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Proceedings of the National Academy of Sciences of the United States of America

Short Title: Proc. Natl. Acad. Sci. USA
Publisher: National Academy of Sciences, Washington, DC
ISSN: 0027-8424; 1091-6490/e
Online: https://www.pnas.org/content/by/year
Documents Indexed: 4,947 Publications (since 1915)
References Indexed: 718 Publications with 15,705 References.
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...and 660 more Volumes
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Authors

185 Miller, George Abram
80 Vandiver, Harry Schultz
67 Kasner, Edward
58 Walsh, Joseph Leonard
54 Thomas, Tracy Yerkes
53 Bellman, Richard Ernest
46 Morse, Marston
46 Murnaghan, Francis Dominic
43 de Cicco, John
41 Eisenhart, Luther Pfahler
39 Douglas, Jesse
37 Majda, Andrew J.
36 Bochner, Salomon
35 Bateman, Harry
35 Robbins, Herbert Ellis
34 Michal, Aristotle Demetrius
33 Browder, Felix Earl
33 Wilson, Edwin Bidwell
28 Hille, Einar
28 Moore, Robert Lee
24 Alexander, James Waddell
24 Birkhoff, George David
22 Whyburn, Gordon Thomas
21 Stein, Elias Menachem
21 Veblen, Oswald
20 Epstein, Paul Sophus
19 Kimura, Motoo
19 Lefschetz, Solomon
19 von Neumann, John
19 Whitney, Hassler
19 Wintner, Aurel
18 Albert, Abraham Adrian
18 Kalaba, Robert E.
18 Menger, Karl
18 Pekeris, Chaim Leib
18 Tolman, Richard Chace
17 Courant, Richard
16 Fefferman, Charles Louis
16 Mac Lane, Leslie Saunders
16 Samuelson, Paul Anthony
16 Spencer, Donald Clayton
16 Tamarkin, Jacob David
15 Bell, Eric Temple
15 Birkhoff, Garrett
15 Brauer, Richard
15 Chandrasekhar, Subrahmanyan
14 Barenblatt, Grigory Isaakovich
14 Chorin, Alexandre Joel
14 Karlin, Samuel
14 Kodaira, Kunihiko
14 Levinson, Norman
14 Thomas, Joseph Miller
14 Uhler, Horace Scudder
14 Widder, David Vernon
13 Evans, Griffith Conrad
13 Harish-Chandra
13 Kostant, Bertram
13 Rota, Gian-Carlo
13 Schwinger, Julian Seymore
13 Sternberg, Shlomo
13 Stone, Marshall Harvey
12 Eilenberg, Samuel
12 Huntington, Edward Vermilye
12 Sethian, James A.
11 Bagemihl, Frederick
11 Chowla, Sarvadaman
11 Chudnovsky, Gregory V.
11 Seidel, Wladimir
11 Smith, Paul Althaus
10 Cordoba, Diego
10 Kadison, Richard Vincent
10 Luyten, Willem Jacob
10 Nagylaki, Thomas
10 Ono, Ken
10 Rao, Calyampudi Radhakrishna
10 Rosenblatt, Murray
10 Trjitzinsky, Waldemar Joseph
10 Worcester, Jane
9 Chudnovsky, David V.
9 Duffin, Richard James
9 Hirschfelder, Joseph O.
9 Lai, Tze Leung
9 Motzkin, Theodore Samuel
9 Rainich, George Yuri
9 Ritt, Joseph Fels
9 Shapley, Harlow
9 Shiffman, Max
9 Ward, Morgan
9 Whitehead, John Henry Constantine
9 Wiener, Norbert
8 Boas, Ralph Philip jun.
8 Buerger, Martin J.
8 Chern, Shiing-Shen
8 Eyring, Henry
8 Fubini, Guido
8 Hua, Loo-Keng
8 Igusa, Jun-ichi
8 Jacobson, Nathan
8 Knebelman, Morris Samuel
8 Moore, Charles Napoleon
...and 3,936 more Authors
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Fields

371 Biology and other natural sciences (92-XX)
265 Statistics (62-XX)
153 Probability theory and stochastic processes (60-XX)
151 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
145 Number theory (11-XX)
143 Fluid mechanics (76-XX)
134 Partial differential equations (35-XX)
121 Quantum theory (81-XX)
110 Statistical mechanics, structure of matter (82-XX)
96 Differential geometry (53-XX)
88 Dynamical systems and ergodic theory (37-XX)
86 Combinatorics (05-XX)
86 Computer science (68-XX)
76 Manifolds and cell complexes (57-XX)
69 Numerical analysis (65-XX)
61 Group theory and generalizations (20-XX)
60 Algebraic geometry (14-XX)
59 Operations research, mathematical programming (90-XX)
59 Information and communication theory, circuits (94-XX)
57 Functional analysis (46-XX)
54 Nonassociative rings and algebras (17-XX)
50 Topological groups, Lie groups (22-XX)
48 Mechanics of deformable solids (74-XX)
46 Operator theory (47-XX)
44 Global analysis, analysis on manifolds (58-XX)
41 Geophysics (86-XX)
36 Algebraic topology (55-XX)
33 Linear and multilinear algebra; matrix theory (15-XX)
33 Several complex variables and analytic spaces (32-XX)
33 Harmonic analysis on Euclidean spaces (42-XX)
29 Ordinary differential equations (34-XX)
