47 citations · 110 across the 33 of their papers we have counts for
37 papers
Reformalizing the notion of autonomy as closure through category theory as an arrow-first mathematics
Ryuzo Hirota, Hayato Saigo, Shigeru Taguchi
Life continuously changes its own components and states at each moment through interaction with the external world, while maintaining its own individuality in a cyclical manner. Su…
Conserved relativistic Ertel's current generating the vortical and thermodynamic aspects of spacetime
Hirofumi Sakuma, Izumi Ojima, Hayato Saigo +1
Motivated by Aoki et al.'s recent research on conserved charges and entropy current, we investigated the conservation of relativistic Ertel's current, which has received little att…
On the Equivalence of Causal Models: A Category-Theoretic Approach
Jun Otsuka, Hayato Saigo
We develop a category-theoretic criterion for determining the equivalence of causal models having different but homomorphic directed acyclic graphs over discrete variables. Followi…
Order recognition by Schubert polynomials generated by optical near-field statistics via nanometre-scale photochromism
Kazuharu Uchiyama, Sota Nakajima, Hirotsugu Suzui +6
We have previously observed an irregular spatial distribution of photon transmission through a photochromic crystal photoisomerized by a local optical near-field excitation, manife…
Quantum Fields as Category Algebras
Hayato Saigo
In the present paper we propose a new approach to quantum fields in terms of category algebras and states on categories. We define quantum fields and their states as category algeb…
Category Algebras and States on Categories
Hayato Saigo
The purpose of this paper is to build a new bridge between category theory and a generalized probability theory known as noncommutative probability or quantum probability, which wa…