2 papers
math.GT2025
Arnold Strangeness of surface immersions
Noboru Ito, Hiroki Mizuno
It is known that for any smooth sphere eversion, the number of quadruple point jumps is always odd. In this paper, we define an integer-valued function that detects and classifies…
cond-mat.stat-mech2012
In-plane deformation of a triangulated surface model with metric degrees of freedom
Hiroki Mizuno, Hiroshi Koibuchi
Using the canonical Monte Carlo simulation technique, we study a Regge calculus model on triangulated spherical surfaces. The discrete model is statistical mechanically defined wit…