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In this document, we make a round up of the theory of asymptotic normality of sums of associated random variables, in a coherent approach in view of further contributions for new researchers in the field. (Version 01)

统计方法学 · 统计学 2018-11-20 Gane Samb Lo , Harouna Sangaré , Cheikhna Hamallah Ndiaye

This essay examines how automation has reconfigured mathematical proof and labor, and what might happen in the future. It discusses practical standards of proof, distinguishes between prominent forms of automation in research, provides…

历史与综述 · 数学 2024-06-27 Rodrigo Ochigame

In this work a state transformation is presented that transforms a given state-space system to a normal form related to mechanical systems. The underlying state-space system must meet certain requirements such that a transformation exist.…

系统与控制 · 电气工程与系统科学 2021-09-29 Mayet Johannes , Kammermeier Benjamin

We consider the transformations of quantum states obtainable by a process of the following sort. Combine the given input state with a specially prepared initial state of an auxiliary system. Apply a unitary transformation to the combined…

量子物理 · 物理学 2015-10-13 Andreas Blass , Yuri Gurevich

The broader goal of this research, on the one hand, is to obtain the State of the Art in Automated Test Production (ATP), to find the open questions and related problems and to track the progress of researchers in the field, and on the…

软件工程 · 计算机科学 2024-01-04 José Marcos Gomes , Luis Alberto Vieira Dias

We define new abstract machines for game semantics which correspond to networks of conventional computers, and can be used as an intermediate representation for compilation targeting distributed systems. This is achieved in two steps. First…

计算机科学中的逻辑 · 计算机科学 2013-04-16 Olle Fredriksson , Dan R. Ghica

This text aims to provide a self-contained, comprehensive, and reasonably detailed presentation of the theory of Stallings automata and some of its main applications.

群论 · 数学 2024-09-16 Jordi Delgado , Enric Ventura

We demonstrate the equilibration of isolated macroscopic quantum systems, prepared in non-equilibrium mixed states with significant population of many energy levels, and observed by instruments with a reasonably bound working range compared…

统计力学 · 物理学 2009-11-13 Peter Reimann

We propose the Sparse Abstract Machine (SAM), an abstract machine model for targeting sparse tensor algebra to reconfigurable and fixed-function spatial dataflow accelerators. SAM defines a streaming dataflow abstraction with sparse…

硬件体系结构 · 计算机科学 2023-03-27 Olivia Hsu , Maxwell Strange , Ritvik Sharma , Jaeyeon Won , Kunle Olukotun , Joel Emer , Mark Horowitz , Fredrik Kjolstad

Artificial gauge fields are currently realized in a wide range of physical settings. This includes solid-state devices but also engineered systems, such as photonic crystals, ultracold gases and mechanical setups. It is the aim of this…

介观与纳米尺度物理 · 物理学 2018-12-05 M. Aidelsburger , S. Nascimbene , N. Goldman

This is a position paper written as an introduction to the special volume on quantum algorithms I edited for the journal Mathematical Structures in Computer Science (Volume 20 - Special Issue 06 (Quantum Algorithms), 2010).

量子物理 · 物理学 2011-03-09 Salvador E. Venegas-Andraca

Work in progress concerning alternative formalizations of arithmetic.

逻辑 · 数学 2018-01-04 David M. Cerna

Recently, recurrent models based on linear state space models (SSMs) have shown promising performance in language modeling (LM), competititve with transformers. However, there is little understanding of the in-principle abilities of such…

计算与语言 · 计算机科学 2025-12-15 Yash Sarrof , Yana Veitsman , Michael Hahn

Our objective in this note is to comment briefly on the newly emerging literature on computer-aided proofs in Social Choice Theory. We shall specifically comment on two papers, one by Tang and Lin (2009) and another by Geist and Endriss…

计算机科学中的逻辑 · 计算机科学 2014-03-17 Siddharth Chatterjee , Arunava Sen

In this document, some novel theoretical and computational techniques for constrained approximation of data-driven systems, are presented. The motivation for the development of these techniques came from structure-preserving matrix…

最优化与控制 · 数学 2019-07-22 Fredy Vides

The scope of this work is to provide a self-contained introduction to a selection of basic theoretical aspects in the modeling and control of quantum mechanical systems, as well as a brief survey on the main approaches to control synthesis.…

量子物理 · 物理学 2012-10-29 Claudio Altafini , Francesco Ticozzi

This paper is part of series on self-contained papers in which a large part, if not the full extent, of the asymptotic limit theory of summands of independent random variables is exposed. Each paper of the series may be taken as review…

概率论 · 数学 2021-08-24 Aladji Babacar Niang , Gane Samb Lo , Moumouni Diallo

We survey facts mostly emerging from the seminal results of Alan Cobham obtained in the late sixties and early seventies. We do not attempt to be exhaustive but try instead to give some personal interpretations and some research directions.…

形式语言与自动机理论 · 计算机科学 2012-04-27 Michel Rigo

Hybrid automata are a natural framework for modeling and analyzing systems which exhibit a mixed discrete continuous behaviour. However, the standard operational semantics defined over such models implicitly assume perfect knowledge of the…

系统与控制 · 计算机科学 2013-08-27 Alberto Casagrande , Tommaso Dreossi , Carla Piazza

Solving algebra problems (APs) continues to attract significant research interest as evidenced by the large number of algorithms and theories proposed over the past decade. Despite these important research contributions, however, the body…

计算机科学中的逻辑 · 计算机科学 2024-12-24 Xinguo Yu , Weina Cheng , Chuanzhi Yang , Ting Zhang