David Preiss

Q: What Schools Are Affiliated With David Preiss

David Preiss is affiliated with the following schools: University of Warwick, University College London, Charles University, University of Manchester

David Preiss's AcademicInfluence.com Rankings

David Preiss

Mathematics

#1335

World Rank

#2227

Historical Rank

Measure Theory

#2353

World Rank

#2814

Historical Rank

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Mathematics

David Preiss's Degrees

Masters Mathematics Charles University
Bachelors Mathematics Charles University

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Why Is David Preiss Influential?

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According to Wikipedia, David Preiss FRS is a Czech and British mathematician, specializing in mathematical analysis. He is a professor of mathematics at the University of Warwick Preiss is a recipient of the Ostrowski Prize and the winner of the 2008 London Mathematical Society Pólya Prize for his 1987 result on Geometry of Measures, where he solved the remaining problem in the geometric theoretic structure of sets and measures in Euclidean space. He was an invited speaker at the ICM 1990 in Kyoto. He is a Fellow of the Royal Society and a Foreign Fellow of the Learned Society of the Czech Republic .

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David Preiss'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

Cluster expansion for abstract polymer models (1986) (349)
A smooth variational principle with applications to subdifferentiability and to differentiability of convex functions (1987) (278)
Geometry of measures in $\mathbf{R}^n$: Distribution, rectifiability, and densities (1987) (271)
Differentiability of Lipschitz functions on Banach spaces (1990) (216)
A general mountain pass principle for locating and classifying critical points (1989) (189)
WEAKLY DIFFERENTIABLE FUNCTIONS (Graduate Texts in Mathematics 120) (1991) (147)
Affine Approximation of Lipschitz Functions and Nonlinear Quotients (1999) (108)
Almost Fréchet Differentiability of Lipschitz Mappings Between Infinite‐Dimensional Banach Spaces (2002) (88)
Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (2012) (84)
On Fréchet differentiability of Lipschitz maps between Banach spaces (2004) (73)
On the existence of subsets of finite positive packing measure (1995) (69)
Directional derivatives of Lipschitz functions (2001) (65)
Rectifiable Measures in Rn and Existence of Principal Values for Singular Integrals (1995) (60)
Structure of null sets in the plane and applications (2005) (56)
Differentiability of Lipschitz functions, structure of null sets, and other problems (2011) (54)
Boundary structure and size in terms of interior and exterior harmonic measures in higher dimensions (2007) (51)
Smooth Banach spaces, weak asplund spaces and monotone or usco mappings (1990) (49)
Porosity, σ-porosity and measures (2003) (38)
Differentiability of Lipschitz functions in Lebesgue null sets (2013) (37)
When do McShane and Pettis integrals coincide (2003) (37)
On Besicovitch's 1/2 problem (1992) (37)
A Constructive Minimal Integral which Includes Lebesgue Integrable Functions and Derivatives (2000) (37)
Metric spaces in which Prohorov's theorem is not valid (1973) (36)
Two Unexpected Examples Concerning Differentiability of Lipschitz Functions on Banach Spaces (1995) (36)
Besicovitch-type properties of measures and submanifolds. (1987) (36)
FRECHET DIFFERENTIATION OF CONVEX FUNCTIONS IN A BANACH SPACE WITH A SEPARABLE DUAL (1984) (35)
Gateaux differentiable functions are somewhere Frechet differentiable (1984) (33)
Tangent measure distributions of fractal measures (1998) (33)
Uniformly Distributed Measures in Euclidean Spaces (2002) (30)
A generalization of the interior mapping theorem of Clarke and Pourciau (1987) (28)
