4 citations · 7 across the 4 of their papers we have counts for
4 papers
Avoiding a shape, and the slice rank method for a system of equations
Masato Mimura, Norihide Tokushige
Fix a vector space over a finite field and a system of linear equations. We provide estimates, in terms of the dimension of the vector space, of the maximum of the sizes of subsets…
Avoiding a star of three-term arthmetic progressions
Masato Mimura, Norihide Tokushige
We provide an upper bound of the size of a subset A of F_p^n that does not admit a k-star of 3-APs (three-term arithmetic progressions). Namely, the subset A is assumed to contain…
Property modulo and homomorphism superrigidity into mapping class groups
Masato Mimura
Every homomorphism from finite index subgroups of a universal lattices to mapping class groups of orientable surfaces (possibly with punctures), or to outer automorphism groups of…
Fixed point property for universal lattice on Schatten classes
Masato Mimura
The special linear group G=SL_n(Z[x1,...,xk]) (n at least 3 and k finite) is called the universal lattice. Let n be at least 4, p be any real number in (1,\infty). The main result…