McInerney, James; Chen, Bryan Gin-Ge; Rocklin, D. Zeb Hidden symmetries generate rigid folding mechanisms in periodic origami. (English) Zbl 1485.70002 Proc. Natl. Acad. Sci. USA 117, No. 48, 30253 (2020). MSC: 70B15 52B70 52C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sejnowski, Terrence J. The unreasonable effectiveness of deep learning in artificial intelligence. (English) Zbl 1485.68237 Proc. Natl. Acad. Sci. USA 117, No. 48, 30033-30038 (2020). MSC: 68T07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kamien, Randall D.; Machon, Thomas Geodesic fibrations for packing diabolic domains. (English) Zbl 1485.86013 Proc. Natl. Acad. Sci. USA 117, No. 39, 24103 (2020). MSC: 86A30 52C17 53Z30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Georgiev, Rumen N.; Toscano, Sara O.; Eral, Huseyin Burak Universal motion of mirror-symmetric microparticles in confined Stokes flow. (English) Zbl 1485.76029 Proc. Natl. Acad. Sci. USA 117, No. 36, 21865-21872 (2020). MSC: 76D07 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Domokos, Gábor; Jerolmack, Douglas J.; Török, János Plato’s cube and the natural geometry of fragmentation. (English) Zbl 1485.74086 Proc. Natl. Acad. Sci. USA 117, No. 31, 18179 (2020). MSC: 74R15 52C20 52C22 60D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Ghosh, Subhroshekhar; Rigollet, Philippe Gaussian determinantal processes: a new model for directionality in data. (English) Zbl 1485.62074 Proc. Natl. Acad. Sci. USA 117, No. 24, 13207-13213 (2020). MSC: 62H25 60G55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Weng, Lin; Zagier, Don Higher-rank zeta functions and \(\mathrm{SL}_n\)-zeta functions for curves. (English) Zbl 1473.11173 Proc. Natl. Acad. Sci. USA 117, No. 12, 6398-6408 (2020). Reviewer: Roma Kačinskaitė (Kaunas) MSC: 11M38 11M26 14G10 × Cite Format Result Cite Review PDF Full Text: DOI
Weng, Lin; Zagier, Don Higher-rank zeta functions for elliptic curves. (English) Zbl 1473.11172 Proc. Natl. Acad. Sci. USA 117, No. 9, 4546-4558 (2020). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11M38 11M26 14G10 × Cite Format Result Cite Review PDF Full Text: DOI
Kavokin, A. V.; Altshuler, B. L.; Sharapov, S. G.; Grigoryev, P. S.; Varlamov, A. A. The Nernst effect in Corbino geometry. (English) Zbl 1456.78004 Proc. Natl. Acad. Sci. USA 117, No. 6, 2846-2851 (2020). MSC: 78A25 82C70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Moulton, Derek E.; Goriely, Alain; Chirat, Régis Mechanics unlocks the morphogenetic puzzle of interlocking bivalved shells. (English) Zbl 1456.74124 Proc. Natl. Acad. Sci. USA 117, No. 1, 43-51 (2020). MSC: 74L15 74K25 92C10 × Cite Format Result Cite Review PDF Full Text: DOI
Filippenko, Benjamin; Zhou, Zhengyi; Wehrheim, Katrin Counterexamples in scale calculus. (English) Zbl 1431.58006 Proc. Natl. Acad. Sci. USA 116, No. 18, 8787-8797 (2019). MSC: 58C15 26B10 26E15 47J06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adelstein, Ian M.; Schmidt, Benjamin Characterizing round spheres using half-geodesics. (English) Zbl 1431.53041 Proc. Natl. Acad. Sci. USA 116, No. 29, 14501-14504 (2019). MSC: 53C22 53C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schönke, Johannes; Fried, Eliot Single degree of freedom everting ring linkages with