundary value problems. Zbl 1386.35042 Finster, Felix; Röken, Christian 7 2016 A time-independent energy estimate for outgoing scalar waves in the Kerr geometry. Zbl 1180.35524 Finster, Felix; Smoller, Joel 7 2008 Banach manifold structure and infinite-dimensional analysis for causal fermion systems. Zbl 1471.58003 Finster, Felix; Lottner, Magdalena 7 2021 The Dirac equation and the normalization of its solutions in a closed Friedmann-Robertson-Walker universe. Zbl 1166.83019 Finster, Felix; Reintjes, Moritz 6 2009 Erratum: ”Nonexistence of time-periodic solutions of the Dirac equation in an axisymmetric black hole geometry”. Zbl 1049.83015 Finster, Felix; Kamran, Niky; Smoller, Joel; Yau, Shing-Tung 6 2000 Perturbative description of the fermionic projector: normalization, causality, and Furry’s theorem. Zbl 1295.81112 Finster, Felix; Tolksdorf, Jürgen 6 2014 The fermionic signature operator and Hadamard states in the presence of a plane electromagnetic wave. Zbl 1368.81150 Finster, Felix; Reintjes, Moritz 6 2017 Singular support of minimizers of the causal variational principle on the sphere. Zbl 1429.49047 Bäuml, Lucia; Finster, Felix; Schiefeneder, Daniela; von der Mosel, Heiko 6 2019 A gauge fixing procedure for causal fermion systems. Zbl 1454.81143 Finster, Felix; Kindermann, Sebastian 6 2020 The causal action in Minkowski space and surface layer integrals. Zbl 1458.83003 Finster, Felix 6 2020 Entanglement and second quantization in the framework of the fermionic projector. Zbl 1207.81011 Finster, Felix 6 2010 Quantum oscillations can prevent the big bang singularity in an Einstein-Dirac cosmology. Zbl 1185.83030 Finster, Felix; Hainzl, Christian 5 2010 The causal perturbation expansion revisited: rescaling the interacting Dirac sea. Zbl 1311.81253 Finster, Felix; Grotz, Andreas 5 2010 The linear dynamics of wave functions in causal fermion systems. Zbl 1472.81334 Finster, Felix; Kamran, Niky; Oppio, Marco 5 2021 Spinors on singular spaces and the topology of causal fermion systems. Zbl 1445.53001 Finster, Felix; Kamran, Niky 5 2019 Spectral estimates and non-selfadjoint perturbations of spheroidal wave operators. Zbl 1124.34060 Finster, Felix; Schmid, Harald 4 2006 Light-cone expansion of the Dirac sea to first order in the external potential. Zbl 0963.81019 Finster, Felix 4 1999 Linear waves in the Kerr geometry: a mathematical voyage to black hole physics. Zbl 1177.83082 Finster, Felix; Kamran, Niky; Smoller, Joel; Yau, Shing-Tung 4 2009 Fermion systems in discrete space-time – outer symmetries and spontaneous symmetry breaking. Zbl 1138.81043 Finster, Felix 4 2007 Causal fermion systems: an overview. Zbl 1336.81002 Finster, Felix 4 2016 Causal fermion systems and the ETH approach to quantum theory. Zbl 1475.83003 Finster, Felix; Fröhlich, Jürg; Oppio, Marco; Paganini, Claudio F. 4 2021 An integral spectral representation of the massive Dirac propagator in the Kerr geometry in Eddington-Finkelstein-type coordinates. Zbl 1480.81058 Finster, Felix; Röken, Christian 4 2018 The regularized Hadamard expansion. Zbl 1450.35229 Finster, Felix; Kraus, Margarita 4 2020 A class of conserved surface layer integrals for causal variational principles. Zbl 1433.49011 Finster, Felix; Kleiner, Johannes 4 2019 An action principle for the masses of Dirac particles. Zbl 1202.81223 Finster, Felix; Hoch, Stefan 4 2009 Correction to: “Gupta-Bleuler quantization of the Maxwell field in globally hyperbolic space-times”. Zbl 1380.81456 