28 Calculus of variations and optimal control; optimization (49-XX)
27 Systems theory; control (93-XX)
26 Mathematical logic and foundations (03-XX)
25 Associative rings and algebras (16-XX)
24 Measure and integration (28-XX)
20 History and biography (01-XX)
20 Special functions (33-XX)
19 Category theory; homological algebra (18-XX)
19 Mechanics of particles and systems (70-XX)
18 Commutative algebra (13-XX)
18 Convex and discrete geometry (52-XX)
18 General topology (54-XX)
17 General and overarching topics; collections (00-XX)
17 Functions of a complex variable (30-XX)
17 Abstract harmonic analysis (43-XX)
16 Approximations and expansions (41-XX)
16 Relativity and gravitational theory (83-XX)
14 Astronomy and astrophysics (85-XX)
13 Geometry (51-XX)
12 Field theory and polynomials (12-XX)
12 Difference and functional equations (39-XX)
11 Potential theory (31-XX)
10 Real functions (26-XX)
10 Integral transforms, operational calculus (44-XX)
9 Optics, electromagnetic theory (78-XX)
8 Integral equations (45-XX)
8 Classical thermodynamics, heat transfer (80-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
3 Sequences, series, summability (40-XX)
2 \(K\)-theory (19-XX)

Publications by Year

Citations contained in zbMATH Open

3,282 Publications have been cited 47,449 times in 40,735 Documents Cited by Year
On the stability of the linear functional equation. Zbl 0061.26403
Hyers, D. H.
1941
Neural networks and physical systems with emergent collective computational abilities. Zbl 1369.92007
Hopfield, J. J.
999
1982
Equilibrium points in \(n\)-person games. Zbl 0036.01104
Nash, John F. jun.
771
1950
Neurons with graded response have collective computational properties like those of two-state neurons. Zbl 1371.92015
Hopfield, J. J.
759
1984
Vertex algebras, Kac-Moody algebras, and the monster. Zbl 0613.17012
Borcherds, Richard E.
482
1986
Community structure in social and biological networks. Zbl 1032.91716
Girvan, M.; Newman, M. E. J.
446
2002
Complete convergence and the law of large numbers. Zbl 0030.20101
Hsu, P. L.; Robbins, Herbert
403
1947
Fixed-point and minimax theorems in locally convex topological linear spaces. Zbl 0047.35103
Fan, Ky
388
1952
Statistical metrics. Zbl 0063.03886
Menger, Karl
378
1942
Nonexpansive nonlinear operators in a Banach space. Zbl 0128.35801
Browder, F. E.
374
1965
Stochastic games. Zbl 0051.35805
Shapley, L. S.
363
1953
Functorial semantics of algebraic theories. Zbl 0119.25901
Lawvere, F. W.
329
1963
A central limit theorem and a strong mixing condition. Zbl 0070.13804
Rosenblatt, M.
322
1956
Minimax theorems. Zbl 0050.06501
Fan, Ky
309
1953
On the contraction of groups and their representations. Zbl 0050.02601
Inönü, E.; Wigner, Eugene P.
290
1953
On the stability of the linear functional equation. JFM 67.0424.01
Hyers, D. H.
286
1941
On some exponential sums. Zbl 0032.26102
Weil, André
283
1948
A social equilibrium existence theorem. Zbl 0047.38804
Debreu, Gerard
277
1952
A fast marching level set method for monotonically advancing fronts. Zbl 0852.65055
Sethian, J. A.
272
1996
Optimally sparse representation in general (nonorthogonal) dictionaries via \(\ell^1\) minimization. Zbl 1064.94011
Donoho, David L.; Elad, Michael
254
2003
Bacterial swimming and oxygen transport near contact lines. Zbl 1277.35332
Tuval, Idan; Cisneros, Luis; Dombrowski, Christopher; Wolgemuth, Charles W.; Kessler, John O.; Goldstein, Raymond E.
229
2005
Fixed-point theorems for noncompact mappings in Hilbert space. Zbl 0125.35801
Browder, F. E.
228
1965
Systems of conservation equations with a convex extension. Zbl 0229.35061
Friedrichs, K. O.; Lax, P. D.
219
1971
Finite groups with fixed-point-free automorphisms of prime order. Zbl 0086.25101
Thompson, John G.
213
1959
Calabi’s conjecture and some new results in algebraic geometry. Zbl 0355.32028
Yau, Shing-Tung
206
1977
A characterization of Banach spaces containing \(l^1\). Zbl 0297.46013
Rosenthal, Haskell P.
206
1974
Burrau’s problem of three bodies. Zbl 0158.43206
Szebehely, Victor G.
191
1967
Convolution operators on Banach space valued functions. Zbl 0103.33402
Benedek, A.; Calderón, Alberto P.; Panzone, R.
