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We present an overview of concepts and results obtained with statistical models in study of nuclear multifragmentation. Conceptual differences between statistical and dynamical approaches, and selection of experimental observables for…

Nuclear Theory · Physics 2009-11-11 A. S. Botvina , I. N. Mishustin

Composition is an important feature of a specification language, as it enables the design of a complex system in terms of a product of its parts. Decomposition is equally important in order to reason about structural properties of a system.…

Logic in Computer Science · Computer Science 2022-07-05 Benjamin Lion , Farhad Arbab , Carolyn Talcott

In this paper, we propose a multi-kernel classifier learning algorithm to optimize a given nonlinear and nonsmoonth multivariate classifier performance measure. Moreover, to solve the problem of kernel function selection and kernel…

Machine Learning · Computer Science 2015-08-26 Jingbin Wang , Haoxiang Wang , Yihua Zhou , Nancy McDonald

A new multiplicity distribution with multifractal properties which can be used in high-energy physics and quantum optics is proposed. It may be considered as a generalization of the negative-binomial distribution. We find the structure of…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. V. Chekanov , V. I. Kuvshinov

We show that kernel-based quadrature rules for computing integrals can be seen as a special case of random feature expansions for positive definite kernels, for a particular decomposition that always exists for such kernels. We provide a…

Machine Learning · Computer Science 2015-11-10 Francis Bach

In this paper, we establish existence and uniqueness of weak solutions to general time fractional equations and give their probabilistic representations. We then derive sharp two-sided estimates for fundamental solutions of a family of time…

Probability · Mathematics 2017-09-12 Zhen-Qing Chen , Panki Kim , Takashi Kumagai , Jian Wang

In modern scientific research, massive datasets with huge numbers of observations are frequently encountered. To facilitate the computational process, a divide-and-conquer scheme is often used for the analysis of big data. In such a…

Machine Learning · Statistics 2015-05-06 Chen Xu , Yongquan Zhang , Runze Li

A model of the thin shell expanding into a uniform ambient medium is developed. Density perturbations are described using equations with linear and quadratic terms, and the linear and the nonlinear solutions are compared. We follow the time…

Astrophysics · Physics 2007-05-23 R. Wunsch , J. Palous

A model for the fragmentation of a nucleus is developed. Parallels of the description of this process with other areas are shown which include Feynman's theory of the $\lambda$ transition in liquid Helium, Bose condensation, and Markov…

Nuclear Theory · Physics 2008-11-26 K. Chase , A. Mekjian

A summary of measurements of the fragmentation of charm quarks into a specific hadron is given. Measurements performed in photoproduction and deep inelastic scattering in $e^{\pm}p$, $pp$ and $e^+e^-$ collisions are compared, using…

High Energy Physics - Experiment · Physics 2016-07-22 Mykhailo Lisovyi , Andrii Verbytskyi , Oleksandr Zenaiev

We consider estimation of the structural distribution function of the cell probabilities of a multinomial sample in situations where the number of cells is large. We review the performance of the natural estimator, an estimator based on…

Statistics Theory · Mathematics 2007-06-13 B. van Es , C. A. J. Klaassen , R. M. Mnatsakanov

The class of interference fragmentation functions, arising from interference among different hadron production channels, is reconsidered. Their symmetry properties with respect to chiral transformations allow building spin asymmetries where…

High Energy Physics - Phenomenology · Physics 2017-08-23 M. Radici

We report on a segregation scheme for granular binary mixtures, where the segregation is performed by a ratchet mechanism realized by a vertically shaken asymmetric sawtooth-shaped base in a quasi-two-dimensional box. We have studied this…

Statistical Mechanics · Physics 2009-11-07 Zeno Farkas , Ferenc Szalai , Dietrich E. Wolf , Tamas Vicsek

We report an algorithm for the partition of a line segment according to a given ratio $\nu$. At each step the length distribution among sets of the partition follows a binomial distribution. We call $k$-set to the set of elements with the…

Data Analysis, Statistics and Probability · Physics 2008-11-10 A. I. L. de Araújo , R. F. Soares , J. P. de Oliveira , G. Corso

This paper introduces a kernel discrepancy-based framework for rerandomization to enhance the precision of causal inference in controlled experiments. We demonstrate that the kernel discrepancy is the key part of the variance upper bound…

Methodology · Statistics 2025-11-05 Yiou Li , Lulu Kang

This contribution presents a review of our present theoretical as well as experimental knowledge of different fluctuation observables relevant to nuclear multifragmentation. The possible connection between the presence of a fluctuation peak…

Nuclear Experiment · Physics 2009-11-11 F. Gulminelli , M. D'Agostino

Projectile fragmentation of 84Kr in three different energy intervals has been studied. Many aspects of multifragmentation process have been examined in depth. It is observed that multifragmentation is a general low energy phenomenon…

Nuclear Experiment · Physics 2007-05-23 V. Singh , S. K. Tuli , B. Bhattacharjee , S. Sengupta , A. Mukhopadhyay

The multicomponent coagulation equation is a generalisation of the Smoluchowski coagulation equation in which size of a particle is described by a vector. As with the original Smoluchowski equation, the multicomponent coagulation equation…

Mathematical Physics · Physics 2024-01-24 Jochem Hoogendijk , Ivan Kryven , Camillo Schenone

We investigated two-dimensional brittle fragmentation with a flat impact experimentally, focusing on the low impact energy region near the fragmentation-critical point. We found that the universality class of fragmentation transition…

Statistical Mechanics · Physics 2007-05-23 Hiroaki Katsuragi , Daisuke Sugino , Haruo Honjo

Quark distribution and spectator functions are estimated in a diquark spectator model. The representation of the functions in terms of non-local operators together with the rather simple model allow estimates for the yet experimentally…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Jakob , P. J. Mulders , J. Rodrigues