Finster, Felix; Strohmaier, Alexander 3 2018 From discrete space-time to Minkowski space: basic mechanisms, methods and perspectives. Zbl 1166.83005 Finster, Felix 3 2009 Fermion systems in discrete space-time exemplifying the spantaneous generation of a causal structure. Zbl 1159.83308 Diethert, A.; Finster, F.; Schiefeneder, D. 3 2008 Absence of static, spherically symmetric black hole solutions for Einstein-Dirac-Yang/Mills equations with complete fermion shells. Zbl 1016.83027 Finster, Felix; Smoller, Joel; Yau, Shing-Tung 3 2000 Hypersurfaces of prescribed Gauß curvature in exterior domains. Zbl 1087.35044 Finster, Felix; Schnürer, Oliver C. 3 2002 Fermionic Fock spaces and quantum states for causal fermion systems. Zbl 1495.81108 Finster, Felix; Kamran, Niky 3 2022 Bosonic loop diagrams as perturbative solutions of the classical field equations in \(\phi^4\)-theory. Zbl 1276.70020 Finster, Felix; Tolksdorf, Jürgen 3 2012 A mechanism of baryogenesis for causal fermion systems. Zbl 1500.83031 Finster, Felix; Jokel, Maximilian; Paganini, Claudio F. 3 2022 Curvature estimates in asymptotically flat Lorentzian manifolds. Zbl 1083.53064 Finster, Felix; Kraus, Margarita 2 2005 The interaction of Dirac particles with non-abelian gauge fields and gravity-bound states. Zbl 0984.81079 Finster, Felix; Smoller, Joel; Yau, Shing-Tung 2 2000 \(L^p\)-spectrum of the Schrödinger operator with inverted harmonic oscillator potential. Zbl 1372.81056 Finster, Felix; Isidro, José M. 2 2017 On the initial value problem for causal variational principles. Zbl 1365.49044 Finster, Felix; Grotz, Andreas 2 2017 The fermionic signature operator and space-time symmetries. Zbl 07430960 Finster, Felix; Reintjes, Moritz 2 2018 Local algebras for causal fermion systems in Minkowski space. Zbl 1458.81029 Finster, Felix; Oppio, Marco 2 2020 Positive functionals induced by minimizers of causal variational principles. Zbl 1419.49056 Finster, Felix 2 2019 The fermionic signature operator in the exterior Schwarzschild geometry. Zbl 1431.81064 Finster, Felix; Röken, Christian 2 2019 Two-dimensional area and matter flux in the theory of causal fermion systems. Zbl 1457.81133 Curiel, Erik; Finster, Felix; Isidro, José M. 2 2020 Progress and visions in quantum theory in view of gravity: bridging foundations of physics and mathematics. Selected talks presented at the seventh international conference, Leipzig, Germany, October 1–5, 2018. Zbl 1446.83001 2 2020 The principle of the fermionic projector: an approach for quantum gravity? Zbl 1120.83017 Finster, Felix 1 2007 A weighted \(L^2\)-estimate of the Witten spinor in asymptotically Schwarzschild manifolds. Zbl 1133.58304 Finster, Felix; Kraus, Margarita 1 2007 The chiral index of the fermionic signature operator. Zbl 1385.81036 Finster, Felix 1 2017 The interaction of Dirac particles with non-abelian gauge fields and gravity – black holes. Zbl 0971.83037 Finster, Felix; Smoller, Joel; Yau, Shing-Tung 1 2000 Some recent progress in classical general relativity. Zbl 0984.83003 Finster, Felix; Smoller, Joel; Yau, Shing-Tung 1 2000 Some curvature problems in semi-Riemannian geometry. Zbl 1252.53082 Finster, Felix; Nardmann, Marc 1 2012 Absence of zeros and asymptotic error estimates for Airy and parabolic cylinder functions. Zbl 1293.33005 Finster, Felix; Smoller, Joel 1 2014 A spatially homogeneous and isotropic Einstein-Dirac cosmology. Zbl 1316.83031 Finster, Felix; Hainzl, Christian 1 2011 A notion of entropy for causal fermion