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It has been claimed [1-6] that fractal analysis can be applied to unambiguously characterize works of art such as the drip paintings of Jackson Pollock. This academic issue has become of more general interest following the recent discovery…

Statistical Mechanics · Physics 2009-08-31 Katherine Jones-Smith , Harsh Mathur , Lawrence M. Krauss

The production at the LHC of boosted top quarks (top quarks with a transverse momentum that greatly exceeds their rest mass) is a promising process to search for phenomena beyond the Standard Model. In this contribution several examples are…

High Energy Physics - Experiment · Physics 2014-09-01 Elin Bergeaas Kuutmann

We construct a theory of distributions in the setting of analysis on post-critically finite self-similar fractals, and on fractafolds and products based on such fractals. The results include basic properties of test functions and…

Functional Analysis · Mathematics 2009-03-25 Luke G. Rogers , Robert S. Strichartz

An exact analytical analysis of anomalous diffusion on a fractal mesh is presented. The fractal mesh structure is a direct product of two fractal sets which belong to a main branch of backbones and side branch of fingers. The fractal sets…

Statistical Mechanics · Physics 2017-05-10 Trifce Sandev , Alexander Iomin , Holger Kantz

For spherical and parabolic averages of the Fourier transform of fractal measures, we obtain new upper bounds on rates of decay by an "intermediate dimension" trick.

Classical Analysis and ODEs · Mathematics 2020-07-08 Xiumin Du

Several high energy experiments have been actively pursuing the analyses of semileptonic decays of charm mesons, resulting in numerous new results and publications. In this report, we summarize the recent efforts on the topics of…

High Energy Physics - Experiment · Physics 2008-11-26 Doris Yangsoo Kim

There are three important types of structural properties that remain unchanged under the structural transformation of condensed matter physics and chemistry. They are the properties that remain unchanged under the structural periodic…

Statistical Mechanics · Physics 2020-06-09 John Hongguang Zhang

Labyrinth fractals are dendrites in the unit square. They were introduced and studied in the last decade first in the self-similar case [Cristea & Steinsky (2009,2011)], then in the mixed case [Cristea & Steinsky (2017), Cristea & Leobacher…

Geometric Topology · Mathematics 2018-02-16 Ligia L. Cristea , Gunther Leobacher

The boundaries of central place models proved to be fractal lines, which compose fractal texture of central place networks. A textural fractal can be employed to explain the scale-free property of regional boundaries such as border lines,…

Physics and Society · Physics 2020-03-12 Yanguang Chen

Fracture functions are parton distributions of an initial hadron in the presence of an almost collinear particle observed in the final state. They are important ingredients in QCD factorization for processes where a particle is produced…

High Energy Physics - Phenomenology · Physics 2020-01-08 X. P. Chai , K. B. Chen , J. P. Ma , X. B. Tong

Recent developments in extracting and processing biological and clinical data are allowing quantitative approaches to studying living systems. High-throughput sequencing, expression profiles, proteomics, and electronic health records are…

Quantitative Methods · Quantitative Biology 2010-10-22 Vladimir Trifonov , Laura Pasqualucci , Riccardo Dalla-Favera , Raul Rabadan

There are various notions of dimension in fractal geometry to characterise (random and non-random) subsets of $\mathbb R^d$. In this expository text, we discuss their analogues for infinite subsets of $\mathbb Z^d$ and, more generally, for…

Probability · Mathematics 2019-12-12 Markus Heydenreich

Top tagging is a recent approach to identifying boosted hadronic top quarks. It avoids reconstructing individual top decay products and instead uses a jet algorithm to reconstruct the entire top decay. Quite generally, geometrically large…

High Energy Physics - Phenomenology · Physics 2015-06-03 Tilman Plehn , Michael Spannowsky

We review a lattice strategy how to non-perturbatively determine the coefficients in the HQET expansion of all components of the heavy-light axial and vector currents, including 1/m_h-corrections. We also discuss recent preliminary results…

High Energy Physics - Lattice · Physics 2015-01-15 Michele Della Morte , Jochen Heitger , Hubert Simma , Rainer Sommer

Recent years have seen increased interest to plasmonic enhancement of nonlinear optical effects, yet there remains an uncertainty of what are the limits of this enhancement. We present a simple and physically transparent theory of plasmonic…

Optics · Physics 2017-07-26 Jacob B Khurgin , Greg Sun

We report on our experimental evidence of a substantial geometrical ingredient characterizing the problem of incipient dissipation in high-T_c superconductors(HTS): high-resolution studies of differential resistance-current characteristics…

Superconductivity · Physics 2009-10-31 Mladen Prester

I briefly describe recent developments in the theoretical analysis of non leptonic and semileptonic B decays. For non leptonic transitions, I focus on factorization, from the naive formulation to the most recent achievements. As for…

High Energy Physics - Phenomenology · Physics 2007-05-23 Fulvia De Fazio

Using a generalization of vector calculus for space with non-integer dimension, we consider elastic properties of fractal materials. Fractal materials are described by continuum models with non-integer dimensional space. A generalization of…

Materials Science · Physics 2015-03-12 Vasily E. Tarasov

Urbanization is a phenomenon of concern for planning and public health: projections are difficult because of policy changes and natural events, and indicators are multiple. There are previous studies of development that used fractals, but…

Dynamical Systems · Mathematics 2023-10-31 Junze Yin

We show various criteria to verify if a given nested fractal has a good labeling property, inter alia we present a characterization of GLP for fractals with an odd number of essential fixed points. We show a convenient reduction of area to…

Metric Geometry · Mathematics 2021-11-01 Mikołaj Nieradko , Mariusz Olszewski