János Aczél
#25,752
Most Influential Person Now
Hungarian-Canadian mathematician
János Aczél 's AcademicInfluence.com Rankings
János Aczél mathematics Degrees
Mathematics
#1936
World Rank
#3071
Historical Rank
Measure Theory
#481
World Rank
#683
Historical Rank
Download Badge
Mathematics
János Aczél 's Degrees
- PhD Mathematics Eötvös Loránd University
Why Is János Aczél Influential?
(Suggest an Edit or Addition)According to Wikipedia, János Dezső Aczél , also known as John Aczel, was a Hungarian-Canadian mathematician, who specialized in functional equations and information theory. Professional career Aczél earned a doctorate in mathematical analysis from the University of Budapest, and held positions at the University of Cologne, Kossuth University, University of Miskolc, and University of Szeged. He joined the University of Waterloo faculty in 1965, eventually becoming Distinguished Professor in the Department of Pure Mathematics.
János Aczél '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
- Lectures on Functional Equations and Their Applications (1968) (2740)
- Procedures for Synthesizing Ratio Judgements (1983) (834)
- Functional Equations in Several Variables (2008) (509)
- On Measures of Information and Their Characterizations (2012) (330)
- A Short Course on Functional Equations: Based Upon Recent Applications to the Social and Behavioral Sciences (1986) (182)
- Functional Equations in Several Variables: With Applications to Mathematics, Information Theory and to the Natural and Social Sciences (1989) (149)
- On mean values (1948) (126)
- On scientific laws without dimensional constants (1986) (91)
- On the possible merging functions (1989) (89)
- On synthesis of judgements (1986) (78)
- Generalized associativity and bisymmetry on quasigroups (1963) (77)
- Characterizations of some classes of quasilinear functions with applications to triangular norms and to synthesizing judgements (1982) (76)
- Quasigroups, nets, and nomograms (1965) (75)
- Why the Shannon and Hartley entropies are ‘natural’ (1974) (74)
- Synthesizing judgements: a functional equations approach (1987) (73)
- Functional equations in several variables: Bibliography (1989) (72)
- On Applications and Theory of Functional Equations (1969) (66)
- Remarks on the measurement of subjective probability and information (1967) (56)
- Functional equations in several variables: Subject index (1989) (55)
- WHY THE SHANNON AND HARTLEY ENTROPIES ARE 'NATURAL' (1974) (53)
- General and regular solutions of functional equations characterizing harmonic polynomials (1968) (53)
- The state of the second part of Hilbert's fifth problem (1989) (52)
- A Mean Value Property of the Derivative of Quadratic Polynomials—without Mean Values and Derivatives (1985) (52)
- On weighted synthesis of judgements (1984) (51)
- Determining merged relative scores (1990) (46)
- Remarks on one-parameter subsemigroups of the affine group and their homo- and isomorphisms (1969) (45)
- A behavioral condition for Prelec's weighting function on the positive line without assuming W(1)=1 (2007) (44)
- Solution of the Rectangularm×nGeneralized Bisymmetry Equation and of the Problem of Consistent Aggregation (1996) (42)
- THE SPACE OF (ψ, γ)–ADDITIVE MAPPINGS ON SEMIGROUPS (2002) (42)
- A mixed theory of information. I: symetric, recursive and measurable entropies of randomized systems of events (1978) (40)
- The Role of Some Functional Equations in Decision Analysis (2010) (40)
- On the characterization of plane projective and complex MOEBIUS-transformations† (1967) (36)
- Some unsolved problems in the theory of functional equations (1964) (35)
- Utility of gambling II: risk, paradoxes, and data (2008) (35)
- Utility of gambling I: entropy modified linear weighted utility (2008) (35)
- A Mixed Theory of Information. III. Inset Entropies of Degree Beta (1978) (34)
- A Characterization of Weighted Arithmetic Means (1980) (31)
- On composed Poisson distributions, III (1950) (30)
- Functional Equations: History, Applications and Theory (1984) (29)
- Aggregation theorems for allocation problems (1984) (28)
- Measuring information beyond communication theory—Why some generalized information measures may be useful, others not (1984) (27)
- On composed Poisson distributions, I (1950) (26)
- The Associativity Equation Re‐Revisited (2004) (26)
- Extension of a generalized Pexider equation (2005) (23)
- Determination of all semisymmetric recursive information measures of multiplicative type on n positive discrete probability distributions (1983) (23)
- ’Cheaper by the Dozen’: Twelve Functional Equations and their Applications to the ’Laws of Science’ and to Measurement in Economics (1988) (23)
- Proof of a theorem on distributive type hyperidentities (1971) (21)
- On transformations with several parameters and operations in multidimensional spaces (1956) (19)
