Miklós Laczkovich | Academic Influence

Miklós Laczkovich's AcademicInfluence.com Rankings

Miklós Laczkovich

Mathematics

#819

World Rank

#1465

Historical Rank

Real Analysis

#1

World Rank

#5

Historical Rank

Measure Theory

#140

World Rank

#221

Historical Rank

mathematics Degrees

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Mathematics

Miklós Laczkovich's Degrees

PhD Mathematics Eötvös Loránd University
Masters Mathematics Eötvös Loránd University

Why Is Miklós Laczkovich Influential?

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According to Wikipedia, Miklós Laczkovich is a Hungarian mathematician mainly noted for his work on real analysis and geometric measure theory. His most famous result is the solution of Tarski's circle-squaring problem in 1989.

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Miklós Laczkovich'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

Equidecomposability and discrepancy; a solution of Tarski's circle-squaring problem (1990) (99)
Baire 1 functions, approximately continuous functions and derivatives (1974) (51)
Ideal limits of sequences of continuous functions (2009) (50)
UNIFORMLY SPREAD DISCRETE SETS IN RD (1992) (49)
Some Periodic and Non-Periodic Recursions (2001) (49)
Harmonic analysis on discrete Abelian groups (2004) (49)
Some remarks on discrete Baire classes (1979) (47)
Spectral synthesis on discrete Abelian groups (2007) (45)
The local stability of convexity, affinity and of the Jensen equation (1999) (33)
Dynamics of Typical Continuous Functions (1989) (32)
Polynomial mappings on Abelian groups (2004) (31)
Functions with measurable differences (1980) (29)
Closed sets without measurable matching (1988) (28)
The Borel structure of iterates of continuous functions (1989) (28)
The removal of from some undecidable problems involving elementary functions (2002) (24)
Tilings of polygons with similar triangles (1990) (23)
Non-Negative Measurable Solutions of Difference Equations (1986) (22)
Convexity conditions and intersections with smooth functions (1985) (20)
Measurable Darboux functions (1988) (20)
Tilings of Convex Polygons with Congruent Triangles (2012) (19)
Tilings of triangles (1995) (19)
Linear functional equations, differential operators and spectral synthesis (2015) (19)
Decomposition of sets with small boundary (1992) (19)
Local spectral synthesis on Abelian groups (2014) (17)
Decompositions into the sum of periodic functions belonging to a given Banach space (1990) (16)
PARADOXICAL DECOMPOSITIONS USING LIPSCHITZ FUNCTIONS (1992) (15)
Periodic decompositions of continuous functions (1989) (15)
Differentiable restrictions of continuous functions (1984) (15)
Two Constructions of Sierpiński and Some Cardinal Invariants of Ideals (1998) (15)
Conjecture and Proof (1999) (15)
Derivations and differential operators on rings and fields (2018) (15)
Typical continuous functions are virtually nonmonotone (1985) (14)
On paradoxical spaces (2001) (14)
Measurability of functions with approximately continuous vertical sections and measurable horizontal sections (1994) (13)
Convexity on Abelian Groups (2009) (13)
Discrete and equal Baire classes (1990) (12)
On the Baire class of selective derivatives (1977) (12)
Paradoxical Decompositions: A Survey of Recent Results (1994) (11)
Analytic subgroups of the reals (1998) (11)
A visit to the Erdös problem (1998) (10)
On Lambert's proof of the irrationality of pi (1997) (10)
Monotonicity theorems for generalized Riemann derivatives (1989) (10)
Rectangling a rectangle (1997) (9)
Almost convex functions on locally compact Abelian groups (2010) (9)
Denjoy-Young-Saks Theorem for Approximate Derivatives Revisited (2000) (8)
Tiling Polygons with Lattice Triangles (2010) (8)
The Number of Homothetic Subsets (2013) (8)
Tilings of Polygons with Similar Triangles, II (1998) (8)
The Kakeya Problem for Circular Arcs (2016) (8)
Separation properties of some subclasses of Baire 1 functions (1975) (8)
Decomposition of sets of small or large boundary (1993) (8)
Decomposition using measurable functions (1996) (8)
On the Difference Property of the Class of Pointwise Discontinuous Functions and of Some Related Classes (1984) (8)
