Felix Finster
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German mathematician
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Why Is Felix Finster Influential?
(Suggest an Edit or Addition)According to Wikipedia, Felix Finster is a German mathematician working on problems in mathematical physics, geometry and analysis. Life and work Finster studied physics and mathematics at Heidelberg University, where he graduated in 1992 with Franz Wegner and Claus Gerhardt. In 1992–1995 he wrote his PhD thesis at ETH Zürich with Konrad Osterwalder. In 1996–1998 he was post-doc at Harvard University. From 1998–2002 he was member of the Max Planck Institute for Mathematics in the Sciences in Leipzig. He got his habilitation in 2000 at Leipzig University. Since 2002 he is full professor of mathematics at the University of Regensburg.
Felix Finster's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Decay of Solutions of the Wave Equation in the Kerr Geometry (2005) (129)
- The long-time dynamics of Dirac particles in the Kerr-Newman black hole geometry (2000) (81)
- Particlelike solutions of the Einstein-Dirac equations (1998) (78)
- Non-existence of time-periodic solutions of the Dirac equation in a Reissner-Nordström black hole background (1998) (72)
- The Principle of the Fermionic Projector (2006) (69)
- The Continuum Limit of Causal Fermion Systems (2016) (68)
- Causal fermion systems as a candidate for a unified physical theory (2015) (63)
- Nonexistence of time‐periodic solutions of the Dirac equation in an axisymmetric black hole geometry (1999) (60)
- Decay Rates and Probability Estimates¶for Massive Dirac Particles¶in the Kerr–Newman Black Hole Geometry (2001) (58)
- Local U(2,2) symmetry in relativistic quantum mechanics (1997) (53)
- Curvature Estimates and the Positive Mass Theorem (1999) (48)
- Particle-Like Solutions of the Einstein-Dirac-Maxwell Equations (1998) (47)
- Causal variational principles on measure spaces (2008) (46)
- Progress and Visions in Quantum Theory in View of Gravity (2020) (45)
- Non-Existence of Black Hole Solutions¶for a Spherically Symmetric, Static Einstein–Dirac–Maxwell System (1998) (41)
- A variational principle in discrete space–time: existence of minimizers (2005) (39)
- A Non-Perturbative Construction of the Fermionic Projector on Globally Hyperbolic Manifolds II - Space-Times of Infinite Lifetime (2013) (37)
- Causal Fermion Systems: A Primer for Lorentzian Geometers (2017) (36)
- The fermionic projector in a time-dependent external potential: Mass oscillation property and Hadamard states (2015) (36)
- On the Support of Minimizers of Causal Variational Principles (2010) (36)
- Causal Fermion Systems: A Quantum Space-Time Emerging From an Action Principle (2011) (35)
- A Formulation of Quantum Field Theory Realizing a Sea of Interacting Dirac Particles (2009) (34)
- Quantum field theory and gravity : conceptual and mathematical advances in the search for a unified framework (2012) (34)
- Definition of the Dirac sea in the presence of external fields (1997) (33)
- Gupta–Bleuler Quantization of the Maxwell Field in Globally Hyperbolic Space-Times (2013) (33)
- On the structure of minimizers of causal variational principles in the non-compact and equivariant settings (2012) (32)
- Light-cone expansion of the Dirac sea in the presence of chiral and scalar potentials (1998) (31)
- Curvature estimates in asymptotically flat manifolds of positive scalar curvature (2001) (31)
- An Integral Spectral Representation of the Propagator for the Wave Equation in the Kerr Geometry (2003) (30)
- A Hamiltonian formulation of causal variational principles (2016) (29)
- Noether-like theorems for causal variational principles (2015) (27)