systems. Zbl 1476.49057 Finster, Felix 1 2021 Construction of global solutions to the linearized field equations for causal variational principles. Zbl 07786186 Finster, Felix; Kraus, Margarita 1 2024 A positive mass theorem for static causal fermion systems. Zbl 1507.83013 Finster, Felix; Platzer, Andreas 1 2021 Stationary spacetimes and self-adjointness in Klein-Gordon theory. Zbl 1434.53025 Finster, Felix; Much, Albert; Oeckl, Robert 1 2020 A mechanism for dark matter and dark energy in the theory of causal fermion systems. Zbl 1521.83066 Finster, Felix; Isidro, José M. 1 2023 Construction of global solutions to the linearized field equations for causal variational principles. Zbl 07786186 Finster, Felix; Kraus, Margarita 1 2024 A mechanism for dark matter and dark energy in the theory of causal fermion systems. Zbl 1521.83066 Finster, Felix; Isidro, José M. 1 2023 Fermionic Fock spaces and quantum states for causal fermion systems. Zbl 1495.81108 Finster, Felix; Kamran, Niky 3 2022 A mechanism of baryogenesis for causal fermion systems. Zbl 1500.83031 Finster, Felix; Jokel, Maximilian; Paganini, Claudio F. 3 2022 Complex structures on jet spaces and bosonic Fock space dynamics for causal variational principles. Zbl 1479.58018 Finster, Felix; Kamran, Niky 12 2021 Banach manifold structure and infinite-dimensional analysis for causal fermion systems. Zbl 1471.58003 Finster, Felix; Lottner, Magdalena 7 2021 The linear dynamics of wave functions in causal fermion systems. Zbl 1472.81334 Finster, Felix; Kamran, Niky; Oppio, Marco 5 2021 Causal fermion systems and the ETH approach to quantum theory. Zbl 1475.83003 Finster, Felix; Fröhlich, Jürg; Oppio, Marco; Paganini, Claudio F. 4 2021 A notion of entropy for causal fermion systems. Zbl 1476.49057 Finster, Felix 1 2021 A positive mass theorem for static causal fermion systems. Zbl 1507.83013 Finster, Felix; Platzer, Andreas 1 2021 Linearized fields for causal variational principles: existence theory and causal structure. Zbl 1451.35005 Dappiaggi, Claudio; Finster, Felix 9 2020 The fermionic signature operator in De Sitter spacetime. Zbl 1436.81163 Dappiaggi, Claudio; Finster, Felix; Murro, Simone; Radici, Emanuela 9 2020 Perturbation theory for critical points of causal variational principles. Zbl 07435483 Finster, Felix 8 2020 A gauge fixing procedure for causal fermion systems. Zbl 1454.81143 Finster, Felix; Kindermann, Sebastian 6 2020 The causal action in Minkowski space and surface layer integrals. Zbl 1458.83003 Finster, Felix 6 2020 The regularized Hadamard expansion. Zbl 1450.35229 Finster, Felix; Kraus, Margarita 4 2020 Local algebras for causal fermion systems in Minkowski space. Zbl 1458.81029 Finster, Felix; Oppio, Marco 2 2020 Two-dimensional area and matter flux in the theory of causal fermion systems. Zbl 1457.81133 Curiel, Erik; Finster, Felix; Isidro, José M. 2 2020 Progress and visions in quantum theory in view of gravity: bridging foundations of physics and mathematics. Selected talks presented at the seventh international conference, Leipzig, Germany, October 1–5, 2018. Zbl 1446.83001 2 2020 Stationary spacetimes and self-adjointness in Klein-Gordon theory. Zbl 1434.53025 Finster, Felix; Much, Albert; Oeckl, Robert 1 2020 Singular support of minimizers of the causal variational principle on the sphere. Zbl 1429.49047 Bäuml, Lucia; Finster, Felix; Schiefeneder, Daniela; von der Mosel, Heiko 6 2019 Spinors on singular spaces and the topology of causal fermion