Chen, Lina; Xu, Shicheng Quantitative rigidity of almost maximal volume entropy for both \(\mathsf{RCD}^\ast\) spaces and integral Ricci curvature bound. (English) Zbl 07823119 Adv. Math. 441, Article ID 109543, 22 p. (2024). MSC: 53C23 53C24 53C20 51F99 51K10 PDFBibTeX XMLCite \textit{L. Chen} and \textit{S. Xu}, Adv. Math. 441, Article ID 109543, 22 p. (2024; Zbl 07823119) Full Text: DOI arXiv
Nobili, Francesco; Violo, Ivan Yuri Stability of Sobolev inequalities on Riemannian manifolds with Ricci curvature lower bounds. (English) Zbl 07811955 Adv. Math. 440, Article ID 109521, 58 p. (2024). MSC: 53C21 46E35 49J52 PDFBibTeX XMLCite \textit{F. Nobili} and \textit{I. Y. Violo}, Adv. Math. 440, Article ID 109521, 58 p. (2024; Zbl 07811955) Full Text: DOI arXiv
Porretta, Alessio Decay rates of convergence for Fokker-Planck equations with confining drift. (English) Zbl 07781629 Adv. Math. 436, Article ID 109393, 57 p. (2024). MSC: 35Q84 35K15 47G20 41A25 60G51 60G55 35B05 35F21 49L25 35D40 26A33 35R11 PDFBibTeX XMLCite \textit{A. Porretta}, Adv. Math. 436, Article ID 109393, 57 p. (2024; Zbl 07781629) Full Text: DOI arXiv
Assouline, Rotem; Klartag, Bo’az Horocyclic Brunn-Minkowski inequality. (English) Zbl 07781627 Adv. Math. 436, Article ID 109381, 39 p. (2024). MSC: 53Cxx 49Jxx 52Axx PDFBibTeX XMLCite \textit{R. Assouline} and \textit{B. Klartag}, Adv. Math. 436, Article ID 109381, 39 p. (2024; Zbl 07781627) Full Text: DOI arXiv
Maggi, Francesco; Neumayer, Robin; Tomasetti, Ignacio Rigidity theorems for best Sobolev inequalities. (English) Zbl 07765299 Adv. Math. 434, Article ID 109330, 43 p. (2023). MSC: 26D10 26D15 49Jxx PDFBibTeX XMLCite \textit{F. Maggi} et al., Adv. Math. 434, Article ID 109330, 43 p. (2023; Zbl 07765299) Full Text: DOI arXiv
Zhou, Yu-Long Global well-posedness of the quantum Boltzmann equation for bosons interacting via inverse power law potentials. (English) Zbl 1522.35354 Adv. Math. 430, Article ID 109234, 118 p. (2023). MSC: 35Q20 82C40 82C10 81V73 35B45 35A01 35A02 PDFBibTeX XMLCite \textit{Y.-L. Zhou}, Adv. Math. 430, Article ID 109234, 118 p. (2023; Zbl 1522.35354) Full Text: DOI arXiv
Pass, Brendan; Vargas-Jiménez, Adolfo Monge solutions and uniqueness in multi-marginal optimal transport via graph theory. (English) Zbl 1517.49029 Adv. Math. 428, Article ID 109101, 43 p. (2023). MSC: 49Q22 49Q20 90C48 PDFBibTeX XMLCite \textit{B. Pass} and \textit{A. Vargas-Jiménez}, Adv. Math. 428, Article ID 109101, 43 p. (2023; Zbl 1517.49029) Full Text: DOI arXiv
Monsaingeon, Léonard; Tamanini, Luca; Vorotnikov, Dmitry The dynamical Schrödinger problem in abstract metric spaces. (English) Zbl 1516.49013 Adv. Math. 426, Article ID 109100, 55 p. (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 49J45 49Q20 58B20 PDFBibTeX XMLCite \textit{L. Monsaingeon} et al., Adv. Math. 426, Article ID 109100, 55 p. (2023; Zbl 1516.49013) Full Text: DOI arXiv
