Zobrazeno 1 - 10
of 153
pro vyhledávání: '"Bogachev, Vladimir"'
Autor:
Bogachev, Vladimir I.
We prove pseudocompactness of a Tychonoff space $X$ and the space $\mathcal{P}(X)$ of Radon probability measures on it with the weak topology under the condition that the Stone-\v{C}ech compactification of the space $\mathcal{P}(X)$ is homeomorphic t
Externí odkaz:
http://arxiv.org/abs/2403.15573
We study two topologies $\tau_{KR}$ and $\tau_K$ on the space of measures on a completely regular space generated by Kantorovich--Rubinshtein and Kantorovich seminorms analogous to their classical norms in the case of a metric space. The Kantorovich-
Externí odkaz:
http://arxiv.org/abs/2208.02346
We study qualitative properties of solutions to double divergence form elliptic equations (or stationary Kolmogorov equations) on~$\mathbb{R}^d$. It is shown that the Harnack inequality holds for nonnegative solutions if the diffusion matrix $A$ is n
Externí odkaz:
http://arxiv.org/abs/2203.01000
Autor:
Bogachev, Vladimir, Popova, Svetlana
We consider optimal transportation of measures on metric and topological spaces in the case where the cost function and marginal distributions depend on a parameter with values in a metric space. The Hausdorff distance between the sets of probability
Externí odkaz:
http://arxiv.org/abs/2111.13014
In this paper we show that Markov uniqueness for symmetric pre-Dirichlet operators $L$ follows from the uniqueness of the corresponding Fokker-Planck-Kolmogorov equation (FPKE). Since in recent years a considerable number of uniqueness results for FP
Externí odkaz:
http://arxiv.org/abs/2109.08883
We prove that a probability solution of the stationary Kolmogorov equation generated by a first order perturbation $v$ of the Ornstein--Uhlenbeck operator $L$ possesses a highly integrable density with respect to the Gaussian measure satisfying the n
Externí odkaz:
http://arxiv.org/abs/2104.04674
Autor:
Bogachev, Vladimir, Malofeev, Il'ya
We study measurable dependence of measures on a parameter in the following two classical problems: constructing conditional measures and the Kantorovich optimal transportation. We obtain broad sufficient conditions for the existence of conditional pr
Externí odkaz:
http://arxiv.org/abs/1904.03642
We prove a generalization of the known result of Trevisan on the Ambrosio-Figalli-Trevisan superposition principle for probability solutions to the Cauchy problem for the Fokker-Planck-Kolmogorov equation, according to which such a solution is genera
Externí odkaz:
http://arxiv.org/abs/1903.10834