Smale's problems (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Smale's problems" in English language version.

refsWebsite

Global rank English rank

18doi.org

2^nd place

8semanticscholar.org

11^th place

8^th place

8arxiv.org

69^th place

59^th place

4psu.edu

207^th place

136^th place

4nih.gov

4^th place

3harvard.edu

18^th place

17^th place

2zbmath.org

1,923^rd place

1,068^th place

2jstor.org

26^th place

20^th place

2unican.es

low place

1cornell.edu

332^nd place

246^th place

1springer.com

274^th place

309^th place

1recursed.blogspot.com

low place

1pnas.org

1,293^rd place

3,794^th place

1cityu.edu.hk

low place

arxiv.org (Global: 69^th place; English: 59^th place)

Perelman, Grigori (2002). "The entropy formula for the Ricci flow and its geometric applications". arXiv:math.DG/0211159.
Perelman, Grigori (2003). "Ricci flow with surgery on three-manifolds". arXiv:math.DG/0303109.
Perelman, Grigori (2003). "Finite extinction time for the solutions to the Ricci flow on certain three-manifolds". arXiv:math.DG/0307245.
Bonatti, C.; Crovisier, S.; Wilkinson, A. (2009). "The C¹-generic diffeomorphism has trivial centralizer". Publications Mathématiques de l'IHÉS. 109: 185–244. arXiv:0804.1416. doi:10.1007/s10240-009-0021-z. S2CID 16212782.
Cucker, Felipe; Bürgisser, Peter (2011). "On a problem posed by Steve Smale". Annals of Mathematics. 174 (3): 1785–1836. arXiv:0909.2114. doi:10.4007/annals.2011.174.3.8. S2CID 706015.
Lairez, Pierre (2016). "A deterministic algorithm to compute approximate roots of polynomial systems in polynomial average time". Foundations of Computational Mathematics. to appear (5): 1265–1292. arXiv:1507.05485. doi:10.1007/s10208-016-9319-7. S2CID 8333924.
Acharjee, S.; Gogoi, U. (2024). "The limit of human intelligence". Heliyon. 10 (12) e32465. arXiv:2310.10792. Bibcode:2024Heliy..1032465A. doi:10.1016/j.heliyon.2024.e32465. PMC 11226777. PMID 38975068.
Colbrook, M. J.; Vegard, A.; Hansen, A. C. (2022). "The difficulty of computing stable and accurate neural networks: On the barriers of deep learning and Smale's 18th problem". Proceedings of the National Academy of Sciences. 119 (12) e2107151119. arXiv:2101.08286. Bibcode:2022PNAS..11907151C. doi:10.1073/pnas.2107151119. PMC 8944871. PMID 35294283.

cityu.edu.hk (Global: low place; English: low place)

www6.cityu.edu.hk

Smale, Steve. "Mathematical Problems for the Next Century" (PDF).

cornell.edu (Global: 332^nd place; English: 246^th place)

math.cornell.edu

Tucker, Warwick (2002). "A Rigorous ODE Solver and Smale's 14th Problem" (PDF). Foundations of Computational Mathematics. 2 (1): 53–117. CiteSeerX 10.1.1.545.3996. doi:10.1007/s002080010018. S2CID 353254.

doi.org (Global: 2^nd place; English: 2^nd place)

