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In this paper, the weak convergence of additive functionals of processes with locally independent increments and with Markov switching in the scheme of Poisson approximation is proved. For the relative compactness, a method proposed by R.…

Probability · Mathematics 2009-10-20 V. S. Koroliuk , N. Limnios , I. V. Samoilenko

A model to simulate the phenomenon of random lasing is presented. It couples Maxwell's equations with the rate equations of electronic population in a disordered system. Finite difference time domain methods are used to obtain the field…

Disordered Systems and Neural Networks · Physics 2009-10-31 Xunya Jiang , C. M. Soukoulis

We study the robust output regulation of linear boundary control systems by constructing extended systems. The extended systems are established based on solving static differential equations under two new conditions. We first consider the…

Optimization and Control · Mathematics 2021-04-19 Duy Phan , Lassi Paunonen

The most general form of a marginal extended perturbation in a two-dimensional system is deduced from scaling considerations. It includes as particular cases extended perturbations decaying either from a surface, a line or a point for which…

High Energy Physics - Theory · Physics 2009-10-22 L. Turban , B. Berche

This paper addresses the problem of an efficient predictive density estimation for the density $q(\|y-\theta\|^2)$ of $Y$ based on $X \sim p(\|x-\theta\|^2)$ for $y, x, \theta \in \mathbb{R}^d$. The chosen criteria are integrated $L_1$ loss…

Statistics Theory · Mathematics 2022-10-04 Pankaj Bhagwat , Eric Marchand

It is argued that final state enhancements in production reactions at large momentum transfers, such as pp -> K^+ Lambda p, are primarily sensitive to the position of a virtual bound state pole in the Lambda p system rather than the Lambda…

Nuclear Theory · Physics 2017-03-01 G. Faldt , C. Wilkin

The relativistic motion of an arbitrary point of an accelerated rigid rod is discussed for the case when velocity and acceleration are directed along the rod's length. The discussion includes the case of a time-dependent force applied to a…

Classical Physics · Physics 2014-11-18 H. Nikolic

When traversing QCD medium, high $p_\perp$ partons lose energy, which is typically measured by suppression, and also predicted by various energy loss models. A crucial test of different energy loss mechanisms is how the energy loss depends…

Nuclear Theory · Physics 2019-06-26 Magdalena Djordjevic , Dusan Zigic , Marko Djordjevic , Jussi Auvinen

Probability distributions and densities are derived for the excess and deficiency of the intensity or instantaneous energy (quasi-static power) associated with a $p$-dimensional random vector field. Explicit expressions for the exact…

Data Analysis, Statistics and Probability · Physics 2021-08-27 Luk R. Arnaut

Prompt engineering, as an efficient and effective way to leverage Large Language Models (LLM), has drawn a lot of attention from the research community. The existing research primarily emphasizes the importance of adapting prompts to…

Computation and Language · Computer Science 2024-07-08 Yuyan Chen , Zhihao Wen , Ge Fan , Zhengyu Chen , Wei Wu , Dayiheng Liu , Zhixu Li , Bang Liu , Yanghua Xiao

The energy level spacing distribution of a tight-binding hamiltonian is monitored across the mobility edge for a fixed disorder strength. Any mixing of extended and localized levels is avoided in the configurational averages, thus…

Disordered Systems and Neural Networks · Physics 2009-10-30 Fabio Siringo , Giovanni Piccitto

Prompt-based methods have achieved promising results in most few-shot text classification tasks. However, for readability assessment tasks, traditional prompt methods lackcrucial linguistic knowledge, which has already been proven to be…

Computation and Language · Computer Science 2024-04-11 Ziyang Wang , Sanwoo Lee , Hsiu-Yuan Huang , Yunfang Wu

We derive an approximation approach to evolution of the longitudinal structure function, by using a Laplace-transform method. We solve the master equation and derive the longitudinal structure function as a function of the initial condition…

High Energy Physics - Phenomenology · Physics 2014-02-05 G. R. Boroun

The system of equations for parametric sub-resonant growth of the amplitude of oscillations was obtained. The time of turning point from the growing of the amplitude to the bounded oscillations in the slow variable was found. The comparison…

General Mathematics · Mathematics 2022-06-22 P. Y. Astafyeva , O. K. Kiselev

We show that defect modes in infinite systems of resonators have corresponding modes in finite systems which converge as the size of the system increases. We study the generalized capacitance matrix as a model for three-dimensional coupled…

Mathematical Physics · Physics 2023-08-16 Habib Ammari , Bryn Davies , Erik Orvehed Hiltunen

We consider Adaptively Restrained Langevin dynamics, in which the kinetic energy function vanishes for small velocities. Properly parameterized, this dynamics makes it possible to reduce the computational complexity of updating…

Statistical Mechanics · Physics 2017-03-28 Zofia Trstanova , Stephane Redon

We establish a connection between dependence structures and subclasses of distortion riskmetrics under which the latter are additive. A new notion of positive dependence, called partial comonotonicity, is developed, which nests the existing…

Risk Management · Quantitative Finance 2026-03-16 Muqiao Huang

We study an expansion method for high-dimensional parabolic PDEs which constructs accurate approximate solutions by decomposition into solutions to lower-dimensional PDEs, and which is particularly effective if there are a low number of…

Analysis of PDEs · Mathematics 2016-11-08 Christoph Reisinger , Rasmus Wissmann

Prompt tuning is a promising method to fine-tune a pre-trained language model without retraining its large-scale parameters. Instead, it attaches a soft prompt to the input text, whereby downstream tasks can be well adapted by merely…

Computation and Language · Computer Science 2024-12-12 Pengxiang Lan , Enneng Yang , Yuting Liu , Guibing Guo , Jianzhe Zhao , Xingwei Wang

In this paper, we consider linear elliptic systems from composite materials where the coefficients depend on the shape and might have the discontinuity between the subregions. We derive a function which is related to the gradient of the…

Analysis of PDEs · Mathematics 2022-06-17 Youchan Kim , Pilsoo Shin