Results 1 to 10 of about 62,718 (25)
Multiple Access Channel Resolvability Codes from Source Resolvability Codes [PDF]
arXiv, 2021 We show that the problem of code construction for multiple access channel (MAC) resolvability can be reduced to the simpler problem of code construction for source resolvability. Specifically, we propose a MAC resolvability code construction that relies on a combination of multiple source resolvability codes, used in a black-box manner, and leverages ...
arxiv
Measuring the Availability and Response Times of Public Encrypted DNS Resolvers [PDF]
arXiv, 2022 Unencrypted DNS traffic between users and DNS resolvers can lead to privacy and security concerns. In response to these privacy risks, many browser vendors have deployed DNS-over-HTTPS (DoH) to encrypt queries between users and DNS resolvers. Today, many client-side deployments of DoH, particularly in browsers, select between only a few resolvers ...
arxiv
An Improvement of the Resolvent Estimate in the Kreiss Matrix Theorem [PDF]
arXiv, 2022 We improve the resolvent estimate in the Kreiss matrix theorem for a set of matrices that generate uniformly bounded semigroups. The new resolvent estimate is proved to be equivalent to Kreiss's resolvent condition, and it better describes the behavior of the resolvents at infinity.
arxiv
Efficient harmonic resolvent analysis via time-stepping [PDF]
arXiv, 2023 We present an extension of the RSVD-$\Delta t$ algorithm initially developed for resolvent analysis of statistically stationary flows to handle harmonic resolvent analysis of time-periodic flows. The harmonic resolvent operator, as proposed by \citet{Padovanetal20}, characterizes the linearized dynamics of time-periodic flows in the frequency domain ...
arxiv
Translation of Tschebotarow's "The Resolvent Problem" [PDF]
arXiv, 2020 This is an English translation of "The Resolvent Problem" by Tschebotarow/Chebotarev. In this article, Chebotarev summarizes the history of the resolvent problem from compass and ruler constructions to Klein and Hilbert' formlutions of the problems. He also describes his work on the problem up until that time.
arxiv
Geometric features of nonlinear resolvents in the unit disk [PDF]
arXiv, 2021 We study nonlinear resolvents of holomorphic generators of one-parameter semigroups acting in the open unit disk. The class of nonlinear resolvents can be studied in the framework of geometric function theory because it consists of univalent functions.
arxiv
Multiparameter resolvent trace expansion for elliptic boundary problems [PDF]
Analysis, Geom. and Number theory Journal 1, pp 104 (2016), 2013 We establish multiparameter resolvent trace expansions for elliptic boundary value problems, polyhomogeneous both in the resolvent and the auxiliary parameter. The present analysis is rooted in the joint project with Matthias Lesch on multiparameter resolvent trace expansions on revolution surfaces with applications to regularized sums of zeta ...
arxiv +1 more source
On the strong metric dimension of composed graphs [PDF]
arXiv, 2022 Two vertices $u$ and $v$ of an undirected graph $G$ are strongly resolved by a vertex $w$ if there is a shortest path between $w$ and $u$ containing $v$ or a shortest path between $w$ and $v$ containing $u$. A vertex set $R$ is a strong resolving set for $G$ if for each pair of vertices there is a vertex in $R$ that strongly resolves them.
arxiv
Randomized resolvent analysis [PDF]
Phys. Rev. Fluids 5, 033902 (2020), 2019 Performing global resolvent analysis for high-Reynolds-number turbulent flow calls for the handling of a large discrete operator. Even though such large operator is required in the analysis, most applications of resolvent analysis extracts only a few dominant resolvent response and forcing modes. Here, we consider the use of randomized numerical linear
arxiv +1 more source
Translation of Tschebotarow's "The Problem of Resolvents and Critical Manifolds" [PDF]
Reference for original article: N. G. Chebotarev, Izv. Akad. Nauk
SSSR, Ser. Mat. 7, 123-146, 1943, 2020 This is an English translation of "The Problem of Resolvents and Critical Manifolds" by Tschebotarow/Chebotarev. In this article, Chebotarev explains his work on resolvent problems using critical manifolds. The current ideas of resolvent degree and essential dimension arose out of the resolvent problems Chebotarev addresses here. Original abstract by
arxiv