nonorientable topology. (English) Zbl 1416.70008 Proc. Natl. Acad. Sci. USA 116, No. 1, 90-95 (2019). MSC: 70B15 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Kontorovich, Alex; Nakamura, Kei Geometry and arithmetic of crystallographic sphere packings. (English) Zbl 1422.52009 Proc. Natl. Acad. Sci. USA 116, No. 2, 436-441 (2019). Reviewer: Dimitris P. Vartziotis (Ioannina) MSC: 52C26 20F55 51F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Davidovitch, Benny; Sun, Yiwei; Grason, Gregory M. Geometrically incompatible confinement of solids. (English) Zbl 1416.74069 Proc. Natl. Acad. Sci. USA 116, No. 5, 1483-1488 (2019). MSC: 74Kxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Klug, Michael Functoriality of group trisections. (English) Zbl 1416.57010 Proc. Natl. Acad. Sci. USA 115, No. 43, 10875-10879 (2018). MSC: 57N13 18F99 20F65 × Cite Format Result Cite Review PDF Full Text: DOI
Holden, Nina; Peres, Yuval; Zhai, Alex Gravitational allocation on the sphere. (English) Zbl 1419.60010 Proc. Natl. Acad. Sci. USA 115, No. 39, 9666-9671 (2018). MSC: 60D05 60C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Pedersen, Martin Cramer; Hyde, Stephen T. Polyhedra and packings from hyperbolic honeycombs. (English) Zbl 1416.52008 Proc. Natl. Acad. Sci. USA 115, No. 27, 6905-6910 (2018). MSC: 52B10 52C17 51M10 52C20 57Q15 × Cite Format Result Cite Review PDF Full Text: DOI
Kalinin, Nikita; Guzmán-Sáenz, A.; Prieto, Y.; Shkolnikov, M.; Kalinina, V.; Lupercio, E. Self-organized criticality and pattern emergence through the lens of tropical geometry. (English) Zbl 1416.14004 Proc. Natl. Acad. Sci. USA 115, No. 35, E8135-E8142 (2018). MSC: 14T05 37E99 60K35 82B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ornes, Stephen Researchers find history in the diagrams of Euclid’s Elements. (English) Zbl 1407.51003 Proc. Natl. Acad. Sci. USA 114, No. 47, 12353-12355 (2017). MSC: 51-03 01A20 01A35 × Cite Format Result Cite Review PDF Full Text: DOI
Evans, Arthur A.; Bhaduri, Basanta; Popescu, Gabriel; Levine, Alex J. Geometric localization of thermal fluctuations in red blood cells. (English) Zbl 1404.74112 Proc. Natl. Acad. Sci. USA 114, No. 11, 2865-2870 (2017). MSC: 74L15 74K15 74K25 92C37 × Cite Format Result Cite Review PDF Full Text: DOI
Yair, Or; Talmon, Ronen; Coifman, Ronald R.; Kevrekidis, Ioannis G. Reconstruction of normal forms by learning informed observation geometries from data. (English) Zbl 1407.62306 Proc. Natl. Acad. Sci. USA 114, No. 38, E7865-E7874 (2017). MSC: 62M09 62G99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rascón, Carlos; Parry, Andrew O.; Aarts, Dirk G. A. L. Geometry-induced capillary emptying. (English) Zbl 1404.76059 Proc. Natl. Acad. Sci. USA 113, No. 45, 12633-12636 (2016). MSC: 76B45 76D45 76S05 74F10 × Cite Format Result Cite Review PDF Full Text: DOI
