The variational principle for stationary Gaussian Markov fields

2006 ◽  
pp. 179-187 ◽  
Author(s):  
S. Kusuoka
Keyword(s):  
Variational Principle ◽  
Markov Fields

An ?Inner? Variational Principle for Markov Fields on a Graph

1977 ◽  
Vol 39 (3) ◽  
pp. 187-195 ◽  
Author(s):  
H. F�llmer ◽  
J. L. Snell
Keyword(s):  
Variational Principle ◽  
Markov Fields

Higher-order piezoelectric plate theory derived from a three-dimensional variational principle

AIAA Journal ◽  
2002 ◽  
Vol 40 ◽  
pp. 91-104 ◽  
Author(s):  
R. C. Batra ◽  
S. Vidoli
Keyword(s):  
Variational Principle ◽  
Piezoelectric Plate ◽  
Plate Theory ◽  
Three Dimensional ◽  
Higher Order

Quantum dynamics via mobile basis sets: The Dirac variational principle

1992 ◽  
Vol 96 (6) ◽  
pp. 4266-4271 ◽  
Author(s):  
D. Hsu ◽  
D. F. Coker
Keyword(s):  
Variational Principle ◽  
Quantum Dynamics ◽  
Basis Sets

scholarly journals General solutions in Chern-Simons gravity and $$ T\overline{T} $$-deformations

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Eva Llabrés
Keyword(s):  
Variational Principle ◽  
Boundary Conditions ◽  
Dirichlet Boundary ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Dirichlet Boundary Conditions ◽  
Spin Connection ◽  
Departure Point ◽  
Boundary Stress ◽  
Chern Simons

Abstract We find the most general solution to Chern-Simons AdS3 gravity in Fefferman-Graham gauge. The connections are equivalent to geometries that have a non-trivial curved boundary, characterized by a 2-dimensional vielbein and a spin connection. We define a variational principle for Dirichlet boundary conditions and find the boundary stress tensor in the Chern-Simons formalism. Using this variational principle as the departure point, we show how to treat other choices of boundary conditions in this formalism, such as, including the mixed boundary conditions corresponding to a $$ T\overline{T} $$ T T ¯ -deformation.

Random sets and Markov fields

1987 ◽  
pp. 339-344
Keyword(s):  
Random Sets ◽  
Markov Fields

On a strong minimum condition of a fractal variational principle

2021 ◽  
pp. 107199
Author(s):  
Ji-Huan He ◽  
Na Qie ◽  
Chun-hui He ◽  
Tareq Saeed
Keyword(s):  
Variational Principle ◽  
Minimum Condition

On a variational principle for the fractal Wu–Zhang system arising in shallow water

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Yan-Hong Liang ◽  
Kang-Jia Wang
Keyword(s):  
Variational Principle ◽  
Shallow Water

ALMOST ADDITIVE THERMODYNAMIC FORMALISM: SOME RECENT DEVELOPMENTS

2010 ◽  
Vol 22 (10) ◽  
pp. 1147-1179 ◽  
Author(s):  
LUIS BARREIRA
Keyword(s):  
Variational Principle ◽  
Existence And Uniqueness ◽  
Gibbs Measures ◽  
Thermodynamic Formalism ◽  
Topological Pressure ◽  
Present Stage ◽  
The Past ◽  
Recent Developments ◽  
General Sequences ◽  
Uniqueness Of Equilibrium

This is a survey on recent developments concerning a thermodynamic formalism for almost additive sequences of functions. While the nonadditive thermodynamic formalism applies to much more general sequences, at the present stage of the theory there are no general results concerning, for example, a variational principle for the topological pressure or the existence of equilibrium or Gibbs measures (at least without further restrictive assumptions). On the other hand, in the case of almost additive sequences, it is possible to establish a variational principle and to discuss the existence and uniqueness of equilibrium and Gibbs measures, among several other results. After presenting in a self-contained manner the foundations of the theory, the survey includes the description of three applications of the almost additive thermodynamic formalism: a multifractal analysis of Lyapunov exponents for a class of nonconformal repellers; a conditional variational principle for limits of almost additive sequences; and the study of dimension spectra that consider simultaneously limits into the future and into the past.

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