# zbMATH — the first resource for mathematics

## 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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#### 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)

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Group theoretical discussion of relativistic wave equations. Zbl 0030.42306
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A class of Markov processes associated with nonlinear parabolic equations. Zbl 0149.13501
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Commutators of singular integral operators. Zbl 0151.16901
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Maximum properties and inequalities for the eigenvalues of completely continuous operators. Zbl 0044.11502
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Significance analysis of microarrays applied to the ionizing radiation response. Zbl 1012.92014
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A nonidentifiability aspect of the problem of competing risks. Zbl 0299.62066
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Nonlinear system theory: another look at dependence. Zbl 1135.62075
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Discovering governing equations from data by sparse identification of nonlinear dynamical systems. Zbl 1355.94013
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Hessian eigenmaps: locally linear embedding techniques for high-dimensional data. Zbl 1130.62337
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Cauchy integrals on Lipschitz curves and related operators. Zbl 0373.44003
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Decision procedure for indefinite hypergeometric summation. Zbl 0384.40001
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Lyapunov functions for the problem of Lur’e in automatic control. Zbl 0113.07701
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On a ’monotonicity’ method for the solution of nonlinear equations in Banach spaces. Zbl 0124.07303
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Statistical significance for genomewide studies. Zbl 1130.62385
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Inequalities between the two kinds of eigenvalues of a linear transformation. Zbl 0032.38701
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A simple model of global cascades on random networks. Zbl 1022.90001
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Approximate entropy as a measure of system complexity. Zbl 0756.60103
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Dirichlet spaces. Zbl 0089.08201
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The structure of scientific collaboration networks. Zbl 1065.00518
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The spread of awareness and its impact on epidemic outbreaks. Zbl 1203.91242
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Quantum optical implementation of Grover’s algorithm. Zbl 0995.81014
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A nonparametric view of network models and Newman-Girvan and other modularities. Zbl 1359.62411
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Two theorems in graph theory. Zbl 0086.16202
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Infinite flag varieties and conjugacy theorems. Zbl 0512.17008
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Dirac operators coupled to vector potentials. Zbl 0547.58033
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2007
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A new technique for the construction of solutions of nonlinear differential equations. Zbl 0104.30503
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Vaccination and the theory of games. Zbl 1064.91029
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1964
Eigenvalues of the Laplace operator on certain manifolds. Zbl 0124.31202
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2000
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1954
Sparse and stable Markowitz portfolios. Zbl 1203.91271
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2009
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2002
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1950
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1966
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Geometric diffusions as a tool for harmonic analysis and structure definition of data: diffusion maps. Zbl 1405.42043
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2005
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1971
The independence of the continuum hypothesis. I, II. Zbl 0192.04401
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1964
Mining gold from implicit models to improve likelihood-free inference. Zbl 1461.62043
Brehmer, Johann; Louppe, Gilles; Pavez, Juan; Cranmer, Kyle
2020
Veridical data science. Zbl 1456.62321
Yu, Bin; Kumbier, Karl
2020
Topological data analysis of zebrafish patterns. Zbl 1456.92004
Mcguirl, Melissa R.; Volkening, Alexandria; Sandstede, Björn
2020
Reconciling modern machine-learning practice and the classical bias-variance trade-off. Zbl 1433.68325
Belkin, Mikhail; Hsu, Daniel; Ma, Siyuan; Mandal, Soumik
2019
Jensen polynomials for the Riemann zeta function and other sequences. Zbl 1431.11105
Griffin, Michael; Ono, Ken; Rolen, Larry; Zagier, Don
2019
A modern maximum-likelihood theory for high-dimensional logistic regression. Zbl 1431.62084
Sur, Pragya; Candès, Emmanuel J.
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
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
2019
Data-driven discovery of coordinates and governing equations. Zbl 1433.68396
Champion, Kathleen; Lusch, Bethany; Kutz, Nathan; Brunton, Steven L.
