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CORR
2010
Springer
115views Education» more  CORR 2010»
15 years 6 months ago
Optimal topological simplification of discrete functions on surfaces
We solve the problem of minimizing the number of critical points among all functions on a surface within a prescribed distance from a given input function. The result is achieved...
Ulrich Bauer, Carsten Lange, Max Wardetzky
CORR
2010
Springer
116views Education» more  CORR 2010»
15 years 6 months ago
Gaussian MIMO Broadcast Channels with Common and Confidential Messages
We study the two-user Gaussian multiple-input multiple-output (MIMO) broadcast channel with common and confidential messages. In this channel, the transmitter sends a common messag...
Ersen Ekrem, Sennur Ulukus
CORR
2010
Springer
122views Education» more  CORR 2010»
15 years 6 months ago
Capacity Region of Gaussian MIMO Broadcast Channels with Common and Confidential Messages
We study the two-user Gaussian multiple-input multiple-output (MIMO) broadcast channel with common and confidential messages. In this channel, the transmitter sends a common messa...
Ersen Ekrem, Sennur Ulukus
CORR
2010
Springer
129views Education» more  CORR 2010»
15 years 6 months ago
The complexity of positive first-order logic without equality
We study the complexity of evaluating positive equality-free sentences of first-order (FO) logic over a fixed, finite structure B. This may be seen as a natural generalisation of ...
Florent R. Madelaine, Barnaby Martin
ENTCS
2008
102views more  ENTCS 2008»
15 years 6 months ago
Functorial Coalgebraic Logic: The Case of Many-sorted Varieties
Following earlier work, a modal logic for T-coalgebras is a functor L on a suitable variety. Syntax and proof system of the logic are given by presentations of the functor. This p...
Alexander Kurz, Daniela Petrisan