Santos-Rodríguez, Jaime On isometries of compact \(L^p\)-Wasserstein spaces. (English) Zbl 1504.53057 Adv. Math. 409, Part A, Article ID 108632, 21 p. (2022). Reviewer: Shi-Zhong Du (Shantou) MSC: 53C23 53C35 53C21 PDFBibTeX XMLCite \textit{J. Santos-Rodríguez}, Adv. Math. 409, Part A, Article ID 108632, 21 p. (2022; Zbl 1504.53057) Full Text: DOI arXiv
Kiriki, Shin; Nakano, Yushi; Soma, Teruhiko Emergence via non-existence of averages. (English) Zbl 1497.37031 Adv. Math. 400, Article ID 108254, 30 p. (2022). MSC: 37C40 37A30 37C29 54C05 54E40 PDFBibTeX XMLCite \textit{S. Kiriki} et al., Adv. Math. 400, Article ID 108254, 30 p. (2022; Zbl 1497.37031) Full Text: DOI arXiv
Kolesnikov, Alexander V.; Werner, Elisabeth M. Blaschke-Santaló inequality for many functions and geodesic barycenters of measures. (English) Zbl 1482.52004 Adv. Math. 396, Article ID 108110, 44 p. (2022). Reviewer: Rolf Schneider (Freiburg im Breisgau) MSC: 52A20 52A40 26D15 49Q22 28A75 PDFBibTeX XMLCite \textit{A. V. Kolesnikov} and \textit{E. M. Werner}, Adv. Math. 396, Article ID 108110, 44 p. (2022; Zbl 1482.52004) Full Text: DOI arXiv
Duan, Renjun; Li, Wei-Xi; Liu, Lvqiao Gevrey regularity of mild solutions to the non-cutoff Boltzmann equation. (English) Zbl 1481.35303 Adv. Math. 395, Article ID 108159, 75 p. (2022). MSC: 35Q20 35B65 35B20 35H10 35A01 35A02 82C40 PDFBibTeX XMLCite \textit{R. Duan} et al., Adv. Math. 395, Article ID 108159, 75 p. (2022; Zbl 1481.35303) Full Text: DOI arXiv
Brannan, Michael; Gao, Li; Junge, Marius Complete logarithmic Sobolev inequalities via Ricci curvature bounded below. (English) Zbl 1493.46082 Adv. Math. 394, Article ID 108129, 60 p. (2022). Reviewer: Adam Skalski (Warszawa) MSC: 46L53 46L57 53C23 PDFBibTeX XMLCite \textit{M. Brannan} et al., Adv. Math. 394, Article ID 108129, 60 p. (2022; Zbl 1493.46082) Full Text: DOI arXiv
Naor, Assaf Impossibility of almost extension. (English) Zbl 1486.46026 Adv. Math. 384, Article ID 107761, 34 p. (2021). MSC: 46B85 PDFBibTeX XMLCite \textit{A. Naor}, Adv. Math. 384, Article ID 107761, 34 p. (2021; Zbl 1486.46026) Full Text: DOI arXiv
Berger, Pierre; Bochi, Jairo On emergence and complexity of ergodic decompositions. (English) Zbl 1482.37004 Adv. Math. 390, Article ID 107904, 52 p. (2021). Reviewer: Francisco Balibrea (Murcia) MSC: 37A25 37A05 37A30 37A50 37C05 37C45 37C40 PDFBibTeX XMLCite \textit{P. Berger} and \textit{J. Bochi}, Adv. Math. 390, Article ID 107904, 52 p. (2021; Zbl 1482.37004) Full Text: DOI arXiv
Cavalletti, Fabio; Farinelli, Sara Indeterminacy estimates and the size of nodal sets in singular spaces. (English) Zbl 1471.49032 Adv. Math. 389, Article ID 107919, 38 p. (2021). MSC: 49Q22 58C40 PDFBibTeX XMLCite \textit{F. Cavalletti} and \textit{S. Farinelli}, Adv. Math. 389, Article ID 107919, 38 p. (2021; Zbl 1471.49032) Full Text: DOI arXiv
Miura, Tatsuya; Otto, Felix Sharp boundary \(\varepsilon\)-regularity of optimal transport maps. (English) Zbl 1459.49032 Adv. Math. 381, Article ID 107603, 66 p. (2021). Reviewer: Andrew Bucki (Edmond) MSC: 49Q22 49N60 35B65 PDFBibTeX XMLCite \textit{T. Miura} and \textit{F. Otto}, Adv. Math. 381, Article ID 107603, 66 p. (2021; Zbl 1459.49032) Full Text: DOI arXiv
