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This article is an exposition on some recent theoretical advances in learning latent structured models, with a primary focus on the fundamental roles that optimal transport distances play in the statistical theory. We aim at what may be the…

统计理论 · 数学 2026-01-19 XuanLong Nguyen , Yun Wei

We calculate the diffusion coefficient of an active tracer in a schematic crowded environment, represented as a lattice gas of passive particles with hardcore interactions. Starting from the master equation of the problem, we put forward a…

统计力学 · 物理学 2022-02-02 Pierre Rizkallah , Alessandro Sarracino , Olivier Bénichou , Pierre Illien

In this work we use tempered fractional advection-diffusion equations to model the dispersive transport in disordered materials. A numerical method is derived to approximate the solution of such differential models and we prove that it is…

数值分析 · 数学 2018-11-06 Maria Luísa Morgado , Luís Filipe Morgado

In this work we study a modification of the Monge-Kantorovich problem taking into account path dependence and interaction effects between particles. We prove existence of solutions under mild conditions on the data, and after imposing…

偏微分方程分析 · 数学 2022-04-19 Rene Cabrera

A distribution function approach is applied to describe the dynamics of the laser beam in the Earth atmosphere. Using a formal solution of the kinetic equation for the distribution function, we have developed an iterative scheme for…

量子物理 · 物理学 2016-03-23 Oleksandr O. Chumak , Roman A. Baskov

Motivated by the phenomenon of transport barriers in fusion plasma devices, we write a mathematical model of heat dispersion in a turbulent fluid with a transport barrier, properly idealized; in a scaling limit of the turbulence model with…

概率论 · 数学 2025-10-21 Olga Aryasova , Franco Flandoli , Andrey Pilipenko

The fundamental problem of optical wave propagation is the determination of the field at an observation point, given a disturbance specified over some finite aperture. In both vacuum and inhomogeneous media, the solution of this problem is…

偏微分方程分析 · 数学 2007-05-23 Peng Li

Numerical evidence of non-diffusive transport in three-dimensional, resistive pressure-gradient-driven plasma turbulence is presented. It is shown that the probability density function (pdf) of test particles' radial displacements is…

等离子体物理 · 物理学 2009-11-10 D. del-Castillo-Negrete , B. A. Carreras , V. E. Lynch

We study one-dimensional hardcore lattice gases, with nearest-neighbor interactions, in the presence of an external potential barrier, that moves on the periodic lattice with a constant speed. We investigate how the nature of the…

统计力学 · 物理学 2023-04-14 Deepsikha Das , Punyabrata Pradhan , Sakuntala Chatterjee

Structured light is routinely used in free space optical communication channels, both classical and quantum, where information is encoded in the spatial structure of the mode for increased bandwidth. Unlike polarisation, the spatial…

光学 · 物理学 2025-05-08 Asher Klug , Cade Peters , Andrew Forbes

Long distance imaging is subject to the impact of the turbulent atmosphere. This results into geometric distortions and some blur effect in the observed frames. Despite the existence of several turbulence mitigation algorithms in the…

计算机视觉与模式识别 · 计算机科学 2024-10-31 Nicholas B. Ferrante , Jerome Gilles

The microscopic transport model UrQMD and a micro+macro hybrid model are used to calculate direct photon spectra from U+U-collisions at Elab = 35 AGeV as will be measured by the CBM-collaboration at FAIR. In the hybrid model, the…

核理论 · 物理学 2011-01-04 Bjoern Baeuchle , Marcus Bleicher

Atmospheric turbulence is one of the lead disturbance factors for free-space quantum communication. The quantum states of light in such channels are affected by fluctuating losses characterized by the probability distribution of…

量子物理 · 物理学 2023-10-02 M. Klen , A. A. Semenov

This paper studies a stochastic model that describes the evolution of vehicle densities in a road network. It is consistent with the class of (deterministic) kinematic wave models, which describe traffic flows on the basis of conservation…

概率论 · 数学 2021-02-11 Michel Mandjes , Jaap Storm

The effect of a random phase screen on laser beam wander in a turbulent atmosphere is studied theoretically. The method of photon distribution function is used to describe the photon kinetics of both weak and strong turbulence. By bringing…

量子物理 · 物理学 2009-11-13 G. P. Berman , A. A. Chumak , V. N. Gorshkov

Diffusion processes in networks are increasingly used to model the spread of information and social influence. In several applications in computational sustainability such as the spread of wildlife, infectious diseases and traffic mobility…

社会与信息网络 · 计算机科学 2013-09-27 Akshat Kumar , Daniel Sheldon , Biplav Srivastava

In this paper, we consider nonlinear diffusion processes driven by space-time white noises, which have an interpretation in terms of partial differential equations. For a specific choice of coefficients, they correspond to the Landau…

概率论 · 数学 2007-05-23 Joaquin Fontbona , Helene Guerin , Sylvie Meleard

Transport at microscopic length scales is essential in biological systems and various technologies, including microfluidics. Recent experiments achieved self-organized transport phenomena in microtubule active matter using light to modulate…

软凝聚态物质 · 物理学 2021-08-02 Dominik Schildknecht , Matt Thomson

Atmospheric turbulence distorts visual imagery and is always problematic for information interpretation by both human and machine. Most well-developed approaches to remove atmospheric turbulence distortion are model-based. However, these…

计算机视觉与模式识别 · 计算机科学 2022-05-10 Nantheera Anantrasirichai

We outline a technique called Dual Plane Imaging which should significantly improve images which would otherwise be blurred due to atmospheric turbulence. The technique involves capturing all the spatial, directional and temporal…

天体物理仪器与方法 · 物理学 2015-01-29 Ian Parry , Anna Moore