Oizumi, Masafumi; Tsuchiya, Naotsugu; Amari, Shun-ichi Unified framework for information integration based on information geometry. (English) Zbl 1407.62037 Proc. Natl. Acad. Sci. USA 113, No. 51, 14817-14822 (2016). MSC: 62B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fu, Hailong; Wang, Pengjie; Shan, Pujia; Xiong, Lin; Pfeiffer, Loren N.; West, Ken; Kastner, Marc A.; Lin, Xi Competing \(\nu=5/2\) fractional quantum Hall states in confined geometry. (English) Zbl 1355.81190 Proc. Natl. Acad. Sci. USA 113, No. 44, 12386-12390 (2016). MSC: 81V70 62P35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jin, Seokho; Ma, Wenjun; Ono, Ken; Soundararajan, Kannan Riemann hypothesis for period polynomials of modular forms. (English) Zbl 1412.11075 Proc. Natl. Acad. Sci. USA 113, No. 10, 2603-2608 (2016). MSC: 11F67 11M26 11F11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matsumoto, Elisabetta A.; Vega, Daniel A.; Pezzutti, Aldo D.; García, Nicolás A.; Chaikin, Paul M.; Register, Richard A. Wrinkles and splay conspire to give positive disclinations negative curvature. (English) Zbl 1355.74052 Proc. Natl. Acad. Sci. USA 112, No. 41, 12639-12644 (2015). MSC: 74K15 74M20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Moshe, Michael; Levin, Ido; Aharoni, Hillel; Kupferman, Raz; Sharon, Eran Geometry and mechanics of two-dimensional defects in amorphous materials. (English) Zbl 1355.74019 Proc. Natl. Acad. Sci. USA 112, No. 35, 10873-10878 (2015). MSC: 74C05 × Cite Format Result Cite Review PDF Full Text: DOI
Čopar, Simon; Tkalec, Uroš; Muševič, Igor; Žumer, Slobodan Knot theory realizations in nematic colloids. (English) Zbl 1355.76009 Proc. Natl. Acad. Sci. USA 112, No. 6, 1675-1680 (2015). MSC: 76A15 57M25 82D30 × Cite Format Result Cite Review PDF Full Text: DOI
Neitzke, Andrew Cluster-like coordinates in supersymmetric quantum field theory. (English) Zbl 1355.81146 Proc. Natl. Acad. Sci. USA 111, No. 27, 9717-9724 (2014). MSC: 81T60 81Q60 53C26 × Cite Format Result Cite Review PDF Full Text: DOI Link
Fomin, Sergey; Pylyavskyy, Pavlo Webs on surfaces, rings of invariants, and clusters. (English) Zbl 1355.53012 Proc. Natl. Acad. Sci. USA 111, No. 27, 9680-9687 (2014). MSC: 53A60 13F60 17B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Leclerc, Bernard; Williams, Lauren K. Cluster algebras. (English) Zbl 1355.13017 Proc. Natl. Acad. Sci. USA 111, No. 27, 9676-9679 (2014). MSC: 13F60 53A60 57M25 81R05 81R10 × Cite Format Result Cite Review PDF Full Text: DOI
Goldstein, Raymond E.; McTavish, James; Moffatt, H. Keith; Pesci, Adriana I. Boundary singularities produced by the motion of soap films. (English) Zbl 1355.53009 Proc. Natl. Acad. Sci. USA 111, No. 23, 8339-8344 (2014). MSC: 53A10 49Q05 76A20 53Z05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mendel, Manor; Naor, Assaf Ultrametric skeletons. (English) Zbl 1307.46013 Proc. Natl. Acad. Sci. USA 110, No. 48, 19256-19262 (2013). Reviewer: Aude Dalet (Besançon) MSC: 46B85 46B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dadush, Daniel; Vempala, Santosh S. Near-optimal deterministic algorithms for volume computation via M-ellipsoids. (English) Zbl 1292.52018 Proc. Natl. Acad. Sci. USA 110, No. 48, 19237-19245 (2013). MSC: 52C17 52C45 68Q25 90C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Colding, Tobias Holck; Minicozzi, William P. II Monotonicity and its analytic and geometric implications. (English) Zbl 1292.35002 Proc. Natl. Acad. Sci. USA 110, No. 48, 19233-19236 (2013). MSC: 35-02 35A23 53C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Breuillard, Emmanuel; Le Donne, Enrico On the rate of convergence to the asymptotic cone for nilpotent groups and subFinsler geometry. (English) Zbl 1294.53041 Proc. Natl. Acad. Sci. USA 110, No. 48, 19220-19226 (2013). MSC: 53C23 20F65 53C60 57M07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barak, Boaz; Dvir, Zeev; Wigderson, Avi; Yehudayoff, Amir Fractional Sylvester-Gallai theorems. (English) Zbl 1292.52014 Proc. Natl. Acad. Sci. USA 110, No. 48, 19213-19219 (2013). MSC: 52C10 52C35 × Cite Format Result Cite Review PDF Full Text: DOI
