Department of Mathematics

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#	Title	Journal	Year	Citations
1	The partial differential equation ut + uux = μxx	Communications on Pure and Applied Mathematics	1950	1,764
2	Weakly Differentiable Functions	Graduate Texts in Mathematics	1989	1,440
3	Power Vectors: An Application of Fourier Analysis to the Description and Statistical Analysis of Refractive Error	Optometry and Vision Science	1997	965
4	C1 + α local regularity of weak solutions of degenerate elliptic equations	Nonlinear Analysis: Theory, Methods & Applications	1983	841
5	Inertial manifolds for nonlinear evolutionary equations	Journal of Differential Equations	1988	590
6	On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations	Journal of Mathematical Physics	1977	584
7	Topological quantum computation	Bulletin of the American Mathematical Society	2002	467
8	On operator ranges	Advances in Mathematics	1971	394
9	The Phylogenetic Mixed Model	American Naturalist	2004	252
10	The gap lemma and geometric criteria for instability of viscous shock profiles	Communications on Pure and Applied Mathematics	1998	242
11	General Griffiths' Inequalities on Correlations in Ising Ferromagnets	Journal of Mathematical Physics	1968	235
12	Stability of Matter. II	Journal of Mathematical Physics	1968	233
13	Nonparametric methods in factorial designs	Statistical Papers	2001	231
14	Spatial Modeling of Regional Variables	Journal of the American Statistical Association	1989	222
15	Singularity formation in a collisionless plasma could occur only at high velocities	Archive for Rational Mechanics and Analysis	1986	219
16	On a Leray–α model of turbulence	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences	2005	215
17	Strong convergence to global solutions for multidimensional flows of compressible, viscous fluids with polytropic equations of state and discontinuous initial data	Archive for Rational Mechanics and Analysis	1995	210
18	Finite-time blow-up for solutions of nonlinear wave equations	Mathematische Zeitschrift	1981	199
19	Basic Properties of Strong Mixing Conditions		1986	197
20	Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations	Journal of Dynamics and Differential Equations	1989	196
21	Comments on two fixed point iteration methods	Journal of Mathematical Analysis and Applications	1976	191
22	The proof of the l^2 Decoupling Conjecture	Annals of Mathematics	2015	189
23	Common Principal Components inkGroups	Journal of the American Statistical Association	1984	187
24	Blow-up theorems for nonlinear wave equations	Mathematische Zeitschrift	1973	180
25	On the functional central limit theorem and the law of the iterated logarithm for Markov processes	Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete	1982	178
26	Knot concordance, Whitney towers and L²-signatures	Annals of Mathematics	2003	174
27	Oscillatory Zoning in Plagioclase Feldspar	Science	1980	156
28	Existence in the large for ?u=F(u) in two space dimensions	Mathematische Zeitschrift	1981	156
29	Absence of shocks in an initially dilute collisionless plasma	Communications in Mathematical Physics	1987	155
30	Long time stability and convergence for fully discrete nonlinear galerkin methods	Applicable Analysis	1990	155
31	Coalgebraic logic	Annals of Pure and Applied Logic	1999	154
32	Proof of the main conjecture in Vinogradov's Mean Value Theorem \break for degrees higher than three	Annals of Mathematics	2016	153
33	On a completely integrable nonlinear hyperbolic variational equation	Physica D: Nonlinear Phenomena	1994	150
34	Pointwise decay estimates for multidimensional Navier-Stokes diffusion waves	Zeitschrift Fur Angewandte Mathematik Und Physik	1997	150
35	Determinantal probability measures	Publications Mathematiques De L'Institut Des Hautes Etudes Scientifiques	2003	144
36	Polynomial diffeomorphisms of C2: currents, equilibrium measure and hyperbolicity	Inventiones Mathematicae	1991	143
37	L 2 cohomology of warped products and arithmetic groups	Inventiones Mathematicae	1982	141
38	Almost convergence of double sequences and strong regularity of summability matrices	Mathematical Proceedings of the Cambridge Philosophical Society	1988	140
39	Asymptotic Enumeration of Spanning Trees	Combinatorics Probability and Computing	2005	140
40	Group-invariant Percolation on Graphs	Geometric and Functional Analysis	1999	139
41	Fixed and periodic point results in cone metric spaces	Applied Mathematics Letters	2009	138
42	On some geometric aspects of Bruhat orderings. I. A finer decomposition of Bruhat cells	Inventiones Mathematicae	1985	134
43	Energy dissipation in body-forced turbulence	Journal of Fluid Mechanics	2002	132
44	A regularity condition at the boundary for solutions of quasilinear elliptic equations	Archive for Rational Mechanics and Analysis	1977	129
45	Weighted sensitivity minimization for delay systems	IEEE Transactions on Automatic Control	1986	119
46	Global existence of solutions to the Cauchy problem for time‐dependent Hartree equations	Journal of Mathematical Physics	1975	118
47	Ergodic theory on Galton—Watson trees: speed of random walk and dimension of harmonic measure	Ergodic Theory and Dynamical Systems	1995	114
48	Fixed point theorems in generalized partially ordered Fine topology, Šilov boundary, and (ddc)n	Journal of Functional Analysis	1987	111
50	The Two-Eigenvalue Problem and Density¶of Jones Representation of Braid Groups	Communications in Mathematical Physics	2002	111

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