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exaly
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Department of Mathematics
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top-articles
Department of Mathematics
1.4K
(top 0.1%)
papers
32.2K
(top 1%)
citations
85
(top 0.1%)
h
-index
140
(top 1%)
g
-index
1.6K
all documents
36.1K
doc citations
2.9K
citing journals
Top Articles
#
Title
Journal
Year
Citations
1
Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps
Proceedings of the National Academy of Sciences of the United States of America
2005
1,314
2
Advanced Mathematical Methods for Scientists and Engineers I
1999
1,100
3
Basic representations of affine Lie algebras and dual resonance models
Inventiones Mathematicae
1980
721
4
Diffusion wavelets
Applied and Computational Harmonic Analysis
2006
527
5
Diffusion maps, spectral clustering and reaction coordinates of dynamical systems
Applied and Computational Harmonic Analysis
2006
440
6
Quantum affine algebras and holonomic difference equations
Communications in Mathematical Physics
1992
439
7
Fast interpolation-based t-SNE for improved visualization of single-cell RNA-seq data
Nature Methods
2019
389
8
Numerical investigation of transitional and weak turbulent flow past a sphere
Journal of Fluid Mechanics
2000
354
9
A Variational Approach to Reconstructing Images Corrupted by Poisson Noise
Journal of Mathematical Imaging and Vision
2007
316
10
Analyticity of sets associated to Lelong numbers and the extension of closed positive currents
Inventiones Mathematicae
1974
288
11
The narrow escape problem for diffusion in cellular microdomains
Proceedings of the National Academy of Sciences of the United States of America
2007
285
12
Graded Lie algebras in mathematics and physics (Bose-Fermi symmetry)
Reviews of Modern Physics
1975
281
13
Expanded analogy between Boltzmann kinetic theory of fluids and turbulence
Journal of Fluid Mechanics
2004
279
14
Construction of the affine Lie algebraA 1 (1)
Communications in Mathematical Physics
1978
273
15
Monodromy of hypergeometric functions and non-lattice integral monodromy
Publications Mathematiques De L'Institut Des Hautes Etudes Scientifiques
1986
270
16
Notes on Perelman’s papers
Geometry and Topology
2008
268
17
A fast direct solver for boundary integral equations in two dimensions
Journal of Computational Physics
2005
233
18
Brushlets: A Tool for Directional Image Analysis and Image Compression
Applied and Computational Harmonic Analysis
1997
224
19
From graph to manifold Laplacian: The convergence rate
Applied and Computational Harmonic Analysis
2006
207
20
Lie algebra homology and the Macdonald-Kac formulas
Inventiones Mathematicae
1976
203
21
A non-standard representation for Brownian Motion and Itô integration
Israel Journal of Mathematics
1976
202
22
Local discriminant bases and their applications
Journal of Mathematical Imaging and Vision
1995
202
23
Rectifiable sets and the Traveling Salesman Problem
Inventiones Mathematicae
1990
201
24
Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory
Journal of Functional Analysis
1981
198
25
Defective colorings of graphs in surfaces: Partitions into subgraphs of bounded valency
Journal of Graph Theory
1986
187
26
Modular Lie Algebras
1967
187
27
Vertex representations of quantum affine algebras
Proceedings of the National Academy of Sciences of the United States of America
1988
182
28
Chemical modifier screen identifies HDAC inhibitors as suppressors of PKD models
Proceedings of the National Academy of Sciences of the United States of America
2009
182
29
Geometric diffusions as a tool for harmonic analysis and structure definition of data: Multiscale methods
Proceedings of the National Academy of Sciences of the United States of America
2005
179
30
Every Stein subvariety admits a Stein neighborhood
Inventiones Mathematicae
1976
175
31
Isomorphism of two realizations of quantum affine algebra $$U_q (\widehat{\mathfrak{g}\mathfrak{l}{\text{(}}n{\text{)}}})$$
Communications in Mathematical Physics
1993
167
32
A fast transform for spherical harmonics
Journal of Fourier Analysis and Applications
1999
165
33
Reduction of the Einstein equations in 2+1 dimensions to a Hamiltonian system over Teichmüller space
Journal of Mathematical Physics
1989
162
34
Fast and accurate Polar Fourier transform
Applied and Computational Harmonic Analysis
2006
159
35
The Capelli identity, the double commutant theorem, and multiplicity-free actions
Mathematische Annalen
1991
158
36
Besov-Morrey spaces: Function space theory and applications to non-linear PDE
Transactions of the American Mathematical Society
2002
157
37
The synthesis and rendering of eroded fractal terrains
Computer Graphics
1989
156
38
Generic Galois extensions and problems in field theory
Advances in Mathematics
1982
152
39
Four‐dimensional topological quantum field theory, Hopf categories, and the canonical bases
Journal of Mathematical Physics
1994
152
40
Hausdorff dimension and Kleinian groups
Acta Mathematica
1997
152
41
Motivic amplitudes and cluster coordinates
Journal of High Energy Physics
2014
147
42
The synthesis and rendering of eroded fractal terrains
1989
145
43
Logarithm laws for flows on homogeneous spaces
Inventiones Mathematicae
1999
144
44
The arithmetic theory of loop groups
Publications Mathematiques De L'Institut Des Hautes Etudes Scientifiques
1980
142
45
Graph Laplacian Tomography From Unknown Random Projections
IEEE Transactions on Image Processing
2008
142
46
Quantum mechanics and partial differential equations
Journal of Functional Analysis
1980
140
47
Conducteur des repr�sentations du groupe lin�aire
Mathematische Annalen
1981
140
48
Non-linear independent component analysis with diffusion maps
Applied and Computational Harmonic Analysis
2008
140
49
Hamilton–Jacobi theory and the heat kernel on Heisenberg groups
Journal Des Mathematiques Pures Et Appliquees
2000
139
50
Generalized Morse sequences
Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete
1968
138
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