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Top Articles

#TitleJournalYearCitations
1Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion mapsProceedings of the National Academy of Sciences of the United States of America20051,314
2Advanced Mathematical Methods for Scientists and Engineers I19991,100
3Basic representations of affine Lie algebras and dual resonance modelsInventiones Mathematicae1980721
4Diffusion waveletsApplied and Computational Harmonic Analysis2006527
5Diffusion maps, spectral clustering and reaction coordinates of dynamical systemsApplied and Computational Harmonic Analysis2006440
6Quantum affine algebras and holonomic difference equationsCommunications in Mathematical Physics1992439
7Fast interpolation-based t-SNE for improved visualization of single-cell RNA-seq dataNature Methods2019389
8Numerical investigation of transitional and weak turbulent flow past a sphereJournal of Fluid Mechanics2000354
9A Variational Approach to Reconstructing Images Corrupted by Poisson NoiseJournal of Mathematical Imaging and Vision2007316
10Analyticity of sets associated to Lelong numbers and the extension of closed positive currentsInventiones Mathematicae1974288
11The narrow escape problem for diffusion in cellular microdomainsProceedings of the National Academy of Sciences of the United States of America2007285
12Graded Lie algebras in mathematics and physics (Bose-Fermi symmetry)Reviews of Modern Physics1975281
13Expanded analogy between Boltzmann kinetic theory of fluids and turbulenceJournal of Fluid Mechanics2004279
14Construction of the affine Lie algebraA 1 (1)Communications in Mathematical Physics1978273
15Monodromy of hypergeometric functions and non-lattice integral monodromyPublications Mathematiques De L'Institut Des Hautes Etudes Scientifiques1986270
16Notes on Perelman’s papersGeometry and Topology2008268
17A fast direct solver for boundary integral equations in two dimensionsJournal of Computational Physics2005233
18Brushlets: A Tool for Directional Image Analysis and Image CompressionApplied and Computational Harmonic Analysis1997224
19From graph to manifold Laplacian: The convergence rateApplied and Computational Harmonic Analysis2006207
20Lie algebra homology and the Macdonald-Kac formulasInventiones Mathematicae1976203
21A non-standard representation for Brownian Motion and Itô integrationIsrael Journal of Mathematics1976202
22Local discriminant bases and their applicationsJournal of Mathematical Imaging and Vision1995202
23Rectifiable sets and the Traveling Salesman ProblemInventiones Mathematicae1990201
24Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theoryJournal of Functional Analysis1981198
25Defective colorings of graphs in surfaces: Partitions into subgraphs of bounded valencyJournal of Graph Theory1986187
26Modular Lie Algebras1967187
27Vertex representations of quantum affine algebrasProceedings of the National Academy of Sciences of the United States of America1988182
28Chemical modifier screen identifies HDAC inhibitors as suppressors of PKD modelsProceedings of the National Academy of Sciences of the United States of America2009182
29Geometric diffusions as a tool for harmonic analysis and structure definition of data: Multiscale methodsProceedings of the National Academy of Sciences of the United States of America2005179
30Every Stein subvariety admits a Stein neighborhoodInventiones Mathematicae1976175
31Isomorphism of two realizations of quantum affine algebra $$U_q (\widehat{\mathfrak{g}\mathfrak{l}{\text{(}}n{\text{)}}})$$Communications in Mathematical Physics1993167
32A fast transform for spherical harmonicsJournal of Fourier Analysis and Applications1999165
33Reduction of the Einstein equations in 2+1 dimensions to a Hamiltonian system over Teichmüller spaceJournal of Mathematical Physics1989162
34Fast and accurate Polar Fourier transformApplied and Computational Harmonic Analysis2006159
35The Capelli identity, the double commutant theorem, and multiplicity-free actionsMathematische Annalen1991158
36Besov-Morrey spaces: Function space theory and applications to non-linear PDETransactions of the American Mathematical Society2002157
37The synthesis and rendering of eroded fractal terrainsComputer Graphics1989156
38Generic Galois extensions and problems in field theoryAdvances in Mathematics1982152
39Four‐dimensional topological quantum field theory, Hopf categories, and the canonical basesJournal of Mathematical Physics1994152
40Hausdorff dimension and Kleinian groupsActa Mathematica1997152
41Motivic amplitudes and cluster coordinatesJournal of High Energy Physics2014147
42The synthesis and rendering of eroded fractal terrains1989145
43Logarithm laws for flows on homogeneous spacesInventiones Mathematicae1999144
44The arithmetic theory of loop groupsPublications Mathematiques De L'Institut Des Hautes Etudes Scientifiques1980142
45Graph Laplacian Tomography From Unknown Random ProjectionsIEEE Transactions on Image Processing2008142
46Quantum mechanics and partial differential equationsJournal of Functional Analysis1980140
47Conducteur des repr�sentations du groupe lin�aireMathematische Annalen1981140
48Non-linear independent component analysis with diffusion mapsApplied and Computational Harmonic Analysis2008140
49Hamilton–Jacobi theory and the heat kernel on Heisenberg groupsJournal Des Mathematiques Pures Et Appliquees2000139
50Generalized Morse sequencesZeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete1968138