Carrillo, José A.; Shu, Ruiwen Global minimizers of a large class of anisotropic attractive-repulsive interaction energies in 2D. (English) Zbl 07793228 Commun. Pure Appl. Math. 77, No. 2, 1353-1404 (2024). MSC: 82-XX 81-XX PDFBibTeX XMLCite \textit{J. A. Carrillo} and \textit{R. Shu}, Commun. Pure Appl. Math. 77, No. 2, 1353--1404 (2024; Zbl 07793228) Full Text: DOI arXiv OA License
Wickman, Clare; Okoudjou, Kasso A. Gradient flows for probabilistic frame potentials in the Wasserstein space. (English) Zbl 1518.42045 SIAM J. Math. Anal. 55, No. 3, 2324-2346 (2023). MSC: 42C15 60D05 94A12 35Q82 35R60 PDFBibTeX XMLCite \textit{C. Wickman} and \textit{K. A. Okoudjou}, SIAM J. Math. Anal. 55, No. 3, 2324--2346 (2023; Zbl 1518.42045) Full Text: DOI arXiv
Davies, Cameron; Lim, Tongseok; McCann, Robert J. Classifying minimum energy states for interacting particles: regular simplices. (English) Zbl 1512.35061 Commun. Math. Phys. 399, No. 2, 577-598 (2023). MSC: 35B36 70F45 PDFBibTeX XMLCite \textit{C. Davies} et al., Commun. Math. Phys. 399, No. 2, 577--598 (2023; Zbl 1512.35061) Full Text: DOI arXiv
Fetecau, Razvan C.; Park, Hansol Equilibria and energy minimizers for an interaction model on the hyperbolic space. (English) Zbl 1510.35007 Physica D 446, Article ID 133670, 33 p. (2023). MSC: 35A15 35K58 35R01 35R09 PDFBibTeX XMLCite \textit{R. C. Fetecau} and \textit{H. Park}, Physica D 446, Article ID 133670, 33 p. (2023; Zbl 1510.35007) Full Text: DOI arXiv
Chafaï, Djalil; Saff, Edward B.; Womersley, Robert S. Threshold condensation to singular support for a Riesz equilibrium problem. (English) Zbl 1509.31010 Anal. Math. Phys. 13, No. 1, Paper No. 19, 30 p. (2023). MSC: 31B15 PDFBibTeX XMLCite \textit{D. Chafaï} et al., Anal. Math. Phys. 13, No. 1, Paper No. 19, 30 p. (2023; Zbl 1509.31010) Full Text: DOI arXiv
Carrillo, José A.; Shu, Ruiwen From radial symmetry to fractal behavior of aggregation equilibria for repulsive-attractive potentials. (English) Zbl 1503.35016 Calc. Var. Partial Differ. Equ. 62, No. 1, Paper No. 28, 61 p. (2023). MSC: 35B07 35A15 35Q49 35R09 49J20 49K20 PDFBibTeX XMLCite \textit{J. A. Carrillo} and \textit{R. Shu}, Calc. Var. Partial Differ. Equ. 62, No. 1, Paper No. 28, 61 p. (2023; Zbl 1503.35016) Full Text: DOI arXiv
Stevens, Angela; Winkler, Michael Taxis-driven persistent localization in a degenerate Keller-Segel system. (English) Zbl 1505.35045 Commun. Partial Differ. Equations 47, No. 12, 2341-2362 (2022). MSC: 35B40 35K51 35K59 35K65 92C17 PDFBibTeX XMLCite \textit{A. Stevens} and \textit{M. Winkler}, Commun. Partial Differ. Equations 47, No. 12, 2341--2362 (2022; Zbl 1505.35045) Full Text: DOI
Lim, Tongseok; McCann, Robert J. Maximizing expected powers of the angle between pairs of points in projective space. (English) Zbl 1514.90189 Probab. Theory Relat. Fields 184, No. 3-4, 1197-1214 (2022). Reviewer: Gabriela Cristescu (Arad) MSC: 90C26 05B30 49Q22 52A40 58E35 70G75 PDFBibTeX XMLCite \textit{T. Lim} and \textit{R. J. McCann}, Probab. Theory Relat. Fields 184, No. 3--4, 1197--1214 (2022; Zbl 1514.90189) Full Text: DOI arXiv
Davies, Cameron; Lim, Tongseok; McCann, Robert J. Classifying minimum energy states for interacting particles: spherical shells. (English) Zbl 1495.49024 SIAM J. Appl. Math. 82, No. 4, 1520-1536 (2022). MSC: 49Q10 31B10 35Q70 37L30 70F45 90C20 PDFBibTeX XMLCite \textit{C. Davies} et al., SIAM J. Appl. Math. 82, No. 4, 1520--1536 (2022; Zbl 1495.49024) Full Text: DOI arXiv