Smale, Steve (1998). "Mathematical Problems for the Next Century". Mathematical Intelligencer. 20 (2): 7–15. CiteSeerX 10.1.1.35.4101. doi:10.1007/bf03025291. S2CID 1331144.
Shub, Michael; Smale, Steve (1995). "On the intractability of Hilbert's Nullstellensatz and an algebraic version of "NP≠P?"". Duke Math. J. 81: 47–54. doi:10.1215/S0012-7094-95-08105-8. Zbl 0882.03040.
Albouy, A.; Kaloshin, V. (2012). "Finiteness of central configurations of five bodies in the plane". Annals of Mathematics. 176: 535–588. doi:10.4007/annals.2012.176.1.10.
Gjerstad, Steven (2013). "Price Dynamics in an Exchange Economy". Economic Theory. 52 (2): 461–500. CiteSeerX 10.1.1.415.3888. doi:10.1007/s00199-011-0651-5. S2CID 15322190.
Hahn, Frank (1962). "A theorem on non-tatonnement stability". Econometrica. 30 (3): 463–469. doi:10.2307/1909889. JSTOR 1909889.
Lindgren, Jussi (2022). "General Equilibrium with Price Adjustments—A Dynamic Programming Approach". Analytics. 1 (1): 27–34. doi:10.3390/analytics1010003.
Asaoka, M.; Irie, K. (2016). "A $C \infty$ closing lemma for Hamiltonian diffeomorphisms of closed surfaces". Geometric and Functional Analysis. 26 (5): 1245–1254. doi:10.1007/s00039-016-0386-3. S2CID 119732514.
Kozlovski, O.; Shen, W.; van Strien, S. (2007). "Density of hyperbolicity in dimension one". Annals of Mathematics. 166: 145–182. doi:10.4007/annals.2007.166.145.
Bonatti, C.; Crovisier, S.; Wilkinson, A. (2009). "The C¹-generic diffeomorphism has trivial centralizer". Publications Mathématiques de l'IHÉS. 109: 185–244. arXiv:0804.1416. doi:10.1007/s10240-009-0021-z. S2CID 16212782.
Tucker, Warwick (2002). "A Rigorous ODE Solver and Smale's 14th Problem" (PDF). Foundations of Computational Mathematics. 2 (1): 53–117. CiteSeerX 10.1.1.545.3996. doi:10.1007/s002080010018. S2CID 353254.
Beltrán, Carlos; Pardo, Luis Miguel (2008). "On Smale's 17th Problem: A Probabilistic Positive answer" (PDF). Foundations of Computational Mathematics. 8 (1): 1–43. CiteSeerX 10.1.1.211.3321. doi:10.1007/s10208-005-0211-0. S2CID 11528635.
Beltrán, Carlos; Pardo, Luis Miguel (2009). "Smale's 17th Problem: Average Polynomial Time to compute affine and projective solutions" (PDF). Journal of the American Mathematical Society. 22 (2): 363–385. Bibcode:2009JAMS...22..363B. doi:10.1090/s0894-0347-08-00630-9.
Beltrán, Carlos; Pardo, Luis Miguel (2011). "Fast Linear Homotopy to Find Approximate Zeros of Polynomial Systems". Foundations of Computational Mathematics. 11 (1): 95–129. doi:10.1007/s10208-010-9078-9.
Cucker, Felipe; Bürgisser, Peter (2011). "On a problem posed by Steve Smale". Annals of Mathematics. 174 (3): 1785–1836. arXiv:0909.2114. doi:10.4007/annals.2011.174.3.8. S2CID 706015.
Lairez, Pierre (2016). "A deterministic algorithm to compute approximate roots of polynomial systems in polynomial average time". Foundations of Computational Mathematics. to appear (5): 1265–1292. arXiv:1507.05485. doi:10.1007/s10208-016-9319-7. S2CID 8333924.
Shub, Michael; Smale, Stephen (1993). "Complexity of Bézout's theorem. I. Geometric aspects". J. Amer. Math. Soc. 6 (2): 459–501. doi:10.2307/2152805. JSTOR 2152805..
Acharjee, S.; Gogoi, U. (2024). "The limit of human intelligence". Heliyon. 10 (12) e32465. arXiv:2310.10792. Bibcode:2024Heliy..1032465A. doi:10.1016/j.heliyon.2024.e32465. PMC 11226777. PMID 38975068.
Colbrook, M. J.; Vegard, A.; Hansen, A. C. (2022). "The difficulty of computing stable and accurate neural networks: On the barriers of deep learning and Smale's 18th problem". Proceedings of the National Academy of Sciences. 119 (12) e2107151119. arXiv:2101.08286. Bibcode:2022PNAS..11907151C. doi:10.1073/pnas.2107151119. PMC 8944871. PMID 35294283.

harvard.edu (Global: 18^th place; English: 17^th place)

ui.adsabs.harvard.edu

Beltrán, Carlos; Pardo, Luis Miguel (2009). "Smale's 17th Problem: Average Polynomial Time to compute affine and projective solutions" (PDF). Journal of the American Mathematical Society. 22 (2): 363–385. Bibcode:2009JAMS...22..363B. doi:10.1090/s0894-0347-08-00630-9.
Acharjee, S.; Gogoi, U. (2024). "The limit of human intelligence". Heliyon. 10 (12) e32465. arXiv:2310.10792. Bibcode:2024Heliy..1032465A. doi:10.1016/j.heliyon.2024.e32465. PMC 11226777. PMID 38975068.
Colbrook, M. J.; Vegard, A.; Hansen, A. C. (2022). "The difficulty of computing stable and accurate neural networks: On the barriers of deep learning and Smale's 18th problem". Proceedings of the National Academy of Sciences. 119 (12) e2107151119. arXiv:2101.08286. Bibcode:2022PNAS..11907151C. doi:10.1073/pnas.2107151119. PMC 8944871. PMID 35294283.

jstor.org (Global: 26^th place; English: 20^th place)

