Christopher J. Bishop

Christopher J. Bishop's AcademicInfluence.com Rankings

Mathematics

#6382

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#8847

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Measure Theory

#3551

World Rank

#4191

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mathematics Degrees

Christopher J. Bishop

Computer Science

#11708

World Rank

#12438

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Algorithms

#482

World Rank

#488

Historical Rank

Machine Learning

#5385

World Rank

#5455

Historical Rank

Artificial Intelligence

#5805

World Rank

#5893

Historical Rank

computer-science Degrees

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Mathematics
Computer Science

Christopher J. Bishop's Degrees

Masters Physics University of Oxford

Why Is Christopher J. Bishop Influential?

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According to Wikipedia, Christopher Bishop is an American mathematician on the faculty at Stony Brook University. He received his bachelor's in mathematics from Michigan State University in 1982, going on from there to spend a year at Cambridge University, receiving at Cambridge a Certificate of Advanced Study in mathematics, before entering the University of Chicago in 1983 for his doctoral studies in mathematics. As a graduate student in Chicago, his advisor, Peter Jones, took a position at Yale University, causing Bishop to spend the years 1985–87 at Yale as a visiting graduate student and programmer. Nonetheless, he received his PhD from the University of Chicago in 1987.

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Christopher J. Bishop'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

Hausdorff dimension and Kleinian groups (1994) (264)
ON CONFORMAL DILATATION IN SPACE (2003) (117)
Fractals in Probability and Analysis (2017) (117)
Harmonic measure and arclength (1990) (111)
Constructing entire functions by quasiconformal folding (2015) (82)
Harmonic measures supported on curves. (1989) (60)
Wiggly sets and limit sets (1997) (44)
Conformal welding and Koebe's theorem (2007) (44)
BOUNDED FUNCTIONS IN THE LITTLE BLOCH SPACE (1990) (41)
Divergence groups have the Bowen property (2001) (38)
Representation theoretic rigidity in PSL (2,R) (1993) (34)
A characterization of Poissonian domains (1991) (33)
QUASICONFORMAL MAPPINGS WHICH INCREASE DIMENSION (1999) (33)
The Dimension of the Brownian Frontier Is Greater Than 1 (1995) (32)
INTERPOLATING SEQUENCES FOR THE DIRICHLET SPACE AND ITS MULTIPLIERS (1994) (32)
Some Questions Concerning Harmonic Measure (1992) (30)
Quasiconformal mappings of Y-pieces (2002) (29)
Quasiconformal Lipschitz maps, Sullivan's convex hull theorem and Brennan's conjecture (2002) (28)
Conformal Mapping in Linear Time (2010) (27)
Conformal dimension of the antenna set (2001) (25)
Locally minimal sets for conformal dimension (2001) (24)
The law of the iterated logarithm for Kleinian groups (23)
An Explicit Constant for Sullivan's Convex Hull Theorem (1999) (23)
Orthogonal functions in H (2005) (22)
Models for the Eremenko–Lyubich class (2015) (22)
SOME HOMEOMORPHISMS OF THE SPHERE CONFORMAL OFF A CURVE (2008) (21)
Minkowski dimension and the Poincaré exponent. (1996) (21)
A quasisymmetric surface with no rectifiable curves (1999) (20)
Models for the Speiser class (2017) (19)
Approximating continuous functions by holomorphic and harmonic functions (1989) (19)
Examples Concerning Abelian and Cesaro Limits (2013) (19)
An indestructible Blaschke product in the little Bloch space (1993) (17)
Nonobtuse Triangulations of PSLGs (2016) (17)
ON A THEOREM OF BEARDON AND MASKIT (1996) (17)
A Set Containing Recfiable Arcs QC-locally But Not QC-globally (2011) (16)
Quasisymmetric dimension distortion of Ahlfors regular subsets of a metric space (2012) (16)
A transcendental Julia set of dimension 1 (2018) (16)
Packing dimension and Cartesian products (1996) (16)
A counterexample in conformal welding concerning Hausdorff dimension. (1988) (15)
BILIPSCHITZ APPROXIMATIONS OF QUASICONFORMAL MAPS (2002) (14)
Bi-Lipschitz homogeneous curves in ℝ² are quasicircles (2001) (13)
Some characterizations of (ℳ) (1996) (12)
True trees are dense (2014) (12)
Conformal welding of rectifiable curves. (1990) (12)
The order conjecture fails in S (2015) (12)
Constructing continuous functions holomorphic off a curve (1989) (11)
A central set of dimension 2 (2008) (11)
Non-rectifiable limit sets of dimension one (2002) (10)