- Erratum: Decay of solutions of the wave equation in the kerr geometry (Communications in Mathematical Physics (2006) 264 (465-503 ) doi:10.1007/s00220-006-1525-8) (2008) (27)
- Complex structures on jet spaces and bosonic Fock space dynamics for causal variational principles (2018) (27)
- Quantum Mathematical Physics (2016) (25)
- On the regularized fermionic projector of the vacuum (2006) (25)
- A Rigorous Treatment of Energy Extraction from a Rotating Black Hole (2007) (25)
- Quantum Field Theory and Gravity (2012) (25)
- Linear Stability of the Non-Extreme Kerr Black Hole (2016) (24)
- Decay of solutions of the Teukolsky equation for higher spin in the Schwarzschild geometry (2006) (24)
- A Level Set Analysis of the Witten Spinor with Applications to Curvature Estimates (2007) (23)
- Linear waves in the Kerr geometry: A mathematical voyage to black hole physics (2008) (23)
- Perturbation theory for critical points of causal variational principles (2017) (22)
- Perturbative quantum field theory in the framework of the fermionic projector (2013) (22)
- Causal Fermion Systems: An Elementary Introduction to Physical Ideas and Mathematical Concepts (2019) (22)
- The interaction of Dirac particles with non-abelian gauge fields and gravity – bound states (2000) (21)
- The fermionic signature operator and quantum states in Rindler space-time (2016) (19)
- Entanglement and second quantization in the framework of the fermionic projector (2009) (19)
- Perturbative description of the fermionic projector: normalization, causality and Furry's theorem (2014) (19)
- The Dirac equation and the normalization of its solutions in a closed Friedmann– Robertson–Walker universe (2009) (19)
- Self-Adjointness of the Dirac Hamiltonian for a Class of Non-Uniformly Elliptic Boundary Value Problems (2015) (18)
- Linearized fields for causal variational principles: existence theory and causal structure (2018) (18)
- Spectral estimates and non-selfadjoint perturbations of spheroidal wave operators (2004) (18)
- A Time Independent Energy Estimate for Outgoing Scalar Waves in the Kerr Geometry (2007) (17)
- The interaction of Dirac particles with non-abelian gauge fields and gravity---black holes. (1999) (17)
- Light-cone expansion of the Dirac sea to first order in the external potential. (1997) (17)
- Fermion systems in discrete space-time-outer symmetries and spontaneous symmetry breaking (2006) (16)
- THE CAUSAL PERTURBATION EXPANSION REVISITED: RESCALING THE INTERACTING DIRAC SEA (2009) (16)
- LORENTZIAN SPECTRAL GEOMETRY FOR GLOBALLY HYPERBOLIC SURFACES (2014) (16)
- Absence of Static, Spherically Symmetric Black Hole Solutions for Einstein-Dirac-Yang/Mills Equations with Complete Fermion Shells (2000) (15)
- An Action Principle for the Masses of Dirac Particles (2007) (15)
- The Coupling of Gravity to Spin and Electromagnetism (1999) (15)
- The fermionic signature operator in de Sitter spacetime (2019) (14)
- A class of conserved surface layer integrals for causal variational principles (2018) (14)
- A gauge fixing procedure for causal fermion systems (2019) (13)
- An Action Principle for an Interacting Fermion System and Its Analysis in the Continuum Limit (2009) (13)
- The Causal Action in Minkowski Space and Surface Layer Integrals (2017) (13)
- The Principle of the Fermionic Projector: An Approach for Quantum Gravity? (2006) (12)
- Banach manifold structure and infinite-dimensional analysis for causal fermion systems (2021) (12)
- Causal variational principles in the σ-locally compact setting: Existence of minimizers (2020) (12)
- From Discrete Space-Time to Minkowski Space: Basic Mechanisms, Methods and Perspectives (2007) (12)