- FUNCTIONAL EQUATIONS IN THE BEHAVIORAL SCIENCES^1 (2000) (19)
- A mixed theory of information. V. How to keep the (inset) expert honest (1980) (18)
- On different characterizations of entropies (1969) (18)
- Notes on generalized information functions (1981) (18)
- Invariance of Multiattribute Utility Functions under Shift Transformations (2009) (18)
- On history, applications and theory of functional equations (1984) (17)
- On two mean value properties and functional equations associated with them (1989) (17)
- On the characterization of Shannon's entropy by Shannon's inequality (1973) (17)
- Determination of all additive quasiarithmetic mean codeword lengths (1974) (16)
- Increasing Solutions of the Homogeneity Equation and of Similar Equations (1994) (16)
- Further uniqueness theorems for functional equations (1965) (15)
- Measuring information beyond communication theory : Some probably useful and some almost certainly useless generalizations (1984) (14)
- The behaviour of means under equal increments of their variables (1988) (14)
- New results on ‘scale’ and ‘size’ arguments justifying invariance properties of empirical indices and laws (1994) (14)
- Continuous Solutions of the Go a ,b-Schinzel Equation on the Nonnegative Reals andon Related Domains (1999) (14)
- A functional equation arising from ranked additive and separable utility (2000) (13)
- Solution to a Functional Equation Arising from Different Ways of Measuring Utility (1996) (13)
- Equations of Generalized Bisymmetry and of Consistent Aggregation: Weakly Surjective Solutions Which May Be Discontinuous at Places (1997) (13)
- Functional Equations and Inequalities in ‘Rational Group Decision Making’ (1983) (13)
- On weighted synthesis of judgements (1984) (12)
- Generalizations Of A “folk-Theorem” On Simple Functional Equations In A Single Variable (1991) (12)
- Functions of binomial type mapping groupoids into rings (1977) (12)
- A note on generalizations of transitive systems of transformations (1967) (11)
- Utility of extension of functional equations—when possible (2005) (10)
- Solution of a functional equation arising in an axiomatization of the utility of binary gambles (2000) (10)
- A solution of some problems of K. Borsuk and L. Jánossy (1955) (10)
- Characterizing information measures: Approaching the end of an era (1987) (10)
- Axiomatic characterizations of some measures of divergence in information (1972) (9)
- Consistent aggregation of scale families of selection probabilities (1997) (9)
- Functional equations arising in a theory of rank dependence and homogeneous joint receipts (2003) (8)
- A note on additive indices (1974) (8)
- General two-place information functions (1982) (8)
- Consistency of monomial and difference representations of functions arising from empirical phenomena (1999) (8)
- Maximum Entropy and Bayesian Methods in Applied Statistics: Generalized Entropies and the Maximum Entropy Principle (1986) (8)
- On a characterization of Poisson distributions (1972) (8)
- Regular ArticleSolutions to Three Functional Equations Arising from Different Ways of Measuring Utility (1996) (7)
- Entropies, Characterizations, Applications and Some History (2006) (7)
- Local Pexider and Cauchy equations (2007) (7)
- Conditions for a Loop to be a Group and for a Groupoid to be a Semigroup (1969) (6)
- The non-existence of a Hamel-basis and the general solution of Cauchy's functional equation for nonnegative numbers (2022) (6)
- Derivations and Information Functions: (A Tale of Two Surprises and a Half) (1981) (5)
- A functional equation generated by event commutativity in separable and additive utility theory (2001) (5)
- A remark on functional dependence (1965) (5)
- Some Recent Results on characterizations of Measures of Information Related to Coding (1978) (5)
- Scale-invariant equal sacrifice in taxation and conditional functional equations (1987) (5)
- Some recent results on information measures, a new generalization and some ‘real life’ interpretations of the ‘old’ and new measures (1984) (5)
- Determination of all generalized Hicks-neutral production functions (1989) (5)
- Solutions of a functional equation, convex of higher order (1992) (5)
- A minimum-problem on areas of inscribed and circumscribed polygons of a circle (1951) (5)
- A Remark on involutory functions (1948) (5)
- Constituent-Sensitive Public Fund Sharing (1993) (5)
- A Functional Equation Arising from Simultaneous Utility Representations (2003) (5)
- Entropies Old and New (and Both New and Old) and Their Characterizations (2004) (5)
- The Twenty-seventh International Symposium on Functional Equations, August 14–24, 1989, Bielsko-BiałKatowice—Kraków, Poland (1990) (5)
- On a functional equation arising from comparison of utility representations (2005) (5)
- Entropy and ergodic theory (1975) (4)
- On the Thomsen condition for webs (1981) (4)