190
1962
Group theoretical discussion of relativistic wave equations. Zbl 0030.42306
Bargmann, V.; Wigner, Eugene P.
184
1948
A class of Markov processes associated with nonlinear parabolic equations. Zbl 0149.13501
McKean, H. P. jun.
182
1966
A new approach to almost periodicity. Zbl 0112.31401
Bochner, Salomon
177
1962
Commutators of singular integral operators. Zbl 0151.16901
Calderón, Alberto P.
174
1965
On a generalization of the notion of manifold. Zbl 0074.18103
Satake, Ichirô
168
1956
Maximum properties and inequalities for the eigenvalues of completely continuous operators. Zbl 0044.11502
Fan, Ky
165
1951
Significance analysis of microarrays applied to the ionizing radiation response. Zbl 1012.92014
Tusher, Virginia Goss; Tibshirani, Robert; Chu, Gilbert
156
2001
A nonidentifiability aspect of the problem of competing risks. Zbl 0299.62066
Tsiatis, Anastasios
151
1975
Maximal functions. I: Spherical means. Zbl 0332.42018
Stein, Elias M.
146
1976
Nonlinear system theory: another look at dependence. Zbl 1135.62075
Wu, Wei Biao
146
2005
Discovering governing equations from data by sparse identification of nonlinear dynamical systems. Zbl 1355.94013
Brunton, Steven L.; Proctor, Joshua L.; Kutz, J. Nathan
143
2016
Hessian eigenmaps: locally linear embedding techniques for high-dimensional data. Zbl 1130.62337
Donoho, David L.; Grimes, Carrie
143
2003
Cauchy integrals on Lipschitz curves and related operators. Zbl 0373.44003
Calderon, A. P.
140
1977
Decision procedure for indefinite hypergeometric summation. Zbl 0384.40001
Gosper, R. William jun.
139
1978
Lyapunov functions for the problem of Lur’e in automatic control. Zbl 0113.07701
Kalman, R. E.
139
1963
On a ’monotonicity’ method for the solution of nonlinear equations in Banach spaces. Zbl 0124.07303
Minty, G. J.
139
1963
Statistical significance for genomewide studies. Zbl 1130.62385
Storey, John D.; Tibshirani, Robert
135
2003
Global models of growth and competition. Zbl 0272.92016
Gilpin, Michael E.; Ayala, Francisco J.
133
1973
Inequalities between the two kinds of eigenvalues of a linear transformation. Zbl 0032.38701
Weyl, Hermann
132
1949
A simple model of global cascades on random networks. Zbl 1022.90001
Watts, Duncan J.
131
2002
A class of bounded pseudo-differential operators. Zbl 0244.35074
Calderon, Alberto P.; Vaillancourt, Remi
129
1972
Approximate entropy as a measure of system complexity. Zbl 0756.60103
Pincus, Steven M.
127
1991
Dirichlet spaces. Zbl 0089.08201
Beurling, A.; Deny, Jacques
127
1959
The structure of scientific collaboration networks. Zbl 1065.00518
Newman, M. E. J.
127
2001
The spread of awareness and its impact on epidemic outbreaks. Zbl 1203.91242
Funk, Sebastian; Gilad, Erez; Watkins, Chris; Jansen, Vincent A. A.
125
2009
Quantum optical implementation of Grover’s algorithm. Zbl 0995.81014
Scully, Marlan O.; Zubairy, M. S.
125
2001
A nonparametric view of network models and Newman-Girvan and other modularities. Zbl 1359.62411
Bickel, Peter J.; Chen, Aiyou
120
2009
Hamiltonian systems and transformations in Hilbert space. Zbl 0002.05701
Koopman, B. O.
119
1931
Two theorems in graph theory. Zbl 0086.16202
Berge, Claude
117
1957
On regular rings. Zbl 0015.38802
von Neumann, John
116
1936
Infinite flag varieties and conjugacy theorems. Zbl 0512.17008
Peterson, Dale H.; Kac, Victor G.
114
1983
Dirac operators coupled to vector potentials. Zbl 0547.58033
Atiyah, Michael F.; Singer, I. M.
114
1984
On finite groups of even order whose 2-Sylow group is a quaternion group. Zbl 0090.01901
Brauer, Richard; Suzuki, Michio
113
1959
On sets of integers which contain no three terms in arithmetical progression. Zbl 0060.10302
Behrend, F. A.
110
1946
Calculus of twisted vertex operators. Zbl 0579.17010
Lepowsky, J.
109
1985
Solution of the Heawood map-coloring problem. Zbl 0155.51201
Ringel, Gerhard; Youngs, J. W. T.
108
1968
A natural representation of the Fischer-Griess monster with the modular function J as character. Zbl 0543.20016
Frenkel, I. B.; Lepowsky, J.; Meurman, A.
106
1984
Kählerian coset spaces of semisimple Lie groups. Zbl 0058.16002
Borel, Armand
106
1954
Modular invariant representations of infinite-dimensional Lie algebras and superalgebras. Zbl 0652.17010
Kac, Victor G.; Wakimoto, Minoru
106
1988
Spin and wedge representations of infinite-dimensional Lie algebras and groups. Zbl 0469.22016
Kac, Victor G.; Peterson, Dale H.