- Causal Fermion Systems: Discrete Space-Times, Causation and Finite Propagation Speed (2018) (11)
- The Continuum Limit of a Fermion System Involving Leptons and Quarks: Strong, Electroweak and Gravitational Interactions (2014) (11)
- The Fermionic Projector, entanglement and the collapse of the wave function (2010) (10)
- Spinors on Singular Spaces and the Topology of Causal Fermion Systems (2014) (10)
- Fermion Systems in Discrete Space-Time Exemplifying the Spontaneous Generation of a Causal Structure (2007) (10)
- Quantum Oscillations Can Prevent the Big Bang Singularity in an Einstein-Dirac Cosmology (2008) (10)
- The Continuum Limit of a Fermion System Involving Neutrinos: Weak and Gravitational Interactions (2012) (10)
- Lp-spectrum of the Schrödinger operator with inverted harmonic oscillator potential (2017) (9)
- Design and Characterization of a Gradient-Transparent RF Copper Shield for PET Detector Modules in Hybrid MR-PET Imaging (2017) (9)
- Light-Cone Expansion of the Dirac Sea with Light Cone Integrals (1997) (8)
- The Fermionic Signature Operator and Hadamard States in the Presence of a Plane Electromagnetic Wave (2016) (8)
- Causal Fermion Systems -- An Overview (2015) (8)
- The linear dynamics of wave functions in causal fermion systems (2021) (8)
- Summing over Spacetime Dimensions in Quantum Gravity (2019) (8)
- Two-dimensional area and matter flux in the theory of causal fermion systems (2019) (8)
- Fermionic Fock Spaces and Quantum States for Causal Fermion Systems (2021) (7)
- Singular support of minimizers of the causal variational principle on the sphere (2018) (7)
- A Spectral Representation for Spin-Weighted Spheroidal Wave Operators with Complex Aspherical Parameter (2015) (7)
- Derivation of Field Equations from the Principle of the Fermionic Projector (1996) (7)
- The principle of the fermionic projector I, introduction and continuum limit (2000) (7)
- A new PET detector concept for compact preclinical high-resolution hybrid MR-PET (2018) (7)
- Absence of zeros and asymptotic error estimates for airy and parabolic cylinder functions (2012) (6)
- An integral representation for the massive Dirac propagator in Kerr geometry in Eddington-Finkelstein-type coordinates (2016) (6)
- Decay of Solutions of the Wave Equation in the Kerr Geometry (2008) (6)
- The regularized Hadamard expansion (2017) (6)
- Error Estimates for Approximate Solutions of the Riccati Equation with Real or Complex Potentials (2008) (6)
- Dynamical gravitational coupling as a modified theory of general relativity (2016) (6)
- Absence of stationary, spherically symmetric black hole solutions for Einstein-Dirac-Yang/Mills equations with angular momentum (2000) (6)
- Curvature Estimates in Asymptotically Flat Lorentzian Manifolds (2003) (6)
- Causal fermion systems and the ETH approach to quantum theory (2020) (6)
- Derivation of Local Gauge Freedom from a Measurement Principle (1997) (5)
- Linear stability of the Schwarzschild black hole under electromagnetic and gravitational perturbations (2006) (5)
- A positive mass theorem for static causal fermion systems (2019) (5)
- Bosonic Loop Diagrams as Perturbative Solutions of the Classical Field Equations in ϕ4-Theory (2012) (5)
- Positive Functionals Induced by Minimizers of Causal Variational Principles (2017) (5)
- Local algebras for causal fermion systems in Minkowski space (2020) (4)
- Fermion Systems in Discrete Space-Time (2006) (4)
- The Principle of the Fermionic Projector II, Derivation of the Effective Gauge Group (2002) (4)
- Refined error estimates for the Riccati equation with applications to the angular Teukolsky equation (2013) (4)
- Non-Existence of Black Hole Solutions to Static, Spherically Symmetric Einstein-Dirac Systems - a Critical Discussion (2002) (4)