- General Solution of a Functional Equation Connected with a Characterization of Statistical Distributions (1975) (4)
- On Strict Monotonicity of Continuous Solutions of Certain Types of Functional Equations (1966) (4)
- Solution of a system of functional-differential equations arising from an optimization problem (1985) (3)
- Changes in the role of the trade union in the Hungarian printing industry (2005) (3)
- General Solution of an Inequality Containing Several Unknown Functions, with Applications to the Generalized Problem of “How to Keep the Expert Honest” (1980) (3)
- General Solution of “Isomoment” Functional Equations (1967) (3)
- Two functional equations preserving functional forms (2002) (3)
- A new formula for speedup and its characterization (1997) (3)
- The Behaviour of Comprehensive Classes of Means Under Equal Increments of Their Variables (1987) (3)
- On (ψ, γ)-stability of Cauchy equation on some noncommutative groups (2009) (3)
- Consistent aggregation of simply scalable families of choice probabilities (2000) (3)
- Functional equations and L'Hopital's rule in an exact Poisson derivation (1990) (3)
- Remarks on one-parameter subsemigroups of the affine group and their homo- and isomorphisms (1970) (2)
- Webs, iteration groups, and equivalent changes in probabilities (1996) (2)
- Bisymmetry and Consistent Aggregation: Historical Review and Recent Results (2019) (2)
- Functional equations in several variables: D'Alembert's functional equation. An application to noneuclidean mechanics (1989) (2)
- Functional equations in several variables: Cauchy's equation. Hamel basis (1989) (2)
- On two characterizations of Poisson distributions (1975) (2)
- Trisection of Angles, Classical Curves, and Functional Equations (1998) (2)
- INTERNATIONAL MEETING ON FUNCTIONAL EQUATIONS WHAT ARE THEY ANYWAY (1969) (2)
- General solution of a system of functional equations satisfied by sums of powers on arithmetic progressions (1980) (1)
- Some Recent Applications of Functional Equations to Combinatorics, Probability Distributions, Information Measures and to the Theory of Index Numbers in Mathematical Economics (1978) (1)
- On the uniqueness of scales derived from canonical representations (1970) (1)
- Functional equations in several variables: Homogeneity and some generalizations. Applications to economics (1989) (1)
- Pexider’s equation and its extension. Quasi-extension of Cauchy’s equation. Determination of all generalized Hicks-neutral production functions (1987) (1)
- A lemma on the angles between a fixed line and the lines connecting a fixed point on it with the points of a convex arc (1992) (1)
- On a functional equation of the theory of curves in two dimensional conformal geometry (1971) (1)
- Entropies, Generalized Entropies, Inequalities, and the Maximum Entropy Principle (1987) (1)
- Extensions of certain homomorphisms of subsemigroups to homomorphisms of groups (1971) (1)
- Some Recent Applications of Functional Equations and Inequalities to Characterizations of Probability Distributions, Combinatorics, Information Theory and Mathematical Economics (1975) (1)
- Corrigenda to “Invariance of Multiattribute Utility Functions under Shift Transformations”, 54 no. 1–2, 1–13 (2009) (1)
- Functional Characterizations of Basic Properties of Utility Representations (2002) (1)
- On the general form of the laws of science without dimensional constants (1985) (1)
- A Minimum Property of the Square (1980) (1)
- Functional equations in several variables: Addundancy, extensions, quasi-extensions and extensions almost everywhere. Applications to harmonic analysis and to rational decision making (1989) (1)
- General and regular solutions of functional equations characterizing jarmonic polynomials (1968) (1)
- On rational quasi-multiplicative families of operators (1967) (1)
- On concomitants of mixed tensors (1963) (1)
- Some recent applications of functional equations to geometry (1971) (1)
- Functional equations in several variables: A further generalization of Pexider's equation. A uniqueness theorem. An application to mean values (1989) (0)
- Functional equations in several variables: Equations for trigonometric and similar functions (1989) (0)
- Functional equations in several variables: Further composite equations. An application to averaging theory (1989) (0)
- On quasi-linear functional operations (2022) (0)
- CORRESPONDENCE OF MATHEMATICIANS I. LÁSZLÓ KALMÁR’S CORRESPONDENCE WITH HUNGARIAN MATHEMATICIANS (2009) (0)
- Functional equations in several variables: Three further Cauchy equations. An application to information theory (1989) (0)
- Functional equations in several variables: Hints to selected ‘exercises and further results’ (1989) (0)
- The 57th International Symposium on Functional Equations Dom Zdrojowy SPA Hotel, Jastarnia (Polandfc (2019) (0)
- Functional equations in several variables: Preface (1989) (0)
- Works on functional equations XII (1987) (0)