Lim, Yongdo; Pálfia, Miklós Existence, uniqueness and an ODE approach to the \(L^1\)-Karcher mean. (English) Zbl 1482.47143 Adv. Math. 376, Article ID 107435, 46 p. (2021). Reviewer: Ismail Nikoufar (Tehran) MSC: 47L07 60B05 47A64 47H20 PDFBibTeX XMLCite \textit{Y. Lim} and \textit{M. Pálfia}, Adv. Math. 376, Article ID 107435, 46 p. (2021; Zbl 1482.47143) Full Text: DOI arXiv
Han, Bang-Xian Measure rigidity of synthetic lower Ricci curvature bound on Riemannian manifolds. (English) Zbl 1447.30007 Adv. Math. 373, Article ID 107327, 31 p. (2020). MSC: 30L99 PDFBibTeX XMLCite \textit{B.-X. Han}, Adv. Math. 373, Article ID 107327, 31 p. (2020; Zbl 1447.30007) Full Text: DOI arXiv
Cushing, D.; Kamtue, S.; Koolen, J.; Liu, S.; Münch, F.; Peyerimhoff, N. Rigidity of the Bonnet-Myers inequality for graphs with respect to Ollivier Ricci curvature. (English) Zbl 1440.05069 Adv. Math. 369, Article ID 107188, 52 p. (2020). MSC: 05C10 05C76 53C24 PDFBibTeX XMLCite \textit{D. Cushing} et al., Adv. Math. 369, Article ID 107188, 52 p. (2020; Zbl 1440.05069) Full Text: DOI arXiv
Hiai, Fumio; Lim, Yongdo Operator means of probability measures. (English) Zbl 1444.47029 Adv. Math. 365, Article ID 107038, 40 p. (2020). Reviewer: Jaspal Singh Aujla (Jalandhar) MSC: 47A64 47B65 47L07 58B20 PDFBibTeX XMLCite \textit{F. Hiai} and \textit{Y. Lim}, Adv. Math. 365, Article ID 107038, 40 p. (2020; Zbl 1444.47029) Full Text: DOI arXiv
Fritz, Tobias; Perrone, Paolo Stochastic order on metric spaces and the ordered Kantorovich monad. (English) Zbl 1437.18005 Adv. Math. 366, Article ID 107081, 46 p. (2020). Reviewer: Eigil Rischel (København) MSC: 18C15 60B05 28A33 54E35 54F05 PDFBibTeX XMLCite \textit{T. Fritz} and \textit{P. Perrone}, Adv. Math. 366, Article ID 107081, 46 p. (2020; Zbl 1437.18005) Full Text: DOI arXiv
Wei, Dongyi; Zhang, Zhifei; Zhao, Weiren Linear inviscid damping and enhanced dissipation for the Kolmogorov flow. (English) Zbl 1437.76010 Adv. Math. 362, Article ID 106963, 103 p. (2020). Reviewer: Gelu Paşa (Bucureşti) MSC: 76D03 76B03 35Q30 35Q31 PDFBibTeX XMLCite \textit{D. Wei} et al., Adv. Math. 362, Article ID 106963, 103 p. (2020; Zbl 1437.76010) Full Text: DOI arXiv
Duan, Renjun; Yu, Hongjun The Vlasov-Poisson-Landau system near a local Maxwellian. (English) Zbl 1433.35403 Adv. Math. 362, Article ID 106956, 83 p. (2020). MSC: 35Q83 35A01 35B35 35B40 35Q31 76P05 35Q20 PDFBibTeX XMLCite \textit{R. Duan} and \textit{H. Yu}, Adv. Math. 362, Article ID 106956, 83 p. (2020; Zbl 1433.35403) Full Text: DOI
Tsukamoto, Masaki Double variational principle for mean dimension with potential. (English) Zbl 1436.37032 Adv. Math. 361, Article ID 106935, 53 p. (2020). MSC: 37C45 37B40 37D35 37A05 PDFBibTeX XMLCite \textit{M. Tsukamoto}, Adv. Math. 361, Article ID 106935, 53 p. (2020; Zbl 1436.37032) Full Text: DOI arXiv
