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In this paper, we utilize the framework of Markov processes to attain a more probabilistic perspective on the theory of transfer operators. In doing so, we establish a functional central limit theorem (FLCT) for an $O(N)$ model associated…

动力系统 · 数学 2023-10-23 Eduardo A. Silva , Elis G. Mesquita , Edgar Matias

In this paper we consider a stochastic deployment problem, where a robotic swarm is tasked with the objective of positioning at least one robot at each of a set of pre-assigned targets while meeting a temporal deadline. Travel times and…

机器人学 · 计算机科学 2015-11-24 Yin-Lam Chow , Marco Pavone , Brian M. Sadler , Stefano Carpin

Drifting is an advanced driving technique where the wheeled robot's tire-ground interaction breaks the common non-holonomic pure rolling constraint. This allows high-maneuverability tasks like quick cornering, and steady-state drifting…

机器人学 · 计算机科学 2025-12-01 Feilong Jing , Yang Deng , Boyi Wang , Xudong Zheng , Yifan Sun , Zhang Chen , Bin Liang

We give computational results to study the accuracy of several quasicontinuum methods for two benchmark problems - the stability of a Lomer dislocation pair under shear and the stability of a lattice to plastic slip under tensile loading.…

数值分析 · 数学 2015-03-17 Brian Van Koten , Xingjie Helen Li , Mitchell Luskin , Christoph Ortner

We present the results of a mixed action approach, employing dynamical twisted mass fermions in the sea sector and overlap valence fermions, with the aim of testing the continuum limit scaling behaviour of physical quantities, taking the…

高能物理 - 格点 · 物理学 2010-05-19 Krzysztof Cichy , Gregorio Herdoiza , Karl Jansen

Four Wheeled Mecanum Robot (FWMR) possess the capability to move in any direction on a plane making it a cornerstone system in modern industrial operations. Despite the extreme maneuverability offered by FWMR, the practical implementation…

系统与控制 · 电气工程与系统科学 2024-10-10 Anil B , Mayank Pandey , Sneha Gajbhiye

In [Phys.Rev.Lett.92:162002 (2004), hep-lat/0312025] expressions for the continuous Euclidean time limits of various lattice fermion determinants were derived and compared in order to test universality expectations in Lattice QCD. Here we…

高能物理 - 格点 · 物理学 2009-11-10 David H. Adams

A study of principle is conducted on the inclusion of the fermionic determinant as a Metropolis acceptance correction. It is carried out in the 2-D Schwinger model to prepare later applications to the Schr"odinger functional. A mixed…

高能物理 - 格点 · 物理学 2009-11-10 Francesco Knechtli , Ulli Wolff

Will the strategy of resetting} help a stochastic process to reach its target efficiently, with its environment continually toggling between a strongly favourable and an unfavourable (or weakly favourable) state? A diffusive run-and-tumble…

统计力学 · 物理学 2025-03-04 Hillol kumar Barman , Amitabha Nandi , Dibyendu Das

In this paper, we investigate the inherent physical and mathematical character of higher gradient theories, in which the strain or distortion gradients are considered as the fundamental measures of deformation. Contrary to common belief,…

综合物理 · 物理学 2018-10-17 Ali R. Hadjesfandiari , Gary F. Dargush

This paper synthesizes a series of formal proofs to construct a unified theory on the logical limits of the Symbol Grounding Problem. We distinguish between internal meaning (sense), which formal systems can possess via axioms, and external…

计算机科学中的逻辑 · 计算机科学 2025-12-11 Zhangchi Liu

This work intends to analyze the nonlinear stochastic dynamics of drillstrings in horizontal configuration. For this purpose, it considers a beam theory, with effects of rotatory inertia and shear deformation, which is capable of…

计算工程、金融与科学 · 计算机科学 2021-05-31 Americo Cunha , Christian Soize , Rubens Sampaio

I describe a calculation of B meson mixing at one-loop in staggered chiral perturbation theory, for the complete set of Standard Model and beyond-the-Standard Model operators. The particular lattice representation of the continuum operators…

高能物理 - 格点 · 物理学 2012-11-02 C. Bernard

Because the propagators of flavor-singlet states incorporate disconnected diagrams, they are uniquely sensitive to any differences in the actions governing sea and valence fermions on the lattice. As such, they present an important test of…

高能物理 - 格点 · 物理学 2009-11-11 Eric B. Gregory , Alan Irving , Craig McNeile , Steven Miller , Zbyszek Sroczynski

We use an analytic toy model of turbulent convection to show that most of the scaling regimes are spoiled by logarithmic corrections, in a way consistent with the most accurate experimental measurements available nowadays. This sets a need…

混沌动力学 · 物理学 2011-06-07 B. Dubrulle

Discontinuous dynamical systems with grazing solutions are discussed. The group property, continuation of solutions, continuity and smoothness of motions are thoroughly analyzed. A variational system around a grazing solution which depends…

动力系统 · 数学 2016-04-20 Marat Akhmet , Aysegul Kivilcim

The paper offers general technical facts on the kinematics of a moving continuum involved in research on robotic following of flexible extended objects.

机器人学 · 计算机科学 2020-12-25 A. S. Matveev , V. V. Magerkin

We present a scaling analysis in the 1-flavor Schwinger model with the full overlap and the rooted staggered determinant. In the latter case the chiral and continuum limit of the scalar condensate do not commute, while for overlap fermions…

高能物理 - 格点 · 物理学 2008-11-26 Stephan Dürr , Christian Hoelbling

We are interested in the cycles obtained by slicing at all heights random Boltzmann triangulations with a simple boundary. We establish a functional invariance principle for the lengths of these cycles, appropriately rescaled, as the size…

概率论 · 数学 2018-02-19 Jean Bertoin , Nicolas Curien , Igor Kortchemski

Fluctuation Theorem(FT) has been studied as far from equilibrium theorem, which relates the symmetry of entropy production. To investigate the application of this theorem, especially to biological physics, we consider the FT for tilted…

统计力学 · 物理学 2009-11-10 T. Monnai