Related papers: Remarks on logarithmic K-stability

We study a variant of algebraic K-theory and prove that it is stable and preserves module structures.

In this new version, we correct some typos. For the readers' convenience, we also added some footnotes and more details for certain lemmas and theorems.

We study logarithmic K-stability for pairs by extending the formula for Donaldson-Futaki invariants to log setting. We also provide algebro-geometric counterparts of recent results of existence of Kahler-Einstein metrics with cone…

This paper is devoted to stability results for the Gaussian logarithmic Sobolev inequality, with explicit stability constants.

We study K-stability of products of K-stable $\mathbb{Q}$-Fano varieties.

We describe a procedure to compute the rational nonstable K-groups of A$\mathbb{T}$-algebras. As an application, we show that an A$\mathbb{T}$-algebra is K-stable if and only if it has slow dimension growth.

This is essentially an expository note based on S. Paul's works on the stability of pairs. Its connection to K-stability will be also discussed.

In this paper, we review recent results on stability and instability in logarithmic Sobolev inequalities, with a particular emphasis on strong norms. We consider several versions of these inequalities on the Euclidean space, for the…

In this paper, by introducing a wider class of one-parameter group actions for test configurations, we have a stronger form of the definition of K-stability. This allows us to obtain some key step of my preceding work in proving that…

In this paper, we explore the wall crossing phenomenon for K-stability, and apply it to explain the wall crossing for K-moduli stacks and K-moduli spaces.

A review of the stochastic stability property for the Gaussian spin glass models is presented and some perspectives discussed.

We prove a stability version of the Pr\'ekopa-Leindler inequality.

We present some informal remarks on aspects of relativistic quantum computing.

Some formulas and speculations are presented relative to integrable systems and quantum mechanics.

We generalise partial results about the Yau-Tian-Donaldson correspondence on ruled manifolds to bundles whose fibre is a classical flag variety. This is done using Chern class computations involving the combinatorics of Schur functors. The…

We give a survey of the recent progress on the study of K-stability of Fano varieties by an algebro-geometric approach.

In this paper, we study the standing wave solutions of Klein--Gordon equation with logarithmic nonlinearity. The existence of the standing wave solution related to the ground state $\phi_0(x)$ is obtained. Further, we prove the instability…

We show how the stability of the E2/M1 ratio, evaluated at the T-matrix pole, can be understood given a much wider variation at the K-matrix pole.

We provide a new characterization of the logarithmic Sobolev inequality.

We improve on Gonek-Montgomery's quantitative version of Kronecker's approximation theorem.