systems. Zbl 1445.53001 Finster, Felix; Kamran, Niky 5 2019 A class of conserved surface layer integrals for causal variational principles. Zbl 1433.49011 Finster, Felix; Kleiner, Johannes 4 2019 Positive functionals induced by minimizers of causal variational principles. Zbl 1419.49056 Finster, Felix 2 2019 The fermionic signature operator in the exterior Schwarzschild geometry. Zbl 1431.81064 Finster, Felix; Röken, Christian 2 2019 Linear stability of the non-extreme Kerr black hole. Zbl 1387.83045 Finster, Felix; Smoller, Joel 11 2018 An integral spectral representation of the massive Dirac propagator in the Kerr geometry in Eddington-Finkelstein-type coordinates. Zbl 1480.81058 Finster, Felix; Röken, Christian 4 2018 Correction to: “Gupta-Bleuler quantization of the Maxwell field in globally hyperbolic space-times”. Zbl 1380.81456 Finster, Felix; Strohmaier, Alexander 3 2018 The fermionic signature operator and space-time symmetries. Zbl 07430960 Finster, Felix; Reintjes, Moritz 2 2018 A Hamiltonian formulation of causal variational principles. Zbl 1375.49060 Finster, Felix; Kleiner, Johannes 17 2017 The fermionic signature operator and quantum states in Rindler space-time. Zbl 1366.81240 Finster, Felix; Murro, Simone; Röken, Christian 10 2017 The fermionic signature operator and Hadamard states in the presence of a plane electromagnetic wave. Zbl 1368.81150 Finster, Felix; Reintjes, Moritz 6 2017 \(L^p\)-spectrum of the Schrödinger operator with inverted harmonic oscillator potential. Zbl 1372.81056 Finster, Felix; Isidro, José M. 2 2017 On the initial value problem for causal variational principles. Zbl 1365.49044 Finster, Felix; Grotz, Andreas 2 2017 The chiral index of the fermionic signature operator. Zbl 1385.81036 Finster, Felix 1 2017 The continuum limit of causal fermion systems. From Planck scale structures to macroscopic physics. Zbl 1353.81001 Finster, Felix 38 2016 The fermionic projector in a time-dependent external potential: mass oscillation property and Hadamard states. Zbl 1345.81033 Finster, Felix; Murro, Simone; Röken, Christian 17 2016 Noether-like theorems for causal variational principles. Zbl 1337.49076 Finster, Felix; Kleiner, Johannes 12 2016 A non-perturbative construction of the fermionic projector on globally hyperbolic manifolds. II: space-times of infinite lifetime. Zbl 1361.83004 Finster, Felix; Reintjes, Moritz 9 2016 Lorentzian spectral geometry for globally hyperbolic surfaces. Zbl 1360.58014 Finster, Felix; Müller, Olaf 8 2016 Self-adjointness of the Dirac Hamiltonian for a class of non-uniformly elliptic boundary value problems. Zbl 1386.35042 Finster, Felix; Röken, Christian 7 2016 Causal fermion systems: an overview. Zbl 1336.81002 Finster, Felix 4 2016 Gupta-Bleuler quantization of the Maxwell field in globally hyperbolic space-times. Zbl 1321.81063 Finster, Felix; Strohmaier, Alexander 13 2015 A non-perturbative construction of the fermionic projector on globally hyperbolic manifolds. I: Space-times of finite lifetime. Zbl 1338.83032 Finster, Felix; Reintjes, Moritz 11 2015 On the structure of minimizers of causal variational principles in the non-compact and equivariant settings. Zbl 1281.49039 Bernard, Yann; Finster, Felix 13 2014 Perturbative quantum field theory in the framework of the fermionic projector. Zbl 1295.81111 Finster, Felix 10 2014 Perturbative description of the fermionic projector: normalization, causality, and Furry’s theorem. Zbl 1295.81112 Finster, Felix; Tolksdorf, Jürgen 