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Towards three-dimensional conformal probability (Q2317200)

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Language	Label	Description	Also known as
English	Towards three-dimensional conformal probability	scientific article

Statements

scholarly article

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Towards three-dimensional conformal probability (English)

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\(p\)-Adic Numbers, Ultrametric Analysis, and Applications

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publication date

8 August 2019

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full work available at URL

https://arxiv.org/abs/1511.03180

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zbMATH Keywords

conformal field theory

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\(p\)-adic quantum field theory

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scaling limits

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renormalization group

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Abdelmalek Abdesselam

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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A complete renormalization group trajectory between two fixed points

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Renormalization group trajectories between two fixed points

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QFT, RG, and All That, for Mathematicians

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Random Fields and Geometry

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Schwartz Functions on Nash Manifolds

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Critical exponents for long-range interactions

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Lognormal \(\star\)-scale invariant random measures

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Fourier Analysis and Nonlinear Partial Differential Equations

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Explicit representations of spaces of smooth functions and distributions

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Irreducible unitary representations of the Lorentz group

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Scaling limits and critical behaviour of the 4-dimensional \(n\)-component \(|\varphi|^4\) spin model

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Structural stability of a dynamical system near a non-hyperbolic fixed point

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A renormalisation group method. III. Perturbative analysis

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Logarithmic correction for the susceptibility of the 4-dimensional weakly self-avoiding walk: a renormalisation group analysis

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Critical two-point function of the 4-dimensional weakly self-avoiding walk

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Equivalence of topologies and Borel fields for countably-Hilbert spaces

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A scaling theory for the long-range to short-range crossover and an infrared duality

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Infinite conformal symmetry in two-dimensional quantum field theory

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Some Theorems on Stable Processes

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On the holographic renormalization group

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Central limit theorems for non-linear functionals of Gaussian fields

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The crossover region between long-range and short-range interactions for the critical exponents

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A smooth introduction to the wavefront set

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Distributions sur un groupe localement compact et applications à l'étude des représentations des groupes $p$-adiques

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The Renormalization Group and Self-avoiding Walk

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The short distance behavior of \((\Phi^ 4_ 3)\)

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Critical \((\Phi^4)_{3,\epsilon}\)

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A renormalisation group method. I. Gaussian integration and normed algebras

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A renormalisation group method. II. Approximation by local polynomials

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A renormalisation group method. IV. Stability analysis

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A renormalisation group method. V. A single renormalisation group step

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An Extension Problem Related to the Fractional Laplacian

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Planar Ising magnetization field. I: Uniqueness of the critical scaling limit

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Paracontrolled distributions and the 3-dimensional stochastic quantization equation

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Stochastic PDEs, Regularity structures, and interacting particle systems

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Conformal invariance of spin correlations in the planar Ising model

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Infraparticle scattering states in non-relativistic QED. I: The Bloch-Nordsieck paradigm

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Trace formula in noncommutative geometry and the zeros of the Riemann zeta function

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The extension of distributions on manifolds, a microlocal approach

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Painless nonorthogonal expansions

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Number theory and dynamical systems on foliated spaces

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Approach to ground state and time-independent photon bound for massless spin-boson models

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Conformal field theory

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Gaussian and their subordinates self-similar random generalized fields

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Conformal four point functions and the operator product expansion

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Conformal partial waves and the operator product expansion

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\(p\)-adic mathematical physics: the first 30 years

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Une caractérisation du type de la loi de Cauchy-conforme sur \({\mathbb{R}}^ n\). (A characterization of the type of the conformal Cauchy law on \({\mathbb{R}}^ n)\)

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Log-correlated Gaussian Fields: An Overview

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A comment on the dual field in the AdS-CFT correspondence

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Generalized free fields and the AdS-CFT correspondence

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Towards a construction of inclusive collision cross-sections in the massless Nelson model

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Existence of a phase-transition in a one-dimensional Ising ferromagnet

