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Variational principles for topological entropies of subsets
Topological entropies Measure-theoretical entropies
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2011/1/18
Let (X, T ) be a topological dynamical system. We define the measure-theoretical lower and upper entropies hμ(T ), hμ(T ) for any μ ∈ M(X), where M(X) denotes the collection of all Borel probability m...
On the Support of Minimizers of Causal Variational Principles
Support of Minimizers Causal Variational Principles
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2011/1/19
A class of causal variational principles on a compact manifold is introduced and analyzed both numerically and analytically. It is proved under general assumptions that the support of a minimizing mea...
Complexified cones. Spectral gaps and variational principles
Complexified cones. Spectral gaps variational principles
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2010/11/24
We consider contractions of complexified real cones, as recently introduced by Rugh in [Rugh10]. Dubois [Dub09] gave optimal conditions to determine if a matrix contracts a canonical complex cone. Fir...
Practical use of variational principles for modeling water waves
water waves approximate equations
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2010/4/2
This paper describes a method for deriving approximate equations for water waves. The method is based on a `relaxed' variational principle, i.e., on a Lagrangian involving as many variables as possibl...