Vincent Rivasseau

Vincent Rivasseau's AcademicInfluence.com Rankings

Vincent Rivasseau

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According to Wikipedia, Vincent Rivasseau is a French mathematical physicist. Rivasseau studied from 1974 to 1978 at the École Normale Supérieure and then in 1978/79 at Princeton University with Arthur Wightman as advisor. In 1979 he got his PhD , at the Pierre and Marie Curie University, followed by the Thèse d'État . From 1981 to 2001 he was a scientist of the CNRS at the Center for Theoretical Physics of École Polytechnique. Since 2001 he is professor of physics at the University of Paris-Sud in Orsay.

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Vincent Rivasseau'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

From Perturbative to Constructive Renormalization (1991) (412)
Critical behavior of colored tensor models in the large N limit (2011) (351)
Random tensor models in the large N limit: Uncoloring the colored tensor models (2012) (284)
The 1/N expansion of colored tensor models in arbitrary dimension (2011) (256)
A Renormalizable 4-Dimensional Tensor Field Theory (2011) (199)
Vanishing of beta function of non-commutative Φ 4 4 theory to all orders (2006) (196)
Renormalization of a SU(2) Tensorial Group Field Theory in Three Dimensions (2013) (166)
Trees, forests and jungles: a botanical garden for cluster expansions (1994) (153)
Renormalization of Tensorial Group Field Theories: Abelian U(1) Models in Four Dimensions (2012) (141)
Non-commutative Renormalization (2004) (128)
A Translation-Invariant Renormalizable Non-Commutative Scalar Model (2008) (126)
A renormalizable field theory: The massive Gross-Neveu model in two dimensions (1986) (120)
Quantum Gravity and Renormalization: The Tensor Track (2011) (120)
Scaling behavior of three-dimensional group field theory (2009) (119)
Renormalisation of Noncommutative ϕ4-Theory by Multi-Scale Analysis (2005) (115)
Constructive matrix theory (2007) (110)
Construction and Borel summability of infrared Φ44 by a phase space expansion (1987) (107)
EPRL/FK group field theory (2010) (105)
The tensor track, III (2013) (105)
Renormalization of Non-Commutative $$\Phi^4_4$$ Field Theory in x Space (2005) (99)
Linearized group field theory and power-counting theorems (2010) (99)
AN infinite volume expansion for many Fermion Green's functions (1992) (95)
Double scaling in tensor models with a quartic interaction (2013) (89)
Bosonic colored group field theory (2009) (88)
Constructive ϕ4 Field Theory without Tears (2007) (87)
Random Schrödinger operators (2008) (79)
The Tensor Track: an Update (2012) (79)
The 1/N Expansion of Multi-Orientable Random Tensor Models (2013) (76)
Parametric Representation of Noncommutative Field Theory (2006) (71)
Two- and three-loop beta function of non-commutative Φ44 theory (2006) (69)
The Ising model on random lattices in arbitrary dimensions (2011) (69)
Local existence of the Borel transform in Euclidean φ44 (1981) (67)
Topological Graph Polynomials and Quantum Field Theory, Part I: Heat Kernel Theories (2008) (63)
A New Large N Expansion for General Matrix–Tensor Models (2017) (58)
On the microscopic validity of the Wulff construction and of the generalized Young equation (1989) (58)
Renormalization of Non-Commutative Φ_4 Field Theory in x Space (2008) (57)
Loop Vertex Expansion for Phi^2k Theory in Zero Dimension (2010) (57)
Enhancing non-melonic triangulations: A tensor model mixing melonic and planar maps (2015) (57)
Towards Renormalizing Group Field Theory (2011) (56)
Quantum Corrections in the Group Field Theory Formulation of the EPRL/FK Models (2010) (56)
The Tensor Track V: Holographic Tensors (2018) (54)
Random Tensors and Quantum Gravity (2016) (52)
Construction and Borel summability of planar 4-dimensional euclidean field theory (1984) (52)
Quantum corrections in the group field theory formulation of the Engle-Pereira-Rovelli-Livine and Freidel-Krasnov models (2010) (51)
Mass generation in the large N Gross-Neveu-Model (1995) (49)
Explicit Fermionic Tree Expansions (1997) (49)
An intrinsic 1/N expansion for many-Fermion systems (1993) (48)
Interacting Fermi Liquid in Two Dimensions¶at Finite Temperature.¶Part I: Convergent Attributions (1999) (47)