- On the initial value problem for causal variational principles (2013) (4)
- Hypersurfaces of prescribed Gauß curvature in exterior domains (2001) (4)
- Gupta–Bleuler Quantization of the Maxwell Field in Globally Hyperbolic Space-Times (2015) (4)
- The Chiral index of the fermionic signature operator (2014) (4)
- The Principle of the Fermionic Projector: A New Variational Principle in Space-Time (2005) (4)
- Correction to: Gupta–Bleuler Quantization of the Maxwell Field in Globally Hyperbolic Space-Times (2018) (3)
- Stationary spacetimes and self-adjointness in Klein–Gordon theory (2019) (3)
- The continuum limit (2006) (3)
- Construction of Global Solutions to the Linearized Field Equations for Causal Variational Principles (2022) (3)
- A notion of entropy for causal fermion systems (2021) (3)
- On Global Hyperbolicity of Spacetimes: Some Recent Advances and Open Problems (2021) (3)
- A Weighted ${{L}^{2}}$ -Estimate of the Witten Spinor in Asymptotically Schwarzschild Manifolds (2005) (3)
- A mechanism of baryogenesis for causal fermion systems (2021) (3)
- A spatially homogeneous and isotropic Einstein–Dirac cosmology (2011) (3)
- The Fermionic Signature Operator and Space-Time Symmetries (2017) (3)
- Some recent progress in classical general relativity (2000) (3)
- The Fermionic Signature Operator in the Exterior Schwarzschild Geometry (2018) (3)
- A lattice model for the fermionic projector in a static and isotropic spacetime (2007) (3)
- Some Curvature Problems in Semi-Riemannian Geometry (2010) (3)
- Linear Stability of Rotating Black Holes: Outline of the Proof (2016) (3)
- A mechanism for dark matter and dark energy in the theory of causal fermion systems (2022) (2)
- On Global Hyperbolicity of Spacetimes: Topology Meets Functional Analysis (2021) (2)
- A Positive Mass Theorem for Causal Fermion Systems (2019) (2)
- Modified Measures as an Effective Theory for Causal Fermion Systems (2023) (2)
- A Hamiltonian formulation of causal variational principles (2017) (1)
- The Euler-Lagrange equations in the vacuum (2006) (1)
- Entangled Quantum States of Causal Fermion Systems and Unitary Group Integrals (2022) (1)
- Incompatibility of Frequency Splitting and Spatial Localization: A Quantitative Analysis of Hegerfeldt’s Theorem (2020) (1)
- The homogeneous causal action principle on a compact domain in momentum space (2022) (1)
- Node Theorem for Matrix Schroedinger Operators (1996) (1)
- Ground State Structure of a Coupled 2-Fermion System in Supersymmetric Quantum Mechanics (1996) (1)
- Causal fermion systems: Classical gravity and beyond (2021) (1)
- The Principle of the Fermionic Projector, Chapters 5-8 (2000) (1)
- Elliptic methods for solving the linearized field equations of causal variational principles (2021) (1)
- The Einstein-Dirac-Maxwell Equations - Black Hole Solutions (1999) (1)
- Linear bosonic quantum field theories arising from causal variational principles (2021) (1)
- Lectures on Linear Stability of Rotating Black Holes (2018) (1)
- Correction to: Gupta–Bleuler Quantization of the Maxwell Field in Globally Hyperbolic Space-Times (2017) (1)
- Mathematik in den Naturwissenschaften Leipzig Making waves : Pattern formation by a cell surface-associated signal (2005) (1)
- The Fermionic Signature Operator and Hadamard States in the Presence of a Plane Electromagnetic Wave (2017) (0)
- Mathematik Some curvature problems in semi-Riemannian geometry (2010) (0)
- Witten Spinor in Asymptotically Schwarzschild Manifolds (2005) (0)
- The dynamical gauge group (2006) (0)
- J un 1 99 9 Curvature Estimates and the Positive Mass Theorem (2009) (0)
- The effective gauge group (2006) (0)