Geometric exponents and Kleinian groups (1997) (10)
Optimal Angle Bounds for Quadrilateral Meshes (2010) (10)
Local Spectra and Index of Singular Integral Operators with Piecewise Continuous Coefficients on Composed Curves (1999) (10)
Function theoretic characterizations of Weil–Petersson curves (2022) (9)
Dynamical dessins are dense (2015) (9)
Frequency of dimension distortion under quasisymmetric mappings (2012) (9)
Boundary Interpolation Sets for Conformal Maps (2006) (9)
Big deformations near infinity (2003) (9)
SOME CHARACTERIZATIONS OF C(M) (1996) (7)
The linear escape limit set (2003) (7)
Speiser class Julia sets with dimension near one (2020) (7)
Compact deformations of Fuchsian groups (2002) (7)
How geodesics approach the boundary in a simply connected domain (1994) (7)
The traveling salesman theorem for Jordan curves (2022) (7)
A FAST QC-MAPPING THEOREM FOR POLYGONS (2007) (7)
Prescribing the postsingular dynamics of meromorphic functions (2018) (7)
SOME CHARACTERIZATIONS OF C(M) (1996) (7)
Non-removable sets for quasiconformal and locally biLipschitz mappings in R^3 (1998) (6)
Brownian Motion in Denjoy Domains (1992) (6)
A distance formula for algebras on the disk. (1996) (6)
TREE-LIKE DECOMPOSITIONS AND CONFORMAL MAPS (2010) (5)
Quadrilateral Meshes for PSLGs (2016) (5)
A counterexample concerning smooth approximation (1996) (5)
A criterion for the failure of Ruelle's property (2006) (4)
BOUNDS FOR THE CRDT ALGORITHM (2007) (4)
Three rigidity criteria for ${\text{PSL}}\left( {2,{\mathbf{R}}} \right)$ (1991) (4)
Anti-self-dual $4$-manifolds, quasi-Fuchsian groups, and almost-Kähler geometry (2017) (4)
QUASICONFORMAL APPROXIMATION BY EREMENKO-LYUBICH FUNCTIONS (2011) (3)
CURVES OF FINITE TOTAL CURVATURE AND THE WEIL-PETERSSON CLASS (2019) (3)
Bounds for the CRDT Conformal Mapping Algorithm (2010) (3)
Decreasing dilatation can increase dimension (2007) (3)
Tree-like decompositions of simply connected domains (2012) (3)
A RANDOM WALK IN ANALYSIS (2011) (3)
APPROXIMATION BY CRITICAL POINTS OF GENERALIZED CHEBYSHEV POLYNOMIALS (2011) (3)
δ-Stable Fuchsian groups (2003) (2)
A CURVE WITH NO SIMPLE CROSSINGS BY SEGMENTS (2016) (2)
A FAST MAPPING THEOREM FOR POLYGONS (2008) (2)
THE GEOMETRY OF BOUNDED TYPE ENTIRE FUNCTIONS (2013) (1)
Falconer’s $(K, d)$ distance set conjecture can fail for strictly convex sets $K$ in $\mathbb R^d$ (2021) (1)
CORRECTIONS FOR QUASICONFORMAL FOLDING (2018) (1)
Banach's Fixed-Point Theorem (2017) (1)
Minkowski and Hausdorff dimensions (2017) (1)
HARMONIC MEASURE: ALGORITHMS AND APPLICATIONS (2019) (1)
Equilateral triangulations and the postcritical dynamics of meromorphic functions (2022) (1)
Random walks, Markov chains and capacity (2017) (0)
Self-similarity and packing dimension (2016) (0)
Examples to Tauberian and Hardy-Littlewood Theorems (2013) (0)
The Dark Gaze of Galla Placidia (2020) (0)
Quasisymmetric dimension distortion of Ahlfors regular subsets of a metric space (2016) (0)
Frostman's theory and capacity (2017) (0)
Book Review: Harmonic measure (2006) (0)
Nonobtuse Triangulations of PSLGs (2016) (0)
The order conjecture fails in S (2015) (0)
A transcendental Julia set of dimension 1 (2017) (0)
Conformal images of Carleson curves (2022) (0)
Quadrilateral Meshes for PSLGs (2016) (0)
Frostman's Lemma for analytic sets (2016) (0)
Dark Side of the Moon (2014) (0)
C V ] 1 N ov 2 01 2 FREQUENCY OF DIMENSION DISTORTION UNDER QUASISYMMETRIC MAPPINGS (2014) (0)
Mappings and meshes (2012) (0)
Besicovitch–Kakeya sets (2017) (0)
A Geometric Approach to Polynomial and Rational Approximation (2023) (0)
Non-compact Riemann surfaces are equilaterally triangulable (2021) (0)
Self-affine sets (2017) (0)
Brownian motion, Part II (2017) (0)
Graphs of continuous functions (2017) (0)
Quasiconformal maps with thin dilatations (2022) (0)
True trees are dense (2013) (0)
Geodesics in hyperbolic manifolds (2012) (0)
The Traveling Salesman Theorem (2017) (0)
Optimal angle bounds for Steiner triangulations of polygons (2022) (0)
1 Conformal complexity and computational consequences (2018) (0)

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Christopher J. Bishop's Academic­Influence.com Rankings

Christopher J. Bishop's Degrees

Why Is Christopher J. Bishop Influential?

Christopher J. Bishop's Published Works

Published Works

Other Resources About Christopher J. Bishop

What Schools Are Affiliated With Christopher J. Bishop?

Christopher J. Bishop's AcademicInfluence.com Rankings