Naor, Assaf Quantitative geometry. (English) Zbl 1291.51001 Proc. Natl. Acad. Sci. USA 110, No. 48, 19202-19205 (2013). MSC: 51-01 20-01 52-01 53-01 55-01 × Cite Format Result Cite Review PDF Full Text: DOI
Macdonald, Colin B.; Merriman, Barry; Ruuth, Steven J. Simple computation of reaction-diffusion processes on point clouds. (English) Zbl 1292.65093 Proc. Natl. Acad. Sci. USA 110, No. 23, 9209-9214 (2013). MSC: 65M06 35K57 × Cite Format Result Cite Review PDF Full Text: DOI
Aldous, David; Ganesan, Karthik True scale-invariant random spatial networks. (English) Zbl 1292.60014 Proc. Natl. Acad. Sci. USA 110, No. 22, 8782-8785 (2013). MSC: 60D05 60G55 62M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Henann, David L.; Kamrin, Ken A predictive, size-dependent continuum model for dense granular flows. (English) Zbl 1292.76070 Proc. Natl. Acad. Sci. USA 110, No. 17, 6730-6735 (2013). MSC: 76T25 × Cite Format Result Cite Review PDF Full Text: DOI
Ciucu, Mihai; Krattenthaler, Christian A dual of MacMahon’s theorem on plane partitions. (English) Zbl 1292.52021 Proc. Natl. Acad. Sci. USA 110, No. 12, 4518-4523 (2013). MSC: 52C20 05B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borrelli, Vincent; Jabrane, Saïd; Lazarus, Francis; Thibert, Boris Flat tori in three-dimensional space and convex integration. (English) Zbl 1267.53004 Proc. Natl. Acad. Sci. USA 109, No. 19, 7218-7223 (2012). Reviewer: Juan Monterde (Burjasot) MSC: 53A05 65D17 68U05 57R40 × Cite Format Result Cite Review PDF Full Text: DOI
Davidovitch, Benny; Schroll, Robert D.; Vella, Dominic; Adda-Bedia, Mokhtar; Cerda, Enrique A. Prototypical model for tensional wrinkling in thin sheets. (English) Zbl 1355.74042 Proc. Natl. Acad. Sci. USA 108, No. 45, 18227-18232 (2011). MSC: 74G60 74K35 × Cite Format Result Cite Review PDF Full Text: DOI
Rajapakse, Indika; Groudine, Mark; Mesbahi, Mehran Dynamics and control of state-dependent networks for probing genomic organization. (English) Zbl 1256.93074 Proc. Natl. Acad. Sci. USA 108, No. 42, 17257-17262 (2011). MSC: 93C95 92D10 05C90 × Cite Format Result Cite Review PDF Full Text: DOI
Conway, John H.; Jiao, Yang; Torquato, Salvatore New family of tilings of three-dimensional Euclidean space by tetrahedra and octahedra. (English) Zbl 1256.52010 Proc. Natl. Acad. Sci. USA 108, No. 27, 11009-11012 (2011). MSC: 52C22 05B45 × Cite Format Result Cite Review PDF Full Text: DOI
Kirby, Robion C. Low-dimensional topology and geometry. (English) Zbl 1256.57002 Proc. Natl. Acad. Sci. USA 108, No. 20, 8081-8084 (2011). MSC: 57-02 57M27 57R57 57R58 × Cite Format Result Cite Review PDF Full Text: DOI