2019
Inference and uncertainty quantification for noisy matrix completion. Zbl 1431.90117
Chen, Yuxin; Fan, Jianqing; Ma, Cong; Yan, Yuling
2019
Nonparametric inference of interaction laws in systems of agents from trajectory data. Zbl 1431.62122
Lu, Fei; Zhong, Ming; Tang, Sui; Maggioni, Mauro
2019
Fast scrambling on sparse graphs. Zbl 1416.81038
Bentsen, Gregory; Gu, Yingfei; Lucas, Andrew
2019
Turbulent mixing: a perspective. Zbl 1431.76057
Sreenivasan, Katepalli R.
2019
New Laplace and Helmholtz solvers. Zbl 1431.65224
Gopal, Abinand; Trefethen, Lloyd N.
2019
Definitions, methods, and applications in interpretable machine learning. Zbl 1431.62266
Murdoch, W. James; Singh, Chandan; Kumbier, Karl; Abbasi-Asl, Reza; Yu, Bin
2019
Markovian approaches to modeling intracellular reaction processes with molecular memory. Zbl 1431.92045
Zhang, Jiajun; Zhou, Tianshou
2019
Sampling can be faster than optimization. Zbl 1433.68397
Ma, Yi-An; Chen, Yuansi; Jin, Chi; Flammarion, Nicolas; Jordan, Michael I.
2019
Subdiffusive and superdiffusive transport in plane steady viscous flows. Zbl 1431.76119
Zaks, Michael A.; Nepomnyashchy, Alexander
2019
Learning data-driven discretizations for partial differential equations. Zbl 1431.65195
Bar-Sinai, Yohai; Hoyer, Stephan; Hickey, Jason; Brenner, Michael P.
2019
Geometry and arithmetic of crystallographic sphere packings. Zbl 1422.52009
Kontorovich, Alex; Nakamura, Kei
2019
The harmonic mean $$p$$-value for combining dependent tests. Zbl 1416.62303
Wilson, Daniel J.
2019
Bubble pinch-off in turbulence. Zbl 1456.76131
Ruth, Daniel J.; Mostert, Wouter; Perrard, Stéphane; Deike, Luc
2019
The Ramsey property implies no mad families. Zbl 1431.03063
Schrittesser, David; Törnquist, Asger
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
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
2019
On a two-truths phenomenon in spectral graph clustering. Zbl 1431.62269
Priebe, Carey E.; Park, Youngser; Vogelstein, Joshua T.; Conroy, John M.; Lyzinski, Vince; Tang, Minh; Athreya, Avanti; Cape, Joshua; Bridgeford, Eric
2019
Disconnection description of triple-junction motion. Zbl 1431.74039
Thomas, Spencer L.; Wei, Chaozhen; Han, Jian; Xiang, Yang; Srolovitz, David J.
2019
New progress on the zeta function: from old conjectures to a major breakthrough. Zbl 1431.11104
Bombieri, Enrico
2019
Geometrically incompatible confinement of solids. Zbl 1416.74069
Davidovitch, Benny; Sun, Yiwei; Grason, Gregory M.
2019
A formula for the value of a stochastic game. Zbl 1456.91008
Attia, Luc; Oliu-Barton, Miquel
2019
The importance of better models in stochastic optimization. Zbl 1431.90098
Asi, Hilal; Duchi, John C.
2019
Hydrodynamics of random-organizing hyperuniform fluids. Zbl 1431.76041
Lei, Qun-Li; Ni, Ran
2019
Message passing on networks with loops. Zbl 1431.94214
Cantwell, George T.; Newman, M. E. J.
2019
Thermalization and possible signatures of quantum chaos in complex crystalline materials. Zbl 1431.82034
Zhang, Jiecheng; Kountz, Erik D.; Behnia, Kamran; Kapitulnik, Aharon
2019
On the bounded generation of arithmetic $$\mathrm{SL}_2$$. Zbl 1432.11029
Jordan, Bruce W.; Zaytman, Yevgeny
2019
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.
