Concept

Function of several complex variables

Related publications (107)

PT-Symmetric Periodic Optical Potentials

In quantum theory, any Hamiltonian describing a physical system is mathematically represented by a self-adjoint linear operator to ensure the reality of the associated observables. In an attempt to extend quantum mechanics into the complex domain, it was r ...

Springer US2011

Self-Similar Vector Fields

Pouya Dehghani Tafti

We propose statistically self-similar and rotation-invariant models for vector fields, study some of the more significant properties of these models, and suggest algorithms and methods for reconstructing vector fields from numerical observations, using the ...

EPFL2011

RIM Determines Ca²+ Channel Density and Vesicle Docking at the Presynaptic Active Zone

Yunyun Han

Fast neurotransmitter release is essential for neuron-neuron communication and is initiated by the opening of voltage-gated Ca2+ channels close to docked vesicles at the presynaptic active zone. The high concentration of Ca2+ channels at the active zone is ...

EPFL2011

MDD propagators with explanation

Radoslaw Szymanek

Multi-valued decision diagrams (MDDs) are a convenient approach to representing many kinds of constraints including table constraints, regular constraints, complex set and multiset constraints, as well as ad-hoc problem specific constraints. This paper int ...

2011

Neutron Reflectivity Study on the Postpolymerization Modification of Poly(2-hydroxyethyl methacrylate) Brushes

Harm-Anton Klok, Juan Pablo Hinestrosa Salazar

Postpolymerization modification reactions are widely employed to prepare functional polymer brushes. Relatively little is known, however, about the distribution of functional groups in such postmodified brushes. Using neutron reflectometry and UV-vis spect ...

American Chemical Society2011

Optimal Staffing Plans at Airports

Michel Bierlaire, Prem Kumar

Minimizing operating costs for maintaining ground personnel at airports is a complex problem due to uneven flight activities, passenger service expectations and staffing inflexibilities due to shift durations. In this work, we develop a method to find opti ...

2010

A Parallel Algorithm for Solving Large Convex Minimax Problems

Utkarsh Upadhyay, Ramnik Arora

We consider unconstrained minimax problem where the objective function is the maximum of a finite number of smooth convex functions. We present an iterative method to compute the optimal solution for the unconstrained convex finite minimax problem. The alg ...

Springer2010

Two-stage column generation

Michel Bierlaire, Matteo Salani, Ilaria Vacca

We introduce a new concept in column generation for handling complex large scale optimization problems, called two-stage column generation, where columns for the compact and extensive formulation are simultaneously generated. The new framework is specifica ...

2010

Separation and Duality in Locally L0-Convex Modules

Damir Filipovic

Motivated by financial applications, we study convex analysis for modules over the ordered ring L0 of random variables. We establish a module analogue of locally convex vector spaces, namely locally L0-convex modules. In this context, we prove hyperplane s ...

2009

An analytical solution for the rotor eddy current losses in a slotless PM motor: the case of current layer excitation

Yves Perriard, Miroslav Markovic, Pierre-Daniel Pfister

We present an analytical solution for the induced eddy currents and the corresponding losses generated in the rotor of a slotless permanent magnet (PM) motor. The field excitation is a current layer placed at the stator interior surface. The solution is ba ...

2009

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