5 citations · 9 across the 8 of their papers we have counts for
8 papers
Concentration of 1-Lipschitz maps into an infinite dimensional -ball with -distance function
Kei Funano
In this paper, we study the Lévy-Milman concentration phenomenon of 1-Lipschitz maps into infinite dimensional metric spaces. Our main theorem asserts that the concentration to an…
Concentration of maps and group action
Kei Funano
In this paper, from the viewpoint of the concentration theory of maps, we study a compact group and a Lévy group action to a large class of metric spaces, such as R-trees, doubling…
An asymptotic variant of the Fubini theorem for maps into CAT(0)-spaces
Kei Funano
The classical Fubini theorem asserts that the multiple integral is equal to the repeated one for any integrable function on a product measure space. In this paper, we derive an asy…
Central and -concentration of 1-Lipschitz maps into -trees
Kei Funano
In this paper, we study the Lévy-Milman concentration phenomenon of 1-Lipschitz maps from mm-spaces to -trees. Our main theorems assert that the concentration to $\math…
Estimates of Gromov's box distance
Kei Funano
In 1999, M. Gromov introduced the box distance function $\sikaku$ on the space of all mm-spaces. In this paper, by using the method of T. H. Colding (cf. \cite[Lemma 5.10]{Colding}…
A note for Gromov's distance functions on the space of mm-spaces
Kei Funano
This is just a note for \cite[Chapter]{gromov}. Maybe this note is obvious for a reader who knows metric geometry. I wish that someone study further in this direction.