Why are tensor field theories asymptotically free? (2015) (47)
Renormalization of an Abelian tensor group field theory: solution at leading order (2015) (46)
How to Resum Feynman Graphs (2013) (46)
Addendum to: A Renormalizable 4-Dimensional Tensor Field Theory (2012) (46)
Interacting Fermi Liquid in Two Dimensions at Finite Temperature. Part II: Renormalization (1999) (42)
An Explicit Large Versus Small Field Multiscale Cluster Expansion (1996) (40)
Constructive Tensor Field Theory: the $${T^4_3}$$T34 Model (2014) (40)
The tensor theory space (2014) (39)
Pinning of an interface by a weak potential (1992) (39)
Constructive Tensor Field Theory (2016) (38)
Propagators for Noncommutative Field Theories (2005) (38)
Continuous Constructive Fermionic Renormalization (1998) (37)
Universality and Borel Summability of Arbitrary Quartic Tensor Models (2014) (36)
The Multiscale Loop Vertex Expansion (2013) (35)
Bounds on completely convergent Euclidean Feynman graphs (1985) (35)
Colored Triangulations of Arbitrary Dimensions are Stuffed Walsh Maps (2015) (32)
Two-Dimensional Many-Fermion Systems as Vector Models (1993) (31)
Bounds on renormalized Feynman graphs (1985) (31)
Topological Graph Polynomial and Quantum Field Theory Part II: Mehler Kernel Theories (2009) (30)
Parametric Representation of “Covariant” Noncommutative QFT Models (2007) (30)
Borel summability and the non perturbative $1/N$ expansion of arbitrary quartic tensor models (2014) (30)
The Tensor Track, IV (2016) (29)
Renormalization: an advanced overview (2014) (29)
Loop vertex expansion for higher-order interactions (2017) (28)
Commutative limit of a renormalizable noncommutative model (2008) (28)
Constructive field theory and applications: Perspectives and open problems (2000) (27)
Non-Commutative Complete Mellin Representation for Feynman Amplitudes (2007) (27)
Constructive Field Theory in Zero Dimension (2009) (26)
The Two Dimensional Hubbard Model at Half-Filling. I. Convergent Contributions (2001) (26)
Construction ofYM4 with an infrared cutoff (1993) (25)
Topological graph polynomials and quantum field theory (2010) (25)
A Renormalizable SYK-Type Tensor Field Theory (2017) (24)
Constructive renormalization for Φ24 theory with loop vertex expansion (2011) (24)
Tree Quantum Field Theory (2008) (24)
Lieb's correlation inequality for plane rotors (1980) (22)
Renormalization of the 2-Point Function of the Hubbard Model at Half-Filling (2004) (21)
Borel summability of the 1/N expansion for theN-vector [O(N) non-linear σ] models (1982) (21)
The perturbation series for φ34 field theory is divergent (1982) (20)
Corrected loop vertex expansion for Φ24 theory (2015) (20)
Ward identities and a perturbative analysis of a U(1) Goldstone boson in many fermion system (1993) (20)
Interacting Fermi Liquid in Three Dimensions at Finite Temperature: Part I: Convergent Contributions (2000) (20)
Renormalization in the complete Mellin representation of Feynman amplitudes (1981) (20)
Ja n 20 07 Parametric representation of “ critical ” noncommutative QFT models (2008) (19)
Renormalisation of non-commutative field theories (2007) (19)
Renormalization theory (2020) (18)
How are Feynman graphs resummed by the Loop Vertex Expansion (2010) (18)
Ward-Type Identities for the Two-Dimensional Anderson Model at Weak Disorder (1998) (18)
A Single Scale Infinite Volume Expansion for Three-Dimensional Many Fermion Green's Functions (1995) (18)
$\Phi ^4$ field theory in dimension $4$ : a modern introduction to its unsolved problems (1984) (17)
The Hubbard Model at Half-Filling, Part III: the Lower Bound on the Self-Energy (2004) (16)
Noncommutative field theory on rank one symmetric spaces (2008) (16)
Renormalization and Hopf algebraic structure of the five-dimensional quartic tensor field theory (2015) (15)
Vanishing β-function for Grosse–Wulkenhaar model in a magnetic field (2008) (15)
On the large order behavior of Φ44 (1988) (15)
A comment on 44 Euclidean field theory (1983) (14)
Constructive Tensor Field Theory: the T 4 3 Model (2016) (14)
On the vanishing of the cosmological constant in four-dimensional superstring models (1987) (14)
The Anderson Model as a matrix model (1996) (14)
The Lipatov argument for φ34 perturbation theory (1985) (13)