- Functional equations in several variables: Axiomatic motivation of vector addition (1989) (0)
- Functional equations in several variables: Further information (1989) (0)
- Functional equations in several variables: Historical notes (1989) (0)
- Board — Comité de rédaction (2019) (0)
- General forms of ‘laws of science’ without dimensional constants. The case of the same ratio scale for all variables. Generalized homogeneous functions. Inequality measures (1987) (0)
- Inequalities for selection probabilities (1997) (0)
- On a Cauchy equation in norm (0)
- Functional equations in several variables: Dedication (1989) (0)
- Functional equations in several variables: Images of sets and functional equations. Applications to relativity theory and to additive functions bounded on particular sets (1989) (0)
- A Geometric Application of Majorization (1983) (0)
- Functional Equations in Behavioral and Social Sciences (2001) (0)
- Extension of Functional Equations (2013) (0)
- Functional equations in several variables: Conditional Cauchy equations. An application to geometry and a characterization of the Heaviside functions (1989) (0)
- Works on functional equations XII (1987) (0)
- Determination of all Hicks-neutral production functions depending upon capital, labor and time (state of technology). The translation equation (1987) (0)
- Sincov’s inequalities on topological spaces (2020) (0)
- Equivalence of changes in proportions at crossroads of mathematical theories (1997) (0)
- Some Generalized “Isomoment” Equations and Their General Solutions (1968) (0)
- Aggregating clones, colors, equations, iterates, numbers, and tiles (1995) (0)
- An aggregation theorem for allocation problems. Cauchy equation for single- and multiplace functions.Two extension theorems (1987) (0)
- Mean values, mediality and self-distributivity (1989) (0)
- 2908. Solution of Problem 2838 (1960) (0)
- Functional equations in several variables: Some applications of functional equations in functional analysis, in the geometry of Banach spaces and in valuation theory (1989) (0)
- Functional equations for products and compositions of functions (2022) (0)
- Dedicated,with friendship and admiration, to G. Aumann on his 70th and to o. Haupt on his 90th birthday (1978) (0)
- Synthesis of measure judgements. Equations in a single variable. The Abel and Schröder equations. Iteration (1987) (0)
- Functional equations in several variables: Some related equations and systems of equations. Applications to combinatorics and Markov processes (1989) (0)
- Some Applications of Functional Equations and Inequalities to Information Measures (2010) (0)
- Scale-invariant equal sacrifice in taxation. The linear-affine functional equation. Multiplicative and logarithmic functions (1987) (0)
- Cobb-Douglas and Other CES Functions, Homogeneity and Generalizations (1999) (0)
- The associativity equation. Synthesis of ratio judgements. The quasiarithmetic means. The Jensen equations. A conditional linear-affine equation. A characterization of root-mean-powers and of the geometric mean (1987) (0)
- The Thirty-ninth International Symposium on Functional Equations, August 12 – 18, 2001, Sandbjerg, Denmark (2002) (0)
- What to do until (and when) the functional equationist arrives (1998) (0)
- A class of equations generalizing d'Alembert and Cauchy Pexider-type equations (1989) (0)
- Functional equations in several variables: More about conditional Cauchy equations. Applications to additive number theoretical functions and to coding theory (1989) (0)
- Isomorphic pairs of homogeneous functions and their morphisms (2004) (0)
- Functional equations in several variables: Generalized mediality. Connection to webs and nomograms (1989) (0)
- Works on functional equations — XIV (1989) (0)
- E. Picardus Ab Omni Naevo Liberatus (On the Axiomatics of Vector Addition) (1978) (0)
- General forms of ‘laws of sciences’ with (partially) independent ratio and interval scales. Multiplace multiplicative and logarithmic functions. Price levels.Endomorphisms of a real field. The exponential equation. Characters (1987) (0)
- István Fenyő (1917–1987) in memoriam (1992) (0)
- Functional equations in several variables: Cauchy's equations for complex functions. Applications to harmonic analysis and to information measures (1989) (0)
- Functional equations in several variables: Generalizations of Cauchy's equations to several multiplace vector and matrix functions. An application to geometric objects (1989) (0)
- Functional equations in several variables: Characterizations of inner product spaces. An application to gas dynamics (1989) (0)
- A Look at Mathematical Competitions in Hungary (1960) (0)
This paper list is powered by the following services:
Other Resources About János Aczél
What Schools Are Affiliated With János Aczél ?
János Aczél is affiliated with the following schools:
