Topic · advanced mathematical theories
Most cited papers in advanced mathematical theories
What are the most cited papers in advanced mathematical theories?
The most cited paper in advanced mathematical theories is "On the stability of the linear mapping in Banach spaces" (Themistocles M. Rassias, 1978), with 2,860 citations. Next come "ON A CLASS OF SKEW DISTRIBUTION FUNCTIONS" (2,524) and "Hypoelliptic second order differential equations" (2,458).
Showing 50 of 98 papers. Every paper with more than 385 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | On the stability of the linear mapping in Banach spaces Themistocles M. Rassias · Proceedings of the American Mathematical Society | Nov 1978 | 2,860 |
| 2 | ON A CLASS OF SKEW DISTRIBUTION FUNCTIONS Herbert A. Simon · Biometrika | 1955 | 2,524 |
| 3 | Hypoelliptic second order differential equations Lars Hörmander · Acta Mathematica | 1967 | 2,458 |
| 4 | A Class of Statistics with Asymptotically Normal Distribution Wassily Hoeffding · Springer series in statistics | 1992 | 1,913 |
| 5 | Weak solutions of nonlinear hyperbolic equations and their numerical computation Peter D. Lax · Communications on Pure and Applied Mathematics | Feb 1954 | 1,851 |
| 6 | Biological Populations with Nonoverlapping Generations: Stable Points, Stable Cycles, and Chaos Robert Mccredie May · Science | 15 Nov 1974 | 1,717 |
| 7 | An Introduction to Harmonic Analysis. Guido Weiss, Yitzhak Katznelson · American Mathematical Monthly | Apr 1970 | 1,713 |
| 8 | Compact matrix pseudogroups Stanisław Lech Woronowicz · Communications in Mathematical Physics | Dec 1987 | 1,700 |
| 9 | Invariance theory, the heat equation, and the Atiyah-Singer index theorem Peter Gilkey | 1995 | 1,559 |
| 10 | Self-duality in four-dimensional Riemannian geometry Michael Francis Atiyah, Nigel James Hitchin, I. M. Singer · Proceedings of the Royal Society of London A Mathematical and Physical Sciences | 12 Sep 1978 | 1,506 |
| 11 | Convergence of Probability Measures James L. Snell · Technometrics | Feb 1970 | 1,379 |
| 12 | On “bent” functions Oscar S. Rothaus · Journal of Combinatorial Theory Series A | May 1976 | 1,344 |
| 13 | Hypoelliptic differential operators and nilpotent groups Linda Preiss Rothschild, E. M. Stein · Acta Mathematica | 1976 | 1,123 |
| 14 | Hyperbolic geometry of complex networks Dmitri Krioukov, Fragkiskos Papadopoulos, Maksim Kitsak et al. · Physical Review E | 9 Sep 2010 | 1,096 |
| 15 | Quantum Physics: A Functional Integral Point of View J. Gllmm, Arthur M. Jaffe, Frank A. Wilczek · Physics Today | Oct 1982 | 1,077 |
| 16 | Random difference equations and Renewal theory for products of random matrices Harry Kesten · Acta Mathematica | 1973 | 1,023 |
| 17 | Measures on the Closed Subspaces of a Hilbert Space Andrew M. Gleason | 1975 | 1,020 |
| 18 | Differential equations on riemannian manifolds and their geometric applications Sheng Yao Cheng, Shing–Tung Yau · Communications on Pure and Applied Mathematics | May 1975 | 1,015 |
| 19 | Bell Inequalities for Arbitrarily High-Dimensional Systems Daniel Collins, Nicolas Gisin, Noah Linden et al. · Physical Review Letters | 10 Jan 2002 | 1,005 |
| 20 | Harmonic Analysis and Discontinuous Groups in Weakly Symmetric Riemannian Spaces With Applications to Dirichlet Series Atle Selberg · Journal of the Indian Mathematical Society | Sep 1956 | 996 |
| 21 | Iterated function systems and the global construction of fractals Michael Fielding Barnsley, Stephen G. Demko · Proceedings of the Royal Society of London A Mathematical and Physical Sciences | 8 Jun 1985 | 975 |
| 22 | Markovian master equations E. B. Davies · Communications in Mathematical Physics | Jun 1974 | 959 |
| 23 | Vector Bundles Over an Elliptic Curve Michael Francis Atiyah · Proceedings of the London Mathematical Society | 1957 | 948 |
| 24 | The Cauchy problem for quasi-linear symmetric hyperbolic systems Tosio Kato · Archive for Rational Mechanics and Analysis | 1975 | 934 |
| 25 | Random Magnetic Fields, Supersymmetry, and Negative Dimensions Giorgio Parisi, Nicolas Sourlas · Physical Review Letters | 10 Sep 1979 | 921 |
| 26 | Integral representations of functions and imbedding theory Sergei Mikhailovich Nikol'skii · Mathematical Notes | Sep 1978 | 913 |
| 27 | Gaussian measures in Banach spaces Hui-Hsiung Kuo · Lecture notes in mathematics | 1975 | 876 |
| 28 | The Inhomogeneous Dirichlet Problem in Lipschitz Domains David S Jerison, Carlos E. Kenig · Journal of Functional Analysis | May 1995 | 864 |
| 29 | Decay of the false vacuum at finite temperature Andrei D Linde · Nuclear Physics B | May 1983 | 837 |
| 30 | The cauchy problem for the critical nonlinear Schrödinger equation in Hs Thierry Cazenave, Fred B. Weissler · Nonlinear Analysis | 1990 | 815 |
| 31 | Stochastic Analysis of the Fractional Brownian Motion Laurent Decreusefond, Ali Süleyman Üstünel · Potential Analysis | Mar 1999 | 781 |
| 32 | Elementary and Analytic Theory of Algebraic Numbers Peter Shiu, Władysław Narkiewicz · The Mathematical Gazette | Oct 1991 | 769 |
| 33 | Ultrametricity for physicists R. Rammal, G. Toulouse, Miguel Angel VIRASORO · Reviews of Modern Physics | Jul 1986 | 766 |
| 34 | On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations Robert T. Glassey · Journal of Mathematical Physics | Sep 1977 | 765 |
| 35 | Distance and de Sitter conjectures on the Swampland Hirosi Ooguri, Eran Palti, Gary Shiu et al. · Physics Letters B | 15 Nov 2018 | 761 |
| 36 | Proof of the Bogoliubov-Parasiuk theorem on renormalization Klaus Hepp · Communications in Mathematical Physics | Dec 1966 | 758 |
| 37 | n-Widths in Approximation Theory. Klaus Höllig, Allan M. Pinkus · Mathematics of Computation | Oct 1986 | 748 |
| 38 | Towards Singularity- and Ghost-Free Theories of Gravity Tirthabir Biswas, Erik C. Gerwick, Tomi Koivisto et al. · Physical Review Letters | 19 Jan 2012 | 748 |
| 39 | On Extensions of the Brunn-Minkowski and Prékopa-Leindler Theorems, Including Inequalities for Log Concave Functions, and with an Application to the Diffusion Equation Herm Jan Brascamp, Élliott H. Lieb | 2002 | 740 |
| 40 | Models of the Small World Mark E. J. Newman · Journal of Statistical Physics | Nov 2000 | 722 |
| 41 | The realization of the generalized transfer equation in a medium with fractal geometry Raoul Rashidovich Nigmatullin · physica status solidi (b) | 1986 | 711 |
| 42 | Ten Lectures on the Interface between Analytic Number Theory and Harmonic Analysis Hugh L. Montgomery · Regional conference series in mathematics | 11 Oct 1994 | 673 |
| 43 | On the term structure of interest rates L.Uri Dothan · Journal of Financial Economics | Mar 1978 | 668 |
| 44 | Values of Zeta Functions and Their Applications Don Bernard Zagier · Birkhäuser Basel eBooks | 1994 | 659 |
| 45 | High-Energy Behavior in Quantum Field Theory Steven Weinberg · Physical Review | May 1960 | 658 |
| 46 | Convergence of Bogoliubov's method of renormalization in momentum space W. Zimmermann · Communications in Mathematical Physics | Sep 1969 | 656 |
| 47 | On the ergodic properties of nowhere dispersing billiards Leonid Abramovich Bunimovich · Communications in Mathematical Physics | Oct 1979 | 654 |
| 48 | On the Existence of Invariant Measures for Piecewise Monotonic Transformations Andrzej Lasota, James A. Yorke | 1974 | 652 |
| 49 | SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS Leon Mirsky · The Quarterly Journal of Mathematics | 1960 | 636 |
| 50 | Quantum graphs: I. Some basic structures Peter Kuchment · Waves in Random Media | 2004 | 617 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.