Carlen, Eric A.; Carvalho, Maria C.; Loss, Michael P. Chaos, ergodicity, and equilibria in a quantum Kac model. (English) Zbl 1427.35172 Adv. Math. 358, Article ID 106827, 50 p. (2019). MSC: 35Q20 47L90 46L57 17B37 81Q50 PDFBibTeX XMLCite \textit{E. A. Carlen} et al., Adv. Math. 358, Article ID 106827, 50 p. (2019; Zbl 1427.35172) Full Text: DOI arXiv
Fila, Marek; Winkler, Michael A Gagliardo-Nirenberg-type inequality and its applications to decay estimates for solutions of a degenerate parabolic equation. (English) Zbl 1428.26026 Adv. Math. 357, Article ID 106823, 40 p. (2019). MSC: 26D10 35B40 35K65 PDFBibTeX XMLCite \textit{M. Fila} and \textit{M. Winkler}, Adv. Math. 357, Article ID 106823, 40 p. (2019; Zbl 1428.26026) Full Text: DOI arXiv
Haberl, Christoph; Schuster, Franz E. Affine vs. Euclidean isoperimetric inequalities. (English) Zbl 1436.51017 Adv. Math. 356, Article ID 106811, 26 p. (2019). Reviewer: Martin Lukarevski (Skopje) MSC: 51M16 52A40 46E35 PDFBibTeX XMLCite \textit{C. Haberl} and \textit{F. E. Schuster}, Adv. Math. 356, Article ID 106811, 26 p. (2019; Zbl 1436.51017) Full Text: DOI arXiv
Münch, Florentin; Wojciechowski, Radosław K. Ollivier Ricci curvature for general graph Laplacians: heat equation, Laplacian comparison, non-explosion and diameter bounds. (English) Zbl 1426.82055 Adv. Math. 356, Article ID 106759, 45 p. (2019). MSC: 82C41 60J60 82B30 05C90 PDFBibTeX XMLCite \textit{F. Münch} and \textit{R. K. Wojciechowski}, Adv. Math. 356, Article ID 106759, 45 p. (2019; Zbl 1426.82055) Full Text: DOI arXiv
Nakajima, Hiroki; Shioya, Takashi Isoperimetric rigidity and distributions of 1-Lipschitz functions. (English) Zbl 1415.53030 Adv. Math. 349, 1198-1233 (2019). MSC: 53C23 53C20 PDFBibTeX XMLCite \textit{H. Nakajima} and \textit{T. Shioya}, Adv. Math. 349, 1198--1233 (2019; Zbl 1415.53030) Full Text: DOI arXiv
Cotar, Codina; Petrache, Mircea Next-order asymptotic expansion for \(N\)-marginal optimal transport with Coulomb and Riesz costs. (English) Zbl 1407.82053 Adv. Math. 344, 137-233 (2019). MSC: 82C70 81V70 49K21 82B10 82B03 PDFBibTeX XMLCite \textit{C. Cotar} and \textit{M. Petrache}, Adv. Math. 344, 137--233 (2019; Zbl 1407.82053) Full Text: DOI arXiv
Duan, Renjun; Wang, Yong The Boltzmann equation with large-amplitude initial data in bounded domains. (English) Zbl 1406.35216 Adv. Math. 343, 36-109 (2019). MSC: 35Q20 76P05 35A01 35B45 PDFBibTeX XMLCite \textit{R. Duan} and \textit{Y. Wang}, Adv. Math. 343, 36--109 (2019; Zbl 1406.35216) Full Text: DOI arXiv
Ache, Antonio G.; Warren, Micah W. Ricci curvature and the manifold learning problem. (English) Zbl 1415.93297 Adv. Math. 342, 14-66 (2019). Reviewer: Kurt Marti (München) MSC: 93E35 53A07 53A05 68T05 PDFBibTeX XMLCite \textit{A. G. Ache} and \textit{M. W. Warren}, Adv. Math. 342, 14--66 (2019; Zbl 1415.93297) Full Text: DOI arXiv
Balogh, Zoltán M.; Kristály, Alexandru Equality in Borell-Brascamp-Lieb inequalities on curved spaces. (English) Zbl 1402.49035 Adv. Math. 339, 453-494 (2018). MSC: 49Q20 53C21 39B62 53C24 58E35 PDFBibTeX XMLCite \textit{Z. M. Balogh} and \textit{A. Kristály}, Adv. Math. 339, 453--494 (2018; Zbl 1402.49035) Full Text: DOI arXiv
