Peter Jones | Academic Influence

Peter Jones 's AcademicInfluence.com Rankings

Peter Jones

Mathematics

#2567

World Rank

#3939

Historical Rank

#1010

USA Rank

Measure Theory

#3021

World Rank

#3589

Historical Rank

#877

USA Rank

mathematics Degrees

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Mathematics

Peter Jones 's Degrees

Masters Mathematics Stanford University

Why Is Peter Jones Influential?

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According to Wikipedia, Peter Wilcox Jones is a mathematician at Yale University, known for his work in harmonic analysis and fractal geometry. He received his Ph.D. at the University of California, Los Angeles in 1978, under the supervision of John B. Garnett. He received the Salem Prize in 1981. He is an elected member of the U.S. National Academy of Sciences , the Royal Swedish Academy of Sciences , and the American Academy of Arts and Sciences . He is not related to the mathematician Vaughan Jones.

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Peter Jones '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

Quasiconformal mappings and extendability of functions in sobolev spaces (1981) (517)
Deblurring and Denoising of Images by Nonlocal Functionals (2005) (414)
Rectifiable sets and the Traveling Salesman Problem (1990) (336)
Hausdorff dimension and Kleinian groups (1994) (264)
Manifold parametrizations by eigenfunctions of the Laplacian and heat kernels (2008) (173)
BMO from dyadic BMO (1982) (121)
Two elementary proofs of the ² boundedness of Cauchy integrals on Lipschitz curves (1989) (118)
On the product of functions in BMO and H 1 (2007) (117)
Harmonic measure and arclength (1990) (111)
Square functions, Cauchy integrals, analytic capacity, and harmonic measure (1989) (105)
The Distance in BMO to L (1978) (100)
Hausdorff dimension of harmonic measures in the plane (1988) (94)
Harmonic measure,L2-estimates and the Schwarzian derivative (1994) (89)
On coefficient problems for univalent functions and conformal dimension (1992) (86)
Random conformal weldings (2009) (86)
Interpolation between Hp spaces: The complex method (1982) (85)
L∞ estimates for the $$\bar \partial $$ problem in a half-planeproblem in a half-plane (1983) (84)
Julia and John (1994) (82)
Removability theorems for Sobolev functions and quasiconformal maps (2000) (77)
Stable rank of the disc algebra (1986) (71)
Randomized approximate nearest neighbors algorithm (2011) (63)
Factorization of A p Weights (1980) (61)
Harmonic measures supported on curves. (1989) (60)
Density properties of harmonic measure (1995) (59)
The Corona theorem for Denjoy domains (1985) (54)
A geometric localization Theorem (1982) (52)
Critical points of Green's function, harmonic measure, and the corona problem (1985) (51)
Universal Local Parametrizations via Heat Kernels and Eigenfunctions of the Laplacian (2007) (49)
Factorization of AP weights (1980) (48)
Homeomorphisms of the line which preserve BMO (1983) (45)
Wiggly sets and limit sets (1997) (44)
On Weak Convergence in H 1 ( R d ) (1994) (42)
A Complete Bounded Complex Submanifold of C 3 (1979) (39)
Lipschitz and bi-Lipschitz Functions. (1988) (38)
Constructive decomposition of BMO functions and factorization of _{} weights (1983) (33)
POSITIVE ANALYTIC CAPACITY BUT ZERO BUFFON NEEDLE PROBABILITY (1988) (33)
The Dimension of the Brownian Frontier Is Greater Than 1 (1995) (32)
Carleson measures and the Fefferman-Stein decomposition of BMO(R) (1980) (27)
BMO AND THE BANACH SPACE APPROXIMATION PROBLEM (1985) (27)
Modeling Oscillatory Components with The Homogeneous Spaces BM -α and W -α,p* (2011) (27)
On weak convergence in $H\sp 1({\bf R}\sp d)$ (1994) (24)
The law of the iterated logarithm for Kleinian groups (23)
A complete bounded complex submanifold of (1979) (22)
The Traveling Salesman problem and Harmonic analysis (1991) (20)
A randomized approximate nearest neighbors algorithm (2013) (20)
Estimates for the corona problem (1980) (19)
Dimension of the boundary of quasiconformal Siegel disks (2002) (18)
Conditioned Brownian motion and multipliers into SL∞ (2004) (17)
Ratios of interpolating Blaschke products (1981) (16)
Checkerboards, Lipschitz functions and uniform rectifiability (1997) (15)
Local scales and multiscale image decompositions (2009) (15)
A multiscale guide to Brownian motion (2015) (13)
On Scaling Properties of Harmonic Measure (2005) (12)
On interpolation between H1 and H (1984) (12)
Curve denoising by multiscale singularity detection and geometric shrinkage (2011) (12)
Bounded holomorphic functions with all level sets of infinite length. (1980) (11)
Perspectives and Challenges to Harmonic Analysis and Geometry in High Dimensions: Geometric Diffusions as a Tool for Harmonic Analysis and Structure Definition of Data (2005) (9)
Perspectives in analysis : essays in honor of Lennart Carleson's 75th birthday (2005) (9)
Radial variation of Bloch functions (1997) (8)
Compact deformations of Fuchsian groups (2002) (7)
Product formalisms for measures on spaces with binary tree structures: representation, visualization, and multiscale noise (2016) (5)
Localization of Neumann eigenfunctions near irregular boundaries (2018) (4)
Applications of Probability: (1990) (4)
Fuchsian Groups, Quasiconformal Groups, and Conical Limit Sets (1996) (4)
Universal Covering Maps and Radial Variation (1999) (4)
Metric properties of mean wiggly continua (2012) (4)
Some designs for multicriteria bandits (1995) (3)
Approximation and Capacities (1984) (3)
A RANDOM WALK IN ANALYSIS (2011) (3)
ON V. I. SMIRNOV DOMAINS (1999) (3)
A Lipschitz decomposition of minimal surfaces (1992) (2)
Review: Paul Koosis, Introduction to $H_p$ spaces (1981) (2)
Sublinear measures, Menger curvature, and Hausdorff dimension (2022) (1)
A Randomized Approximate Nearest Neighbors Algorithm - A Short Version (2011) (1)
Product Formalisms for Measures on Spaces with Binary Tree Structures: Representation, Visualization, Inference and Decision (2016) (0)
Singular integrals, BMO, Hp (1984) (0)
Institute for Mathematical Physics Universal Covering Maps and Radial Variation Universal Covering Maps and Radial Variation (2009) (0)
F Ur Mathematik in Den Naturwissenschaften Leipzig Universal Covering Maps and Radial Variation Universal Covering Maps and Radial Variation (1998) (0)
Institute for Mathematical Physics Addendum To: Universal Covering Maps and Radial Variations (2009) (0)
Laplacians and Heat Kernels: Theory and Applications (15w5110) (2015) (0)
Thomas H. Wolff (1954–2000), Volume 48, Number 5 (2001) (0)
Dynamics, Probability, and Conformal Invariance (2005) (0)
Fast Multi-scale Algorithms for Representation and Analysis of Data (2011) (0)

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