2019
Second-order induction in prediction problems. Zbl 1431.91053
Argenziano, Rossella; Gilboa, Itzhak
2019
On the Bayesian interpretation of the harmonic mean $$p$$-value. Zbl 1431.62238
Held, Leonhard
2019
Bootstrapping variables in algebraic circuits. Zbl 1433.68151
Agrawal, Manindra; Ghosh, Sumanta; Saxena, Nitin
2019
Deep learning in turbulent convection networks. Zbl 1431.76063
Fonda, Enrico; Pandey, Ambrish; Schumacher, Jörg; Sreenivasan, Katepalli R.
2019
A mathematical theory of semantic development in deep neural networks. Zbl 1416.92018
Saxe, Andrew M.; McClelland, James L.; Ganguli, Surya
2019
Generalized network dismantling. Zbl 1418.90060
Ren, Xiao-Long; Gleinig, Niels; Helbing, Dirk; Antulov-Fantulin, Nino
2019
Almost partition identities. Zbl 1416.05026
Andrews, George E.; Ballantine, Cristina
2019
Quantum experiments and graphs. II: Quantum interference, computation, and state generation. Zbl 1416.81029
Gu, Xuemei; Erhard, Manuel; Zeilinger, Anton; Krenn, Mario
2019
Cellular interactions constrain tumor growth. Zbl 1416.92079
West, Jeffrey; Newton, Paul K.
2019
Adaptive, locally linear models of complex dynamics. Zbl 1416.37066
Costa, Antonio C.; Ahamed, Tosif; Stephens, Greg J.
2019
Arithmetic of arithmetic Coxeter groups. Zbl 07076429
Milea, Suzana; Shelley, Christopher D.; Weissman, Martin H.
2019
Semisoft clustering of single-cell data. Zbl 1416.62631
Zhu, Lingxue; Lei, Jing; Klei, Lambertus; Devlin, Bernie; Roeder, Kathryn
2019
Single degree of freedom everting ring linkages with nonorientable topology. Zbl 1416.70008
Schönke, Johannes; Fried, Eliot
2019
Newcomb-Benford law and the detection of frauds in international trade. Zbl 1418.91308
Cerioli, Andrea; Barabesi, Lucio; Cerasa, Andrea; Menegatti, Mario; Perrotta, Domenico
2019
Estimation of emigration, return migration, and transit migration between all pairs of countries. Zbl 1418.91419
Azose, Jonathan J.; Raftery, Adrian E.
2019
Reflective prolate-spheroidal operators and the KP/KdV equations. Zbl 1462.35330
Casper, W. Riley; Grünbaum, F. Alberto; Yakimov, Milen; Zurrián, Ignacio
2019
Evolutionary dynamics with game transitions. Zbl 1456.91018
Su, Qi; Mcavoy, Alex; Wang, Long; Nowak, Martin A.
2019
Solving high-dimensional partial differential equations using deep learning. Zbl 1416.35137
Han, Jiequn; Jentzen, Arnulf; E, Weinan
2018
Computation of extreme heat waves in climate models using a large deviation algorithm. Zbl 1416.86013
Ragone, Francesco; Wouters, Jeroen; Bouchet, Freddy
2018
A mean field view of the landscape of two-layer neural networks. Zbl 1416.92014
Mei, Song; Montanari, Andrea; Nguyen, Phan-Minh
2018
Rogue waves and large deviations in deep sea. Zbl 1416.76021
Dematteis, Giovanni; Grafke, Tobias; Vanden-Eijnden, Eric
2018
Material barriers to diffusive and stochastic transport. Zbl 1416.76303
Haller, George; Karrasch, Daniel; Kogelbauer, Florian
2018
Radiative heating achieves the ultimate regime of thermal convection. Zbl 1416.76300
Lepot, Simon; Aumaître, Sébastien; Gallet, Basile
2018
Sequential sampling strategy for extreme event statistics in nonlinear dynamical systems. Zbl 1416.62279
Mohamad, Mustafa A.; Sapsis, Themistoklis P.