6 2014 Absence of zeros and asymptotic error estimates for Airy and parabolic cylinder functions. Zbl 1293.33005 Finster, Felix; Smoller, Joel 1 2014 On the support of minimizers of causal variational principles. Zbl 1306.49060 Finster, Felix; Schiefeneder, Daniela 18 2013 A Lorentzian quantum geometry. Zbl 1346.82002 Finster, Felix; Grotz, Andreas 14 2012 Causal fermion systems: a quantum space-time emerging from an action principle. Zbl 1246.81174 Finster, Felix; Grotz, Andreas; Schiefeneder, Daniela 11 2012 Bosonic loop diagrams as perturbative solutions of the classical field equations in \(\phi^4\)-theory. Zbl 1276.70020 Finster, Felix; Tolksdorf, Jürgen 3 2012 Some curvature problems in semi-Riemannian geometry. Zbl 1252.53082 Finster, Felix; Nardmann, Marc 1 2012 A formulation of quantum field theory realizing a sea of interacting Dirac particles. Zbl 1231.81063 Finster, Felix 11 2011 A spatially homogeneous and isotropic Einstein-Dirac cosmology. Zbl 1316.83031 Finster, Felix; Hainzl, Christian 1 2011 Causal variational principles on measure spaces. Zbl 1213.49006 Finster, Felix 20 2010 Entanglement and second quantization in the framework of the fermionic projector. Zbl 1207.81011 Finster, Felix 6 2010 Quantum oscillations can prevent the big bang singularity in an Einstein-Dirac cosmology. Zbl 1185.83030 Finster, Felix; Hainzl, Christian 5 2010 The causal perturbation expansion revisited: rescaling the interacting Dirac sea. Zbl 1311.81253 Finster, Felix; Grotz, Andreas 5 2010 A level set analysis of the Witten spinor with applications to curvature estimates. Zbl 1178.53045 Finster, Felix 12 2009 A rigorous treatment of energy extraction from a rotating black hole. Zbl 1200.83068 Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T. 11 2009 Decay of solutions of the Teukolsky equation for higher spin in the Schwarzschild geometry. Zbl 1178.81205 Finster, Felix; Smoller, Joel 7 2009 The Dirac equation and the normalization of its solutions in a closed Friedmann-Robertson-Walker universe. Zbl 1166.83019 Finster, Felix; Reintjes, Moritz 6 2009 Linear waves in the Kerr geometry: a mathematical voyage to black hole physics. Zbl 1177.83082 Finster, Felix; Kamran, Niky; Smoller, Joel; Yau, Shing-Tung 4 2009 An action principle for the masses of Dirac particles. Zbl 1202.81223 Finster, Felix; Hoch, Stefan 4 2009 From discrete space-time to Minkowski space: basic mechanisms, methods and perspectives. Zbl 1166.83005 Finster, Felix 3 2009 Erratum: Decay of solutions of the wave equation in the Kerr geometry. Zbl 1194.83014 Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T. 16 2008 On the regularized fermionic projector of the vacuum. Zbl 1153.81358 Finster, Felix 9 2008 A time-independent energy estimate for outgoing scalar waves in the Kerr geometry. Zbl 1180.35524 Finster, Felix; Smoller, Joel 7 2008 Fermion systems in discrete space-time exemplifying the spantaneous generation of a causal structure. Zbl 1159.83308 Diethert, A.; Finster, F.; Schiefeneder, D. 3 2008 A variational principle in discrete space-time: existence of minimizers. Zbl 1131.49031 Finster, Felix 13 2007 Fermion systems in discrete space-time – outer symmetries and spontaneous symmetry breaking. Zbl 1138.81043 Finster, Felix 4 2007 The principle of the fermionic projector: an approach for quantum gravity? Zbl 1120.83017 Finster, Felix 1 2007 A weighted \(L^2\)-estimate of the Witten spinor in asymptotically Schwarzschild manifolds. Zbl 1133.58304 