Izosimov, Anton; Khesin, Boris Vortex sheets and diffeomorphism groupoids. (English) Zbl 1442.76001 Adv. Math. 338, 447-501 (2018). MSC: 76-02 35Q31 53Z05 17B81 76B99 PDFBibTeX XMLCite \textit{A. Izosimov} and \textit{B. Khesin}, Adv. Math. 338, 447--501 (2018; Zbl 1442.76001) Full Text: DOI arXiv
Coja-Oghlan, Amin; Krzakala, Florent; Perkins, Will; Zdeborová, Lenka Information-theoretic thresholds from the cavity method. (English) Zbl 1397.82013 Adv. Math. 333, 694-795 (2018). Reviewer: Hasan Akin (Gaziantep) MSC: 82B20 82B26 05C80 82D40 05C15 PDFBibTeX XMLCite \textit{A. Coja-Oghlan} et al., Adv. Math. 333, 694--795 (2018; Zbl 1397.82013) Full Text: DOI arXiv
Popescu, Ionel Free functional inequalities on the circle. (English) Zbl 1400.46054 Adv. Math. 330, 1101-1159 (2018). MSC: 46L54 PDFBibTeX XMLCite \textit{I. Popescu}, Adv. Math. 330, 1101--1159 (2018; Zbl 1400.46054) Full Text: DOI arXiv
Ketterer, Christian; Mondino, Andrea Sectional and intermediate Ricci curvature lower bounds via optimal transport. (English) Zbl 1387.53027 Adv. Math. 329, 781-818 (2018). MSC: 53B20 49Q20 90B06 PDFBibTeX XMLCite \textit{C. Ketterer} and \textit{A. Mondino}, Adv. Math. 329, 781--818 (2018; Zbl 1387.53027) Full Text: DOI arXiv Link
Soffer, Avy; Tran, Minh-Binh On the dynamics of finite temperature trapped Bose gases. (English) Zbl 1386.82035 Adv. Math. 325, 533-607 (2018). Reviewer: Guy Jumarie (Montréal) MSC: 82C10 82C22 82C40 35Q20 35B44 35Q55 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{M.-B. Tran}, Adv. Math. 325, 533--607 (2018; Zbl 1386.82035) Full Text: DOI arXiv
Kell, Martin Transport maps, non-branching sets of geodesics and measure rigidity. (English) Zbl 1400.49054 Adv. Math. 320, 520-573 (2017). MSC: 49Q20 28C15 PDFBibTeX XMLCite \textit{M. Kell}, Adv. Math. 320, 520--573 (2017; Zbl 1400.49054) Full Text: DOI arXiv
Fathi, Max; Nelson, Brent Free Stein kernels and an improvement of the free logarithmic Sobolev inequality. (English) Zbl 1381.46058 Adv. Math. 317, 193-223 (2017). MSC: 46L54 60E15 PDFBibTeX XMLCite \textit{M. Fathi} and \textit{B. Nelson}, Adv. Math. 317, 193--223 (2017; Zbl 1381.46058) Full Text: DOI arXiv
Kim, Young-Heon; Pass, Brendan Wasserstein barycenters over Riemannian manifolds. (English) Zbl 1373.60006 Adv. Math. 307, 640-683 (2017). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 60B05 60D05 58C35 PDFBibTeX XMLCite \textit{Y.-H. Kim} and \textit{B. Pass}, Adv. Math. 307, 640--683 (2017; Zbl 1373.60006) Full Text: DOI arXiv
Nguyen, Van Hoang New approach to the affine Pólya-Szegö principle and the stability version of the affine Sobolev inequality. (English) Zbl 1355.26018 Adv. Math. 302, 1080-1110 (2016). Reviewer: Sanja Varošanec (Zagreb) MSC: 26D07 46E35 52A40 PDFBibTeX XMLCite \textit{V. H. Nguyen}, Adv. Math. 302, 1080--1110 (2016; Zbl 1355.26018) Full Text: DOI arXiv
Cianchi, Andrea; Maz’ya, Vladimir Sobolev inequalities in arbitrary domains. (English) Zbl 1346.46022 Adv. Math. 293, 644-696 (2016). Reviewer: Dachun Yang (Beijing) MSC: 46E35 46E30 PDFBibTeX XMLCite \textit{A. Cianchi} and \textit{V. Maz'ya}, Adv. Math. 293, 644--696 (2016; Zbl 1346.46022) Full Text: DOI arXiv
