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A version of the second order phase transition theory, in which the Nernst theorem holds automatically, is proposed. The theory is constructed in terms of the order parameter and the (configurational) entropy. It faithfully reproduces the…

Statistical Mechanics · Physics 2015-05-15 Metlov S. Leonid

Fernandez Comment [1] on our pseudo-perturbative shifted-l expansion technique [2,3] is either unfounded or ambiguous.

Mathematical Physics · Physics 2009-11-07 Omar Mustafa

The truly chaotic finite machines introduced by authors in previous research papers are presented here. A state of the art in this discipline, encompassing all previous mathematical investigations, is provided, explaining how finite state…

Cryptography and Security · Computer Science 2017-08-17 Christophe Guyeux , Qianxue Wang , Xiole Fang , Jacques Bahi

We consider new types of perfect shuffles wherein a deck is split in half, one half of the deck is "reversed", and then the cards are interlaced. Flip shuffles are when the reversal comes from flipping the half over so that we also need to…

Combinatorics · Mathematics 2014-12-31 Steve Butler , Persi Diaconis , Ron Graham

We present an extremely simple sorting algorithm. It may look like it is obviously wrong, but we prove that it is in fact correct. We compare it with other simple sorting algorithms, and analyse some of its curious properties.

Data Structures and Algorithms · Computer Science 2021-10-05 Stanley P. Y. Fung

This supplementary information contains detailed derivations, comparison to experiment, and discussion of other miscellaneous issues omitted from the main text.

Populations and Evolution · Quantitative Biology 2009-01-05 C. Scott Wylie , Cheol-Min Ghim , David A. Kessler , Herbert Levine

Temporarly withdrawn. Larger version of this review is currently in preparation.

Superconductivity · Physics 2008-02-03 E. S. Babaev , S. A. Ktitorov

We summarize main results in our paper "The Mobius function and distal flows", and give a direct proof with rate of that the Mobius function is disjoint from Furstenberg's irregular system. This will be published in the Proceedings of the…

Number Theory · Mathematics 2014-06-30 Jianya Liu , Peter Sarnak

This is an investigation of the role of shuffling and concatenating in the theory of graph drawing. A simple syntactic description of these and related operations is proved complete in the context of finite partial orders, as general as…

Logic · Mathematics 2012-11-01 K. Dosen , Z. Petric

This paper is concerned with the stability analysis of continuous-time switched systems with a random switching signal. The switching signal manifests its characteristics with that the dwell time in each subsystem consists of a fixed part…

Systems and Control · Computer Science 2016-11-18 Junlin Xiong , James Lam , Zhan Shu , Xuerong Mao

Bitswap is the data exchange protocol for the content-addressed peer-to-peer overlay network IPFS. During content discovery, Bitswap reveals the interest of a peer in content to all neighbors, enabling the tracking of user interests. In our…

Networking and Internet Architecture · Computer Science 2024-07-18 Manuel Wedler , Erik Daniel , Florian Tschorsch

In this article we give a survey on open problems and conjectures concerning L^2-invariants. We cover the whole portfolio and not only certain aspects as they are considered in the previous more specialized (and within their scope more…

Algebraic Topology · Mathematics 2023-11-30 Dominik Kirstein , Christian Kremer , Wolfgang Lueck

This technical report proves components consistency for the Doubly Stochastic Dirichlet Process with exponential convergence of posterior probability. We also present the fundamental properties for DSDP as well as inference algorithms.…

Information Theory · Computer Science 2016-05-25 Xing Sun , Nelson H. C. Yung , Edmund Y. Lam , Hayden K. -H. So

We consider the problem of inference in shift-share research designs. The choice between existing approaches that allow for unrestricted spatial correlation involves tradeoffs, varying in terms of their validity when there are relatively…

Econometrics · Economics 2022-06-03 Luis Alvarez , Bruno Ferman , Raoni Oliveira

The ``impossibility proof'' on unconditionally secure quantum bit commitment is examined. It is shown that the possibility of juxtaposing quantum and classical randomness has not been properly taken into account. A specific protocol that…

Quantum Physics · Physics 2007-05-23 Horace P. Yuen

On place quelques applications r\'ecentes de la th\'eorie du Chaos en perspective avec la th\'eorie classique de Boltzmann.

chao-dyn · Physics 2007-05-23 G. Gallavotti

We prove the occurrence of a phase transition accompanied by the emergence of cycles of diverging lengths in the random interchange process on the hypercube.

Probability · Mathematics 2016-02-24 Roman Kotecký , Piotr Miłoś , Daniel Ueltschi

We discuss several interesting random network models which exhibit (provable) explosive transitions and their applications.

Disordered Systems and Neural Networks · Physics 2010-02-02 Eric J. Friedman , Joel Nishimura

Practical attacks that exploit speculative execution can leak confidential information via microarchitectural side channels. The recently-demonstrated Spectre attacks leverage speculative loads which circumvent access checks to read…

Cryptography and Security · Computer Science 2018-07-11 Vladimir Kiriansky , Carl Waldspurger

Consider a real-valued branching random walk in the boundary case. Using the techniques developed by A\"id\'ekon and Shi [5], we give two integral tests which describe respectively the lower limits for the minimal position and the upper…

Probability · Mathematics 2015-07-01 Yueyun Hu