Results 11 to 20 of about 45 (42)
Asymptotic behavior of generalized processor sharing queues under subexponential assumptions [PDF]
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openaire +2 more sources
On the topological ranks of Banach ∗$^*$‐algebras associated with groups of subexponential growth
Abstract Let G$G$ be a group of subexponential growth and C→qG$\mathcal C\overset{q}{\rightarrow }G$ a Fell bundle. We show that any Banach ∗$^*$‐algebra that sits between the associated ℓ1$\ell ^1$‐algebra ℓ1(G|C)$\ell ^1(G\,\vert \,\mathcal C)$ and its C∗$C^*$‐envelope has the same topological stable rank and real rank as ℓ1(G|C)$\ell ^1(G\,\vert ...
Felipe I. Flores
wiley +1 more source
A Novel Form of Multiplicative Gamma Function and Its Analytical Properties
In this article, we introduce and investigate a novel Euler‐style multiplicative gamma function formulated within the framework of multiplicative calculus. This function is defined via a multiplicative integral and serves as a multiplicative analogue of the classical gamma function.
Sajedeh Norozpour +4 more
wiley +1 more source
Extension of the Risk Model From a Hawkes Variable Memory Process via the Spearman Copula
The ultimate ruin probability of an insurance company throughout its operating life remains and continues to be a major and very complex concern for the latter. Although this probability of ruin can be modeled using stochastic processes, its determination remains particularly complex.
Souleymane Badini +4 more
wiley +1 more source
Fast and Slow Mixing of the Kawasaki Dynamics on Bounded‐Degree Graphs
ABSTRACT We study the worst‐case mixing time of the global Kawasaki dynamics for the fixed‐magnetization Ising model on the class of graphs of maximum degree Δ$$ \Delta $$. Proving a conjecture of Carlson, Davies, Kolla, and Perkins, we show that below the tree‐uniqueness threshold, the Kawasaki dynamics mix rapidly for all magnetizations. Disproving a
Aiya Kuchukova +3 more
wiley +1 more source
Robust Distance Correlation for Variable Screening
ABSTRACT In modern statistical applications, identifying critical features in high‐dimensional data is essential for scientific discoveries. Traditional best subset selection methods face computational challenges, while regularization approaches such as Lasso, SCAD and their variants often exhibit poor performance with ultrahigh‐dimensional data.
Tianzhou Ma +3 more
wiley +1 more source
Improving the Convergence of Markov Chains via Permutations and Projections
ABSTRACT This paper aims at improving the convergence to equilibrium of finite ergodic Markov chains via permutations and projections. First, we prove that a specific mixture of permuted Markov chains arises naturally as a projection under the KL divergence or the squared‐Frobenius norm.
Michael C. H. Choi +2 more
wiley +1 more source
Forward‐looking experimentation of correlated alternatives
This paper studies how a forward‐looking decision maker experiments on unknown alternatives of correlated utilities. The utilities are modeled by a Brownian motion such that similar alternatives yield similar utilities. Experimentation trades off between the continuation value of exploration and the opportunity cost of exploitation.
Yu Fu Wong
wiley +1 more source
On an Erdős similarity problem in the large
Abstract In a recent paper, Kolountzakis and Papageorgiou ask if for every ε∈(0,1]$\epsilon \in (0,1]$, there exists a set S⊆R$S \subseteq \mathbb {R}$ such that |S∩I|⩾1−ε$\vert S \cap I\vert \geqslant 1 - \epsilon$ for every interval I⊂R$I \subset \mathbb {R}$ with unit length, but that does not contain any affine copy of a given increasing sequence ...
Xiang Gao +2 more
wiley +1 more source
Hausdorff dimensions of irreducible Markov hom tree‐shifts
Abstract This paper features a Cramér's theorem for finite‐state Markov chains indexed by rooted d$d$‐trees, obtained via the method of types in the classical analysis of large deviations. Along with the theorem comes two applications: an almost‐sure type convergence of sample means and a formula for the Hausdorff dimension of the symbolic space ...
Jung‐Chao Ban +2 more
wiley +1 more source