Cavalletti, Fabio; Mondino, Andrea Measure rigidity of Ricci curvature lower bounds. (English) Zbl 1327.53050 Adv. Math. 286, 430-480 (2016). MSC: 53C23 28A33 PDFBibTeX XMLCite \textit{F. Cavalletti} and \textit{A. Mondino}, Adv. Math. 286, 430--480 (2016; Zbl 1327.53050) Full Text: DOI arXiv
Vétois, Jérôme Decay estimates and a vanishing phenomenon for the solutions of critical anisotropic equations. (English) Zbl 1410.35042 Adv. Math. 284, 122-158 (2015). MSC: 35J62 35J92 35B40 35A23 35B33 PDFBibTeX XMLCite \textit{J. Vétois}, Adv. Math. 284, 122--158 (2015; Zbl 1410.35042) Full Text: DOI arXiv
Huang, Yong; Jiang, Feida; Liu, Jiakun Boundary \(C^{2, \alpha}\) estimates for Monge-Ampère type equations. (English) Zbl 1328.35061 Adv. Math. 281, 706-733 (2015). Reviewer: Igor G. Nikolaev (Urbana) MSC: 35J96 35J60 35J25 35D40 PDFBibTeX XMLCite \textit{Y. Huang} et al., Adv. Math. 281, 706--733 (2015; Zbl 1328.35061) Full Text: DOI
Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka Higher-order Sobolev embeddings and isoperimetric inequalities. (English) Zbl 1334.46027 Adv. Math. 273, 568-650 (2015). MSC: 46E35 46E30 PDFBibTeX XMLCite \textit{A. Cianchi} et al., Adv. Math. 273, 568--650 (2015; Zbl 1334.46027) Full Text: DOI arXiv
Chen, Shibing; Figalli, Alessio Boundary \(\varepsilon\)-regularity in optimal transportation. (English) Zbl 1307.49045 Adv. Math. 273, 540-567 (2015). MSC: 49Q20 49N60 PDFBibTeX XMLCite \textit{S. Chen} and \textit{A. Figalli}, Adv. Math. 273, 540--567 (2015; Zbl 1307.49045) Full Text: DOI arXiv
Bessi, Ugo A time-step approximation scheme for a viscous version of the Vlasov equation. (English) Zbl 1298.49044 Adv. Math. 266, 17-83 (2014). MSC: 49L25 35Q83 35Q84 PDFBibTeX XMLCite \textit{U. Bessi}, Adv. Math. 266, 17--83 (2014; Zbl 1298.49044) Full Text: DOI arXiv
Sohinger, Vedran; Strain, Robert M. The Boltzmann equation, Besov spaces, and optimal time decay rates in \(\mathbb{R}_x^n\). (English) Zbl 1293.35195 Adv. Math. 261, 274-332 (2014). MSC: 35Q20 35R11 76P05 82C40 35B65 26A33 PDFBibTeX XMLCite \textit{V. Sohinger} and \textit{R. M. Strain}, Adv. Math. 261, 274--332 (2014; Zbl 1293.35195) Full Text: DOI arXiv
Munteanu, Ovidiu; Wang, Jiaping Geometry of manifolds with densities. (English) Zbl 1290.53048 Adv. Math. 259, 269-305 (2014). MSC: 53C20 53C21 PDFBibTeX XMLCite \textit{O. Munteanu} and \textit{J. Wang}, Adv. Math. 259, 269--305 (2014; Zbl 1290.53048) Full Text: DOI arXiv
Gigli, Nicola; Mantegazza, Carlo A flow tangent to the Ricci flow via heat kernels and mass transport. (English) Zbl 1288.53059 Adv. Math. 250, 74-104 (2014). MSC: 53C44 58C35 PDFBibTeX XMLCite \textit{N. Gigli} and \textit{C. Mantegazza}, Adv. Math. 250, 74--104 (2014; Zbl 1288.53059) Full Text: DOI arXiv