Goldstein, Raymond E.; Moffatt, H. Keith; Pesci, Adriana I.; Ricca, Renzo L. Soap-film Möbius strip changes topology with a twist singularity. (English) Zbl 1256.53007 Proc. Natl. Acad. Sci. USA 107, No. 51, 21979-21984 (2010). MSC: 53A10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Fange, David; Berg, Otto G.; Sjöberg, Paul; Elf, Johan Stochastic reaction-diffusion kinetics in the microscopic limit. (English) Zbl 1256.82007 Proc. Natl. Acad. Sci. USA 107, No. 46, 19820-19825 (2010). MSC: 82C22 60K35 60H30 35K57 35Q92 92E10 92C40 × Cite Format Result Cite Review PDF Full Text: DOI
Baryshnikov, Yuliy; Ghrist, Robert Euler integration over definable functions. (English) Zbl 1205.53081 Proc. Natl. Acad. Sci. USA 107, No. 21, 9525-9530 (2010). MSC: 53C65 14P10 58E05 90B18 03C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
van Erp, Erik Noncommutative topology and the world’s simplest index theorem. (English) Zbl 1205.58006 Proc. Natl. Acad. Sci. USA 107, No. 19, 8549-8556 (2010). MSC: 58B34 58J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alvarez, Orlando; Windey, Paul Analytic index for a family of Dirac-Ramond operators. (English) Zbl 1205.58013 Proc. Natl. Acad. Sci. USA 107, No. 11, 4845-4850 (2010). MSC: 58J20 11F23 58J26 81T30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kotschick, Dieter Characteristic numbers of algebraic varieties. (English) Zbl 1203.14049 Proc. Natl. Acad. Sci. USA 106, No. 25, 10114-10115 (2009). MSC: 14L10 14F25 57R20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jones, Peter W.; Maggioni, Mauro; Schul, Raanan Manifold parametrizations by eigenfunctions of the Laplacian and heat kernels. (English) Zbl 1215.58012 Proc. Natl. Acad. Sci. USA 105, No. 6, 1803-1808 (2008). MSC: 58J35 58J50 × Cite Format Result Cite Review PDF Full Text: DOI
Singer, Amit A remark on global positioning from local distances. (English) Zbl 1205.86043 Proc. Natl. Acad. Sci. USA 105, No. 28, 9507-9511 (2008). MSC: 86A30 62H05 62P99 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bohr, Aage; Mottelson, Ben R.; Ulfbeck, Ole The geometric and the atomic world views. (English) Zbl 1205.81024 Proc. Natl. Acad. Sci. USA 105, No. 45, 17301-17306 (2008). MSC: 81P05 81V25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Chi, Chen-Yu; Yau, Shing-Tung A geometric approach to problems in birational geometry. (English) Zbl 1205.14016 Proc. Natl. Acad. Sci. USA 105, No. 48, 18696-18701 (2008). MSC: 14E05 14C20 32Q57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Liu, Kefeng; Xu, Hao New results of intersection numbers on moduli spaces of curves. (English) Zbl 1190.14056 Proc. Natl. Acad. Sci. USA 104, No. 35, 13896-13900 (2007). MSC: 14N35 14H10 14C17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bunster, Claudio; Henneaux, Marc A monopole near a black hole. (English) Zbl 1190.83051 Proc. Natl. Acad. Sci. USA 104, No. 30, 12243-12249 (2007). MSC: 83C57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Lerman, Gilad; Shakhnovich, Boris E. Defining functional distance using manifold embeddings of gene ontology annotations. (English) Zbl 1156.92323 Proc. Natl. Acad. Sci. USA 104, No. 27, 11334-11339 (2007). MSC: 92D10 92C40 × Cite Format Result Cite Review PDF Full Text: DOI
Shaw, Robert S.; Packard, Norman; Schröter, Matthias; Swinney, Harry L. Geometry-induced asymmetric diffusion. (English) Zbl 1155.82324 Proc. Natl. Acad. Sci. USA 104, No. 23, 9580-9584 (2007). MSC: 82C24 82-05 82C70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Chouaieb, Nadia; Goriely, Alain; Maddocks, John H. Helices. (English) Zbl 1160.74373 Proc. Natl. Acad. Sci. USA 103, No. 25, 9398-9403 (2006). MSC: 74K10 53A04 74L15 92C40 × Cite Format Result Cite Review PDF Full Text: DOI Link
