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Related papers: Probabilities in Toy Regge models with odderons

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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…

High Energy Physics - Phenomenology · Physics 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.…

Numerical Analysis · Mathematics 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…

Quantum Physics · Physics 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…

Nuclear Theory · Physics 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…

Statistical Mechanics · Physics 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…

Physics and Society · Physics 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…

Category Theory · Mathematics 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…

Artificial Intelligence · Computer Science 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…

Machine Learning · Computer Science 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.…

Computation and Language · Computer Science 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…

Neurons and Cognition · Quantitative Biology 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…

High Energy Physics - Theory · Physics 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…

High Energy Physics - Phenomenology · Physics 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…

Statistical Mechanics · Physics 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…

High Energy Physics - Lattice · Physics 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…

Category Theory · Mathematics 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…

Statistical Mechanics · Physics 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…

Applications · Statistics 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…

Optimization and Control · Mathematics 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…

High Energy Physics - Lattice · Physics 2007-05-23 Kurt Langfeld