Noncommutative Renormalization (2007) (13)
Note on the Intermediate Field Representation of ϕ2k$\phi ^{2k}$ Theory in Zero Dimension (2016) (13)
Poincaré Seminar 2003 (2004) (12)
Constructive Tensor Field Theory: The $${T_{4}^{4}}$$T44 Model (2017) (12)
Melonic Turbulence (2018) (12)
An Introduction to Renormalization (2003) (12)
The Borel transform in Euclidean $\varphi_{\nu}^{4}$ local existence for ${\rm Re}\,\nu <4$ (1980) (11)
Cluster expansions with small/large field conditions (1994) (11)
Progress in Mathematical Physics (2013) (10)
Supersymmetric Analysis of a Simplified Two Dimensional Anderson Model at Small Disorder (2002) (10)
Intermediate Field Representation for Positive Matrix and Tensor Interactions (2016) (10)
Random Matrices and the Anderson Model (2003) (10)
Renormalization in Tensorial Group Field Theories (2016) (10)
Fermionic many-body models (1994) (10)
Mass generation for an interface in the mean field regime (1992) (10)
Why renormalizable noncommutative quantum field theories (2007) (9)
Vacuum energy - renormalization (2003) (9)
Constructive Matrix Theory for Higher-Order Interaction (2017) (9)
Corrected Loop Vertex Expansion for Phi42 Theory (2014) (8)
The Quantum Hall effect (2005) (8)
A Lipatov bound for Φ44 Euclidean field theory (1987) (8)
Introduction to the Renormalization Group with Applications to Non-Relativistic Quantum Electron Gases (2011) (8)
Local existence of the Borel transform in euclidean massless Φ44 (1985) (8)
Spheres are rare (2013) (8)
Tensor Field Theory (2016) (7)
Rigorous construction and Borel summability for a planar four-dimensional field theory (1984) (7)
The borel transform in Euclidean ϕv4 local existence for Rev < 4 (1980) (7)
Glasses and Grains (2011) (7)
Generalized Constructive Tree Weights (2013) (7)
Perturbative Quantum Field Theory on Random Trees (2019) (6)
A Rigorous Analysis of the Superconducting Phase of an Electron - Phonon System ♣ (1995) (6)
Rigorous results on the ultraviolet limit of non-abelian gauge theories (1992) (6)
Quantum many-body systems (2012) (6)
Parametric Cutoffs for Interacting Fermi Liquids (2011) (6)
Combinatorial Hopf algebraic description of the multiscale renormalization in quantum field theory (2012) (6)
Bosonic Monocluster Expansion (2000) (5)
Random Tensor Theory for Tensor Decomposition (2022) (5)
Constructive physics : results in field theory, statistical mechanics and condensed matter physics : proceedings of the conference held at Ecole Polytechnique, Palaiseau, France 25-27 July 1994 (2013) (5)
Renormalization group methods and applications: First results for the weakly coupled Anderson model (1999) (5)
Constructive Renormalization Theory (1999) (4)
Color Grosse–Wulkenhaar models: one-loop β-functions (2008) (4)
A comment on the local existence of the Borel transform in euclidean Φ44 (1983) (3)
Spin , or actually : Spin and Quantum Statistics ∗ (2010) (3)
Selective Multiple Power Iteration: from Tensor PCA to gradient-based exploration of landscapes (2021) (3)
The Tensor Track VII: From Quantum Gravity to Artificial Intelligence (2022) (3)
Renormalization of noncommutative ϕ 4 -theory by multi-scale analysis (2020) (3)
The Tensor Track VI: Field Theory on Random Trees and SYK on Random Unicyclic Graphs (2020) (3)
CONSTRUCTIVE MANY-BODY THEORY (1994) (2)
Constructive Matrix Theory for Higher Order Interaction II: Hermitian and Real Symmetric Cases (2019) (2)
Can we make sense out of "Tensor Field Theory"? (2021) (2)
Parametric Representation of Noncommutative Field Theory I Introduction (2008) (2)
Renormalization of Tensorial Group Field Theories: Abelian U(1) Models in Four Dimensions (2014) (1)
Addendum to: A Renormalizable 4-Dimensional Tensor Field Theory (2013) (1)
International Conference on Theoretical Physics : TH-2002, Paris, July 22-27, 2002 (2004) (1)
The Rigorous Renormalization Group (2006) (1)
Ju n 20 00 Constructive Field Theory and Applications : Perspectives and Open Problems (2000) (1)
A Renormalizable SYK-Type Tensor Field Theory (2018) (1)
Isosystolic inequalities and the topological expansion for random surface and matrix models (1991) (1)
Note on the Intermediate Field Representation of φ 2k Theory in Zero Dimension (2018) (1)