105
1981
Effect of inhomogeneity on cosmological models. Zbl 0009.04103
Tolman, Richard C.
105
1934
Synchronization in complex oscillator networks and smart grids. Zbl 1292.94185
Dörfler, Florian; Chertkov, Michael; Bullo, Francesco
104
2013
Randomized algorithms for the low-rank approximation of matrices. Zbl 1215.65080
Liberty, Edo; Woolfe, Franco; Martinsson, Per-Gunnar; Rokhlin, Vladimir; Tygert, Mark
104
2007
Unitary operator bases. Zbl 0090.19006
Schwinger, Julian
102
1960
A new technique for the construction of solutions of nonlinear differential equations. Zbl 0104.30503
Moser, Jürgen
101
1961
On Moulton’s orbits in the restricted problem of three bodies. Zbl 0202.56902
Szebehely, V.
100
1966
Information contents of distributions. Zbl 0128.14104
Wigner, Eugene P.; Yanase, M. M.
100
1963
Vertex representations of quantum affine algebras. Zbl 0662.17006
Frenkel, Igor B.; Jing, Naihuan
99
1988
Vaccination and the theory of games. Zbl 1064.91029
Bauch, Chris T.; Earn, David J. D.
98
2004
Continuous mappings of almost automorphic and almost periodic functions. Zbl 0134.30102
Bochner, Salomon
98
1964
Eigenvalues of the Laplace operator on certain manifolds. Zbl 0124.31202
Milnor, John W.
96
1964
Integration of stiff equations. Zbl 0046.13602
Curtiss, C.; Hirschfelder, J. O.
93
1952
Sequential Monte Carlo without likelihood. Zbl 1160.65005
Sisson, S. A.; Fan, Y.; Tanaka, Mark M.
93
2007
The degree of convergence of sequences of linear positive operators. Zbl 0164.07102
Shisha, O.; Mond, B.
91
1968
On the spectral geometry of spaces with cone-like singularities. Zbl 0411.58003
Cheeger, Jeff
90
1979
The cutoff phenomenon in finite Markov chains. Zbl 0849.60070
Diaconis, Persi
90
1996
Imprimitivity for representations of locally compact groups. I. Zbl 0035.06901
Mackey, George W.
90
1949
The average distances in random graphs with given expected degrees. Zbl 1064.05137
Chung, Fan; Lu, Linyuan
90
2002
Biregular classification of Fano 3-folds and Fano manifolds of coindex 3. Zbl 0679.14020
Mukai, Shigeru
89
1989
Computing geodesic paths on manifolds. Zbl 0908.65049
Kimmel, R.; Sethian, J. A.
88
1998
The multivariate \(L_1\)-median and associated data depth. Zbl 1054.62067
Vardi, Yehuda; Zhang, Cun-Hui
83
2000
Valuation equilibrium and Pareto optimum. Zbl 0055.38006
Debreu, Gerard
83
1954
Sparse and stable Markowitz portfolios. Zbl 1203.91271
Brodie, Joshua; Daubechies, Ingrid; De Mol, Christine; Giannone, Domenico; Loris, Ignace
83
2009
Numerical operator calculus in higher dimensions. Zbl 1008.65026
Beylkin, Gregory; Mohlenkamp, Martin J.
83
2002
A commutativity theorem for normal operators. Zbl 0035.35804
Fuglede, Bent
82
1950
A theorem on force-free magnetic fields. Zbl 0081.21703
Woltjer, L.
82
1958
Existence and approximation of solutions of nonlinear variational inequalities. Zbl 0148.13502
Browder, F. E.
82
1966
Asymptotic normality of linear rank statistics under alternatives. Zbl 0162.50503
Hajek, J.
82
1967
On homogeneous measure algebras. Zbl 0063.03723
Maharam, Dorothy
80
1942
Geometric diffusions as a tool for harmonic analysis and structure definition of data: diffusion maps. Zbl 1405.42043
Coifman, R. R.; Lafon, S.; Lee, A. B.; Maggioni, M.; Nadler, B.; Warner, F.; Zucker, S. W.
80
2005
The order of the antipode of finite-dimensional Hopf algebra. Zbl 0222.16012
Taft, Earl J.
79
1971
The independence of the continuum hypothesis. I, II. Zbl 0192.04401
Cohen, Paul Joseph
78
1964
Mining gold from implicit models to improve likelihood-free inference. Zbl 1461.62043
Brehmer, Johann; Louppe, Gilles; Pavez, Juan; Cranmer, Kyle
2
2020
Veridical data science. Zbl 1456.62321
Yu, Bin; Kumbier, Karl
1
2020
Topological data analysis of zebrafish patterns. Zbl 1456.92004
Mcguirl, Melissa R.; Volkening, Alexandria; Sandstede, Björn
1
2020
Reconciling modern machine-learning practice and the classical bias-variance trade-off. Zbl 1433.68325
Belkin, Mikhail; Hsu, Daniel; Ma, Siyuan; Mandal, Soumik
16
2019
Jensen polynomials for the Riemann zeta function and other sequences. Zbl 1431.11105
Griffin, Michael; Ono, Ken; Rolen, Larry; Zagier, Don
14
2019
A modern maximum-likelihood theory for high-dimensional logistic regression. Zbl 1431.62084
Sur, Pragya; Candès, Emmanuel J.