Conway, J. H.; Torquato, S. Packing, tiling, and covering with tetrahedra. (English) Zbl 1160.52301 Proc. Natl. Acad. Sci. USA 103, No. 28, 10612-10617 (2006). MSC: 52C17 52C22 × Cite Format Result Cite Review PDF Full Text: DOI
Colding, Tobias H.; Minicozzi, William P. II Shapes of embedded minimal surfaces. (English) Zbl 1175.53008 Proc. Natl. Acad. Sci. USA 103, No. 30, 11106-11111 (2006). Reviewer: Stefka Hineva (Sofia) MSC: 53A10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Chang, Sun-Yung A.; Gursky, Matthew J.; Yang, Paul Conformal invariants associated to a measure. (English) Zbl 1160.53356 Proc. Natl. Acad. Sci. USA 103, No. 8, 2535-2540 (2006). MSC: 53C21 53C20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bronstein, Alexander M.; Bronstein, Michael M.; Kimmel, Ron Generalized multidimensional scaling: a framework for isometry-invariant partial surface matching. (English) Zbl 1160.65306 Proc. Natl. Acad. Sci. USA 103, No. 5, 1168-1172 (2006). MSC: 65D18 68U05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Tuval, Idan; Cisneros, Luis; Dombrowski, Christopher; Wolgemuth, Charles W.; Kessler, John O.; Goldstein, Raymond E. Bacterial swimming and oxygen transport near contact lines. (English) Zbl 1277.35332 Proc. Natl. Acad. Sci. USA 102, No. 7, 2277-2282 (2005). MSC: 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI Link
Rödl, V.; Nagle, B.; Skokan, J.; Schacht, M.; Kohayakawa, Y. The hypergraph regularity method and its applications. (English) Zbl 1135.05307 Proc. Natl. Acad. Sci. USA 102, No. 23, 8109-8113 (2005). MSC: 05C35 05C65 × Cite Format Result Cite Review PDF Full Text: DOI
Donoho, David L.; Tanner, Jared Neighborliness of randomly projected simplices in high dimension. (English) Zbl 1135.60300 Proc. Natl. Acad. Sci. USA 102, No. 27, 9452-9457 (2005). MSC: 60C05 60D05 × Cite Format Result Cite Review PDF Full Text: DOI
Boyarchenko, Mitya; Levendorskii, Sergei Generalizations of the classical Weyl and Colin de Verdière’s formulas and the orbit method. (English) Zbl 1378.35207 Proc. Natl. Acad. Sci. USA 102, No. 16, 5663-5668 (2005). MSC: 35P20 22E27 58J37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Goldfeld, Dorian; Lubotzky, Alexander; Nikolov, Nikolay; Pyber, László Counting primes, groups, and manifolds. (English) Zbl 1139.11324 Proc. Natl. Acad. Sci. USA 101, No. 37, 13428-13430 (2004). MSC: 11N45 20E07 22E40 20H05 53C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dabkowski, Mieczyslaw K.; Przytycki, Józef H. Unexpected connections between Burnside groups and knot theory. (English) Zbl 1070.57004 Proc. Natl. Acad. Sci. USA 101, No. 50, 17357-17360 (2004). MSC: 57M25 20F50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pachter, Lior; Sturmfels, Bernd Tropical geometry of statistical models. (English) Zbl 1135.62302 Proc. Natl. Acad. Sci. USA 101, No. 46, 16132-16137 (2004). MSC: 62A01 14M25 05C90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Effros, Edward G.; Popa, Mihai Feynman diagrams and Wick products associated with \(q\)-Fock space. (English) Zbl 1064.81045 Proc. Natl. Acad. Sci. USA 100, No. 15, 8629-8633 (2003). MSC: 81Q30 81Q50 81S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Donoho, David L.; Grimes, Carrie Hessian eigenmaps: locally linear embedding techniques for high-dimensional data. (English) Zbl 1130.62337 Proc. Natl. Acad. Sci. USA 100, No. 10, 5591-5596 (2003). MSC: 62H05 62-07 53B20 62H99 × Cite Format Result Cite Review PDF Full Text: DOI