Finster, Felix; Kraus, Margarita 1 2007 Decay of solutions of the wave equation in the Kerr geometry. Zbl 1194.83015 Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T. 59 2006 The principle of the fermionic projector. Zbl 1090.83002 Finster, Felix 21 2006 Spectral estimates and non-selfadjoint perturbations of spheroidal wave operators. Zbl 1124.34060 Finster, Felix; Schmid, Harald 4 2006 An integral spectral representation of the propagator for the wave equation in the Kerr geometry. Zbl 1089.83017 Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T. 14 2005 Curvature estimates in asymptotically flat Lorentzian manifolds. Zbl 1083.53064 Finster, Felix; Kraus, Margarita 2 2005 Decay rates and probability estimates for massive Dirac particles in the Kerr-Newman black hole geometry. Zbl 1026.83029 Finster, F.; Kamran, N.; Smoller, J.; Yau, S.-T. 24 2002 Curvature estimates and the positive mass theorem. Zbl 1030.53041 Bray, Hubert; Finster, Felix 15 2002 Curvature estimates in asymptotically flat manifolds of positive scalar curvature. Zbl 1041.53027 Finster, Felix; Kath, Ines 11 2002 Hypersurfaces of prescribed Gauß curvature in exterior domains. Zbl 1087.35044 Finster, Felix; Schnürer, Oliver C. 3 2002 Nonexistence of time-periodic solutions of the Dirac equation in an axisymmetric black hole geometry. Zbl 1049.83014 Finster, Felix; Kamran, Niky; Smoller, Joel; Yau, Shing-Tung 26 2000 Non-existence of time-periodic solutions of the Dirac equation in a Reissner- Nordström black hole background. Zbl 0983.83021 Finster, Felix; Smoller, Joel; Yau, Shing-Tung 17 2000 Light-cone expansion of the Dirac sea in the presence of chiral and scalar potentials. Zbl 0971.81102 Finster, Felix 11 2000 Erratum: ”Nonexistence of time-periodic solutions of the Dirac equation in an axisymmetric black hole geometry”. Zbl 1049.83015 Finster, Felix; Kamran, Niky; Smoller, Joel; Yau, Shing-Tung 6 2000 Absence of static, spherically symmetric black hole solutions for Einstein-Dirac-Yang/Mills equations with complete fermion shells. Zbl 1016.83027 Finster, Felix; Smoller, Joel; Yau, Shing-Tung 3 2000 The interaction of Dirac particles with non-abelian gauge fields and gravity-bound states. Zbl 0984.81079 Finster, Felix; Smoller, Joel; Yau, Shing-Tung 2 2000 The interaction of Dirac particles with non-abelian gauge fields and gravity – black holes. Zbl 0971.83037 Finster, Felix; Smoller, Joel; Yau, Shing-Tung 1 2000 Some recent progress in classical general relativity. Zbl 0984.83003 Finster, Felix; Smoller, Joel; Yau, Shing-Tung 1 2000 Particle-like solutions of the Einstein-Dirac-Maxwell equations. Zbl 0936.83008 Finster, Felix; Smoller, Joel; Yau, Shing-Tung 20 1999 Non-existence of black hole solutions for a spherically symmetric, static Einstein-Dirac-Maxwell system. Zbl 0939.83037 Finster, Felix; Smoller, Joel; Yau, Shing-Tung 9 1999 Light-cone expansion of the Dirac sea to first order in the external potential. Zbl 0963.81019 Finster, Felix 4 1999 Definition of the Dirac sea in the presence of external fields. Zbl 0929.35123 Finster, Felix 14 1998 Local \(\text{U}(2,2)\) symmetry in relativistic quantum mechanics. Zbl 0935.81004 Finster, Felix 12 1998 all cited Publications top 5 cited Publications all top 5 Cited by 287 Authors 59 Finster, Felix 11 Murro, Simone 11 Smoller, Joel Alan 10 Yau, Shing-Tung 8 Kamran, Niky 6 Dappiaggi, Claudio 6 Ma, Siyuan 5 Dafermos, Mihalis 5 Häfner, Dietrich 5 Oppio, Marco 5 Rodnianski, Igor 5 Shlapentokh-Rothman, Yakov 