Antti Kupiainen
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Finnish mathematician and physicist
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Antti Kupiainenmathematics Degrees
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Measure Theory
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Mathematics Physics
Antti Kupiainen's Degrees
- PhD Physics University of Helsinki
- Masters Mathematics University of Helsinki
Why Is Antti Kupiainen Influential?
(Suggest an Edit or Addition)According to Wikipedia, Antti Kupiainen is a Finnish mathematical physicist. Education and career Kupiainen completed his undergraduate education in 1976 at the Technical University of Helsinki and received his Ph.D. in 1979 from Princeton University under Thomas C. Spencer with thesis Some rigorous results on the 1/n expansion. As a postdoc he spent the academic year 1979/80 at Harvard University and then did research at the University of Helsinki. He became a professor of mathematics in 1989 at Rutgers University and in 1991 at the University of Helsinki.
Antti Kupiainen's Published Works
Published Works
- Coset Construction from Functional Integrals (1989) (291)
- Renormalization Group and Asymptotics of Solutions of Nonlinear Parabolic Equations (1993) (209)
- G/h Conformal Field Theory from Gauged WZW Model (1988) (207)
- Liouville Quantum Gravity on the Riemann Sphere (2014) (191)
- Massless lattice φ44 theory: Rigorous control of a renormalizable asymptotically free model (1985) (178)
- Gross-Neveu model through convergent perturbation expansions (1985) (178)
- Spectra of Wess-Zumino-Witten models with arbitrary simple groups (1988) (145)
- Slow Modes in Passive Advection (1997) (144)
- Renormalization Group and Stochastic PDEs (2016) (143)
- Random walks in asymmetric random environments (1991) (128)
- Renormalization Group and the Ginzburg-Landau equation (1992) (119)
- Universality in blow-up for nonlinear heat equations (1993) (118)
- A rigorous block spin approach to massless lattice theories (1980) (111)
- High temperature expansions and dynamical systems (1995) (106)
- Block spin renormalization group for dipole gas and (∇φ)4 (1983) (102)
- Exponential Mixing of the 2D Stochastic Navier-Stokes Dynamics (2000) (102)
- Ergodicity of the 2D Navier--Stokes Equations¶with Random Forcing (2001) (89)
- Random conformal weldings (2009) (86)
- Integrability of Liouville theory: proof of the DOZZ formula (2017) (82)
- Coupled Analytic-maps (1994) (80)
- Renormalization Group Pathologies and the Definition of Gibbs States (1998) (66)
- KAM Theorem and Quantum Field Theory (1999) (58)
- On the 1/n expansion (1980) (53)
- Towards a Derivation of Fourier’s Law for Coupled Anharmonic Oscillators (2007) (51)
- Non-Gaussian fixed points of the block spin transformation. Hierarchical model approximation (1983) (48)
- Stability of moving fronts in the Ginzburg-Landau equation (1994) (47)
- Stability of Cahn-Hilliard fronts (1999) (46)
- Approach to Ground State and Time-Independent Photon Bound for Massless Spin-Boson Models (2011) (46)
- Lagrangian Dispersion in Gaussian Self-Similar Velocity Ensembles (2003) (44)
- Renormalizing partial differential equations (1995) (44)
- Non-trivial continuum limit of a π44 model with negative coupling constant (1985) (44)
- Infinite-dimensional SRB measures (1995) (43)
- Universality in turbulence: An exactly soluble model (1995) (43)
- The spectrum of Wess-Zumino-Witten models (1988) (42)
- Coarse-graining approach to first-order phase transitions (1987) (41)
