Concept

Minkowski–Bouligand dimension

Related publications (66)

Multi-parametric Evaluation of Sit-to-Stand and Stand-to-Sit Transitions in Elderly People

Kamiar Aminian, Anisoara Ionescu, Raluca Lidia Ganea

The aim of this study was to extract multi-parametric measures characterizing different features of sit-to-stand (Si-St) and stand-to-sit (St-Si) transitions in older persons, using a single inertial sensor attached to the chest. Investigated parameters we ...

2011

Altered branching patterns of Purkinje cells in mouse model for cortical development disorder

Giorgio Margaritondo

Disrupted cortical cytoarchitecture in cerebellum is a typical pathology in reeler. Particularly interesting are structural problems at the cellular level: dendritic morphology has important functional implication in signal processing. Here we describe a c ...

2011

A New Method to Explore Conformal Field Theories in Any Dimension

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The thesis represents an investigation into Conformal Field Theories (CFT's) in arbitrary dimensions. We propose an innovative method to extract informations about CFT's in a quantitative way. Studying the crossing symmetry of the four point function of sc ...

EPFL2011

An X-ray computed tomography-based index to characterize the quality of cataclastic carbonate rock samples

Aurèle Parriaux, Pascal Turberg, Reto Meuli, Vincent Labiouse, Pierre Guillaume Christe

X-ray computed tomography (XRCT) can reconstruct, in a nondestructive way and in three-dimension, the distribution of densities within opaque materials. Consequently, it provides an effective possibility to characterize the inner content of rock core sampl ...

2011

Criteria for hitting probabilities with applications to systems of stochastic wave equations

Robert Dalang

We develop several results on hitting probabilities of random fields which highlight the role of the dimension of the parameter space. This yields upper and lower bounds in terms of Hausdorff measure and Bessel-Riesz capacity, respectively. We apply these ...

2010

On the spectral estimates for Schrödinger type operators. The case of small local dimension

The behavior of the discrete spectrum of the Schr"odinger operator

-\D - V

, in quite a general setting, up to a large extent is determined by the behavior of the corresponding heat kernel

P(t;x,y)

t\to 0

and

t\to\infty

. If this behavior is powe ...

2010

Flocculation by Cationic Polyelectrolytes: Relating Efficiency with Polyelectrolyte Characteristics

Jutta Christine Wandrey, David Hunkeler

A series of acrylamide/dimethylaminoethylacrylate methyl chloride copolymers (AM-co-DMAEA) was evaluated as flocculants for model Precipitated Calcium Carbonate (FCC) in distilled water. These cationic polyelectrolytes (PEL) differed by their AM/DMAEA rati ...

Wiley-Blackwell2010

Digital holography for second harmonic microscopy: application to 3D-tracking of nanoparticles

Christian Depeursinge, Etienne Shaffer

Retrieval of the amplitude and phase of electromagnetic waves made digital holographic microscopy (DHM) capable of revealing morphological details at ultrahigh resolution in the order of a few nanometers only and precisely measuring the refractive index ac ...

SPIE2010

Scaling properties of DNA knots studied by atomic force microscopy

Erika Ercolini

The main subject of the present thesis is the experimental study of the scaling properties of DNA knots of different complexities by tapping mode atomic force microscopy (AFM) in air. Homo- or heterogeneous mixture of DNA knot types were deposited onto mic ...

EPFL2008

Modeling turbulent flow over fractal trees with renormalized numerical simulation

Marc Parlange, Charles Vivant Ignacio Meneveau

High-Reynolds number flow over tree-like fractals is considered, with emphasis on the drag forces produced. Fractal objects display large scale-disparity and complexity while being amenable to a simple and standardized description. Hence, they offer an ele ...

2007

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On the spectral estimates for Schrödinger type operators. The case of small local dimension

The behavior of the discrete spectrum of the Schr"odinger operator

-\D - V

, in quite a general setting, up to a large extent is determined by the behavior of the corresponding heat kernel

P(t;x,y)

t\to 0

and

t\to\infty

. If this behavior is powe ...

2010