Bilyk, Dmitriy; Glazyrin, Alexey; Matzke, Ryan; Park, Josiah; Vlasiuk, Oleksandr Optimal measures for \(p\)-frame energies on spheres. (English) Zbl 1503.31012 Rev. Mat. Iberoam. 38, No. 4, 1129-1160 (2022). MSC: 31B15 41A05 PDFBibTeX XMLCite \textit{D. Bilyk} et al., Rev. Mat. Iberoam. 38, No. 4, 1129--1160 (2022; Zbl 1503.31012) Full Text: DOI arXiv
Lim, Tongseok; McCann, Robert J. Geometrical bounds for variance and recentered moments. (English) Zbl 1493.62274 Math. Oper. Res. 47, No. 1, 286-296 (2022). MSC: 62H05 49N15 52A40 60E15 90C46 PDFBibTeX XMLCite \textit{T. Lim} and \textit{R. J. McCann}, Math. Oper. Res. 47, No. 1, 286--296 (2022; Zbl 1493.62274) Full Text: DOI arXiv
Bilyk, Dmitriy; Matzke, Ryan W.; Vlasiuk, Oleksandr Positive definiteness and the Stolarsky invariance principle. (English) Zbl 1505.11103 J. Math. Anal. Appl. 513, No. 2, Article ID 126220, 30 p. (2022). Reviewer: Peter Kritzer (Linz) MSC: 11K38 31B15 46N10 PDFBibTeX XMLCite \textit{D. Bilyk} et al., J. Math. Anal. Appl. 513, No. 2, Article ID 126220, 30 p. (2022; Zbl 1505.11103) Full Text: DOI arXiv
Frank, Rupert L. Minimizers for a one-dimensional interaction energy. (English) Zbl 1485.60006 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 216, Article ID 112691, 10 p. (2022). Reviewer: Shokhrukh Kholmatov (Wien) MSC: 60B05 28A99 PDFBibTeX XMLCite \textit{R. L. Frank}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 216, Article ID 112691, 10 p. (2022; Zbl 1485.60006) Full Text: DOI arXiv Link
Shu, Ruiwen; Tadmor, Eitan Newtonian repulsion and radial confinement: convergence toward steady state. (English) Zbl 1473.35544 Math. Models Methods Appl. Sci. 31, No. 7, 1297-1321 (2021). MSC: 35Q70 35Q92 92D25 35A15 PDFBibTeX XMLCite \textit{R. Shu} and \textit{E. Tadmor}, Math. Models Methods Appl. Sci. 31, No. 7, 1297--1321 (2021; Zbl 1473.35544) Full Text: DOI arXiv
Lim, Tongseok; McCann, Robert J. Isodiametry, variance, and regular simplices from particle interactions. (English) Zbl 1470.49038 Arch. Ration. Mech. Anal. 241, No. 2, 553-576 (2021). MSC: 49J55 49Q22 PDFBibTeX XMLCite \textit{T. Lim} and \textit{R. J. McCann}, Arch. Ration. Mech. Anal. 241, No. 2, 553--576 (2021; Zbl 1470.49038) Full Text: DOI arXiv
Bilyk, Dmitriy; Glazyrin, Alexey; Matzke, Ryan; Park, Josiah; Vlasiuk, Oleksandr Energy on spheres and discreteness of minimizing measures. (English) Zbl 1462.31009 J. Funct. Anal. 280, No. 11, Article ID 108995, 28 p. (2021). MSC: 31B15 PDFBibTeX XMLCite \textit{D. Bilyk} et al., J. Funct. Anal. 280, No. 11, Article ID 108995, 28 p. (2021; Zbl 1462.31009) Full Text: DOI arXiv
Kang, Kyungkeun; Kim, Hwa Kil; Lim, Tongseok; Seo, Geuntaek Uniqueness and characterization of local minimizers for the interaction energy with mildly repulsive potentials. (English) Zbl 1476.70061 Calc. Var. Partial Differ. Equ. 60, No. 1, Paper No. 15, 17 p. (2021). MSC: 70F45 35Q92 49S05 PDFBibTeX XMLCite \textit{K. Kang} et al., Calc. Var. Partial Differ. Equ. 60, No. 1, Paper No. 15, 17 p. (2021; Zbl 1476.70061) Full Text: DOI arXiv
Kaib, Gunnar; Kang, Kyungkeun; Stevens, Angela Global minimisers for anisotropic attractive-repulsive interactions. (English) Zbl 1504.35006 Eur. J. Appl. Math. 31, No. 5, 854-870 (2020). MSC: 35A15 35K65 PDFBibTeX XMLCite \textit{G. Kaib} et al., Eur. J. Appl. Math. 31, No. 5, 854--870 (2020; Zbl 1504.35006) Full Text: DOI
Guardia, Daniel Balagué; Barbaro, Alethea; Carrillo, Jose A.; Volkin, Robert Analysis of spherical shell solutions for the radially symmetric aggregation equation. (English) Zbl 1472.35400 SIAM J. Appl. Dyn. Syst. 19, No. 4, 2628-2657 (2020). Reviewer: Andrea Tellini (Madrid) MSC: 35Q92 35F25 35Q70 74K25 92C17 PDFBibTeX XMLCite \textit{D. B. Guardia} et al., SIAM J. Appl. Dyn. Syst. 19, No. 4, 2628--2657 (2020; Zbl 1472.35400) Full Text: DOI