On the limit superior of sequences of sets (1977) (7)
Operators commuting with translations, and systems of difference equations (1999) (7)
INVARIANT SIGNED MEASURES AND THE CANCELLATION LAW (1991) (7)
Closed sets with the Kakeya property (2018) (7)
A characterization of generalized exponential polynomials in terms of decomposable functions (2018) (7)
Approximations of continuous functions by squares (1990) (7)
On the unique representation of families of sets (2008) (6)
Equidecomposability of Jordan domains under groups of isometries (2003) (6)
CHAPTER 3 – Paradoxes in Measure Theory (2002) (6)
Concentrated Borel measures (1991) (5)
On unilateral and bilateral th Peano derivatives (1987) (5)
Vector Valued Polynomials, Exponential Polynomials and Vector Valued Harmonic Analysis (2020) (5)
Symmetrically approximately continuous functions, consistent density theorems, and Fubini type inequalities (2004) (5)
Von Neumann's paradox with translations (1988) (5)
A cardinal number connected to the solvability of systems of difference equations in a given function class (2007) (5)
A theorem on approximately continuous functions (1973) (5)
Lipschitz differences and Lipschitz functions (1997) (4)
Ideals and differential operators in the ring of polynomials of infinitely many variables (2014) (4)
Extension theorems on derivatives of additive interval functions (1982) (4)
Real Analysis: Foundations and Functions of One Variable (2015) (4)
Oscillating solutions of integral equations and linear recursions (1991) (4)
Measure of sumsets and ejective sets I (1996) (4)
DECOMPOSITION OF BALLS INTO CONGRUENT PIECES (2011) (4)
The Levi-Civita equation in function classes (2019) (4)
Elementary and integral-elementary functions (2000) (3)
On the measurability of functions whose sections are derivatives (1981) (3)
Porosity and Approximate Derivatives (1986) (3)
The discrete Pompeiu problem on the plane (2016) (3)
Remarks on a problem of A. M. Bruckner (1981) (3)
The Banach-Tarski theorem on polygons, and the cancellation law (1990) (3)
Real Analysis: Series, Functions of Several Variables, and Applications (2017) (3)
On additive and strongly derivable interval functions (1982) (3)
Separation of sets by derivatives (1976) (3)
Equidecomposability of sets, invariant measures, and paradoxes (1991) (3)
Configurations with Rational Angles and Trigonometric Diophantine Equations (2003) (2)
Infinite Peano Derivatives (1985) (2)
Sectionwise properties and measurability of functions of two variables (1982) (2)
Continuity and derivability of additive interval functions (1982) (2)
Linear functional equations and Shapiro's conjecture (2004) (2)
Strong Fubini properties for measure and category (2003) (2)
Configurations with Rational Angles and Trigonometric Diophantine Equations (2003) (2)
ALPHA-VARIATION AND TRANSFORMATION INTO CN FUNCTIONS (1985) (2)
Orders of Absolute Measurability (2000) (2)
The Improper Integral (2015) (2)
QUALITATIVE PROPERTIES OF SOME DISCRETIZED PARTIAL DIFFERENTIAL EQUATIONS AND RELIABLE FUEL CELL MODELLING (2011) (2)
Separation of sets by bounded derivatives (1976) (2)
Functions of Bounded Variation (2015) (2)
Stability Constants in Linear Spaces (2011) (2)
Rational Points of Some Elliptic Curves Related to the Tilings of the Equilateral Triangle (2019) (1)
On a problem about Darboux points (1979) (1)
Transference of density (2013) (1)
Irregular Tilings of Regular Polygons with Similar Triangles (2020) (1)
STATISTICAL ANALYSIS OF STOCHASTIC VOLATILITY MODELS (2011) (1)
Averaging processes on function classes (1982) (1)
Decomposition of convex figures into similar pieces (1995) (1)
A Ramsey theorem for measurable sets (2002) (1)
A superposition theorem of Kolmogorov type for bounded continuous functions (2021) (1)
On the transformers of derivatives (1978) (1)
A note on approximately continuous and A.E. continuous functions (1979) (1)
One old problem, one new, and their equivalence (2002) (1)
Croftian sequences (1990) (1)
Infinite Sequences I (2015) (1)
Tilings of the regular N-gon with triangles of angles π/N, π/N, (N - 2)π/N for N = 5, 8, 10 and 12 (2021) (1)