9
2019
Optimal errors and phase transitions in high-dimensional generalized linear models. Zbl 1416.62421
Barbier, Jean; Krzakala, Florent; Macris, Nicolas; Miolane, Léo; Zdeborová, Lenka
9
2019
Statistical dynamical model to predict extreme events and anomalous features in shallow water waves with abrupt depth change. Zbl 1416.76024
Majda, Andrew J.; Moore, M. N. J.; Qi, Di
9
2019
Data-driven discovery of coordinates and governing equations. Zbl 1433.68396
Champion, Kathleen; Lusch, Bethany; Kutz, Nathan; Brunton, Steven L.
7
2019
Inference and uncertainty quantification for noisy matrix completion. Zbl 1431.90117
Chen, Yuxin; Fan, Jianqing; Ma, Cong; Yan, Yuling
6
2019
Nonparametric inference of interaction laws in systems of agents from trajectory data. Zbl 1431.62122
Lu, Fei; Zhong, Ming; Tang, Sui; Maggioni, Mauro
6
2019
Fast scrambling on sparse graphs. Zbl 1416.81038
Bentsen, Gregory; Gu, Yingfei; Lucas, Andrew
6
2019
Turbulent mixing: a perspective. Zbl 1431.76057
Sreenivasan, Katepalli R.
5
2019
New Laplace and Helmholtz solvers. Zbl 1431.65224
Gopal, Abinand; Trefethen, Lloyd N.
5
2019
Definitions, methods, and applications in interpretable machine learning. Zbl 1431.62266
Murdoch, W. James; Singh, Chandan; Kumbier, Karl; Abbasi-Asl, Reza; Yu, Bin
4
2019
Markovian approaches to modeling intracellular reaction processes with molecular memory. Zbl 1431.92045
Zhang, Jiajun; Zhou, Tianshou
3
2019
Sampling can be faster than optimization. Zbl 1433.68397
Ma, Yi-An; Chen, Yuansi; Jin, Chi; Flammarion, Nicolas; Jordan, Michael I.
3
2019
Subdiffusive and superdiffusive transport in plane steady viscous flows. Zbl 1431.76119
Zaks, Michael A.; Nepomnyashchy, Alexander
3
2019
Learning data-driven discretizations for partial differential equations. Zbl 1431.65195
Bar-Sinai, Yohai; Hoyer, Stephan; Hickey, Jason; Brenner, Michael P.
3
2019
Geometry and arithmetic of crystallographic sphere packings. Zbl 1422.52009
Kontorovich, Alex; Nakamura, Kei
3
2019
The harmonic mean \(p\)-value for combining dependent tests. Zbl 1416.62303
Wilson, Daniel J.
3
2019
Bubble pinch-off in turbulence. Zbl 1456.76131
Ruth, Daniel J.; Mostert, Wouter; Perrard, Stéphane; Deike, Luc
3
2019
The Ramsey property implies no mad families. Zbl 1431.03063
Schrittesser, David; Törnquist, Asger
2
2019
Supernova, nuclear synthesis, fluid instabilities, and interfacial mixing. Zbl 1431.85002
Abarzhi, Snezhana I.; Bhowmick, Aklant K.; Naveh, Annie; Pandian, Arun; Swisher, Nora C.; Stellingwerf, Robert F.; Arnett, W. David
2
2019
Variational implicit-solvent predictions of the dry-wet transition pathways for ligand-receptor binding and unbinding kinetics. Zbl 1431.76162
Zhou, Shenggao; Weiß, R. Gregor; Cheng, Li-Tien; Dzubiella, Joachim; Mccammon, J. Andrew; Li, Bo
2
2019
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2
2019
Disconnection description of triple-junction motion. Zbl 1431.74039
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2
2019
New progress on the zeta function: from old conjectures to a major breakthrough. Zbl 1431.11104
Bombieri, Enrico
2
2019
Geometrically incompatible confinement of solids. Zbl 1416.74069
Davidovitch, Benny; Sun, Yiwei; Grason, Gregory M.
2
2019
A formula for the value of a stochastic game. Zbl 1456.91008
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2
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The importance of better models in stochastic optimization. Zbl 1431.90098
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1
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Hydrodynamics of random-organizing hyperuniform fluids. Zbl 1431.76041
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1
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Message passing on networks with loops. Zbl 1431.94214
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1
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1
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On the bounded generation of arithmetic \( \mathrm{SL}_2\). Zbl 1432.11029
Jordan, Bruce W.; Zaytman, Yevgeny
1
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Interface dynamics: mechanisms of stabilization and destabilization and structure of flow fields. Zbl 1431.76054
Abarzhi, Snezhana I.; Ilyin, Daniil V.; Goddard, William A. III; Anisimov, Sergei I.