Borel summability of the 1/ N expansion for the N -vector [ O ( N ) non-linear (1982) (1)
Chaos : Poincaré Seminar 2010 (2013) (1)
theory, Part II: Mehler kernel theories (2011) (1)
Editorial: in Memoriam Daniel Arnaudon (2006) (1)
On the Witten vertex (1986) (0)
Why Renormalizable NonCommutative Quantum Field Theories? (Applications of Renormalization Group Methods in Mathematical Sciences) (2008) (0)
Interacting Fermions in 2 Dimensions (2006) (0)
Melonic Turbulence (2020) (0)
International Conference on Theoretical Physics (2004) (0)
Cumulants of U(N)-vector model by multi-scale loop vertex expansion (2022) (0)
Séminaire Poincaré Anatomy of quantum chaotic eigenstates (2017) (0)
Chapter III.3 The Effective Expansion and Infrared Φ44 (1991) (0)
Renormalized relations in condensed matter (2001) (0)
Chapter I.5 Borel Summability (1991) (0)
Renormalisation scalar quantum field theory on 4D-Moyal plane (2013) (0)
P o S ( C O R F U 2 0 1 7 ) 2 1 8 The Tensor Track V : Holographic Tensors (2018) (0)
How to Resum Feynman Graphs (2013) (0)
Honeycomb Hubbard Model at van Hove Filling II: Lower Bounds of the Self-Energy (2021) (0)
A ug 2 01 0 EPRL / FK Group Field Theory (2012) (0)
On multi-loop four dimensional superstring amplitudes (1990) (0)
Chapter I.4 Feynman Graphs and Amplitudes (1991) (0)
Ju n 20 07 Constructive φ 4 field theory without (2008) (0)
Chapter I.1 The Ultraviolet Problem (1991) (0)
D ec 2 01 3 The Multiscale Loop Vertex Expansion (2018) (0)
The 1/N Expansion of Multi-Orientable Random Tensor Models (2013) (0)
Chapter II.2 Renormalization Theory for Φ44 (1991) (0)
References and Bibliography (1991) (0)
Annales Henri Poincaré Parametric Cutoffs for Interacting Fermi Liquids (0)
Constructive 4 eld theorywithouttears (2013) (0)
The H Boson (2017) (0)
Chapter III.2 The Phase Space Expansion: The Convergent Case (1991) (0)
ANNALES DE L'I. H. P., SECTION A (1984) (0)
Chapter II.4 The Effective Expansion (1991) (0)
The Multiscale Loop Vertex Expansion (2014) (0)
Double scaling in tensor models with a quartic interaction (2013) (0)
Chapter I.2 Euclidean Field Theory. The O.S. Axioms (1991) (0)
Chapter II.3 Proof of the Uniform BPH Theorem (1991) (0)
Loop vertex expansion for higher-order interactions (2017) (0)
Chapter II.6 The Large Order Behavior of Perturbation Theory (1991) (0)
Honeycomb Hubbard Model at van Hove Filling Part I: Construction of the Schwinger Functions (2021) (0)
2 Scalar field theory on the Moyal space (2009) (0)
Parametric Cutoffs for Interacting Fermi Liquids (2012) (0)
Quantum Many Body Systems: Cetraro, Italy 2010 (2012) (0)
The co-optation of humanitarianism and its legal consequences: des obstacles au respect du droit humanitaire? (2008) (0)
Chapter II.1 The Multiscale Representation and a Bound on Convergent Graphs (1991) (0)
A Renormalizable 4-Dimensional Tensor Field Theory (2012) (0)
Recherche Coopérative sur Programme n o 25 Cyclic Cohomology, Supersymmetry and KMS States The KMS States as Generalized Elliptic Operators (2018) (0)
Existence of an instanton singularity in $\phi ^4_\;3$. Euclidean field theory (1986) (0)
Chapter II.5 Construction of “Wrong Sign” Planar Φ44 (1991) (0)
Renormalization of an Abelian tensor group field theory: solution at leading order (2015) (0)
Construction of the continuum limit of nonAbelian gauge theory in a finite volume (1994) (0)
Chapter I.3 The Φ4 Model (1991) (0)
Arthur Strong Wightman (2013) (0)
Bose-Einstein condensation-entropy (2004) (0)
Chapter III.4 The Gross-Neveu Model (1991) (0)
A translation-invariant renorm alizable non-com m utative scalar m odel (2013) (0)
Chapter III.5 The Ultraviolet Problem in Non-Abelian Gauge Theories (1991) (0)
Constructive Many-Body (1994) (0)
Honeycomb Hubbard Model at van Hove Filling (2021) (0)
Mathematisches Forschungsinstitut Oberwolfach Report No . 17 / 2006 The Rigorous Renormalization Group Organised (2007) (0)
P o S ( C O R F U 2 0 1 5 ) 1 0 6 The Tensor Track , IV (2016) (0)
Chapter III.1 Single Scale Cluster and Mayer Expansions (1991) (0)
Continuous Constructive Fermionic Renormalization I Introduction (0)
Non Perturbative Dimensional Interpolation (1980) (0)
Renormalization of a SU(2) Tensorial Group Field Theory in Three Dimensions (2014) (0)

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