- Probabilistic Estimates for the Two-Dimensional Stochastic Navier–Stokes Equations (1999) (40)
- SU(2) Chern-Simons theory at genus zero (1991) (37)
- Critical Mandelbrot Cascades (2012) (35)
- Renormalization of a non-renormalizable quantum field theory (1985) (35)
- Local Conformal Structure of Liouville Quantum Gravity (2015) (35)
- Basic properties of critical lognormal multiplicative chaos (2013) (35)
- ‘Return to Equilibrium’ for Weakly Coupled Quantum Systems: A Simple Polymer Expansion (2010) (33)
- The spectrum of weakly coupled map lattices (1998) (33)
- Renormalization of Generalized KPZ Equation (2016) (32)
- Scaling, Renormalization and Statistical Conservation Laws in the Kraichnan Model of Turbulent Advection (2006) (31)
- Renormalization Group and Stochastic PDE's (2014) (29)
- Renormalization group study of a critical lattice model (1981) (28)
- Lattice dipole gas and (▽φ)4 models at long distances: Decay of correlations and scaling limit (1984) (28)
- Scalar product of current blocks in WZW theory (1991) (26)
- Anomalous scaling for three‐dimensional Cahn‐Hilliard fronts (2005) (25)
- Analyticity of density of states in a gauge-invariant model for disordered electronic systems (1987) (25)
- Critical behaviour in a model of stationary flow and supersymmetry breaking (1986) (25)
- Phase Transition in the 3 d Random Field Ising Model (24)
- Asymptotic completeness for the massless spin-boson model (2013) (23)
- Random Walks in Space Time Mixing Environments (2008) (22)
- Random Curves by Conformal Welding (2009) (22)
- CONFORMAL BOOTSTRAP IN LIOUVILLE THEORY (2020) (22)
- Conformal Ward and BPZ Identities for Liouville quantum field theory (2015) (22)
- Nondeterministic Dynamics and Turbulent Transport (2003) (22)
- Renormalization Group study of a critical lattice model (1982) (21)
- Fourier's law from closure equations. (2006) (19)
- University in turbulence: An exactly solvable model (1995) (18)
- Stable nongaussian diffusive profiles (1996) (17)
- Renormalizability of Liouville Quantum Gravity at the Seiberg bound (2015) (17)
- Renormalization Group¶and the Melnikov Problem for PDE's (2001) (16)
- The DOZZ formula from the path integral (2018) (16)
- Rigorous Renormalization Group and Asymptotic Freedom (1983) (16)
- Continuum limit of the hierarchicalO(N) non-linear σ-model (1986) (15)
- Constructive Liouville Conformal Field Theory (2016) (14)
- What is the effective action in two dimensions (1987) (13)
- Renormalizability of Liouville quantum field theory at the Seiberg bound (2017) (13)
- The hierarchical random field Ising model (1988) (13)
- Non-Gaussian scaling limits. Hierarchical model approximation (1984) (12)
- Ergodicity of Two Dimensional Turbulence (2010) (12)
- Renormalization group for a critical lattice model (1983) (12)
- Renormalizing the renormalization group pathologies (2001) (11)
- 1/n expansion for a Quantum Field Model (1980) (10)
- Dimensional Reduction of Symmetries (1983) (10)
- Segal's axioms and bootstrap for Liouville Theory (2021) (9)
- Towards rigorous analysis of the Levitov–Mirlin–Evers recursion (2015) (8)
- Diffusion for a Quantum Particle Coupled to Phonons in d ≥ 3 (2013) (8)
- Diffusion in Energy Conserving Coupled Maps (2011) (8)
- The KAM theorem and renormalization group (2007) (8)
- Approach to Equilibrium for the Phonon Boltzmann Equation (2007) (7)
- Rigorous renormalisation group and disordered systems (1990) (7)
- On the derivation of Fourier's law for coupled anharmonic oscillators (2006) (7)
- Minimal Velocity Estimates and Soft Mode Bounds for the Massless Spin-Boson Model (2013) (6)