1
2019
Second-order induction in prediction problems. Zbl 1431.91053
Argenziano, Rossella; Gilboa, Itzhak
1
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On the Bayesian interpretation of the harmonic mean \(p\)-value. Zbl 1431.62238
Held, Leonhard
1
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Bootstrapping variables in algebraic circuits. Zbl 1433.68151
Agrawal, Manindra; Ghosh, Sumanta; Saxena, Nitin
1
2019
Deep learning in turbulent convection networks. Zbl 1431.76063
Fonda, Enrico; Pandey, Ambrish; Schumacher, Jörg; Sreenivasan, Katepalli R.
1
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A mathematical theory of semantic development in deep neural networks. Zbl 1416.92018
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1
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Generalized network dismantling. Zbl 1418.90060
Ren, Xiao-Long; Gleinig, Niels; Helbing, Dirk; Antulov-Fantulin, Nino
1
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Almost partition identities. Zbl 1416.05026
Andrews, George E.; Ballantine, Cristina
1
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Quantum experiments and graphs. II: Quantum interference, computation, and state generation. Zbl 1416.81029
Gu, Xuemei; Erhard, Manuel; Zeilinger, Anton; Krenn, Mario
1
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Cellular interactions constrain tumor growth. Zbl 1416.92079
West, Jeffrey; Newton, Paul K.
1
2019
Adaptive, locally linear models of complex dynamics. Zbl 1416.37066
Costa, Antonio C.; Ahamed, Tosif; Stephens, Greg J.
1
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Arithmetic of arithmetic Coxeter groups. Zbl 07076429
Milea, Suzana; Shelley, Christopher D.; Weissman, Martin H.
1
2019
Semisoft clustering of single-cell data. Zbl 1416.62631
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1
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Single degree of freedom everting ring linkages with nonorientable topology. Zbl 1416.70008
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1
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Newcomb-Benford law and the detection of frauds in international trade. Zbl 1418.91308
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1
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Estimation of emigration, return migration, and transit migration between all pairs of countries. Zbl 1418.91419
Azose, Jonathan J.; Raftery, Adrian E.
1
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Reflective prolate-spheroidal operators and the KP/KdV equations. Zbl 1462.35330
Casper, W. Riley; Grünbaum, F. Alberto; Yakimov, Milen; Zurrián, Ignacio
1
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Evolutionary dynamics with game transitions. Zbl 1456.91018
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1
2019
Solving high-dimensional partial differential equations using deep learning. Zbl 1416.35137
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Computation of extreme heat waves in climate models using a large deviation algorithm. Zbl 1416.86013
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11
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Rogue waves and large deviations in deep sea. Zbl 1416.76021
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10
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Material barriers to diffusive and stochastic transport. Zbl 1416.76303
Haller, George; Karrasch, Daniel; Kogelbauer, Florian
10
2018
Radiative heating achieves the ultimate regime of thermal convection. Zbl 1416.76300
Lepot, Simon; Aumaître, Sébastien; Gallet, Basile
10
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Sequential sampling strategy for extreme event statistics in nonlinear dynamical systems. Zbl 1416.62279
Mohamad, Mustafa A.; Sapsis, Themistoklis P.
7
2018
Maximum principles and Bôcher type theorems. Zbl 1440.35343
Li, Congming; Wu, Zhigang; Xu, Hao
7
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Geometric hydrodynamics via Madelung transform. Zbl 1416.58006
Khesin, Boris; Misiolek, Gerard; Modin, Klas
6
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Global spectral clustering in dynamic networks. Zbl 1418.91430
Liu, Fuchen; Choi, David; Xie, Lu; Roeder, Kathryn
5
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Gravitational allocation on the sphere. Zbl 1419.60010
Holden, Nina; Peres, Yuval; Zhai, Alex
5
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Gene expression distribution deconvolution in single-cell RNA sequencing. Zbl 1416.62625
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Toward the first quantum simulation with quantum speedup. Zbl 1415.68107
Childs, Andrew M.; Maslov, Dmitri; Nam, Yunseong; Ross, Neil J.; Su, Yuan
4
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Universal quantum Hamiltonians. Zbl 1416.82008
Cubitt, Toby S.; Montanaro, Ashley; Piddock, Stephen
4
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Iterative random forests to discover predictive and stable high-order interactions. Zbl 1416.62594
Basu, Sumanta; Kumbier, Karl; Brown, James B.; Yu, Bin
3
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Variational structure of Luttinger-Ward formalism and bold diagrammatic expansion for Euclidean lattice field theory. Zbl 1416.81122
Lin, Lin; Lindsey, Michael
3
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Fluctuations uncover a distinct class of traveling waves. Zbl 1416.35140
Birzu, Gabriel; Hallatschek, Oskar; Korolev, Kirill S.
