isoperimetric - PMC

Ahlam Nemati, Lara Querciagrossa, Corinne Callison, Sasan Shadpour, Diana P. Nunes Gonçalves, Taizo Mori, Ximin Cui, Ruoqi Ai, Jianfang Wang, Claudio Zannoni, Torsten Hegmann

Sci Adv. 2022 Jan; 8(4): eabl4385. Published online 2022 Jan 26. doi: 10.1126/sciadv.abl4385

PMCID:: PMC8791610

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Bonnesen-style inequality for the first eigenvalue on a complete surface of constant curvature

Niufa Fang, Jiazu Zhou

J Inequal Appl. 2017; 2017(1): 190. Published online 2017 Aug 15. doi: 10.1186/s13660-017-1462-4

PMCID:: PMC5557883

Article PDF–1.2M

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Entanglement bounds on the performance of quantum computing architectures

Zachary Eldredge, Leo Zhou, Aniruddha Bapat, James R. Garrison, Abhinav Deshpande, Frederic T. Chong, Alexey V. Gorshkov

Phys Rev Res. Author manuscript; available in PMC 2021 Jun 11.

Published in final edited form as: Phys Rev Res. 2020; 2(3): 10.1103/physrevresearch.2.033316. doi: 10.1103/physrevresearch.2.033316

PMCID:: PMC8194250

Article PDF–682K

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Computational Hardness of Collective Coin-Tossing Protocols

Hemanta K. Maji

Entropy (Basel) 2021 Jan; 23(1): 44. Published online 2020 Dec 30. doi: 10.3390/e23010044

PMCID:: PMC7824602

Article PDF–466K

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Generalized Isoperimetric Inequalities

J. M. Luttinger

Proc Natl Acad Sci U S A. 1973 Apr; 70(4): 1005–1006. doi: 10.1073/pnas.70.4.1005

PMCID:: PMC433412

Summary Page Browse PDF–321K

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Steklov eigenvalues of reflection-symmetric nearly circular planar domains

Robert Viator, Braxton Osting

Proc Math Phys Eng Sci. 2018 Dec; 474(2220): 20180072. Published online 2018 Dec 19. doi: 10.1098/rspa.2018.0072

PMCID:: PMC6304027

Article PDF–737K

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A symmetric version of the Euler equations by using Generalized Bernoulli Method

U. Filobello-Nino, H. Vazquez-Leal, J. Huerta-Chua, D. Mayorga-Cruz, R. Lopez-Leal, R.A. Callejas Molina, M.A. Sandoval-Hernandez

Heliyon. 2023 Jun; 9(6): e16947. Published online 2023 Jun 7. doi: 10.1016/j.heliyon.2023.e16947

PMCID:: PMC10285128

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Quantum Talagrand, KKL and Friedgut’s Theorems and the Learnability of Quantum Boolean Functions

Cambyse Rouzé, Melchior Wirth, Haonan Zhang

Commun Math Phys. 2024; 405(4): 95. Published online 2024 Apr 9. doi: 10.1007/s00220-024-04981-0

PMCID:: PMC11003954

Article PDF–638K

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From Rényi Entropy Power to Information Scan of Quantum States

Petr Jizba, Jacob Dunningham, Martin Prokš

Entropy (Basel) 2021 Mar; 23(3): 334. Published online 2021 Mar 12. doi: 10.3390/e23030334

PMCID:: PMC8001603

Article PDF–625K

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On parametric representation of the Newton's aerodynamic problem

Alexandr A. Barsuk, Florentin Paladi

Heliyon. 2023 Jun; 9(6): e16721. Published online 2023 May 29. doi: 10.1016/j.heliyon.2023.e16721

PMCID:: PMC10248267

Article PDF–692K

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Natural Isoperimetric Conditions in the Calculus of Variations

G. D. Birkhoff, M. R. Hestenes

Proc Natl Acad Sci U S A. 1935 Feb; 21(2): 99–102. doi: 10.1073/pnas.21.2.99

PMCID:: PMC1076538

Summary Page Browse PDF–355K

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From Steklov to Neumann via homogenisation

Alexandre Girouard, Antoine Henrot, Jean Lagacé

Arch Ration Mech Anal. 2021; 239(2): 981–1023. Published online 2020 Nov 20. doi: 10.1007/s00205-020-01588-2

PMCID:: PMC7813763

Article PDF–611K

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Sharp Cheeger–Buser Type Inequalities in equation M2

Spaces

Nicolò De Ponti, Andrea Mondino

J Geom Anal. 2021; 31(3): 2416–2438. Published online 2020 Feb 14. doi: 10.1007/s12220-020-00358-6

PMCID:: PMC7932992

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Continuum limits of discrete isoperimetric problems and Wulff shapes in lattices and quasicrystal tilings

Giacomo Del Nin, Mircea Petrache

Calc Var Partial Differ Equ. 2022; 61(6): 226. Published online 2022 Oct 11. doi: 10.1007/s00526-022-02318-0

PMCID:: PMC9553808

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Law in the Cubic Lattice

Edoardo Mainini, Paolo Piovano, Bernd Schmidt, Ulisse Stefanelli

J Stat Phys. 2019; 176(6): 1480–1499. Published online 2019 Jul 24. doi: 10.1007/s10955-019-02350-z

PMCID:: PMC6733839

Article PDF–529K

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Considerations of target surface area and the risk of radiosurgical toxicity

Strahinja Stojadinovic, Yulong Yan, Andrew Leiker, Chul Ahn, Zabi Wardak, Tu Dan, Lucien Nedzi, Robert Timmerman, Toral Patel, Samuel Barnett, Bruce Mickey, Jeffrey Meyer

PLoS One. 2019; 14(10): e0224047. Published online 2019 Oct 21. doi: 10.1371/journal.pone.0224047