2018
Maximum principles and Bôcher type theorems. Zbl 1440.35343
Li, Congming; Wu, Zhigang; Xu, Hao
2018
Geometric hydrodynamics via Madelung transform. Zbl 1416.58006
Khesin, Boris; Misiolek, Gerard; Modin, Klas
2018
Global spectral clustering in dynamic networks. Zbl 1418.91430
Liu, Fuchen; Choi, David; Xie, Lu; Roeder, Kathryn
2018
Gravitational allocation on the sphere. Zbl 1419.60010
Holden, Nina; Peres, Yuval; Zhai, Alex
2018
Gene expression distribution deconvolution in single-cell RNA sequencing. Zbl 1416.62625
Wang, Jingshu; Huang, Mo; Torre, Eduardo; Dueck, Hannah; Shaffer, Sydney; Murray, John; Raj, Arjun; Li, Mingyao; Zhang, Nancy R.
2018
Toward the first quantum simulation with quantum speedup. Zbl 1415.68107
Childs, Andrew M.; Maslov, Dmitri; Nam, Yunseong; Ross, Neil J.; Su, Yuan
2018
Universal quantum Hamiltonians. Zbl 1416.82008
Cubitt, Toby S.; Montanaro, Ashley; Piddock, Stephen
2018
Iterative random forests to discover predictive and stable high-order interactions. Zbl 1416.62594
Basu, Sumanta; Kumbier, Karl; Brown, James B.; Yu, Bin
2018
Variational structure of Luttinger-Ward formalism and bold diagrammatic expansion for Euclidean lattice field theory. Zbl 1416.81122
Lin, Lin; Lindsey, Michael
2018
Fluctuations uncover a distinct class of traveling waves. Zbl 1416.35140
Birzu, Gabriel; Hallatschek, Oskar; Korolev, Kirill S.
2018
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
2018
Inferring dynamic topology for decoding spatiotemporal structures in complex heterogeneous networks. Zbl 1416.34030
Wang, Shuo; Herzog, Erik D.; Kiss, István Z.; Schwartz, William J.; Bloch, Guy; Sebek, Michael; Granados-Fuentes, Daniel; Wang, Liang; Li, Jr-Shin
2018
On the complex dynamics of savanna landscapes. Zbl 1416.92185
Touboul, Jonathan David; Staver, Ann Carla; Levin, Simon Asher
2018
Randomly distributed embedding making short-term high-dimensional data predictable. Zbl 1416.62539
Ma, Huanfei; Leng, Siyang; Aihara, Kazuyuki; Lin, Wei; Chen, Luonan
2018
Simplified broken Lefschetz fibrations and trisections of 4-manifolds. Zbl 1421.57026
Baykur, R. İnanç; Saeki, Osamu
2018
Size-driven quantum phase transitions. Zbl 1416.81215
Bausch, Johannes; Cubitt, Toby S.; Lucia, Angelo; Perez-Garcia, David; Wolf, Michael M.
2018
Localizing softness and stress along loops in 3D topological metamaterials. Zbl 1416.74013
Baardink, Guido; Souslov, Anton; Paulose, Jayson; Vitelli, Vincenzo
2018
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.
2018
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
2018
Projection pursuit in high dimensions. Zbl 1416.62320
Bickel, Peter J.; Kur, Gil; Nadler, Boaz
2018
Asymptotic theory of rerandomization in treatment-control experiments. Zbl 1416.62440
Li, Xinran; Ding, Peng; Rubin, Donald B.