Stronger estimates of smallness of sets of Frechet nondifferentiability of convex functions (1984) (28)
A weakly pseudocompact subspace of Banach space is weakly compact (1974) (28)
Lipschitz Quotients from Metric Trees and from Banach Spaces Containing ℓ1 (2002) (27)
Lipschitz image of a measure-null set can have a null complement (2000) (26)
On the smoothness of Hölder doubling measures (2009) (25)
The Approximate Symmetric Integral (1989) (24)
Measures in banach spaces are determined by their values on balls (1991) (23)
Uniform quotient mappings of the plane. (2000) (23)
SEPARATING POLYNOMIALS ON BANACH SPACES (1989) (21)
Infinite Variation and Derivatives inRm (1998) (20)
Orthogonal Transition Kernels (1983) (20)
On intermediate differentiability of Lipschitz functions on certain Banach spaces (1991) (20)
Convexity conditions and intersections with smooth functions (1985) (20)
A new proof of Fréchet differentiability of Lipschitz functions (2000) (19)
A Simple Proof of Zahorski’s Description of Non-Differentiability Sets of Lipschitz Functions (2009) (18)
On Besicovitch's ½-Problem (1992) (18)
Approximate derivatives and Baire classes (1971) (16)
Positive-measure self-similar sets without interior (2006) (15)
GEOMETRIC NONLINEAR FUNCTIONAL ANALYSIS, Volume 1 (American Mathematical Society Colloquium Publications 48) By Y OAV B ENYAMINI and J ORAM L INDENSTRAUSS : 488 pp., US$65.00, ISBN 0-8218-0835-4 (American Mathematical Society, Providence, RI, 2000). (2001) (15)
Almost Fréchet differentiability of finitely many Lipschitz functions (1996) (14)
A One-Dimensional Variational Problem with Continuous Lagrangian and Singular Minimizer (2010) (14)
Chapter 35 – Geometric Measure Theory in Banach Spaces (2003) (13)
A note on symmetrically continuous functions (1971) (13)
BV has the bounded approximation property (2005) (13)
Fréchet differentiability of Lipschitz maps and porous sets in Banach spaces (2007) (13)
Fréchet differentiability of Lipschitz functions via a variational principle (2010) (12)
Fréchet differentiability of Lipschitz functions (a survey) (2001) (12)
Sigma-Porous Sets in Products of Metric Spaces and Sigma-Directionally Porous Sets in Banach Spaces (1998) (12)
On the smoothness of H\"older-doubling measures (2007) (12)
Completely additive disjoint system of Baire sets is of bounded class (1974) (12)
Differentiation of measures on Hilbert spaces (1982) (11)
In-between theorems in uniform spaces (1980) (10)
Universal Singular Sets in the Calculus of Variations (2006) (10)
A characterization of nonchaotic continuous maps of the interval stable under small perturbations (1989) (10)
The balls do not generate all Borel sets using complements and countable disjoint unions (2000) (9)
Invalid Vitali theorems (1979) (9)
Additional regularity for Lipschitz solutions of PDE. (1997) (9)
Directional upper derivatives and the Chain Rule formula for locally Lipschitz functions on Banach spaces (2015) (8)
On characterizing derivatives (1995) (8)
Limits of approximately continuous functions (1971) (8)
Denjoy-Young-Saks Theorem for Approximate Derivatives Revisited (2000) (8)
Cone Unrectifiable Sets and Non-Differentiability of Lipschitz Functions (2017) (7)
Level sets of derivatives (1982) (7)
Maximal sets of orthogonal measures are not analytic (1985) (7)
Lipschitz functions with unexpectedly large sets of nondifferentiability points (2005) (7)
Lusin’s theorem for derivatives with respect to a continuous function (1999) (6)
The Composition of Two Derivatives Has a Fixed Point (2000) (6)
The convex generation of convex Borel sets in Banach spaces (1973) (6)
TILINGS OF HILBERT SPACES (2010) (6)
Not too well differentiable Lipschitz isomorphisms (2000) (6)
On local uniformities (1978) (5)
On unilateral and bilateral th Peano derivatives (1987) (5)
