Haddad, Julián; Langharst, Dylan; Putterman, Eli; Roysdon, Michael; Ye, Deping, Affine isoperimetric inequalities for higher-order projection and centroid bodies, Math. Ann. (2025): 1-49.
Langharst, Dylan; Putterman, Eli; Roysdon, Michael; Ye, Deping, On higher-order extensions of the weighted projection body operator, To appear in Pure and Applied Functional Analysis, Special issue dedicated to Nicole Tomczak-Jaegermann.
Langharst, Dylan; Roysdon, Michael; Yiming Zhao, On the mth-order Affine Pólya-Szegö Principle, J. Geom. Anal 35, 205 (2025).
Haddad, Julián; Langharst, Dylan; Putterman, Eli; Roysdon, Michael; Ye, Deping, Higher-Order Lp Isoperimetric and Sobolev inequalities, J. Funct. Anal. 288 (2025), no. 2, Paper No. 110722.
Roysdon, Michael; Xing, Sudan, On multiple Lp-curvilinear-Brunn-Minkowski inequalities, J. Geom. Anal 34, 222 (2024).
Hoehner, Steven; Li, Ben; Roysdon, Michael; Thäle, Christoph, Asymptotic expected T-functional of random polytopes with applications to Lp surface areas, Math. Narch. 297, No. 3, 914-931 (2024).
Koldobsky, Alexander; Roysdon, Michael; Zvavitch, Artem, Comparison problems for Radon transforms, Adv. Math. 434 (2023).
Roysdon, Michael; Xing, Sudan, On the framework of Lp summations for functions, J. Funct. Anal. 285 (2023), no. 12.
Langharst, Dylan; Roysdon, Michael; Zvavitch, Artem, General measure extensions of projection bodies. Proc. Lond. Math. Soc. (3) 125 (2022), no. 5, 1083–1129.
Roysdon, Michael; Xing, Sudan, On Lp-Brunn-Minkowski type and Lp-isoperimetric type inequalities for measures. Trans. Amer. Math. Soc. 374 (2021), no. 7, 5003–5036.
Alonso-Gutiérrez, David; Hernández Cifre, María A.; Roysdon, Michael; Yepes Nicolás, Jesús; Zvavitch, Artem, On Rogers-Shephard type inequalities for general measures. Int. Math. Res. Not. IMRN 2021, no. 10, 7224–7261.
Roysdon, Michael, Rogers-Shephard type inequalities for sections. J. Math. Anal. Appl. 487 (2020), no. 1, 123958.
Hoehner, Steven; Roysdon, Michael, An extremal problem for the convolution of logarithmically concave functions, Submitted.
Roysdon, Michael, A Busemann-Petty Type Problem for Dual Radon Transforms, Submitted.
Melbourne, James; Roysdon, Michael; Tang, Colin; Tkocz, Tomasz, From Simplex Slicing to Reverse Hölder Inequalities with Sharp Constants, Submitted.
Malliaris, Andreas; Melbourne, James; Roberto, Cyril; Roysdon Michael, Functional Liftings of Restricted Geometric Inequalities, Submitted.