Hahn, Frank (1962). "A theorem on non-tatonnement stability". Econometrica. 30 (3): 463–469. doi:10.2307/1909889. JSTOR 1909889.
Shub, Michael; Smale, Stephen (1993). "Complexity of Bézout's theorem. I. Geometric aspects". J. Amer. Math. Soc. 6 (2): 459–501. doi:10.2307/2152805. JSTOR 2152805..

nih.gov (Global: 4^th place; English: 4^th place)

ncbi.nlm.nih.gov

Acharjee, S.; Gogoi, U. (2024). "The limit of human intelligence". Heliyon. 10 (12) e32465. arXiv:2310.10792. Bibcode:2024Heliy..1032465A. doi:10.1016/j.heliyon.2024.e32465. PMC 11226777. PMID 38975068.
Colbrook, M. J.; Vegard, A.; Hansen, A. C. (2022). "The difficulty of computing stable and accurate neural networks: On the barriers of deep learning and Smale's 18th problem". Proceedings of the National Academy of Sciences. 119 (12) e2107151119. arXiv:2101.08286. Bibcode:2022PNAS..11907151C. doi:10.1073/pnas.2107151119. PMC 8944871. PMID 35294283.

pubmed.ncbi.nlm.nih.gov

Acharjee, S.; Gogoi, U. (2024). "The limit of human intelligence". Heliyon. 10 (12) e32465. arXiv:2310.10792. Bibcode:2024Heliy..1032465A. doi:10.1016/j.heliyon.2024.e32465. PMC 11226777. PMID 38975068.
Colbrook, M. J.; Vegard, A.; Hansen, A. C. (2022). "The difficulty of computing stable and accurate neural networks: On the barriers of deep learning and Smale's 18th problem". Proceedings of the National Academy of Sciences. 119 (12) e2107151119. arXiv:2101.08286. Bibcode:2022PNAS..11907151C. doi:10.1073/pnas.2107151119. PMC 8944871. PMID 35294283.

pnas.org (Global: 1,293^rd place; English: 3,794^th place)

Colbrook, M. J.; Vegard, A.; Hansen, A. C. (2022). "The difficulty of computing stable and accurate neural networks: On the barriers of deep learning and Smale's 18th problem". Proceedings of the National Academy of Sciences. 119 (12) e2107151119. arXiv:2101.08286. Bibcode:2022PNAS..11907151C. doi:10.1073/pnas.2107151119. PMC 8944871. PMID 35294283.

psu.edu (Global: 207^th place; English: 136^th place)

citeseerx.ist.psu.edu

Smale, Steve (1998). "Mathematical Problems for the Next Century". Mathematical Intelligencer. 20 (2): 7–15. CiteSeerX 10.1.1.35.4101. doi:10.1007/bf03025291. S2CID 1331144.
Gjerstad, Steven (2013). "Price Dynamics in an Exchange Economy". Economic Theory. 52 (2): 461–500. CiteSeerX 10.1.1.415.3888. doi:10.1007/s00199-011-0651-5. S2CID 15322190.
Tucker, Warwick (2002). "A Rigorous ODE Solver and Smale's 14th Problem" (PDF). Foundations of Computational Mathematics. 2 (1): 53–117. CiteSeerX 10.1.1.545.3996. doi:10.1007/s002080010018. S2CID 353254.
Beltrán, Carlos; Pardo, Luis Miguel (2008). "On Smale's 17th Problem: A Probabilistic Positive answer" (PDF). Foundations of Computational Mathematics. 8 (1): 1–43. CiteSeerX 10.1.1.211.3321. doi:10.1007/s10208-005-0211-0. S2CID 11528635.

recursed.blogspot.com (Global: low place; English: low place)

"Tucson - Day 3 - Interview with Steve Smale". Recursivity. February 3, 2006.

semanticscholar.org (Global: 11^th place; English: 8^th place)