2018
Bridge trisections of knotted surfaces in 4-manifolds. Zbl 1418.57017
Meier, Jeffrey; Zupan, Alexander
2018
Generalized trisections in all dimensions. Zbl 1421.57032
Rubinstein, J. Hyam; Tillmann, Stephan
2018
Completely top-down hierarchical structure in quantum mechanics. Zbl 1416.81073
Aharonov, Yakir; Cohen, Eliahu; Tollaksen, Jeff
2018
Universality of jamming of nonspherical particles. Zbl 1416.82026
Brito, Carolina; Ikeda, Harukuni; Urbani, Pierfrancesco; Wyart, Matthieu; Zamponi, Francesco
2018
Mathematical picture language program. Zbl 1416.00023
Jaffe, Arthur M.; Liu, Zhengwei
2018
Fast flow-based algorithm for creating density-equalizing map projections. Zbl 1416.62666
Gastner, Michael T.; Seguy, Vivien; More, Pratyush
2018
Weak Galilean invariance as a selection principle for coarse-grained diffusive models. Zbl 1416.82023
Cairoli, Andrea; Klages, Rainer; Baule, Adrian
2018
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.
2018
Cryptographic hashing using chaotic hydrodynamics. Zbl 1416.94052
Gilpin, William
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
2018
Stephen Hawking (1942–2018): toward a complete understanding of the universe. Zbl 1416.83002
Hartle, James
2018
Universal folding pathways of polyhedron nets. Zbl 1416.92129
Dodd, Paul M.; Damasceno, Pablo F.; Glotzer, Sharon C.
2018
Topological localization in out-of-equilibrium dissipative systems. Zbl 1416.82027
Dasbiswas, Kinjal; Mandadapu, Kranthi K.; Vaikuntanathan, Suriyanarayanan
2018
Polyhedra and packings from hyperbolic honeycombs. Zbl 1416.52008
Pedersen, Martin Cramer; Hyde, Stephen T.
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
2018
Generalized least squares can overcome the critical threshold in respondent-driven sampling. Zbl 1416.62091
Roch, Sebastien; Rohe, Karl
2018
A new invariant of 4-manifolds. Zbl 1421.57031
Kirby, Robion; Thompson, Abigail
2018
Entanglement and thermodynamics after a quantum quench in integrable systems. Zbl 1404.82033
Alba, Vincenzo; Calabrese, Pasquale
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
2017
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#### Cited by 45,271 Authors

 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 ...and 45,171 more Authors
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#### Cited in 1,273 Journals

 1,018 Journal of Mathematical Analysis and Applications 873 Transactions of the American Mathematical Society 735 Journal of Mathematical Physics 718 Proceedings of the American Mathematical Society 586 Journal of Algebra 510 Advances in Mathematics 493 Communications in Mathematical Physics 463 Journal of Functional Analysis 450 Journal of Theoretical Biology 440 Mathematische Annalen 433 Theoretical Population Biology 372 Bulletin of the American Mathematical Society 371 Journal of Computational Physics 366 Mathematische Zeitschrift 340 Journal of Statistical Physics 340 Linear Algebra and its Applications 338 Chaos 319 Applied Mathematics and Computation 288 Journal of Differential Equations 257 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 252 Inventiones Mathematicae 247 Mathematical Biosciences 244 Journal of Pure and Applied Algebra 236 Journal of Fluid Mechanics 233 Chaos, Solitons and Fractals 233 Journal of Inequalities and Applications 225 Proceedings of the National Academy of Sciences of the United States of America 217 Israel Journal of Mathematics 216 Journal of Mathematical Biology 212 Journal of Optimization Theory and Applications 210 Physica D 206 Abstract and Applied Analysis 204 Bulletin of Mathematical Biology 200 Communications in Algebra 198 Duke Mathematical Journal 197 Statistics & Probability Letters 196 Neural Computation 186 International Journal of Theoretical Physics 182 Topology and its Applications 181 Archive for Rational Mechanics and Analysis 180 Theoretical Computer Science 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 164 Journal of Computational and Applied Mathematics 163 Fixed Point Theory and Applications 162 The Annals of Statistics 158 Computers & Mathematics with Applications 158 Acta Mathematica 158 Bulletin of the American