Topics in analysis

Related publications (117)

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Contribution to the ergodic theory of piecewise monotone continuous maps

Bastien Faller

This thesis is devoted to the ergodic theory of the piecewise monotone continuous maps of the interval. The coding is a classical approach for these maps. Thanks to the coding, we get a symbolic dynamical system which is almost isomorphic to the initial dy ...

EPFL2008

Recent evolution of the simulation tools for computer aided design of electron-optical systems for powerful gyrotrons

Jean-Philippe Hogge, Trach-Minh Tran

Computer aided design of powerful gyrotrons for electron cyclotron resonance heating and current drive of fusion plasmas requires adequate physical models and efficient software packages for analysis, comparison and optimization of their electron-optical s ...

2007

Inversion de Fourier ponctuelle

Emanuel Enrico Seifert

Let f be an integrable function on RN, a a point in RN and B a complex number. If the mean value of f on the sphere of centre a and radius r tends to B when r tends to 0, we show that the Fourier integral at a of f is summable to B in Cesàro means of order ...

EPFL2007

A tighter Cut-Set bound for the multi-terminal erasure channel without side information

Ramin Khalili

In this paper our recent results in the capacity of single relay erasure channels are used to derive a new and tighter cut-set bound. We initially present a simple and intuitive approach to derive the classical cut-set bound in General Multi-Terminal Erasu ...

2006

Collection of blood and plasma from the mouse

Johan Auwerx

There are many elements in plasma that can act as surrogate markers of the physiological well-being of a mouse, thus making the collection of blood and plasma a general technique with many applications in mouse phenotyping. For example, the presence of cer ...

Wiley2006

On the capacity of large Gaussian relay networks

Martin Vetterli, Michael Christoph Gastpar

The capacity of a particular large Gaussian relay network is determined in the limit as the number of relays tends to infinity. Upper bounds are derived from cut-set arguments, and lower bounds follow from an argument involving uncoded transmission. It is ...

Institute of Electrical and Electronics Engineers2005

A linear algorithm for integer programming in the plane

Friedrich Eisenbrand

We show that a 2-variable integer program, defined by m constraints involving coefficients with at most φ bits, can be solved with O(m+φ) arithmetic operations on rational numbers of size O(φ). © Springer-Verlag 2004. ...

2005

On the Capacity of Large Gaussian Relay Networks

Martin Vetterli, Michael Christoph Gastpar

2005

Matrix Implementations

Spyridon Pongas

The project consists in the study, implementation and comparison of binary matrix multiplication algorithms in C++. We consider Strassen’s algorithm (which is known to perform well over the real numbers) the Four Russians algorithm (which is designed for b ...

2005

Réseaux idéaux sur des corps CM et des corps totalement réels

Ivan Suarez Atias

This thesis deals with the study of ideal lattices over number fields. Let K be a number field, which is assumed to be CM or totally real. An ideal lattice over K is a pair (I,b), where I is a fractional ideal of K and b : I × I → R is a symmetric positive ...

EPFL2005