Mamoru Tanaka

activity

20112016

most citedMulti-way expansion constants and partitions of a graph

9 citations · 9 across the 4 of their papers we have counts for

collaborators

4 papers

math.PR2016

A percolation on directed graphs

Mamoru Tanaka

Suppose each site independently and randomly chooses some sites around it, and it is weakly (strongly) connected with them (if there choose each other). What is the probability tha…

math.GR2015

Property $(T_{L^{Φ}})$ and property $(F_{L^{Φ}})$ for Orlicz spaces $L^{Φ}$

Mamoru Tanaka

An Orlicz space $L^{Φ} (Ω)$ is a Banach function space defined by using a Young function $Φ$ , which generalizes the $L^{p}$ spaces. We show that, for a reflexive Orlicz space $L^Φ([0,1]…

math.CO2011★ 9 cited

Multi-way expansion constants and partitions of a graph

Mamoru Tanaka

In this paper, we consider a relation between $k$ -way expansion constant of a finite graph and the expansion constants of subgraphs in a $k$ -partition of the graph. Using this rela…

math.GR2011

Property $(T_{B})$ and Property $(F_{B})$ restricted to a representation without non-zero invariant vectors

Mamoru Tanaka

In this paper, we give a necessary and sufficient condition for which a finitely generated group has a property like Kazhdan's Property $(T)$ restricted to one isometric representa…

A percolation on directed graphs

Property (TLΦ​) and property (FLΦ​) for Orlicz spaces LΦ

Multi-way expansion constants and partitions of a graph

Property (TB​) and Property (FB​) restricted to a representation without non-zero invariant vectors

Property $(T_{L^{Φ}})$ and property $(F_{L^{Φ}})$ for Orlicz spaces $L^{Φ}$

Property $(T_{B})$ and Property $(F_{B})$ restricted to a representation without non-zero invariant vectors