3 papers
math.AG2025
Triangular spectra and their applications to derived categories of noetherian schemes
Hiroki Matsui
In recent work, for a triangulated category $\cT$, the author introduced a topological space $\tSpec(\cT)$ which we call the triangular spectrum of $\cT$ as a tensor-free analog of…
gr-qc2024
Dissipative Emergence of Inflation from Quasi-Cyclic Universe
Hiroki Matsui, Alexandros Papageorgiou, Fuminobu Takahashi +1
Inflationary models, especially those with plateau-type potentials, are consistent with the cosmological data, but inflation itself does not resolve the initial singularity. This s…
gr-qc2024
Dissipative Genesis of the Inflationary Universe
Hiroki Matsui, Alexandros Papageorgiou, Fuminobu Takahashi +1
We study an inflation model with a flat scalar potential supported by observations and find that slow-roll inflation can emerge after a quasi-cyclic phase of the Universe, where it…