Bilatu
170-tik 1-10 emaitza erakusten
Linearization of holomorphic families of algebraic automor- phisms of the affine plane
(2022-01-03)
Let $G$ be a reductive group. We prove that a family of polynomial actions of $G$ on $\mathbb{C}^2$, holomorphically parametrized by an open Riemann surface, is linearizable. As an application, we show that a particular ...
Weak* Hypertopologies with Application to Genericity of Convex Sets
(2022)
We propose a new class of hypertopologies, called here weak$^{\ast }$
hypertopologies, on the dual space $\mathcal{X}^{\ast }$ of a real or
complex topological vector space $\mathcal{X}$. The most well-studied and
well-known ...
Lower bounds on Hilbert-Kunz multiplicities and maximal F-signature
(2022)
ABSTRACT. Hilbert–Kunz multiplicity and F-signature are numerical invariants of commutative rings in positive characteristic that measure severity of singularities: for a regular ring both invariants are equal to one and ...
Uniform Lech's inequality
(2022)
Let (R,m) be a Noetherian local ring of dimension d ≥ 2. We prove that if e(Rred) > 1, then the classical Lech’s inequality can be improved uniformly for all m-primary ideals, that is, there exists ε > 0 such that e(I) ...
Entanglement of classical and quantum short-range dynamics in mean-field systems
(2021-11-01)
The relationship between classical and quantum mechanics is usually understood via the limit ħ→0. This is the underlying idea behind the quantization of classical objects. The apparent incompatibility of general relativity ...
Another Proof of Born's Rule on Arbitrary Cauchy Surfaces
(2021-10-14)
In 2017, Lienert and Tumulka proved Born's rule on arbitrary Cauchy surfaces in Minkowski space-time assuming Born's rule and a corresponding collapse rule on horizontal surfaces relative to a fixed Lorentz frame, as well ...
High temperature convergence of the KMS boundary conditions: The Bose-Hubbard model on a finite graph
(2021-08-01)
The Kubo-Martin-Schwinger (KMS) condition is a widely studied fundamental property in quantum statistical mechanics which characterizes the thermal equilibrium states of quantum systems. In the seventies, Gallavotti and ...
Classification of smooth factorial affine surfaces of Kodaira dimension zero with trivial units
(2021-07-31)
We give a corrected statement of (Gurjar and Miyanishi 1988, Theorem 2), which classifies smooth affine surfaces of Kodaira dimension zero, whose coordinate ring is factorial and has trivial units. Denote the class of such ...
Stochastic Properties of Colliding Hard Spheres in a Non-equilibrium Thermal Bath
(2021-07-24)
We consider the problem of describing the dynamics of a test particle moving in a thermal bath using the stochastic differential equations. We briefly recall the stochastic approach to the Brownian based on the statistical ...
Fractional Diffusion and Medium Heterogeneity: The Case of the Continuos Time Random Walk
(2021-07-24)
In this contribution we show that fractional diffusion emerges from a simple Markovian Gaussian random walk when the medium displays a power-law heterogeneity. Within the framework of the continuous time random walk, the ...