Publications associées à Geometric Percolation of Spherically Symmetric Fractal Aggregates

Publications associées (40)

Additive and geometric transversality of fractal sets in the integers

By juxtaposing ideas from fractal geometry and dynamical systems, Furstenberg proposed a series of conjectures in the late 1960's that explore the relationship between digit expansions with respect to multiplicatively independent bases. In this work, we in ...

2024

Fractal Analysis of Four Xerogels Based on TEGylated Phenothiazine and Chitosan

Maria-Alexandra Paun

The present article describes novel massive materials (in the solid phase) based on TEGylated phenothiazine and chitosan that possess great capability to recover mercury ions from constituent aqueous solutions. These were produced by chitosan hydrogelation ...

MDPI2023

Fractal Analysis in Pulmonary CT Images of COVID-19-Infected Patients

Maria-Alexandra Paun

In this paper, we propose to quantitatively compare the loss of human lung health under the influence of the illness with COVID-19, based on the fractal-analysis interpretation of the chest-pulmonary CT pictures, in the case of small datasets, which are us ...

MDPI2023

Well-posedness Issues For the Half-Wave Maps Equation With Hyperbolic And Spherical Targets

Yang Liu

This thesis is a study of the global well-posedness of the Cauchy problems for half-wave maps from the Minkowski space of dimension n+1 to the 2-dimensional sphere and the hyperbolic plane. The work is mainly based on the results from Krieger-Sire 17' in ...

EPFL2023

Measurement of CP asymmetries in D(s)+ -> ηπ+ and D(s)+ -> η'π+ decays

Olivier Schneider, Aurelio Bay, Guido Haefeli, Tatsuya Nakada, Frédéric Blanc, Lesya Shchutska, Elena Graverini, Michel De Cian, Vladimir Macko, Sebastian Schulte, Donal Patrick Hill, Maria Vieites Diaz, Marie Theres Christin Bachmayer, Lino Ferreira Lopes, Matthieu Philippe Luther Marinangeli, Serhii Cholak, Veronica Sølund Kirsebom, Ettore Zaffaroni, Surapat Ek-In, Ana Bárbara Rodrigues Cavalcante, Sara Celani, Renato Quagliani, Carina Trippl, Sonia Amina Bouchiba, Alison Maria Tully, Elisabeth Maria Niel, Maarten Willibrord Uriël Van Dijk

Searches for CP violation in the decays D(s)+ -> ηπ+ and D(s)+ -> η'π+ are performed using pp collision data corresponding to 6 fb(-1) of integrated luminosity collected by the LHCb experiment. The calibration channels D(s)+ -> ηπ+ and D(s)+ -> ϕπ+ are use ...

Springer Nature2023

THE PHASE TRANSITION FOR PLANAR GAUSSIAN PERCOLATION MODELS WITHOUT FKG

Alejandro Rivera

We develop techniques to study the phase transition for planar Gaussian percolation models that are not (necessarily) positively correlated. These models lack the property of positive associations (also known as the 'FKG inequality'), and hence many classi ...

Inst Mathematical Statistics-Ims2023

Even-odd effects in the J1-J2 SU(N) Heisenberg spin chain

Loïc Jean Pierre Herviou

The zero-temperature phase diagram of the J1-J2 SU(N) antiferromagnetic Heisenberg spin chain is investigated by means of complementary field theory and numerical approaches for general N. A fully gapped SU(N) valence bond solid made of N sites is formed a ...

2023

Spectroscopic fingerprints of iron-coordinated cobalt and iron porphyrin layers on graphene

Francesco Armillotta

Achieving control in the design of monolayer 2D functional catalysts represents a significant challenge. If that challenge is surmounted, coordinated single-metal-atom sites can offer tailored electronic configuration, ligation geometries, chemical activit ...

CELL PRESS2023

Diabatic quantum and classical annealing of the Sherrington-Kirkpatrick model

Andreas Martin Läuchli Herzig

Quantum annealing is a contender to solve combinatorial optimization problems based on quantum dynamics. While significant efforts have been undertaken to investigate the quality of the solutions and the required run times, much less attention has been pai ...

