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We introduce and study conjugate reversibility (or $c$-reversibility) in the complex special linear group $\SL(n,\C)$ where an element is conjugate to the inverse of its complex conjugate. We prove that in $\SL(n, \C)$, every $c$-reversible…

群论 · 数学 2025-06-19 Krishnendu Gongopadhyay , Rahul Mondal

We examine the convergence properties of sequences of nonnegative real numbers that satisfy a particular class of recursive inequalities, from the perspective of proof theory and computability theory. We first establish a number of results…

逻辑 · 数学 2023-05-02 Morenikeji Neri , Thomas Powell

In the last decades, great achievements have been made in the development of computing machines. However, due to exponential growth of transistor density and in particular due to tremendously increasing power consumption, researchers expect…

新兴技术 · 计算机科学 2014-07-03 Piyush Gautam

In this work, we incorporate reversibility into structured communication-based programming, to allow parties of a session to automatically undo, in a rollback fashion, the effect of previously executed interactions. This permits taking…

编程语言 · 计算机科学 2014-06-16 Francesco Tiezzi , Nobuko Yoshida

Proposed models of closed timelike curves (CTCs) have been shown to enable powerful information-processing protocols. We examine the simulation of models of CTCs both by other models of CTCs and by physical systems without access to CTCs.…

量子物理 · 物理学 2017-02-28 Todd A. Brun , Mark M. Wilde

We present a novel class of methods to compute functions of matrices or their action on vectors that are suitable for parallel programming. Solving appropriate simple linear systems of equations in parallel (or computing the inverse of…

数值分析 · 数学 2022-10-10 Sergio Blanes

In a reversible language, any forward computation can be undone by a finite sequence of backward steps. Reversible computing has been studied in the context of different programming languages and formalisms, where it has been used for…

编程语言 · 计算机科学 2016-08-22 Naoki Nishida , Adrián Palacios , Germán Vidal

In a reversible language, any forward computation can be undone by a finite sequence of backward steps. Reversible computing has been studied in the context of different programming languages and formalisms, where it has been used for…

编程语言 · 计算机科学 2018-06-20 Ivan Lanese , Naoki Nishida , Adrián Palacios , Germán Vidal

Reversible computing is a paradigm of computation that reflects physical reversibility, one of the fundamental microscopic laws of Nature. In this survey, we discuss topics on reversible logic elements with memory (RLEM), which can be used…

形式语言与自动机理论 · 计算机科学 2013-09-06 Kenichi Morita

Reversible computing is a computational paradigm in which computations are deterministic in both the forward and backward direction, so that programs have well-defined forward and backward semantics. We investigate the formal semantics of…

计算机科学中的逻辑 · 计算机科学 2021-12-30 Robin Kaarsgaard , Mathys Rennela

Robust reinforcement learning is essential for deploying reinforcement learning algorithms in real-world scenarios where environmental uncertainty predominates. Traditional robust reinforcement learning often depends on rectangularity…

机器学习 · 计算机科学 2024-06-13 Adil Zouitine , David Bertoin , Pierre Clavier , Matthieu Geist , Emmanuel Rachelson

We study categories for reversible computing, focussing on reversible forms of event structures. Event structures are a well-established model of true concurrency. There exist a number of forms of event structures, including prime event…

计算机科学中的逻辑 · 计算机科学 2017-04-12 Eva Graversen , Iain Phillips , Nobuko Yoshida

Bidiagonal matrices are widespread in numerical linear algebra, not least because of their use in the standard algorithm for computing the singular value decomposition and their appearance as LU factors of tridiagonal matrices. We show that…

数值分析 · 数学 2023-11-14 Nicholas J. Higham

We study strongly graded vertex algebras and their strongly graded modules, which are conformal vertex algebras and their modules with a second, compatible grading by an abelian group satisfying certain grading restriction conditions. We…

量子代数 · 数学 2013-02-25 Jinwei Yang

We present a chance-constrained model predictive control (MPC) framework under Gaussian mixture model (GMM) uncertainty. Specifically, we consider the uncertainty that arises from predicting future behaviors of moving obstacles, which may…

系统与控制 · 电气工程与系统科学 2025-07-21 Kai Ren , Colin Chen , Hyeontae Sung , Heejin Ahn , Ian Mitchell , Maryam Kamgarpour

This paper considers master equations for Markovian kinetic schemes that possess the detailed balance property. Chemical kinetics, as a prime example, often yields large-scale, highly stiff equations. Based on chemical intuitions, Sumiya et…

数值分析 · 数学 2023-12-12 Satoru Iwata , Taihei Oki , Shinsaku Sakaue

In this paper we classified irreducible modules for the loop of derivations of rational quantum torus with associative $\mathbb{C}_q^1\otimes B$ action and anti-associative $\mathbb{C}_q^2\otimes B$ action on the modules.

量子代数 · 数学 2021-12-06 Santanu Tantubay

One of the fundamental research problems in the theory of generalized inverses of matrices is to establish reverse order laws for generalized inverses of matrix products. Under the assumption that $A$, $B$, and $C$ are three nonsingular…

综合数学 · 数学 2019-12-13 Yongge Tian

We initiate the study of computable presentations of real and complex C*-algebras under the program of effective metric structure theory. With the group situation as a model, we develop corresponding notions of recursive presentations and…

逻辑 · 数学 2023-04-17 Alec Fox

We study twisted modules for (weak) quantum vertex algebras and we give a conceptual construction of (weak) quantum vertex algebras and their twisted modules. As an application we construct and classify irreducible twisted modules for a…

量子代数 · 数学 2008-12-18 Haisheng Li , Shaobin Tan , Qing Wang