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We present a new random walk for uniformly sampling high-dimensional convex bodies. It achieves state-of-the-art runtime complexity with stronger guarantees on the output than previously known, namely in R\'enyi divergence (which implies…

Data Structures and Algorithms · Computer Science 2026-03-23 Yunbum Kook , Santosh S. Vempala , Matthew S. Zhang

Combining the QCD dipole model with the Good and Walker picture, we formulate diffractive dissociation of a photon of virtuality Q^2 off a hadronic target, in the kinematical regime in which Q is close to the saturation scale and much…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. Munier , A. Shoshi

We study jet final states in diffractive deep-inelastic scattering. We present the QCD factorization formula in terms of diffractive parton distributions and discuss its implementation in NLO Monte Carlo generators. We compute NLO…

High Energy Physics - Phenomenology · Physics 2009-11-07 F. Hautmann

We review QCD based descriptions of diffractive deep inelastic scattering emphasising the role of models with parton saturation. These models provide natural explanation of such experimentally observed facts as the constant ratio of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Golec-Biernat

The diffraction dissociation of virtual photons is considered in the framework of conventional Regge theory. It is shown that the recent HERA data on large rapidity gap events can be successfully described in terms of the Pomeron structure…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Capella , A. Kaidalov , C. Merino , J. Tran Thanh Van

The three-dimensional structure of nucleons (protons and neutrons) is embedded in so-called generalized parton distributions, which are accessible from deeply virtual Compton scattering. In this process, a high energy electron is scattered…

Random walks describe diffusion processes, where movement at every time step is restricted to only the neighbouring locations. We construct a quantum random walk algorithm, based on discretisation of the Dirac evolution operator inspired by…

Quantum Physics · Physics 2015-03-13 Apoorva Patel , Md. Aminoor Rahaman

Using the NMC and E665 nuclear structure function ratios $F_2^A/F_2^D$ and $F_2^A/F_2^{C}$ from deep inelastic lepton-nucleus collisions, and the E772 Drell--Yan dilepton cross sections from proton-nucleus collisions, and incorporating…

High Energy Physics - Phenomenology · Physics 2014-11-17 K. J. Eskola , V. J. Kolhinen , P. V. Ruuskanen

Characteristics of hadron production in diffractive deep-inelastic positron-proton scattering are studied using data collected in 1994 by the H1 experiment at HERA. The following distributions are measured in the centre-of-mass frame of the…

High Energy Physics - Experiment · Physics 2008-11-26 C. Adloff

We discuss several examples of how the transverse spatial distribution of partons in the nucleon, as well as multiparton correlations, can be probed by observing hard processes (dijets) in high-energy pp (pbar p) and pA (dA) collisions.…

High Energy Physics - Phenomenology · Physics 2014-11-18 L. Frankfurt , M. Strikman , C. Weiss

A model for diffusion on a cubic lattice with a random distribution of traps is developed. The traps are redistributed at certain time intervals. Such models are useful for describing systems showing dynamic disorder, such as ion-conducting…

Condensed Matter · Physics 2009-10-31 S. Mandal , R. Dasgupta

The $N$-particle branching random walk is a discrete time branching particle system with selection. We have $N$ particles located on the real line at all times. At every time step each particle is replaced by two offspring, and each…

Probability · Mathematics 2021-02-25 Sarah Penington , Matthew I. Roberts , Zsófia Talyigás

Generalised parton distributions are instrumental to study both the three-dimensional structure and the energy-momentum tensor of the nucleon, and motivate numerous experimental programmes involving hard exclusive measurements. Based on a…

High Energy Physics - Phenomenology · Physics 2021-06-30 V. Bertone , H. Dutrieux , C. Mezrag , H. Moutarde , P. Sznajder

We consider the discrete time unitary dynamics given by a quantum walk on the lattice $\Z^d$ performed by a quantum particle with internal degree of freedom, called coin state, according to the following iterated rule: a unitary update of…

Mathematical Physics · Physics 2015-05-20 Alain Joye

Diffusion models have become a central tool in deep generative modeling, but standard formulations rely on a single network and a single diffusion schedule to transform a simple prior, typically a standard normal distribution, into the…

Machine Learning · Statistics 2025-12-29 Takuro Kutsuna

Within the limits of the large-N_c approximation (with N_c the number of colors), we establish the high-energy behaviour of the diffractive and inclusive cross-sections for deep inelastic scattering at fixed impact parameter. We demonstrate…

High Energy Physics - Phenomenology · Physics 2008-11-26 Y. Hatta , E. Iancu , C. Marquet , G. Soyez , D. N. Triantafyllopoulos

The standard diffusive spreading, characterized by a Gaussian distribution with mean square displacement that grows linearly with time, can break down, for instance, under the presence of correlations and heterogeneity. In this work, we…

Statistical Mechanics · Physics 2021-10-27 M. A. F. dos Santos , E. H. Colombo , C. Anteneodo

Deep generative models learn the data distribution, which is concentrated on a low-dimensional manifold. The geometric analysis of distribution transformation provides a better understanding of data structure and enables a variety of…

Computer Vision and Pattern Recognition · Computer Science 2024-06-28 Junhao Chen , Manyi Li , Zherong Pan , Xifeng Gao , Changhe Tu

We consider diffusion processes with a spatially varying diffusivity giving rise to anomalous diffusion. Such heterogeneous diffusion processes are analysed for the cases of exponential, power-law, and logarithmic dependencies of the…

Statistical Mechanics · Physics 2017-09-13 Andrey G. Cherstvy , Ralf Metzler

We review the evolution of the studies of diffractive processes in the strong interaction over the last 60 years. First, we briefly outline the early developments of the theory based on analyticity and unitarity of the S-matrix, including…

High Energy Physics - Phenomenology · Physics 2017-08-23 Leonid Frankfurt , Mark Strikman