AMER PHYSICAL SOC2023

Fractal Analysis and Time Series Application in ZY-4 SEM Micro Fractographies Evaluation

Maria-Alexandra Paun

SEM microfractographies of Zircaloy-4 are studied by fractal analysis and the time-series method. We first develop a computer application that associates the fractal dimension and lacunarity to each SEM micrograph picture, and produce a nonlinear analysis ...

MDPI2022

Wild solutions of the Navier-Stokes equations whose singular sets in time have Hausdorff dimension strictly less than 1

Maria Colombo

We prove non-uniqueness for a class of weak solutions to the Navier???Stokes equations which have bounded kinetic energy, integrable vorticity, and are smooth outside a fractal set of singular times with Hausdorff dimension strictly less than 1. ...

2022

Spatial Series and Fractal Analysis Associated with Fracture Behaviour of UO2 Ceramic Material

Maria-Alexandra Paun

SEM micrographs of the fracture surface for UO2 ceramic materials have been analysed. In this paper, we introduce some algorithms and develop a computer application based on the time-series method. Utilizing the embedding technique of phase space, the attr ...

MDPI2022

A Multifractal Vision of 5-Fluorouracil Release from Chitosan-Based Matrix

Maria-Alexandra Paun

A suite of four drug deliverance formulations grounded on 5-fluorouracil enclosed in a chitosan-founded intercellular substance was produced by 3,7-dimethyl-2,6-octadienal with in situ hydrogelation. The formulations have been examined from a morphological ...

MDPI2022

Fractal analysis in the quantification of medical imaging associated with multiple sclerosis pathology

Maria-Alexandra Paun

Backgrounds: Multiple sclerosis (MS) is an inveterate phlogistic situation characterized by focal and vaguely diffusive de-myelination and neurodegeneration, in the sphere of central nervous system (CNS). The brain's chronic inflammatory reaction includes ...

IMR PRESS2022

Connecting Hodge and Sakaguchi-Kuramoto through a mathematical framework for coupled oscillators on simplicial complexes

Alexis Arnaudon

Phase synchronizations in models of coupled oscillators such as the Kuramoto model have been widely studied with pairwise couplings on arbitrary topologies, showing many unexpected dynamical behaviors. Here, based on a recent formulation the Kuramoto model ...

NATURE PORTFOLIO2022

Critical values in an anisotropic percolation on $\mathbb{Z}^2$

Hao Xue

In this thesis, we consider an anisotropic finite-range bond percolation model on

\mathbb{Z}^2

. On each horizontal layer

\{(x,i):x\in\mathbb{Z}\}

for

i\in\mathbb{Z}

, we have edges

\langle(x,i),(y,i)\rangle

for

1\leq|x-y|\leq N

with $N\in\mathbb{N ...

EPFL2021

Minkowski's Loop Fractal Antenna Dedicated to Sixth Generation (6G) Communication

Maria-Alexandra Paun

In this study, we will discuss the engineering construction of a special sixth generation (6G) antenna, based on the fractal called Minkowski's loop. The antenna has the shape of this known fractal, set at four iterations, to obtain maximum performance. Th ...

MDPI2022

On the 5G Communications: Fractal-Shaped Antennas for PPDR Applications

Maria-Alexandra Paun

In this study, one method of using antennas based on fractals to cover few kinds of public protection and disaster relief (PPDR) communications was presented. Dedicated antenna forms, necessary for antenna design by 5G implementation, were enhanced to suit ...

WILEY-HINDAWI2021

Axial-Bonding-Driven Dimensionality Effect on the Charge-Density Wave in NbSe2

László Forró, Helmuth Berger

2H-NbSe2 is a prototypical charge-density-wave (CDW) system, exhibiting such a symmetry-breaking quantum ground state in its bulk and down to a single-atomic-layer limit. However, how this state depends on dimensionality and what governs the dimensionality ...

AMER CHEMICAL SOC2022

Voss surfaces: A design space for geodesic gridshells

Corentin Jean Dominique Fivet, Nicolas Robin Montagne

The design of envelopes with complex geometries often leads to construction challenges. To overcome these difficulties, resorting to discrete differential geometry proved successful by establishing close links between mesh properties and the existence of g ...

2021