Zobrazeno 1 - 10
of 3 889
pro vyhledávání: '"GOLDMAN, MICHAEL"'
We consider a branched transport problem with weakly imposed boundary conditions. This problem arises as a reduced model for pattern formation in type-I superconductors. For this model, it is conjectured that the dimension of the boundary measure is
Externí odkaz:
http://arxiv.org/abs/2411.14547
We establish the validity of asymptotic limits for the general transportation problem between random i.i.d. points and their common distribution, with respect to the squared Euclidean distance cost, in any dimension larger than three. Previous result
Externí odkaz:
http://arxiv.org/abs/2409.08612
We consider a variational model of electrified liquid drops, involving competition between surface tension and charge repulsion. Since the natural model happens to be ill-posed, we show that by adding to the perimeter a Willmore-type energy, the prob
Externí odkaz:
http://arxiv.org/abs/2409.01045
Autor:
Goldman, Michael, Koch, Lukas
We consider maps $T$ solving the optimal transport problem with a cost $c(x-y)$ modeled on the $p$-cost. For H\"older continuous marginals, we prove a $C^{1,\alpha}$-partial regularity result for $T $in the set $\{|T(x)-x|>0\}$.
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Externí odkaz:
http://arxiv.org/abs/2407.08846
We obtain new bounds for the optimal matching cost for empirical measures with unbounded support. For a large class of radially symmetric and rapidly decaying probability laws, we prove for the first time the asymptotic rate of convergence for the wh
Externí odkaz:
http://arxiv.org/abs/2407.06352
In this note we prove estimates for the average cost in the quadratic optimal transport problem on the two-dimensional flat torus which are optimal up to a double logarithm. We also prove sharp estimates on the displacement. This is based on the comb
Externí odkaz:
http://arxiv.org/abs/2312.07995
Autor:
Goldman, Michael, Merlet, Benoît
We continue the analysis of a family of energies penalizing oscillations in oblique directions: they apply to functions $u(x_1,x_2)$ with $x_l\in\mathbb{R}^{n_l}$ and vanish when $u(x)$ is of the form $u_1(x_1)$ or $u_2(x_2)$. We mainly study the rec
Externí odkaz:
http://arxiv.org/abs/2309.17067
This paper deals with a variant of the optimal transportation problem. Given f $\in$ L 1 (R d , [0, 1]) and a cost function c $\in$ C(R d x R d) of the form c(x, y) = k(y -- x), we minimise $\int$ c d$\gamma$ among transport plans $\gamma$ whose firs
Externí odkaz:
http://arxiv.org/abs/2309.02806
Autor:
Goldman, Michael, Trevisan, Dario
We investigate the one-dimensional random assignment problem in the concave case, i.e., the assignment cost is a concave power function, with exponent $0
Externí odkaz:
http://arxiv.org/abs/2305.09234