Concept

Topological vector space

Related publications (172)

Polarization-induced distortion in stimulated Brillouin scattering slow-light systems

The vector analysis of stimulated Brillouin scattering amplification in birefringent fibers is extended to include signal pulses. The analysis finds that the different slow-light delays experienced by the states of polarization corresponding to maximum and ...

Optical Society of America2009

Analysis and Design of Biological Circuits and Systems

Systems and synthetic biology are two emerging disciplines that hold promise to revolutionize our understanding of biological systems and to herald a new era of programmable hardware, respectively. Mathematical abstraction and today's abundance of quantita ...

IEEE2009

Stability and Delay Bounds in Heterogeneous Networks of Aggregate Schedulers

Jean-Yves Le Boudec, Gianluca Rizzo

Aggregate scheduling is one of the most promising solutions to the issue of scalability in networks, like DiffServ networks and high speed switches, where hard QoS guarantees are required. For networks of FIFO aggregate schedulers, the main existing suffic ...

2008

Measurement-Based Drift Correction in Spectroscopic Calibration Models

Dominique Bonvin, Michael Amrhein, Pamandeep Singh Gujral

Correct prediction of analyte concentrations from a new spectrum without drift is possible provided the spectrum lies in the row space spanned by the calibration spectra (space-inclusion condition). However, this condition may be violated as on-line spectr ...

cemagref Languedoc Roussillon2008

Parity-regular Steinhaus graphs

Maxime Augier

Steinhaus graphs on n vertices are certain simple graphs in bijective correspondence with binary {0,1}-sequences of length n-1. A conjecture of Dymacek in 1979 states that the only nontrivial regular Steinhaus graphs are those corresponding to the periodic ...

American Mathematical Society2008

Convexly independent subsets of the Minkowski sum of planar point sets

János Pach, Friedrich Eisenbrand, Thomas Rothvoss

Let P and Q be finite sets of points in the plane. In this note we consider the largest cardinality of a subset of the Minkowski sum S ⊆ P⊕Q which consist of convex independent points. We show that, if P and Q contain at most n points, then |S| = O(n^(4/3) ...

American Mathematical Society2008

The link between the infinite mapping class group of the disk and the braid group on infinitely many strands

Jan Brunner

φ For all finite n ∈ N, there is a well-known isomorphism between the standard braid group Bn and the mapping class group π0Hn. This isomorphism has been exhaustively studied in literature, and generalized in many ways. For some basic topological reason, t ...

EPFL2008

Thermodynamic Study of the Reactivity of the Two Topological Point Defects Present in Mixed Self-Assembled Monolayers on Gold Nanoparticles

Francesco Stellacci, Randy Patrick Carney

When a mixed self-assembled monolayer forms on the curved surface of a gold nanoparticle two opposed point defects must form for topological reasons. Here we present a thermodynamic study proving that these defects are more reactive than other sites on the ...

2008

Stability and Delay Bounds in Heterogeneous Networks of Aggregate Schedulers

Jean-Yves Le Boudec, Gianluca Rizzo

2007

Monotone and Cash-Invariant Convex Functions and Hulls

Damir Filipovic

This paper provides some useful results for convex risk measures. In fact, we consider convex functions on a locally convex vector space E which are monotone with respect to the preference relation implied by some convex cone and invariant with respect to ...

2007

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