Carrillo, J. A.; Mateu, J.; Mora, M. G.; Rondi, L.; Scardia, L.; Verdera, J. The ellipse law: Kirchhoff meets dislocations. (English) Zbl 07160967 Commun. Math. Phys. 373, No. 2, 507-524 (2020). MSC: 65Lxx 82Cxx 92Bxx 37Nxx PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Commun. Math. Phys. 373, No. 2, 507--524 (2020; Zbl 07160967) Full Text: DOI arXiv
Kang, Kyungkeun; Kim, Hwa Kil; Seo, Geuntaek Cardinality estimation of support of the global minimizer for the interaction energy with mildly repulsive potentials. (English) Zbl 1453.49011 Physica D 399, 51-57 (2019); erratum ibid. 406, Article ID 132473, 2 p. (2020). MSC: 49K20 PDFBibTeX XMLCite \textit{K. Kang} et al., Physica D 399, 51--57 (2019; Zbl 1453.49011) Full Text: DOI
Carrillo, José A.; Craig, Katy; Yao, Yao Aggregation-diffusion equations: dynamics, asymptotics, and singular limits. (English) Zbl 1451.76117 Bellomo, Nicola (ed.) et al., Active particles, Volume 2. Advances in theory, models, and applications. Cham: Birkhäuser. Model. Simul. Sci. Eng. Technol., 65-108 (2019). MSC: 76R50 76M99 76-02 35K57 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., in: Active particles, Volume 2. Advances in theory, models, and applications. Cham: Birkhäuser. 65--108 (2019; Zbl 1451.76117) Full Text: DOI arXiv Backlinks: MO
Bäuml, Lucia; Finster, Felix; Schiefeneder, Daniela; von der Mosel, Heiko Singular support of minimizers of the causal variational principle on the sphere. (English) Zbl 1429.49047 Calc. Var. Partial Differ. Equ. 58, No. 6, Paper No. 205, 27 p. (2019). MSC: 49Q20 49S05 49N60 58C35 58Z05 28C99 PDFBibTeX XMLCite \textit{L. Bäuml} et al., Calc. Var. Partial Differ. Equ. 58, No. 6, Paper No. 205, 27 p. (2019; Zbl 1429.49047) Full Text: DOI arXiv
Carrillo, J. A.; Delgadino, M. G.; Patacchini, F. S. Existence of ground states for aggregation-diffusion equations. (English) Zbl 1433.35417 Anal. Appl., Singap. 17, No. 3, 393-423 (2019). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q92 35A01 35A15 49J20 49S05 92C17 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Anal. Appl., Singap. 17, No. 3, 393--423 (2019; Zbl 1433.35417) Full Text: DOI arXiv
Campos Pinto, Martin; Carrillo, José A.; Charles, Frédérique; Choi, Young-Pil Convergence of a linearly transformed particle method for aggregation equations. (English) Zbl 1408.65066 Numer. Math. 139, No. 4, 743-793 (2018). MSC: 65M12 65M50 82C22 35Q70 PDFBibTeX XMLCite \textit{M. Campos Pinto} et al., Numer. Math. 139, No. 4, 743--793 (2018; Zbl 1408.65066) Full Text: DOI arXiv
Bandegi, Mahdi; Shirokoff, David Approximate global minimizers to pairwise interaction problems via convex relaxation. (English) Zbl 1386.49014 SIAM J. Appl. Dyn. Syst. 17, No. 1, 417-456 (2018). MSC: 49J45 49M30 PDFBibTeX XMLCite \textit{M. Bandegi} and \textit{D. Shirokoff}, SIAM J. Appl. Dyn. Syst. 17, No. 1, 417--456 (2018; Zbl 1386.49014) Full Text: DOI arXiv
Burger, Martin; Düring, Bertram; Kreusser, Lisa Maria; Markowich, Peter A.; Schönlieb, Carola-Bibiane Pattern formation of a nonlocal, anisotropic interaction model. (English) Zbl 1383.35024 Math. Models Methods Appl. Sci. 28, No. 3, 409-451 (2018). MSC: 35B36 35Q92 70F10 82C22 PDFBibTeX XMLCite \textit{M. Burger} et al., Math. Models Methods Appl. Sci. 28, No. 3, 409--451 (2018; Zbl 1383.35024) Full Text: DOI arXiv