Alexakis, Spyros On conformally invariant differential operators in odd dimensions. (English) Zbl 1070.58028 Proc. Natl. Acad. Sci. USA 100, No. 8, 4409-4410 (2003). MSC: 58J60 53A30 58J70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Karshon, Yael; Sternberg, Shlomo; Weitsman, Jonathan The Euler-Maclaurin formula for simple integral polytopes. (English) Zbl 1064.11063 Proc. Natl. Acad. Sci. USA 100, No. 2, 426-433 (2003). MSC: 11P21 11H06 52B20 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yan Yan Some nonlinear elliptic equations from geometry. (English) Zbl 1063.53043 Proc. Natl. Acad. Sci. USA 99, No. 24, 15287-15290 (2002). MSC: 53C21 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Ambrosetti, Antonio Multiplicity results for the Yamabe problem on \(S^n\). (English) Zbl 1063.53041 Proc. Natl. Acad. Sci. USA 99, No. 24, 15252-15256 (2002). MSC: 53C21 35J60 × Cite Format Result Cite Review PDF Full Text: DOI
Jackson, Steve; Mauldin, R. Daniel Sets meeting isometric copies of the lattice \(\mathbb Z^2\) in exactly one point. (English) Zbl 1064.11047 Proc. Natl. Acad. Sci. USA 99, No. 25, 15883-15887 (2002). MSC: 11H06 52C05 × Cite Format Result Cite Review PDF Full Text: DOI
Agrafiotis, Dimitris K.; Xu, Huafeng A self-organizing principle for learning nonlinear manifolds. (English) Zbl 1135.68529 Proc. Natl. Acad. Sci. USA 99, No. 25, 15869-15872 (2002). MSC: 68T05 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Kadison, Richard V. The Pythagorean theorem. II: The infinite discrete case. (English) Zbl 1013.46050 Proc. Natl. Acad. Sci. USA 99, No. 8, 5217-5222 (2002). Reviewer: Vladimir V.Peller (Manhattan) MSC: 46L05 46L10 × Cite Format Result Cite Review PDF Full Text: DOI Link Link
Kadison, Richard V. The Pythagorean theorem. I: The finite case. (English) Zbl 1013.46049 Proc. Natl. Acad. Sci. USA 99, No. 7, 4178-4184 (2002). Reviewer: Vladimir V.Peller (Manhattan) MSC: 46L05 46L10 × Cite Format Result Cite Review PDF Full Text: DOI Link Link
Grosse-Brauckmann, Karsten; Kusner, Robert B.; Sullivan, John M. Constant mean curvature surfaces with three ends. (English) Zbl 0980.53011 Proc. Natl. Acad. Sci. USA 97, No. 26, 14067-14068 (2000). MSC: 53A10 53C42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Myung, In Jae; Balasubramanian, Vijay; Pitt, Mark A. Counting probability distributions: Differential geometry and model selection. (English) Zbl 0997.62099 Proc. Natl. Acad. Sci. USA 97, No. 21, 11170-11175 (2000). MSC: 62P99 91E30 53-XX × Cite Format Result Cite Review PDF Full Text: DOI Link