REMARKS ON A PROBLEM OF BRUCKNER,A.M. (1981) (1)
Solvability and consistency for infinite systems of linear inequalities (1978) (0)
The discrete Pompeiu problem on the plane (2017) (0)
Legendrian and transverse knots in the light of Heegaard Floer Homology (2009) (0)
A Generalization of Kemperman’s Functional Inequality 2f(x) ≤ f(x + h) + f(x + 2h) (1983) (0)
Erratum to "Measurable Darboux Functions" (1989) (0)
Tilings of Convex Polygons with Congruent Triangles (2012) (0)
Diszkrét és folytonos: a gráfelmélet, algebra, analízis és geometria találkozási pontjai = Discrete and Continuous: interfaces between graph theory, algebra, analysis and geometry (2012) (0)
Infinite Sequences II (2015) (0)
Linear functional equations, differential operators and spectral synthesis (2014) (0)
Sequences and Series of Functions (2017) (0)
A characterisation of associative idempotent nondecreasing functions with neutral elements (2016) (0)
A Brief Historical Introduction (2015) (0)
Real-Valued Functions of One Real Variable (2015) (0)
Erratum to: “Measurable Darboux functions” [Proc.\ Amer.\ Math.\ Soc.\ {102} (1988), no.\ 3, 603–610; MR0928988 (89b:26003)] (1989) (0)
Selective and bi-selective derivatives (1987) (0)
Continuity and Limits of Functions (2015) (0)
Local spectral synthesis on Abelian groups (2013) (0)
On Kemperman's inequality 2f(x)≤ f(x+h)+f(x+2h) (1984) (0)
Bridges and Profunctors (2013) (0)
Translation invariant linear spaces of polynomials (2021) (0)
A characterization of Jordan and Lebesgue measures (1978) (0)
Separately polynomial functions (2021) (0)
Magic mirrors, dense diameters, Baire category (2014) (0)
Continuous solutions of the equation $$x+g(y+f(x))=y+g(x+f(y))$$x+g(y+f(x))=y+g(x+f(y)) (2019) (0)
Descriptive properties of the set of exposed points of compact convex sets in R-3 (2004) (0)
On cardinality questions concerning automaton mappings (2003) (0)
Applications of Differentiation (2015) (0)
Functions from \(\mathbb {R}^{p}\) to \(\mathbb {R}^{q}\) (2017) (0)
A combinatorial property of cardinals (2001) (0)
Separately polynomial functions (2021) (0)
The Jordan Measure (2017) (0)
Rational Points of Some Elliptic Curves Related to the Tilings of the Equilateral Triangle (2019) (0)
A characterization of generalized exponential polynomials in terms of decomposable functions (2019) (0)
Various Important Classes of Functions (Elementary Functions) (2015) (0)
The Kakeya Problem for Circular Arcs (2016) (0)
On the resultant of forces (1995) (0)
Squares of perfect sets (2002) (0)
On the linear Denjoy property of two-variable continuous functions (2015) (0)
Applications of Integration (2015) (0)
On the Baire class of the upper derivatives (1975) (0)
The growth of elementary functions (2010) (0)
Quadrilateral reptiles (2022) (0)
The solvability cardinal of the class of polynomials (2021) (0)
Continuous solutions of the equation x+g(y+f(x))=y+g(x+f(y))\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$x+g(y+f(x) (2019) (0)
F eb 2 01 8 Closed sets with the Kakeya property (2018) (0)
Integrals of Multivariable Functions II (2017) (0)
\({\mathbb {R}^{p}}\rightarrow \mathbb {R}\) functions (2017) (0)
Configurations with rational angles and Diophantine trigonometric equations (2003) (0)
Translation invariant linear functionals and representation of functions as sums of differences (2000) (0)
Complementary Use of Matrix-Analytic Methods and Large-Deviation Theory for a General Telecommunications Queueing System (2006) (0)
The Growth of Complex Solutions of Algebraic Differential Equations of First Order (2011) (0)
Rudiments of Infinite Series (2015) (0)
The Definite Integral (2015) (0)
On nonlinear systems containing nonlocal terms Summary of the PhD Dissertation (2008) (0)
The Stieltjes Integral (2015) (0)
Bolyongás a matematikában és határán. Laczkovich Miklós interjúja Lovász Lászlóval • A Random Walk in and around Mathematics. Miklós Laczkovich’s Interview with László Lovász (2021) (0)
Ideals and differential operators in the ring of polynomials of infinitely many variables (2014) (0)
The minimal Denjoy index of a symmetric perfect set (1999) (0)

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