4 Benini, Marco 4 Beyer, Horst Reinhard 4 Bilyk, Dmitry 4 Blue, Pieter 4 Drago, Nicolò 4 Gérard, Christian 4 Hintz, Peter 4 Isidro San Juan, José-Maria 4 Kiessling, Michael Karl-Heinz 4 Lee, Dan Archibald 4 Matzke, Ryan W. 4 Much, Albert 4 Neznamov, Vasily P. 4 Nicolas, Jean-Philippe 4 Paganini, Claudio F. 4 Röken, Christian 4 Tahvildar-Zadeh, A. Shadi 4 Vlasiuk, Oleksandr V. 4 Wrochna, Michał 3 Al Badawi, Ahmad 3 Allen, Brian Daniel 3 Deckert, Dirk-André 3 Donninger, Roland 3 Dyatlov, Semyon 3 Fewster, Christopher John 3 Ginoux, Nicolas 3 Glazyrin, Alexey 3 Hainzl, Christian 3 Kleiner, Johannes 3 Langer, Christoph 3 Merkl, Franz 3 Park, Josiah 3 Schiefeneder, Daniela 3 Schlag, Wilhelm 3 Soffer, Avraham 3 Sormani, Christina 3 Strohmaier, Alexander 3 Tataru, Daniel 3 Tohaneanu, Mihai 3 Tumulka, Roderich 3 Vasy, András 3 Wald, Robert M. 3 Zhang, Lin 2 Alcubierre, Miguel 2 Andersson, Lars Åke 2 Aretakis, Stefanos 2 Cabrera Pacheco, Armando J. 2 Daudé, Thierry 2 Dzhunushaliev, Vladimir 2 Fabbri, Luca 2 Franco, Nicolas 2 Fröhlich, Jürg Martin 2 Galstian, Anahit 2 Gorbatenko, Mikhail V. 2 Große, Nadine 2 Grotz, Andreas 2 Hack, Thomas-Paul 2 Huang, Lan-Hsuan 2 Hung, Pei-Ken 2 Keller, Jordan 2 Kunzinger, Michael 2 Lewin, Mathieu 2 Lottner, Magdalena 2 Maalaoui, Ali 2 Martino, Vittorio 2 Megevand, Miguel 2 Metcalfe, Jason L. 2 Mondino, Andrea 2 Nicoleau, François 2 Nodari, Simona Rota 2 Prabhu, Kartik 2 Sakovich, Anna 2 Sämann, Clemens 2 Schenkel, Alexander 2 Séré, Eric 2 Suhr, Stefan 2 Tolksdorf, Jürgen 2 Volpe, Daniele 2 Wallet, Jean-Christophe 2 Wang, Mu-Tao 2 Wang, Zhigang 2 Yagdjian, Karen 2 Zhang, Xiao 1 Alaee, Aghil 1 Alexakis, Spyros 1 Álvarez-Domínguez, Álvaro 1 Ammann, Bernd Eberhard 1 Andréasson, Håkan ...and 187 more Authors all top 5 Cited in 79 Serials 34 Journal of Mathematical Physics 28 Communications in Mathematical Physics 23 Annales Henri Poincaré 10 Classical and Quantum Gravity 10 Letters in Mathematical Physics 9 General Relativity and Gravitation 7 Journal of Geometry and Physics 7 Calculus of Variations and Partial Differential Equations 7 Journal of High Energy Physics 5 Journal of Mathematical Analysis and Applications 5 Advances in Mathematics 5 Journal of Differential Equations 5 Annals of Global Analysis and Geometry 5 Annals of PDE 4 Reviews in Mathematical Physics 4 Journal of Functional Analysis 4 Journal für die Reine und Angewandte Mathematik 3 Archive for Rational Mechanics and Analysis 3 Physics Letters. 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Mathematical, Physical and Engineering Sciences 1 Pure and Applied Analysis 1 Probability and Mathematical Physics all top 5 Cited in 40 Fields 163 Relativity and gravitational theory (83-XX) 127 Quantum theory (81-XX) 112 Partial differential equations (35-XX) 69 Differential geometry (53-XX) 43 Global analysis, analysis on manifolds (58-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 17 Functional analysis (46-XX) 14 Operator theory (47-XX) 10 Mechanics of particles and systems (70-XX) 6 Optics, electromagnetic theory (78-XX) 6 Astronomy and astrophysics (85-XX) 5 Measure and integration (28-XX) 5 Potential theory (31-XX) 5 Ordinary differential equations (34-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Geometry (51-XX) 4 General topology (54-XX) 4 Statistics (62-XX) 3 Manifolds and cell complexes (57-XX) 3 Fluid mechanics (76-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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