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Local structure can identify and quantify influential global spreaders in large scale social networks. Zbl 1416.94083
Hu, Yanqing; Ji, Shenggong; Jin, Yuliang; Feng, Ling; Stanley, H. Eugene; Havlin, Shlomo
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Inferring dynamic topology for decoding spatiotemporal structures in complex heterogeneous networks. Zbl 1416.34030
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Touboul, Jonathan David; Staver, Ann Carla; Levin, Simon Asher
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Randomly distributed embedding making short-term high-dimensional data predictable. Zbl 1416.62539
Ma, Huanfei; Leng, Siyang; Aihara, Kazuyuki; Lin, Wei; Chen, Luonan
3
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Baykur, R. İnanç; Saeki, Osamu
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Bausch, Johannes; Cubitt, Toby S.; Lucia, Angelo; Perez-Garcia, David; Wolf, Michael M.
2
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Localizing softness and stress along loops in 3D topological metamaterials. Zbl 1416.74013
Baardink, Guido; Souslov, Anton; Paulose, Jayson; Vitelli, Vincenzo
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Origin of Jupiter’s cloud-level zonal winds remains a puzzle even after juno. Zbl 1416.85009
Kong, Dali; Zhang, Keke; Schubert, Gerald; Anderson, John D.
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Predicting tipping points in mutualistic networks through dimension reduction. Zbl 1416.92180
Jiang, Junjie; Huang, Zi-Gang; Seager, Thomas P.; Lin, Wei; Grebogi, Celso; Hastings, Alan; Lai, Ying-Cheng
2
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Projection pursuit in high dimensions. Zbl 1416.62320
Bickel, Peter J.; Kur, Gil; Nadler, Boaz
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Asymptotic theory of rerandomization in treatment-control experiments. Zbl 1416.62440
Li, Xinran; Ding, Peng; Rubin, Donald B.
2
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Bridge trisections of knotted surfaces in 4-manifolds. Zbl 1418.57017
Meier, Jeffrey; Zupan, Alexander
2
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Generalized trisections in all dimensions. Zbl 1421.57032
Rubinstein, J. Hyam; Tillmann, Stephan
2
2018
Completely top-down hierarchical structure in quantum mechanics. Zbl 1416.81073
Aharonov, Yakir; Cohen, Eliahu; Tollaksen, Jeff
2
2018
Universality of jamming of nonspherical particles. Zbl 1416.82026
Brito, Carolina; Ikeda, Harukuni; Urbani, Pierfrancesco; Wyart, Matthieu; Zamponi, Francesco
2
2018
Mathematical picture language program. Zbl 1416.00023
Jaffe, Arthur M.; Liu, Zhengwei
1
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Fast flow-based algorithm for creating density-equalizing map projections. Zbl 1416.62666
Gastner, Michael T.; Seguy, Vivien; More, Pratyush
1
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Weak Galilean invariance as a selection principle for coarse-grained diffusive models. Zbl 1416.82023
Cairoli, Andrea; Klages, Rainer; Baule, Adrian
1
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Self-organized criticality and pattern emergence through the lens of tropical geometry. Zbl 1416.14004
Kalinin, Nikita; Guzmán-Sáenz, A.; Prieto, Y.; Shkolnikov, M.; Kalinina, V.; Lupercio, E.
1
2018
Cryptographic hashing using chaotic hydrodynamics. Zbl 1416.94052
Gilpin, William
1
2018
Complex role of NK cells in regulation of oncolytic virus-bortezomib therapy. Zbl 1416.92051
Kim, Yangjin; Yoo, Ji Young; Lee, Tae Jin; Liu, Joseph; Yu, Jianhua; Caligiuri, Michael A.; Kaur, Balveen; Friedman, Avner
1
2018
Stephen Hawking (1942–2018): toward a complete understanding of the universe. Zbl 1416.83002
Hartle, James
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Universal folding pathways of polyhedron nets. Zbl 1416.92129
Dodd, Paul M.; Damasceno, Pablo F.; Glotzer, Sharon C.
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2018
Topological localization in out-of-equilibrium dissipative systems. Zbl 1416.82027
Dasbiswas, Kinjal; Mandadapu, Kranthi K.; Vaikuntanathan, Suriyanarayanan
1
2018
Polyhedra and packings from hyperbolic honeycombs. Zbl 1416.52008
Pedersen, Martin Cramer; Hyde, Stephen T.
1
2018
Confinement transition of \(\mathbb{Z_2}\) gauge theories coupled to massless fermions: emergent quantum chromodynamics and \(\mathrm{SO}(5)\) symmetry. Zbl 1416.81205
Gazit, Snir; Assaad, Fakher F.; Sachdev, Subir; Vishwanath, Ashvin; Wang, Chong
1
2018
Generalized least squares can overcome the critical threshold in respondent-driven sampling. Zbl 1416.62091
Roch, Sebastien; Rohe, Karl
1
2018
A new invariant of 4-manifolds. Zbl 1421.57031
Kirby, Robion; Thompson, Abigail
1
2018
Entanglement and thermodynamics after a quantum quench in integrable systems. Zbl 1404.82033
Alba, Vincenzo; Calabrese, Pasquale
17
2017
Overcoming catastrophic forgetting in neural networks. Zbl 1404.92015
Kirkpatrick, James; Pascanu, Razvan; Rabinowitz, Neil; Veness, Joel; Desjardins, Guillaume; Rusu, Andrei A.; Milan, Kieran; Quan, John; Ramalho, Tiago; Grabska-Barwinska, Agnieszka; Hassabis, Demis; Clopath, Claudia; Kumaran, Dharshan; Hadsell, Raia
