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This paper has been withdrawn by the authors, due to an error in the proof of Lemma 3.1.

Mathematical Physics · Physics 2007-05-23 Michael Aizenman , Alexander Elgart , Jeffrey H. Schenker

With regard to the recently published article, ``Y.-Q. Wang, et al., Physical mechanism of equiprobable exclusion network with heterogeneous interactions in phase transitions: Analytical analyses of steady state evolving from initial state,…

Statistical Mechanics · Physics 2022-01-19 Takahiro Ezaki

This paper studies an interacting particle system of interest in econophysics inspired from a model introduced in the physics literature. The original model consists of the customers of a single bank characterized by their capital, and the…

Probability · Mathematics 2022-01-31 Nicolas Lanchier , Stephanie Reed

We consider a recurrent random walk (RW) in random environment (RE) on a strip. We prove that if the RE is i. i. d. and its distribution is not supported by an algebraic subsurface in the space of parameters defining the RE then the RW…

Probability · Mathematics 2009-11-13 Erwin Bolthausen , Ilya Goldsheid

We derive the fluctuation theorem for a stochastic and periodically driven system coupled to two reservoirs with the aid of a master equation. We write down the cumulant generating functions for both the current and entropy production in…

Statistical Mechanics · Physics 2020-11-26 Kazutaka Takahashi , Yuki Hino , Keisuke Fujii , Hisao Hayakawa

The problem of inverse statistics (statistics of distances for which the signal fluctuations are larger than a certain threshold) in differentiable signals with power law spectrum, $E(k) \sim k^{-\alpha}$, $3 \le \alpha < 5$, is discussed.…

Chaotic Dynamics · Physics 2009-11-07 L. Biferale , M. Cencini , A. Lanotte , D. Vergni , A. Vulpiani

Jailbreak transferability is the surprising phenomenon when an adversarial attack compromising one model also elicits harmful responses from other models. Despite widespread demonstrations, there is little consensus on why transfer is…

Machine Learning · Computer Science 2025-10-30 Rico Angell , Jannik Brinkmann , He He

Gorman and Bedrick (2019) argued for using random splits rather than standard splits in NLP experiments. We argue that random splits, like standard splits, lead to overly optimistic performance estimates. We can also split data in biased or…

Computation and Language · Computer Science 2021-04-27 Anders Søgaard , Sebastian Ebert , Jasmijn Bastings , Katja Filippova

We study a random walk on the Lie algebra $\mathfrak{sl}_2(\mathbf{F}_p)$ where new elements are produced by randomly applying adjoint operators of two generators. Focusing on the generic case where the generators are selected at random, we…

Rings and Algebras · Mathematics 2025-12-12 Urban Jezernik , Matevž Miščič

The paper that is commented by Touchette contains a computational study which opens the door to a desirable generalization of the standard large deviation theory (applicable to a set of $N$ nearly independent random variables) to systems…

Statistical Mechanics · Physics 2015-06-12 Guiomar Ruiz , Constantino Tsallis

Proof-of-Stake consensus protocols give rise to complex modeling challenges. We analyze the recently-updated Tezos Proof-of-Stake protocol and demonstrate that, under certain conditions, rational participants are incentivized to behave…

Cryptography and Security · Computer Science 2020-04-09 Michael Neuder , Daniel J. Moroz , Rithvik Rao , David C. Parkes

This paper has been withdrawn due to a critical error discovered in Theorem 4.21. Anyone with a historical or pragamatic interest in prior "negative results", however - e.g., failed proof attempts relating to the (in)consistency of ZF or…

Logic · Mathematics 2007-05-23 Bryan Ford

Recent work presented at USENIX Security 2025 (SEC'25) claims that occupancy-based attacks can recover AES keys from the MIRAGE randomized cache. In this paper, we examine these claims and find that they arise from a modeling flaw in the…

Cryptography and Security · Computer Science 2025-09-03 Chris Cao , Gururaj Saileshwar

We will prove that the generalized Lie algebroid is a distinguished example by Lie algebroid. The generality of it with respect to the Lie algebroid is similar with the generality of the pull-back vector bundle with respect to the vector…

Differential Geometry · Mathematics 2018-08-21 Constantin M. Arcus , Esmaeil Peyghan , Esa Sharahi

In the multiarmed bandit problem a gambler chooses an arm of a slot machine to pull considering a tradeoff between exploration and exploitation. We study the stochastic bandit problem where each arm has a reward distribution supported in a…

Statistics Theory · Mathematics 2013-03-29 Junya Honda , Akimichi Takemura

Exchangeability is a central notion in statistics and probability theory. The assumption that an infinite sequence of data points is exchangeable is at the core of Bayesian statistics. However, finite exchangeability as a statistical…

Artificial Intelligence · Computer Science 2014-04-24 Mathias Niepert , Guy Van den Broeck

In our model, private actors with interbank cash flows similar to, but nore general than (Carmona, Fouque, Sun, 2013) borrow from the outside economy at a certain interest rate, controlled by the central bank, and invest in risky assets.…

Risk Management · Quantitative Finance 2018-10-09 Aditya Maheshwari , Andrey Sarantsev

In this paper, we consider an expanding construction of a distributed control system, which is obtained by adding a new subsystem one after the other, until all $n$ subsystems, where $n \ge 2$, are included in the distributed control…

Optimization and Control · Mathematics 2014-09-30 Getachew K. Befekadu , Panos J. Antsaklis

If the step distribution in a renewal process has finite mean and regularly varying tail with index -{\alpha}, 1<{\alpha}<2, the first two terms in the asymptotic expansion of the renewal function have been known for many years. Here we…

Probability · Mathematics 2019-09-26 Ron Doney

This paper proposes an alternative to the classical price-adjustment mechanism (called "t\^{a}tonnement" after Walras) that is second-order in time. The proposed mechanism, an analogue to the damped harmonic oscillator, provides a dynamic…

General Finance · Quantitative Finance 2011-08-25 Eric Kemp-Benedict