- The Principle of the Fermionic Projector, Appendices (2002) (0)
- An Integral Representation for the Dirac Propagator in the Reissner-Nordstr\"om Geometry in Eddington-Finkelstein Coordinates (2023) (0)
- A class of conserved surface layer integrals for causal variational principles (2019) (0)
- The Principle of the Fermionic Projector III, Normalization of the Fermionic States (2002) (0)
- A Canonical Complex Structure and the Bosonic Signature Operator for Scalar Fields in Globally Hyperbolic Spacetimes (2021) (0)
- Mathematik Noether-like theorems for causal variational principles (2015) (0)
- Mathematik Casual fermion systems as a candidate for a unified physical theory (2015) (0)
- Solving the Linearized Field Equations of the Causal Action Principle in Minkowski Space (2023) (0)
- Erratum: Decay of solutions of the teukolsky equation for higher spin in the schwarzschild geometry [Class. Quantum Grav. 33 (2016), 085010]DOI:10.4310/ATMP.2009.v13.n1.a3 (2016) (0)
- F eb 2 01 6 NOETHER-LIKE THEOREMS FOR CAUSAL VARIATIONAL PRINCIPLES (0)
- Mathematik in den Naturwissenschaften Leipzig The Principle of the Fermionic Projector III , Normalization of the Fermionic States by Felix Finster Preprint (2003) (0)
- Positive Functionals Induced by Minimizers of Causal Variational Principles (2018) (0)
- Normalization of chiral fermions (2006) (0)
- The principle of the Fermionic projector–A new mathematical model of space-time (2006) (0)
- M ay 2 00 0 Curvature Estimates and the Positive Mass Theorem (2008) (0)
- Mathematik Self-adjointness of the Dirac Hamiltonian for a class of non-uniformly elliptic boundary value problems (2015) (0)
- Fermionic Fock Spaces and Quantum States for Causal Fermion Systems (2021) (0)
- On the Support of Minimizers of Causal Variational Principles (2013) (0)
- J un 2 00 7 Fermion Systems in Discrete Space-Time (2007) (0)
- Linear bosonic quantum field theories arising from causal variational principles (2022) (0)
- Some formulas of the light-cone expansion (2006) (0)
- Quantum mathematical physics : a bridge between mathematics and physics (2016) (0)
- 0 Ju n 20 03 Curvature Estimates in Asymptotically Flat Lorentzian Manifolds (2003) (0)
- O ct 2 00 0 Absence of Static , Spherically Symmetric Black Hole Solutions for Einstein-Dirac-Yang / Mills Equations with Angular Momentum of the Fermions (2000) (0)
- Perturbation calculation for the spectral decomposition of ( (2006) (0)
- Universität Regensburg Mathematik Lorentzian spectral geometry for globally hyperbolic surfaces (2014) (0)
- Numerical Analysis of the Causal Action Principle in Low Dimensions (2022) (0)
- Absence of Zeros and WKB Error Estimates for Airy and Parabolic Cylinder Functions (2012) (0)
- Spontaneous block formation (2006) (0)
- Linear stability of rotating black holes (2019) (0)
- Projector III, Normalization of the Fermionic States (2002) (0)
- Mathematik Linear stability of the non-extreme Kerr black hole (2016) (0)
- The Fermionic Entanglement Entropy of the Vacuum State of a Schwarzschild Black Hole Horizon (2023) (0)
- Noether-like theorems for causal variational principles (2016) (0)
- The regularized causal perturbation theory (2006) (0)
- 2 2 Se p 19 99 Curvature Estimates and the Positive Mass Theorem (2009) (0)
- Linear independence of the basic fractions (2006) (0)
- Universität Regensburg Mathematik A non-perturbative construction of the fermionic projector on globally hyperbolic manifolds II – space-time s of infinite lifetime (2014) (0)
- The Einstein-Dirac-Yang/Mills equations: Black holes (2001) (0)
- Connection to the Fock space formalism (2006) (0)
- The Fermionic projector in the continuum (2006) (0)
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