Ohta, Shin-ichi; Sturm, Karl-Theodor Bochner-Weitzenböck formula and Li-Yau estimates on Finsler manifolds. (English) Zbl 1321.53089 Adv. Math. 252, 429-448 (2014). Reviewer: Gabriel Larotonda (Buenos Aires) MSC: 53C60 58J35 PDFBibTeX XMLCite \textit{S.-i. Ohta} and \textit{K.-T. Sturm}, Adv. Math. 252, 429--448 (2014; Zbl 1321.53089) Full Text: DOI arXiv
Ludwig, Monika Anisotropic fractional Sobolev norms. (English) Zbl 1305.46030 Adv. Math. 252, 150-157 (2014). MSC: 46E35 PDFBibTeX XMLCite \textit{M. Ludwig}, Adv. Math. 252, 150--157 (2014; Zbl 1305.46030) Full Text: DOI arXiv
Chang, Sun-Yung Alice; Wang, Yi Inequalities for quermassintegrals on \(k\)-convex domains. (English) Zbl 1283.49059 Adv. Math. 248, 335-377 (2013). MSC: 49Q20 52A38 PDFBibTeX XMLCite \textit{S.-Y. A. Chang} and \textit{Y. Wang}, Adv. Math. 248, 335--377 (2013; Zbl 1283.49059) Full Text: DOI
Colesanti, Andrea; Fragalà, Ilaria The first variation of the total mass of log-concave functions and related inequalities. (English) Zbl 1305.26033 Adv. Math. 244, 708-749 (2013). Reviewer: Mihály Bessenyei (Debrecen) MSC: 26B25 26D10 52A20 PDFBibTeX XMLCite \textit{A. Colesanti} and \textit{I. Fragalà}, Adv. Math. 244, 708--749 (2013; Zbl 1305.26033) Full Text: DOI arXiv
Biane, Philippe; Dabrowski, Yoann Concavification of free entropy. (English) Zbl 1269.46044 Adv. Math. 234, 667-696 (2013). MSC: 46L54 60G15 94A17 PDFBibTeX XMLCite \textit{P. Biane} and \textit{Y. Dabrowski}, Adv. Math. 234, 667--696 (2013; Zbl 1269.46044) Full Text: DOI arXiv
Koskela, Pekka; Zhou, Yuan Geometry and analysis of Dirichlet forms. (English) Zbl 1253.53035 Adv. Math. 231, No. 5, 2755-2801 (2012). Reviewer: Dian K. Palagachev (Bari) MSC: 53C21 35K05 58J35 28C15 PDFBibTeX XMLCite \textit{P. Koskela} and \textit{Y. Zhou}, Adv. Math. 231, No. 5, 2755--2801 (2012; Zbl 1253.53035) Full Text: DOI arXiv
Carrillo, José A.; Ferreira, Lucas C. F.; Precioso, Juliana C. A mass-transportation approach to a one dimensional fluid mechanics model with nonlocal velocity. (English) Zbl 1252.35224 Adv. Math. 231, No. 1, 306-327 (2012). MSC: 35Q35 35C06 35B40 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Adv. Math. 231, No. 1, 306--327 (2012; Zbl 1252.35224) Full Text: DOI arXiv
Wang, Tuo The affine Sobolev-Zhang inequality on BV(\(\mathbb R^n)\). (English) Zbl 1257.46016 Adv. Math. 230, No. 4-6, 2457-2473 (2012). Reviewer: Monika Ludwig (Wien) MSC: 46E35 52A20 PDFBibTeX XMLCite \textit{T. Wang}, Adv. Math. 230, No. 4--6, 2457--2473 (2012; Zbl 1257.46016) Full Text: DOI
Gressman, Philip T.; Krieger, Joachim; Strain, Robert M. A non-local inequality and global existence. (English) Zbl 1248.35005 Adv. Math. 230, No. 2, 642-648 (2012). MSC: 35A23 35Q20 35B65 35K55 26D10 PDFBibTeX XMLCite \textit{P. T. Gressman} et al., Adv. Math. 230, No. 2, 642--648 (2012; Zbl 1248.35005) Full Text: DOI arXiv
Ohta, Shin-ichi; Takatsu, Asuka Displacement convexity of generalized relative entropies. (English) Zbl 1223.53032 Adv. Math. 228, No. 3, 1742-1787 (2011). MSC: 53C21 58J35 60B05 28D20 PDFBibTeX XMLCite \textit{S.-i. Ohta} and \textit{A. Takatsu}, Adv. Math. 228, No. 3, 1742--1787 (2011; Zbl 1223.53032) Full Text: DOI arXiv