Mathematical Society. New Series 152 Journal of Mathematical Sciences (New York) 147 Tohoku Mathematical Journal. Second Series 147 Physical Review, II. Series 146 Journal of Number Theory 146 Computational Statistics and Data Analysis 145 Annales de l’Institut Fourier 144 Journal of Geometry and Physics 140 Physica A 139 Communications in Statistics. Theory and Methods 139 European Journal of Operational Research 139 Journal of Statistical Mechanics: Theory and Experiment 137 Journal of Soviet Mathematics 135 Journal of Approximation Theory 131 Games and Economic Behavior 130 Mathematical Notes 128 Stochastic Processes and their Applications 128 Advances in Difference Equations 127 Automatica 127 Journal of Economic Theory 125 Annali di Matematica Pura ed Applicata. Serie Quarta 124 Neural Networks 122 The Journal of Symbolic Logic 121 General Relativity and Gravitation 120 Acta Mathematica Sinica. English Series 119 Astrophysics and Space Science 119 Information Sciences 118 Journal of Combinatorial Theory. Series A 117 Letters in Mathematical Physics 117 Journal of Statistical Planning and Inference 115 Compositio Mathematica 112 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 110 Journal d’Analyse Mathématique 110 Journal of Multivariate Analysis 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 105 Journal of Mathematical Economics 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 ...and 1,173 more Journals
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#### Cited in 63 Fields

 4,198 Biology and other natural sciences (92-XX) 3,371 Partial differential equations (35-XX) 3,364 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3,211 Probability theory and stochastic processes (60-XX) 3,136 Statistics (62-XX) 2,779 Operator theory (47-XX) 2,482 Numerical analysis (65-XX) 2,300 Functional analysis (46-XX) 2,272 Computer science (68-XX) 2,247 Quantum theory (81-XX) 2,224 Combinatorics (05-XX) 1,948 Ordinary differential equations (34-XX) 1,874 Dynamical systems and ergodic theory (37-XX) 1,741 Operations research, mathematical programming (90-XX) 1,701 Nonassociative rings and algebras (17-XX) 1,682 Differential geometry (53-XX) 1,656 Number theory (11-XX) 1,595 Fluid mechanics (76-XX) 1,289 Difference and functional equations (39-XX) 1,285 Harmonic analysis on Euclidean spaces (42-XX) 1,199 Group theory and generalizations (20-XX) 1,178 Systems theory; control (93-XX) 1,149 Statistical mechanics, structure of matter (82-XX) 1,148 Algebraic geometry (14-XX) 1,062 Calculus of variations and optimal control; optimization (49-XX) 1,060 Global analysis, analysis on manifolds (58-XX) 1,032 Manifolds and cell complexes (57-XX) 975 Topological groups, Lie groups (22-XX) 874 Mathematical logic and foundations (03-XX) 873 Linear and multilinear algebra; matrix theory (15-XX) 849 General topology (54-XX) 804 Information and communication theory, circuits (94-XX) 714 Associative rings and algebras (16-XX) 713 Several complex variables and analytic spaces (32-XX) 695 Relativity and gravitational theory (83-XX) 648 Algebraic topology (55-XX) 612 Category theory; homological algebra (18-XX) 590 Mechanics of particles and systems (70-XX) 508 Measure and integration (28-XX) 498 Real functions (26-XX) 490 Mechanics of deformable solids (74-XX) 483 Functions of a complex variable (30-XX) 482 Abstract harmonic analysis (43-XX) 437 Special functions (33-XX) 425 Approximations and expansions (41-XX) 388 Convex and discrete geometry (52-XX) 379 History and biography (01-XX) 300 Commutative algebra (13-XX) 274 Integral equations (45-XX) 270 Geophysics (86-XX) 240 Order, lattices, ordered algebraic structures (06-XX) 199 Potential theory (31-XX) 182 Astronomy and astrophysics (85-XX) 175 Optics, electromagnetic theory (78-XX) 164 Classical thermodynamics, heat transfer (80-XX) 160 Geometry (51-XX) 146 General and overarching topics; collections (00-XX) 146 Integral transforms, operational calculus (44-XX) 117 General algebraic systems (08-XX) 116 Field theory and polynomials (12-XX) 102 $$K$$-theory (19-XX) 86 Sequences, series, summability (40-XX) 11 Mathematics education (97-XX)