Stochastic approximation properties in Banach spaces (2003) (5)
Measures for which σ‐Porous Sets are Null (1985) (4)
Gâteaux differentiability of cone-monotone and pointwise Lipschitz functions (2014) (4)
On Dini and Approximate Dini Derivates of Typical Continuous Functions (2000) (4)
Renormalization of nonperturbative functional integral for independent value models (1977) (4)
Differentiability of Lipschitz functions in Lebesgue null sets (2014) (3)
Porosity, sigma-porosity and measures (2003) (3)
Monotonically controlled integrals (2017) (3)
Sets of finite H-1 measure that intersect positively many lines in infinitely many points (2007) (2)
ALPHA-VARIATION AND TRANSFORMATION INTO CN FUNCTIONS (1985) (2)
An unusual monotonicity theorem with applications (1988) (2)
Positivity principle for more concentrated measures. (1997) (2)
Note on decomposition of spheres in Hilbert spaces (1986) (2)
The use of projective limits in classical statistical mechanics and Euclidean quantum field theory (1980) (2)
Solution to a problem of Nirenberg concerning expanding maps (2020) (2)
Differentiability and Measures in Banach Spaces (1990) (2)
Nonperturbative renormalizability for a class of gradient-free models (1978) (2)
Geometry of Banach Spaces: Almost differentiablity of convex functions in Banach spaces and determination of measures by their values on balls (1991) (1)
Infinite games and σ-porosity (2016) (1)
A set of positive Gaussian measure with uniformly zero density everywhere. (2021) (1)
Varifolds and Vector-Valued Measures (2009) (1)
Now is good, earlier is better. (2017) (1)
Nonlinear quotients (1997) (1)
Regularity of Lipschitz functions on the line. (2003) (1)
Gâteaux differentiability of cone-monotone and pointwise Lipschitz functions (2014) (0)
Chapter Seven: Variational principles (2012) (0)
Chapter Six: Férchet differentiability except for Γ-null sets (2012) (0)
A note on the first mean value theorem in integral calculus (1969) (0)
Chapter Ten: Porosity, Γn- and Γ-null sets (2012) (0)
Chapter Twelve: Fréchet differentiability of real-valued functions (2012) (0)
Life and work of Vojtěch Jarník (2013) (0)
Chapter Five: Γ-null and Γn-null sets (2012) (0)
Cone unrectifiable sets and non-differentiability of Lipschitz functions (2019) (0)
Chapter Sixteen: Differentiability of Lipschitz maps on Hilbert spaces (2012) (0)
A characterization of functions whose right derivative vanishes except for a countable set (1969) (0)
Wanted: jobs for Joe College (1956) (0)
Knot points of typical continuous functions (2012) (0)
Chapter Nine: Preliminaries to main results (2012) (0)
Index of Notation (2012) (0)
Comments to Hahn’s work in Real Analysis (1996) (0)
Chapter Fifteen: Asymptotic Fréchet differentiability (2012) (0)
Mathematische Annalen Manuscript-nr. Tangent Measure Distributions of Fractal Measures (1996) (0)
Stability of Lewis and Vogel’s result (2004) (0)
Chapter Fourteen: Unavoidable porous sets and nondifferentiable maps (2012) (0)
Rearrangements of functions on totally disconnected groups (2003) (0)
Chapter Eleven: Porosity and ε-Fréchet differentiability (2012) (0)
AFFINE APPROXIMATION OF LIPSCHITZFUNCTIONS AND NONLINEAR QUOTIENTSS (1999) (0)
Chapter Two: Gâteaux differentiability of Lipschitz functions (2012) (0)
Tillings of Hilbert spaces (2010) (0)
Chapter Three: Smoothness, convexity, porosity, and separable determination (2012) (0)
Γ-Null and ΓN-Null Sets (2017) (0)
structure of null sets, and other problems (2010) (0)
Chapter Four: ε-Fréchet differentiability (2012) (0)
Chapter Eight: Smoothness and asymptotic smoothness (2012) (0)
DIRECTIONAL DERIVATIVES OF LIPSCHITZFUNCTIONSD (2000) (0)
Chapter Thirteen: Fréchet differentiability of vector-valued functions (2012) (0)

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