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On the Structure of Minimizers of Causal Variational Principles in the Non-Compact and Equivariant Settings
Causal Variational Principles Non-Compact and Equivariant Settings Mathematical Physics
2012/5/25
We derive the Euler-Lagrange equations for minimizers of causal variational principles in the non-compact setting with constraints, possibly prescribing symmetries. Considering first variations, we sh...
Nondifferentiable variational principles in terms of a quantum operator
Holder functions quantum calculus calculus of variations Green’s theorem
2011/7/28
Abstract: We develop Cresson's nondifferentiable calculus of variations on the space of H\"{o}lder functions. Several quantum variational problems are considered: with and without constraints, with on...
Nondifferentiable variational principles in terms of a quantum operator
Holder functions quantum calculus calculus of variations Green’s theorem
2011/7/28
Abstract: We develop Cresson's nondifferentiable calculus of variations on the space of H\"{o}lder functions. Several quantum variational problems are considered: with and without constraints, with on...
Variational principles for topological entropies of subsets
Topological entropies Measure-theoretical entropies
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
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
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...
Optimal and hysteretic fluxes in alloy solidification: Variational principles and chimney spacing
alloy solidification Variational principles chimney spacing
2010/11/16
We take a numerical approach to analyze the mechanisms controlling the spacing of chimneys -- channels devoid of solid -- in two-dimensional mushy layers formed by solidifying a binary alloy. Chimneys...
Practical use of variational principles for modeling water waves
water waves approximate equations
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...
Difference Discrete Variational Principles, Euler-Lagrange
Cohomology and Symplectic, Multisymplectic Structures III: Application to Symplectic and Multisymplectic Algorithms
discrete variation Euler-Lagrange cohomology symplectic algorithm multisymplectic algorithm
2007/8/15
2002Vol.37No.3pp.257-264DOI:
Difference Discrete Variational Principles, Euler-Lagrange
Cohomology and Symplectic, Multisymplectic Structures III: Application to Symplectic and Multisymplec...
Difference Discrete Variational Principles, Euler-Lagrange
Cohomology and Symplectic, Multisymplectic Structures I: Difference Discrete Variational Principle
discrete variation
Euler-Lagrange cohomology symplectic structure
2007/8/15
2002Vol.37No.1pp.1-10DOI:
Difference Discrete Variational Principles, Euler-Lagrange
Cohomology and Symplectic, Multisymplectic Structures I: Difference Discrete Variational Principle
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