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Solving the 3d Ising model with the conformal bootstrap. II: \(c\)-minimization and precise critical exponents

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Kosterlitz-Thouless transition line for the two dimensional Coulomb gas

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Processus linéaires, processus généralisés

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Inversion positivity and the sharp Hardy-Littlewood-Sobolev inequality

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A discrete transform and decompositions of distribution spaces

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A tightness criterion for random fields, with application to the Ising model

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Conformal invariance in three dimensional percolation

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PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES

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A theory of regularity structures

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Regularity structures and the dynamical $\Phi^4_3$ model

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On isometries and on a theorem of Liouville

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Zur Theorie der abstrakten elliptischen Funktionenkörper III. Die Struktur des Meromorphismenrings. Die Riemannsche Vermutung.

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Holographic and Wilsonian renormalization groups

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On projective invariance of Brownian motion

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CONFORMAL INVARIANCE OF ISING MODEL CORRELATIONS

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The energy density in the planar Ising model

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Constraints on RG flow for four dimensional quantum field theories

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Stochastic quantization, reflection positivity, and quantum fields

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Bootstrapping the \(O\)(\(N\) ) vector models

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Renormalization group and stochastic PDEs

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Scaling group flow and Lefschetz trace formula for laminated spaces with \(p\)-adic transversal

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Hierarchical Dyson model and \(p\)-adic conformal invariance

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\(p\)-adic conformal invariance and the Bruhat-Tits tree

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Seul le groupe des similitudes-inversions préserve le type de la loi de Cauchy-conforme de \({\mathbb{R}}^ n\) pour \(n>1\). (Only the group of similitude-inversions preserves the Cauchy-conformal type distributions of \({\mathbb{R}}^ n\) for \(n>1)\)

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Fractional Gaussian fields: a survey

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Critical two-point function for long-range \(O(n)\) models below the upper critical dimension

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Differential equations driven by rough signals

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From constructive field theory to fractional stochastic calculus. I: An introduction: Rough path theory and perturbative heuristics

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From constructive field theory to fractional stochastic calculus. II: Constructive proof of convergence for the Lévy area of fractional Brownian motion with Hurst index \(\alpha \in \left(\frac{1}{8},\frac{1}{4}\right)\)

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Multiple Wiener-Itô integrals. With applications to limit theorems

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p-adic automorphic functions

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Three-dimensional hyperbolic geometry as \(\infty\)-adic Arakelov geometry

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Holography principle and arithmetic of algebraic curves.

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Wavelets, Vibrations and Scalings

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Global well-posedness of the dynamic \(\Phi^{4}\) model in the plane

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Reflection positivity and conformal symmetry

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Normal fluctuations and the FKG inequalities

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A general central limit theorem for FKG systems

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Metrizability and the Frechet-Urysohn Property in Topological Groups

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On the Schwartz-Bruhat space and the Paley-Wiener theorem for locally compact Abelian groups

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Conformal invariance in the long-range Ising model

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Conformal symmetry in non-local field theories

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Bounding scalar operator dimensions in 4D CFT

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Foundations of Hyperbolic Manifolds

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Quantum field theories in all dimensions

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Comments on a recent solution to Wightman's axioms

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An introduction to \(p\)-adic fields, harmonic analysis and the representation theory of \(\text{SL}_2\)

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A measure of mutual complete dependence

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Distributions and Their Hermite Expansions

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Critical exponents for long-range \(\mathrm O(n)\) models below the upper critical dimension

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Critical correlation functions for the 4-dimensional weakly self-avoiding walk and \(n\)-component \(|\varphi|^4\) model

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Instruction manual for the constructive theory of bosonic fields

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A renormalized rough path over fractional Brownian motion

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Anti de Sitter space and holography

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Non-Archimedean strings and Bruhat-Tits trees

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Identifiers

zbMATH Open document ID

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10.1134/S2070046618040015

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2317200

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