- Innnite Dimensional Srb Measures (1995) (5)
- Fluctuation relation for qubit calorimetry. (2016) (5)
- Anomalous scaling for 3d Cahn-Hilliard fronts (2004) (4)
- Stable Non-gaussian Diiusive Prooles (1995) (4)
- Lessons for Turbulence (2010) (4)
- 1/N expansion-some rigorous results (1980) (3)
- Liouville Quantum Gravity on the Riemann Sphere (2016) (3)
- Continuum Limit of the Hierarchical O(N) Non-Linear σ-Model (2004) (3)
- Quantum Fields and Probability (2016) (3)
- Lagrangian dispersion in Gaussian self-similar ensembles (2003) (3)
- Borel summability of the perturbation series in a hierarchical λ(▽φ)4 model (1984) (3)
- Energy fluctuations of a finite free-electron Fermi gas. (2016) (2)
- Quark confinement in disordered vacuum (1983) (2)
- On the Derivation of Fourier’s Law (2009) (2)
- Diffusion for a quantum particle coupled to phonons in $d\geq 3$ (2011) (2)
- Renormalizing Partial Diierential Equations (1994) (2)
- Stress-Energy in Liouville Conformal Field Theory (2019) (2)
- Renormalization Group and Random Systems (1990) (1)
- Propagation bounds and soft photon bounds for the massless spin-boson model (2013) (1)
- Renormalization Group Pathologies, Gibbs states (2002) (1)
- Diffusion for a Quantum Particle Coupled to Phonons in d ≥ 3 (2013) (1)
- Renormalization Group for Fronts and Patterns (1998) (1)
- Rigorous Renormalization Group and Large N (1984) (1)
- The Virasoro structure and the scattering matrix for Liouville conformal field theory (2022) (1)
- Constructive Theory of Critical Phenomena (1984) (0)
- Critical behaviour in a driven diffusive system with an odd induced current (1987) (0)
- A renormalization group based convergent expansion for a class of massless lattice models (1982) (0)
- Stress-Energy in Liouville Conformal Field Theory (2020) (0)
- Approach to Ground State and Time-Independent Photon Bound for Massless Spin-Boson Models (2012) (0)
- Minimal Velocity Estimates and Soft Mode Bounds for the Massless Spin-Boson Model (2014) (0)
- Rigorous renormalization group--asymptotic freedom and non-gaussian fixed points (1984) (0)
- Challenges in Geometry , Analysis and Computation : High Dimensional Synthesis (2012) (0)
- Fiber flows in global paper and pulp industry. A panel data approach. (2008) (0)
- Renormalization Group Pathologies, Gibbs states and disordered systems (Applications of Renormalization Group Methods in Mathematical Sciences) (2002) (0)
- The DOZZ formula from the path integral (2018) (0)
- Diffusion in Random and Non-Linear PDE’s (1994) (0)
- ϕ 4 4 with negative coupling (1985) (0)
- Renormalization Group and Nonlinear PDE’s (1993) (0)
- Ergodic theory of SDE’s with degenerate noise (2007) (0)
- Renormalization of Generalized KPZ Equation (2016) (0)
- Renormalization Group and Stochastic PDEs (2015) (0)
- Local Conformal Structure of Liouville Quantum Gravity (2018) (0)
- PR ] 2 9 M ar 2 01 7 LOCAL CONFORMAL STRUCTURE OF LIOUVILLE QUANTUM GRAVITY (2021) (0)
- Fe b 20 20 STRESS-ENERGY IN LIOUVILLE CONFORMAL FIELD THEORY (2020) (0)
- On the I/ft Expansion (2004) (0)
- Phase transitions in disordered spin systems (1989) (0)
- The Breakdown of Dimensional Reduction (1988) (0)
- DIFFUSION IN COUPLED MAP LATTICES (2010) (0)
- Quantum field theory without cutoffs- renormalizable and nonrenormalizable (1986) (0)
- Critical Mandelbrot Cascades (2013) (0)
- Diffusion in Energy Conserving Coupled Maps (2013) (0)
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What Schools Are Affiliated With Antti Kupiainen?
Antti Kupiainen is affiliated with the following schools: