Publications related to Benoit Mandelbrot

How roughness emerges on natural and engineered surfaces

Jean-François Molinari, Ramin Aghababaei

Roughness, defined as unevenness of material surfaces, plays an important role in determining how engineering components or natural objects interact with other bodies and their environment. The emergence of fractal roughness on natural and engineered surfa ...

SPRINGER HEIDELBERG2023

Conductive-Type Behaviors In The Dynamics Of Complex Systems Through Scale Relativity Theory

Maria-Alexandra Paun

Conductive-type dynamics in complex systems in the framework of Scale Relativity Theory are analyzed. Using the Madeling scenario in the description o f complex system dynamics through continuous and nondifferentiable curves (fractal/multifractal curves), ...

UNIV POLITEHNICA BUCHAREST, SCI BULL2022

Self-Structuring Of Cellular And Channel Type In Complex System Dynamics In The Framework Of Scale Relativity Theory

Maria-Alexandra Paun

In the framework of Scale Relativity Theory, by analyzing dynamics of complex system structural units based on multifractal curves, both Schrodinger and Madelung approaches are functional and complementary. The Madelung selected approach involve synchronou ...

UNIV POLITEHNICA BUCHAREST, SCI BULL2022

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

5-Fluorouracil Release from Chitosan-Based Matrix. Experimental and Theoretical Aspects

Maria-Alexandra Paun

A series of four drug release formulations based on 5-fluorouracil encapsulated into a chitosan-based matrix were prepared by in situ hydrogelation with 3,7-dimethyl-2,6-octadienal. The formulations were investigated from structural and morphological aspec ...

2020

Released Diclofenac Sodium Salt From Chitosan Embedding In A Hydrogel Matrix. A Theoretical And Experimental Study

Maria-Alexandra Paun

Two formulations embedding diclofenac sodium salt into a chitosan hydrogel matrix with different crosslinking degree were prepared by in situ hydrogelation. The formulations were investigated by polarized light microscopy and scanning electron microscopy, ...

UNIV POLITEHNICA BUCHAREST, SCI BULL2020

Experimental And Theoretical Insight Into Formulations Based On Poly(Vinyl Alcohol Boric Acid) And Diclofenac Sodium Salt

Maria-Alexandra Paun

A series of three formulations were prepared in view of experimental and theoretical investigation of their drug release potential. The morphology of the film formulations, in terms of distribution of drug into the polymeric matrix and the nature of the dr ...

UNIV POLITEHNICA BUCHAREST, SCI BULL2020

Path properties of the solution to the stochastic heat equation with Levy noise

Robert Dalang, Carsten Hao Ye Chong, Thomas Marie Jean-Baptiste Humeau

We consider sample path properties of the solution to the stochastic heat equation, in Rd or bounded domains of Rd, driven by a Levy space-time white noise. When viewed as a stochastic process in time with values in an infinite-dimensional space, the solut ...

SPRINGER2019

Apollonian packings as physical fractals

Francesco Varrato, Giuseppe Foffi

The Apollonian packings (APs) of spheres are fractals that result from a space-filling procedure. We discuss the finite size effects for finite intervals s is an element of [s(min), s(max)] between the largest and the smallest sizes of the filling spheres. ...

Taylor & Francis2011

Apollonian packings as physical fractals

Francesco Varrato, Giuseppe Foffi

The Apollonian packings (APs) of spheres are fractals that result from a space-filling procedure. We discuss the finite size effects for finite intervals s is an element of [s(min), s(max)] between the largest and the smallest sizes of the filling spheres. ...

Taylor & Francis2011

Fibertract segmentation in position orientation space from high angular resolution diffusion MRI

Jean-Philippe Thiran, Reto Meuli, Patric Hagmann, Lisa Jonasson, Van Jay Wedeen, Thomas Deffieux

In diffusion MRI, standard approaches for fibertract identification are based on algorithms that generate lines of coherent diffusion, currently known as tractography. A tract is then identified as a set of such lines selected on some criteria. In the pres ...

2006