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Generalized dispersion relations are discussed for unphysical particles, e.g. confined degrees of freedom that are not present in the physical spectra but can give rise to observable bound states. While in general the propagator of the…

高能物理 - 唯象学 · 物理学 2017-03-27 Fabio Siringo

We prove a general theorem providing smoothed analysis estimates for conic condition numbers of problems of numerical analysis. Our probability estimates depend only on geometric invariants of the corresponding sets of ill-posed inputs.…

数值分析 · 数学 2015-06-26 Peter Buergisser , Felipe Cucker , Martin Lotz

Three extensions and reinterpretations of nonclassical probabilities are reviewed. (i) We propose to generalize the probability axiom of quantum mechanics to self-adjoint positive operators of trace one. Furthermore, we discuss the…

量子物理 · 物理学 2007-05-23 Karl Svozil

We present a single-freeze-out model with thermal and geometric parameters dependent on the position within the fireball and use it to describe the rapidity and transverse-momentum spectra of pions, kaons, protons, and antiprotons measured…

核理论 · 物理学 2008-11-26 Wojciech Broniowski , Barlomiej Biedron

Problems involving the capture of a moving entity by a trap occur in a variety of physical situations, the moving entity being an electron, an excitation, an atom, a molecule, a biological object such as a receptor cluster, a cell, or even…

统计力学 · 物理学 2015-06-17 K. Spendier , S. Sugaya , V. M. Kenkre

In this work, we analyse the relationship between heterogeneity and cooperation. Previous investigations suggest that this relation is nontrivial, as some authors found that heterogeneity sustains cooperation, while others obtained…

物理与社会 · 物理学 2020-06-25 Marco A. Amaral , Marco A. Javarone

We show from a categorical point of view that probability measures on certain measurable or topological spaces arise canonically as the extension of probability distributions on countable sets. We do this by constructing probability monads…

范畴论 · 数学 2022-06-23 Ruben Van Belle

This paper presents an approach for developing the explanation capabilities of rule-based expert systems managing imprecise and uncertain knowledge. The treatment of uncertainty takes place in the framework of possibility theory where the…

人工智能 · 计算机科学 2013-04-08 Henri Farrency , Henri Prade

We consider the task of forecasting an infinite sequence of future observations based on some number of past observations, where the probability measure generating the observations is "suspected" to satisfy one or more of a set of…

机器学习 · 计算机科学 2019-05-17 Vanessa Kosoy

Recent work suggests that large language models may implicitly learn world models. How should we assess this possibility? We formalize this question for the case where the underlying reality is governed by a deterministic finite automaton.…

计算与语言 · 计算机科学 2024-11-12 Keyon Vafa , Justin Y. Chen , Ashesh Rambachan , Jon Kleinberg , Sendhil Mullainathan

Using results from neurobiology on perceptual decision making and value-based decision making, the problem of decision making between lotteries is reformulated in an abstract space where uncertain prospects are mapped to corresponding…

神经元与认知 · 定量生物学 2020-01-03 Adnan Rebei

We compare a relativistic and a nonrelativistic version of Ostrogradsky's method for higher-time derivative theories extended to scalar field theories and consider as an alternative a multi-field variant. We apply the schemes to space-time…

高能物理 - 理论 · 物理学 2024-05-07 Andreas Fring , Takano Taira , Bethan Turner

In the present article the thermodynamic results of the Lee-Wick partner infested universe have been applied in a toy model where there is one Lee-Wick partner to each of the standard model particle and more over the longitudinal degrees of…

高能物理 - 唯象学 · 物理学 2012-07-11 Kaushik Bhattacharya , Suratna Das

Through extended consideration of two wide classes of case studies -- dilute gases and linear systems -- I explore the ways in which assumptions of probability and irreversibility occur in contemporary statistical mechanics, where the…

统计力学 · 物理学 2021-04-23 David Wallace

It is an old idea to replace averages of observables with respect to a complex weight by expectation values with respect to a genuine probability measure on complexified space. This is precisely what one would like to get from complex…

高能物理 - 格点 · 物理学 2018-04-18 Błażej Ruba , Adam Wyrzykowski

The basic concepts of category theory are developed and examples of them are presented to illustrate them using measurement theory and probability theory tools. Motivated by Perrone's workarXiv:1912.10642 where notes on category theory are…

范畴论 · 数学 2021-12-01 Gabriel Granda , Miguel Flores

Cooperative Parrondo's games on a regular two dimensional lattice are analyzed based on the computer simulations and on the discrete-time Markov chain model with exact transition probabilities. The paradox appears in the vicinity of the…

统计力学 · 物理学 2009-11-11 Zoran Mihailovic , Milan Rajkovic

Communicating forecast uncertainty effectively is a persistent challenge in predictive endeavours such as weather forecasting. This paper explores the application of possibility theory as a complementary approach to traditional probability…

应用统计 · 统计学 2024-10-30 John R. Lawson

In game theory, players have continuous expected payoff functions and can use fixed point theorems to locate equilibria. This optimization method requires that players adopt a particular type of probability measure space. Here, we introduce…

最优化与控制 · 数学 2007-05-23 Michael J. Gagen , Kae Nemoto

The standard Faddeev Popov gauge fixing procedure is put on solid grounds by taking into account a topological factor which corrects for the number of Gribov copies within the first Gribov horizon. Zwanziger's stochastic approach to gauge…

高能物理 - 格点 · 物理学 2007-05-23 Kurt Langfeld