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2017
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187 Park, Choonkil
105 Eshaghi Gordji, Madjid
85 Majda, Andrew J.
78 Jung, Soon-Mo
71 Rassias, John Michael
55 Dong, Chongying
54 Cao, Jinde
51 Cho, Yeol Je
50 Lee, Yang-Hi
47 Browder, Felix Earl
46 Lee, Jung-Rye
43 Bellman, Richard Ernest
43 Bringmann, Kathrin
41 Li, Haisheng
41 Rassias, Themistocles Michael
41 Winkler, Michael
40 Brzdęk, Janusz
40 Kac, Victor G.
39 Wang, Xuejun
38 Kim, Hark-Mahn
37 Jing, Naihuan
37 Najati, Abbas
36 Nagurney, Anna
36 Stein, Elias Menachem
35 Bodaghi, Abasalt
34 Nowak, Martin Andreas
34 Shin, Dong-Yun
33 Fefferman, Charles Louis
33 Huang, Lihong
33 Kumam, Poom
33 Zada, Akbar
32 Chung, Jaeyoung
32 Saadati, Reza
32 Sung, Soohak
32 Wu, Wei Biao
31 Ezzinbi, Khalil
31 Feldman, Marcus W.
31 Kalaba, Robert E.
31 Kevrekidis, Ioannis George
31 N’Guérékata, Gaston Mandata
31 Qin, Xiaolong
31 Shumyatsky, Pavel
30 Khan, Mohammed Ali
30 Ono, Ken
30 Volodin, Andrei I.
29 Ding, Yong
29 Lepowsky, James
28 El-Fassi, Iz-Iddine
27 Agarwal, Ravi P.
27 Ebadian, Ali
27 Kim, Gwang Hui
27 Yao, Jen-Chih
26 Cordoba, Diego
26 Huang, Yi-Zhi
26 Khamsi, Mohamed Amine
26 Khodaei, Hamid
26 Kurths, Jürgen
26 Walsh, Joseph Leonard
25 Brunton, Steven L.
25 Hipel, Keith William
25 Hu, Shuhe
25 Kutz, J. Nathan
25 McCrimmon, Kevin
25 Petryshyn, Walter Wolodymyr
25 Popa, Dorian
24 Andrews, George Eyre
24 Chen, William Yong-Chuan
24 Chidume, Charles Ejike
24 Kabbaj, Samir
24 Marchi, Ezio
24 Shang, Pengjian
23 Chen, Pingyan
23 Karlin, Samuel
23 Karniadakis, George Em
23 Kilgour, D. Marc
23 Linshaw, Andrew Ross
22 Chang, Shih-Sen
22 Ding, Xie Ping
22 Dolbeault, Jean
22 Fan, Jianqing
22 Kang, Shin Min
22 Lu, Guozhen
22 Mesiar, Radko
22 Osher, Stanley Joel
22 Park, Wongil
22 Sintunavarat, Wutiphol
22 Traulsen, Arne
22 Xue, Qingying
21 Bae, Jae-Hyeong
21 Creutzig, Thomas
21 Gancedo, Francisco
21 Ito, Masayuki
21 Lam, Ching Hung
21 Liao, Xiaofeng
21 Moslehian, Mohammad Sal
21 Shah, Kamal
21 Wu, Jianhong
20 Chang, Ick-Soon
20 Coja-Oghlan, Amin
20 Jun, Kil-Woung
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Cited in 1,273 Journals

1,018 Journal of Mathematical Analysis and Applications
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288 Journal of Differential Equations
257 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
252 Inventiones Mathematicae
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225 Proceedings of the National Academy of Sciences of the United States of America
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210 Physica D
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182 Topology and its Applications
181 Archive for Rational Mechanics and Analysis
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179 Archiv der Mathematik
179 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
176 Journal of High Energy Physics
171 Discrete Mathematics
168 Fuzzy Sets and Systems
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162 The Annals of Statistics
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145 Annales de l’Institut Fourier
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140 Physica A
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139 European Journal of Operational Research
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131 Games and Economic Behavior
130 Mathematical Notes
128 Stochastic Processes and their Applications
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125 Annali di Matematica Pura ed Applicata. Serie Quarta
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110 Journal d’Analyse Mathématique
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109 Biological Cybernetics
109 Applied and Computational Harmonic Analysis
108 Discrete Applied Mathematics
108 Results in Mathematics
107 Bulletin of the Australian Mathematical Society
106 The Journal of Geometric Analysis
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105 Proceedings of the Japan Academy
104 Celestial Mechanics and Dynamical Astronomy
101 Applied Mathematics Letters
100 Communications in Nonlinear Science and Numerical Simulation
99 Mathematical and Computer Modelling
98 Manuscripta Mathematica
98 Probability Theory and Related Fields
97 Nagoya Mathematical Journal
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Cited in 63 Fields

4,198 Biology and other natural sciences (92-XX)
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102 \(K\)-theory (19-XX)
86 Sequences, series, summability (40-XX)
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