Jaffe, Arthur Twist fields, the elliptic genus, and hidden symmetry. (English) Zbl 0980.58004 Proc. Natl. Acad. Sci. USA 97, No. 4, 1418-1422 (2000). MSC: 58D30 58J26 81T60 81T75 58D15 81T10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ovtchinnikov, Evgueni E.; Xanthis, Leonidas S. Effective dimensional reduction algorithm for eigenvalue problems for thin elastic structures: A paradigm in three dimensions. (English) Zbl 0995.74073 Proc. Natl. Acad. Sci. USA 97, No. 3, 967-971 (2000). MSC: 74S05 74H45 74H15 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Sternberg, Shlomo General covariance and harmonic maps. (English) Zbl 0926.53023 Proc. Natl. Acad. Sci. USA 96, No. 16, 8845-8848 (1999). MSC: 53C43 81T13 53Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Rao, Calyampudi R. Geometry of circular vectors and pattern recognition of shape of a boundary. (English) Zbl 1042.68664 Proc. Natl. Acad. Sci. USA 95, No. 22, 12783-12786 (1998). MSC: 68T10 62H99 × Cite Format Result Cite Review PDF Full Text: DOI Link
Kimmel, R.; Sethian, J. A. Computing geodesic paths on manifolds. (English) Zbl 0908.65049 Proc. Natl. Acad. Sci. USA 95, No. 15, 8431-8435 (1998). Reviewer: J.Vaníček (Praha) MSC: 65K10 65D18 49J20 × Cite Format Result Cite Review PDF Full Text: DOI
Schwarz, John H. Recent developments in superstring theory. (English) Zbl 0896.53050 Proc. Natl. Acad. Sci. USA 95, No. 6, 2750-2757 (1998). MSC: 53Z05 81T30 83E30 81-02 × Cite Format Result Cite Review PDF Full Text: DOI Link
Cordoba, Diego On the geometry of solutions of the quasi-geostrophic and Euler equations. (English) Zbl 0888.35083 Proc. Natl. Acad. Sci. USA 94, No. 24, 12769-12770 (1997). MSC: 35Q35 35B40 35A20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Fontaine, Jean-Marc Deforming semistable Galois representations. (English) Zbl 0901.11016 Proc. Natl. Acad. Sci. USA 94, No. 21, 11138-11141 (1997). Reviewer: W.W.J.Hulsbergen (Haarlem) MSC: 11F80 11R39 14F30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Hsiang, Wu-Yi Kinematic geometry of mass-triangles and reduction of Schrödinger’s equation of three-body systems to partial differential equations solely defined on triangular parameters. (English) Zbl 0888.35091 Proc. Natl. Acad. Sci. USA 94, No. 17, 8936-8938 (1997). MSC: 35Q40 81V70 58J70 × Cite Format Result Cite Review PDF Full Text: DOI Link
Grenander, Ulf Geometries of knowledge. (English) Zbl 0866.68116 Proc. Natl. Acad. Sci. USA 94, No. 3, 783-789 (1997). MSC: 68U05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Vergne, Michèle Convex polytopes and quantization of symplectic manifolds. (English) Zbl 0864.58022 Proc. Natl. Acad. Sci. USA 93, No. 25, 14238-14242 (1996). MSC: 53D50 81S10 52B11 × Cite Format Result Cite Review PDF Full Text: DOI Link
Malladi, R.; Sethian, J. A. An \(O(N\log N)\) algorithm for shape modeling. (English) Zbl 0858.65150 Proc. Natl. Acad. Sci. USA 93, No. 18, 9389-9392 (1996). MSC: 65D18 65Z05 65M06 68U10 92C55 × Cite Format Result Cite Review PDF Full Text: DOI
Stanley, Richard P. Hyperplane arrangements, interval orders, and trees. (English) Zbl 0848.05005 Proc. Natl. Acad. Sci. USA 93, No. 6, 2620-2625 (1996). MSC: 05A15 52C35 05C05 05C30 06A07 × Cite Format Result Cite Review PDF Full Text: DOI
Sethian, J. A. A fast marching level set method for monotonically advancing fronts. (English) Zbl 0852.65055 Proc. Natl. Acad. Sci. USA 93, No. 4, 1591-1595 (1996). Reviewer: J.Vaníček (Praha) MSC: 65K10 65D18 49J20 × Cite Format Result Cite Review PDF Full Text: DOI Link