22 citations · 59 across the 32 of their papers we have counts for
34 papers
Identification of generic polygonal domains by integral-geometric invariants
Jun O'Hara
We study a reconstruction problem of planar domains from non-local integral-geometric invariants. We show that a generic polygonal domain, not necessarily convex, is uniquely deter…
CR-invariant energy of Legendrian knots in the Heisenberg group
Yoshihiko Matsumoto, Jun O'Hara
We introduce an energy functional for Legendrian knots in the 3-dimensional Heisenberg group , which serves as a sub-Riemannian analog of the Möbius invariant knot ene…
Distinguishing finite metric spaces via similarity spectra
Jun O'Hara
We study spectra and characteristic polynomials of similarity matrices associated with finite metric spaces, where the similarity matrix of a finite metric space $X=\{x_1,\dots,x_n…
Distinguishing regular polygons, cycle graphs, and circular metric spaces by the distance multiset and magnitude
Hiroki Kodama, Jun O'Hara
We investigate how effectively finite metric spaces can be distinguished by distance-based invariants. As model spaces, we consider regular polygons, cycle graphs, and their genera…
Magnitude function determines generic finite metric spaces
Jun O'Hara
We give sufficient conditions for a finite metric space to be determined by the magnitude function. In particular, a generic finite metric space such that the distances between the…
Uniqueness of centers of nearly spherical bodies
Jun O'Hara
An $r^{\an}$-center of a compact body $\Om$ in an dimensional Euclidean space is a point that gives an extremal value of the regularized Riesz potential, which is the (Hadamard…