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A number of papers have examined various aspects of "random random" walks on finite groups; the purpose of this article is to provide a survey of this work and to show, bring together, and discuss some of the arguments and results in this…

Probability · Mathematics 2007-05-23 Martin Hildebrand

Applied to statistical physics models, the random cost algorithm enforces a Random Walk (RW) in energy (or possibly other thermodynamic quantities). The dynamics of this procedure is distinct from fixed weight updates. The probability for a…

Statistical Mechanics · Physics 2009-10-31 Bernd A. Berg , Ulrich H. E. Hansmann

Estimating the density of states of systems with rugged free energy landscapes is a notoriously difficult task of the utmost importance in many areas of physics ranging from spin glasses to biopolymers. Density of states estimation has also…

Statistical Mechanics · Physics 2019-07-31 Lev Barash , Jeffrey Marshall , Martin Weigel , Itay Hen

Reply to a comment by T. Rakovszky, F. Pollmann, and C. W von Keyserlingk [arXiv:2010.07969].

Strongly Correlated Electrons · Physics 2021-06-16 Marko Znidaric

Comment on recent paper by I. Horv\'ath and P. Marko\v{s}, "Super-universality in Anderson localization", Phys. Rev. Lett. 129, 106601 (2022) [arXiv:2110.11266].

Disordered Systems and Neural Networks · Physics 2023-09-27 I. S. Burmistrov

A comment on the Letter by Le Doussal and Wiese, Phys. Rev. Lett. 96, 197202 (2006).

Disordered Systems and Neural Networks · Physics 2009-11-11 Yoshinori Sakamoto , Hisamitsu Mukaida , Chigak Itoi

I reply to a Comment by Q. Wang and W.G. Unruh regarding my paper "Hiding the Cosmological Constant" [Phys. Rev. Lett. 123, 131302].

General Relativity and Quantum Cosmology · Physics 2020-08-26 S. Carlip

We show by general arguments that networks whose density of states contains few highly degenerate eigenvalues result in inefficient performances of continuous-time quantum walks (CTQW) over these networks, while systems whose eigenvalues…

Quantum Physics · Physics 2007-10-19 Oliver Muelken

Comment on paper by Blanchette and Zhang, Phys. Rev. Lett. 102, 144501 (2009).

Fluid Dynamics · Physics 2015-05-18 J. Eggers , S. Courrech du Pont

In this paper, we propose novel state-based algorithms which dynamically control the random access network based on its current state such as channel states of wireless links and backlog states of the queues. After formulating the problem,…

Information Theory · Computer Science 2010-11-24 Amir Mahdy Khodaian , Babak H. Khalaj

A Comment on the Letter by E. Shchukin and W. Vogel, Phys. Rev. Lett. 95, 230502 (2005).

Quantum Physics · Physics 2007-05-23 Adam Miranowicz , Marco Piani

We consider a linear Fermi-Pasta-Ulam-Tsingou lattice with random spatially varying material coefficients. Using the methods of stochastic homogenization we show that solutions with long wave initial data converge in an appropriate sense to…

Analysis of PDEs · Mathematics 2021-04-02 Joshua A. McGinnis , J. Douglas Wright

This work deals with the stationary analysis of two-dimensional partially homogeneous nearest-neighbour random walks. Such type of random walks in the quarter plane are characterized by the fact that the one-step transition probabilities…

Networking and Internet Architecture · Computer Science 2019-07-11 Ioannis Dimitriou

In a recent paper [2] the author introduced and investigated a random walk model similar to a model introduced in [1]. In these models the increment of the random walk depends on the complete past of the process. In this note I will point…

Data Analysis, Statistics and Probability · Physics 2015-03-12 Rüdiger Kürsten

We study a distinguished random walk on affine buildings of type Ar , which was already considered by Cartwright, Saloff-Coste and Woess. In rank r=2, it is the simple random walk and we obtain optimal global bounds for its transition…

Classical Analysis and ODEs · Mathematics 2023-12-05 Jean-Philippe Anker , Bruno Schapira , Bartosz Trojan

A macroscopically constrained Wang-Landau Monte Carlo method was recently proposed to calculate the joint density of states (DOS) for systems with multiple order parameters. Here we demonstrate results for a nearest-neighbor Ising…

Statistical Mechanics · Physics 2017-12-05 Chor-Hoi Chan , Gregory Brown , Per Arne Rikvold

The paper comments on "Quantifying long-term scientific impact". It indicates that there is a mistake of [D. S. Wang , C. Song, A. L. Barabasi, Quantifying long-term scientific impact, Science 342, 127 (2013), arXiv:1306.3293].

Digital Libraries · Computer Science 2014-05-16 Jin-Li Guo , Qi Suo

Distribution of loops in a one-dimensional random walk (RW), or, equivalently, neutral segments in a sequence of positive and negative charges is important for understanding the low energy states of randomly charged polymers. We investigate…

Soft Condensed Matter · Physics 2009-10-31 Shay Wolfling , Yacov Kantor

The integer points (sites) of the real line are marked by the positions of a standard random walk. We say that the set of marked sites is weakly, moderately or strongly sparse depending on whether the jumps of the standard random walk are…

Probability · Mathematics 2019-03-08 Dariusz Buraczewski , Piotr Dyszewski , Alexander Iksanov , Alexander Marynych

A comparison is made of various searching procedures, based upon different entanglement measures or entanglement indicators, for highly entangled multi-qubits states. In particular, our present results are compared with those recently…

Quantum Physics · Physics 2008-03-28 A. Borras , A. R. Plastino , J. Batle , C. Zander , M. Casas , A. Plastino