Zobrazeno 1 - 10
of 29 442
pro vyhledávání: '"BOREL, P."'
In this article, we characterize both Lusin's theorem and the existence of Borel representatives via the regularity properties of the measure in general topological measure spaces. As a corollary, we prove that Borel regularity of the measure is both
Externí odkaz:
http://arxiv.org/abs/2410.21434
In this paper, we study the Picard group of the Baily-Borel compactification of orthogonal Shimura varieties. As a result, we determine the Picard group of the Baily-Borel compactification of the moduli space of quasi-polarized K3 surfaces. Interesti
Externí odkaz:
http://arxiv.org/abs/2411.12931
Establishing the existence of exact or near Markov or stationary perfect Nash equilibria in nonzero-sum Markov games over Borel spaces remains a challenging problem, with few positive results to date. In this paper, we establish the existence of appr
Externí odkaz:
http://arxiv.org/abs/2411.10805
Autor:
Grebík, Jan, Higgins, Cecelia
We show that the set of locally finite Borel graphs with finite Borel asymptotic dimension is $\mathbf{\Sigma}^1_2$-complete. The result is based on a combinatorial characterization of finite Borel asymptotic dimension for graphs generated by a singl
Externí odkaz:
http://arxiv.org/abs/2411.08797
We show that if $E$ is a countable Borel equivalence relation on $\mathbb{R}^n$, then there is a closed subset $A \subset [0,1]^n$ of Hausdorff dimension $n$ so that $E \restriction A$ is smooth. More generally, if $\leq_Q$ is a locally countable Bor
Externí odkaz:
http://arxiv.org/abs/2410.22034
Autor:
Manthe, Sven
The monadic theory of $(\mathbb R,\le)$ with quantification restricted to Borel sets, or even to $\sigma$-combinations of analytic sets, is decidable. The Boolean combinations of $F_\sigma$-sets form an elementary substructure of the Borel sets. Unde
Externí odkaz:
http://arxiv.org/abs/2410.00887
Autor:
Vaidya, Sachin
In this article, we study Self-Similar configurations of non-relativistic Bose-Einstein condensate (BEC) described by the Gross-Pitaevskii Equation (GPE). To be precise, we discuss singular Self-similar solutions of the Gross-Pitaevskii equation in 2
Externí odkaz:
http://arxiv.org/abs/2412.02728
Let $X$ be an uncountable Polish space and let $\mathcal{I}$ be an ideal on $\omega$. A point $\eta \in X$ is an $\mathcal{I}$-limit point of a sequence $(x_n)$ taking values in $X$ if there exists a subsequence $(x_{k_n})$ convergent to $\eta$ such
Externí odkaz:
http://arxiv.org/abs/2411.10866
Autor:
Vaidya, Sachin, Kruczenski, Martin
In this article, we study the dynamics of a Bose-Einstein condensate (BEC) with the idea of finding solutions that could possibly correspond to a so-called acoustic (or Unruh) black/white holes. Those are flows with horizons where the speed of the fl
Externí odkaz:
http://arxiv.org/abs/2411.06678
Autor:
Peng, Feiyu, Shu, Hongfei
Truncating the Dyson-Schwinger (DS) equations in quantum field theory presents a practical challenge. In this paper, we consider the zero-dimensional prototype of the path integrals in quantum mechanics and quantum field theory. Using the Lefschetz t
Externí odkaz:
http://arxiv.org/abs/2410.13364