A Question about Parisi Functional

A Dynamic Programming Approach to the Parisi Functional

G. Parisi predicted an important variational formula for the thermodynamic limit of the intensive free energy for a class of mean field spin glasses. In this paper, we present an elementary approach to the study of the Parisi functional using stochastic dynamic programing and semi-linear PDE. We give a derivation of important properties of the Parisi PDE avoiding the use of Ruelle Probability C...

Functional Law and Economics: The Search for Value-Neutral Principles of Lawmaking

Variational Formulation for the Kpz and Related Kinetic Equations

We present a variational formulation for the Kardar-Parisi-Zhang (KPZ) equation that leads to a thermodynamic-like potential for the KPZ as well as for other related kinetic equations. For the KPZ case, with the knowledge of such a potential we prove some global shift invariance properties previously conjectured by other authors. We also show a few results about the form of the stationary proba...

Functional form of the Parisi overlap distribution for the three-dimensional Edwards-Anderson Ising spin glass.

Recently, it has been conjectured that the statistics of extremes is of relevance for a large class of correlated systems. For certain probability densities this predicts the characteristic large x falloff behavior f(x) approximately exp(-ae(x)), a>0. Using a multicanonical Monte Carlo technique, we have measured the Parisi overlap distribution P(q) for the three-dimensional Edward-Anderson Isi...

Título Artículo / Títol Article: Explosive Type of Moderate-resistance Training Induces Functional, Cardiovascular, and Molecular Adaptations in the Elderly Explosive-type of Moderate-resistance Training Induces Functional, Cardiovascular and Molecular

Cita bibliográfica / Cita bibliogràfica (ISO 690): BELTRÁN VALLS, M. R..[et al.]. Explosive type of moderate-resistance training induces functional, cardiovascular, and molecular adaptations in the