api.semanticscholar.org

Smale, Steve (1998). "Mathematical Problems for the Next Century". Mathematical Intelligencer. 20 (2): 7–15. CiteSeerX 10.1.1.35.4101. doi:10.1007/bf03025291. S2CID 1331144.
Gjerstad, Steven (2013). "Price Dynamics in an Exchange Economy". Economic Theory. 52 (2): 461–500. CiteSeerX 10.1.1.415.3888. doi:10.1007/s00199-011-0651-5. S2CID 15322190.
Asaoka, M.; Irie, K. (2016). "A $C \infty$ closing lemma for Hamiltonian diffeomorphisms of closed surfaces". Geometric and Functional Analysis. 26 (5): 1245–1254. doi:10.1007/s00039-016-0386-3. S2CID 119732514.
Bonatti, C.; Crovisier, S.; Wilkinson, A. (2009). "The C¹-generic diffeomorphism has trivial centralizer". Publications Mathématiques de l'IHÉS. 109: 185–244. arXiv:0804.1416. doi:10.1007/s10240-009-0021-z. S2CID 16212782.
Tucker, Warwick (2002). "A Rigorous ODE Solver and Smale's 14th Problem" (PDF). Foundations of Computational Mathematics. 2 (1): 53–117. CiteSeerX 10.1.1.545.3996. doi:10.1007/s002080010018. S2CID 353254.
Beltrán, Carlos; Pardo, Luis Miguel (2008). "On Smale's 17th Problem: A Probabilistic Positive answer" (PDF). Foundations of Computational Mathematics. 8 (1): 1–43. CiteSeerX 10.1.1.211.3321. doi:10.1007/s10208-005-0211-0. S2CID 11528635.
Cucker, Felipe; Bürgisser, Peter (2011). "On a problem posed by Steve Smale". Annals of Mathematics. 174 (3): 1785–1836. arXiv:0909.2114. doi:10.4007/annals.2011.174.3.8. S2CID 706015.
Lairez, Pierre (2016). "A deterministic algorithm to compute approximate roots of polynomial systems in polynomial average time". Foundations of Computational Mathematics. to appear (5): 1265–1292. arXiv:1507.05485. doi:10.1007/s10208-016-9319-7. S2CID 8333924.

springer.com (Global: 274^th place; English: 309^th place)

link.springer.com

Beltrán, Carlos; Pardo, Luis Miguel (2011). "Fast Linear Homotopy to Find Approximate Zeros of Polynomial Systems". Foundations of Computational Mathematics. 11 (1): 95–129. doi:10.1007/s10208-010-9078-9.

unican.es (Global: low place; English: low place)

personales.unican.es

Beltrán, Carlos; Pardo, Luis Miguel (2008). "On Smale's 17th Problem: A Probabilistic Positive answer" (PDF). Foundations of Computational Mathematics. 8 (1): 1–43. CiteSeerX 10.1.1.211.3321. doi:10.1007/s10208-005-0211-0. S2CID 11528635.
Beltrán, Carlos; Pardo, Luis Miguel (2009). "Smale's 17th Problem: Average Polynomial Time to compute affine and projective solutions" (PDF). Journal of the American Mathematical Society. 22 (2): 363–385. Bibcode:2009JAMS...22..363B. doi:10.1090/s0894-0347-08-00630-9.

zbmath.org (Global: 1,923^rd place; English: 1,068^th place)

Shub, Michael; Smale, Steve (1995). "On the intractability of Hilbert's Nullstellensatz and an algebraic version of "NP≠P?"". Duke Math. J. 81: 47–54. doi:10.1215/S0012-7094-95-08105-8. Zbl 0882.03040.
Bürgisser, Peter (2000). Completeness and reduction in algebraic complexity theory. Algorithms and Computation in Mathematics. Vol. 7. Berlin: Springer-Verlag. p. 141. ISBN 978-3-540-66752-0. Zbl 0948.68082.

Smale's problems (English Wikipedia)

arxiv.org (Global: 69th place; English: 59th place)

cityu.edu.hk (Global: low place; English: low place)

www6.cityu.edu.hk

cornell.edu (Global: 332nd place; English: 246th place)

math.cornell.edu

doi.org (Global: 2nd place; English: 2nd place)

harvard.edu (Global: 18th place; English: 17th place)

ui.adsabs.harvard.edu

jstor.org (Global: 26th place; English: 20th place)

nih.gov (Global: 4th place; English: 4th place)

ncbi.nlm.nih.gov

pubmed.ncbi.nlm.nih.gov

pnas.org (Global: 1,293rd place; English: 3,794th place)

psu.edu (Global: 207th place; English: 136th place)

citeseerx.ist.psu.edu

recursed.blogspot.com (Global: low place; English: low place)

semanticscholar.org (Global: 11th place; English: 8th place)

api.semanticscholar.org

springer.com (Global: 274th place; English: 309th place)

link.springer.com

unican.es (Global: low place; English: low place)

personales.unican.es

zbmath.org (Global: 1,923rd place; English: 1,068th place)

arxiv.org (Global: 69^th place; English: 59^th place)

cornell.edu (Global: 332^nd place; English: 246^th place)

doi.org (Global: 2^nd place; English: 2^nd place)

harvard.edu (Global: 18^th place; English: 17^th place)

jstor.org (Global: 26^th place; English: 20^th place)

nih.gov (Global: 4^th place; English: 4^th place)

pnas.org (Global: 1,293^rd place; English: 3,794^th place)

psu.edu (Global: 207^th place; English: 136^th place)

semanticscholar.org (Global: 11^th place; English: 8^th place)

springer.com (Global: 274^th place; English: 309^th place)

zbmath.org (Global: 1,923^rd place; English: 1,068^th place)