Zobrazeno 1 - 10
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pro vyhledávání: '"Mccann, Robert J"'
We provide a new proof of the splitting theorems from Lorentzian geometry, in which simplicity is gained by sacrificing linearity of the d'Alembertian to recover ellipticity. We exploit a negative homogeneity (non-uniformly) elliptic $p$-d'Alembert o
Externí odkaz:
http://arxiv.org/abs/2410.12632
Autor:
Beran, Tobias, Braun, Mathias, Calisti, Matteo, Gigli, Nicola, McCann, Robert J., Ohanyan, Argam, Rott, Felix, Sämann, Clemens
We introduce a variational first-order Sobolev calculus on metric measure spacetimes. The key object is the maximal weak subslope of an arbitrary causal function, which plays the role of the (Lorentzian) modulus of its differential. It is shown to sa
Externí odkaz:
http://arxiv.org/abs/2408.15968
Autor:
Braun, Mathias, McCann, Robert J.
We describe a nonsmooth notion of globally hyperbolic, regular length metric spacetimes $(\mathrm{M},l)$. It is based on ideas of Kunzinger-S\"amann, but does not require Lipschitz continuity of causal curves. We study geodesics on $\mathrm{M}$ and t
Externí odkaz:
http://arxiv.org/abs/2312.17158
In their study of price discrimination for a monopolist selling heterogeneous products to consumers having private information about their own multidimensional types, Rochet and Chon\'e (1998) discovered a new form of screening in which consumers wit
Externí odkaz:
http://arxiv.org/abs/2311.13012
A key inequality which underpins the regularity theory of optimal transport for costs satisfying the Ma--Trudinger--Wang condition is the Pogorelov second derivative bound. This translates to an apriori interior $C^1$ estimate for smooth optimal maps
Externí odkaz:
http://arxiv.org/abs/2311.10208
Autor:
McCann, Robert J.
We give a simplified approach to Kunzinger & Saemann's theory of Lorentzian length spaces in the globally hyperbolic case; these provide a nonsmooth framework for general relativity. We close a gap in the regularly localizable setting, by showing con
Externí odkaz:
http://arxiv.org/abs/2304.14341
We prove the interior $C^{1,1}$ regularity of the indirect utilities which solve a subclass of principal-agent problems originally considered by Figalli, Kim, and McCann. Our approach is based on construction of a suitable comparison function which,
Externí odkaz:
http://arxiv.org/abs/2303.04937
Adverse selection is a version of the principal-agent problem that includes monopolist nonlinear pricing, where a monopolist with known costs seeks a profit-maximizing price menu facing a population of potential consumers whose preferences are known
Externí odkaz:
http://arxiv.org/abs/2301.07660
On a smooth bounded Euclidean domain, Sobolev-subcritical fast diffusion with vanishing boundary trace is known to lead to finite-time extinction, with a vanishing profile selected by the initial datum. In rescaled variables, we quantify the rate of
Externí odkaz:
http://arxiv.org/abs/2202.02769
Autor:
McCann, Robert J., Sämann, Clemens
Publikováno v:
Pure Appl. Analysis 4 (2022) 367-400
We define a one-parameter family of canonical volume measures on Lorentzian (pre-)length spaces. In the Lorentzian setting, this allows us to define a geometric dimension - akin to the Hausdorff dimension for metric spaces - that distinguishes betwee
Externí odkaz:
http://arxiv.org/abs/2110.04386