Gressman, Philip T.; Strain, Robert M. Sharp anisotropic estimates for the Boltzmann collision operator and its entropy production. (English) Zbl 1234.35173 Adv. Math. 227, No. 6, 2349-2384 (2011). Reviewer: Giovanni Mascali (Arcavacata di Rende) MSC: 35Q20 35R11 76P05 82C40 35B65 26A33 PDFBibTeX XMLCite \textit{P. T. Gressman} and \textit{R. M. Strain}, Adv. Math. 227, No. 6, 2349--2384 (2011; Zbl 1234.35173) Full Text: DOI arXiv
Gangbo, W.; Tudorascu, A. Lagrangian dynamics on an infinite-dimensional torus; a weak KAM theorem. (English) Zbl 1186.49031 Adv. Math. 224, No. 1, 260-292 (2010). MSC: 49Q20 82C40 47J25 49L25 PDFBibTeX XMLCite \textit{W. Gangbo} and \textit{A. Tudorascu}, Adv. Math. 224, No. 1, 260--292 (2010; Zbl 1186.49031) Full Text: DOI
Alonso, Ricardo J.; Carneiro, Emanuel Estimates for the Boltzmann collision operator via radial symmetry and Fourier transform. (English) Zbl 1422.76157 Adv. Math. 223, No. 2, 511-528 (2010). MSC: 76P05 35Q20 47G10 PDFBibTeX XMLCite \textit{R. J. Alonso} and \textit{E. Carneiro}, Adv. Math. 223, No. 2, 511--528 (2010; Zbl 1422.76157) Full Text: DOI arXiv
Bertrand, Jérôme Existence and uniqueness of optimal maps on Alexandrov spaces. (English) Zbl 1149.49002 Adv. Math. 219, No. 3, 838-851 (2008). MSC: 49J20 58E20 PDFBibTeX XMLCite \textit{J. Bertrand}, Adv. Math. 219, No. 3, 838--851 (2008; Zbl 1149.49002) Full Text: DOI arXiv
Barnsley, Michael F.; Hutchinson, John E.; Stenflo, Örjan \(V\)-variable fractals: Fractals with partial self similarity. (English) Zbl 1169.28006 Adv. Math. 218, No. 6, 2051-2088 (2008). Reviewer: Tomasz Kubiak (Poznań) MSC: 28A80 60G57 PDFBibTeX XMLCite \textit{M. F. Barnsley} et al., Adv. Math. 218, No. 6, 2051--2088 (2008; Zbl 1169.28006) Full Text: DOI arXiv
Gomes, Diogo A.; Valdinoci, Enrico Entropy penalization methods for Hamilton-Jacobi equations. (English) Zbl 1119.70013 Adv. Math. 215, No. 1, 94-152 (2007). MSC: 70H20 PDFBibTeX XMLCite \textit{D. A. Gomes} and \textit{E. Valdinoci}, Adv. Math. 215, No. 1, 94--152 (2007; Zbl 1119.70013) Full Text: DOI
Barvinok, Alexander Brunn–Minkowski inequalities for contingency tables and integer flows. (English) Zbl 1119.05005 Adv. Math. 211, No. 1, 105-122 (2007). MSC: 05A15 62H17 52A40 PDFBibTeX XMLCite \textit{A. Barvinok}, Adv. Math. 211, No. 1, 105--122 (2007; Zbl 1119.05005) Full Text: DOI arXiv
Bernard, Patrick; Buffoni, Boris The Monge problem for supercritical Mañé potentials on compact manifolds. (English) Zbl 1137.49037 Adv. Math. 207, No. 2, 691-706 (2006). MSC: 49Q20 35F20 37J50 PDFBibTeX XMLCite \textit{P. Bernard} and \textit{B. Buffoni}, Adv. Math. 207, No. 2, 691--706 (2006; Zbl 1137.49037) Full Text: DOI arXiv
Cordero-Erausquin, D.; Nazaret, B.; Villani, C. A mass-transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities. (English) Zbl 1048.26010 Adv. Math. 182, No. 2, 307-332 (2004). Reviewer: Hans Triebel (Jena) MSC: 26D10 46E35 49Q20 PDFBibTeX XMLCite \textit{D. Cordero-Erausquin} et al., Adv. Math. 182, No. 2, 307--332 (2004; Zbl 1048.26010) Full Text: DOI