Julien Brémont 2003 Nonlinearity 16 419 doi:10.1088/0951-7715/16/2/303
Gibbs measures at temperature zero
Julien Brémont
Show affiliationsRecommended by L Bunimovich
Let νf be the Gibbs measure associated with a regular function f on a one-sided topologically mixing subshift of finite type. Introducing a parameter λ, we consider the behaviour of the family (νλf), as λ→+∞. When f depends on p coordinates, we show that the measures (νλf) converge. Moreover, the limit measure belongs to a finite set dependent only on p and on the subshift. The proof is a consequence of a general statement of analytic geometry.
- PACS
-
02.30.Cj Measure and integration
05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
- MSC
-
32B20 Semi-analytic sets and subanalytic sets (See also 14P15)
37A60 Dynamical systems in statistical mechanics (See also 82Cxx)
- Subjects
- Dates
-
Issue 2 (March 2003)
Received 27 March 2002, in final form 4 September 2002
Published 18 December 2002
-
Gibbs measures at temperature zero
Julien Brémont 2003 Nonlinearity 16 419
-
Magnetic switching of Fe-porphyrin molecules adsorbed on surfaces: An XAFS and XMCD study
Klaus Baberschke 2009 J. Phys.: Conf. Ser. 190 012012
-
Pixel Lensing Search for Bright Microlensing Events and Variables in the Galactic Bulge
Andrew Gould and D. L. DePoy 1998 ApJ 497 62
-
Optimization of the magnetic properties of the Fe3B/Nd2Fe14B bulk nanocomposite magnets prepared by spark plasma sintering
T Fukuzaki et al 2009 J. Phys.: Conf. Ser. 191 012022
-
Thermal analysis of laser interstitial thermotherapy in ex vivo fibro-fatty tissue using exponential functions
Nelson Salas Jr et al 2004 Phys. Med. Biol. 49 1609
-
Effect of instantaneous partition coefficient of xenon on the organ blood flow measurements
J T Kuikka et al 1980 Phys. Med. Biol. 25 735
-
Apropos superconducting insulators
T Jacobsen 1996 Eur. J. Phys. 17 250
-
Tailoring the growth of p-6P nanofibres using ultrathin Au layers: an organic–metal–dielectric model system
Frank Balzer et al 2006 Nanotechnology 17 984
-
Velocity correlation functions of charged test particles
A Shalchi and H Döring 2007 J. Phys. G: Nucl. Part. Phys. 34 859
-
Ion cyclotron range of frequencies mode conversion electron heating in deuterium–hydrogen plasmas in the Alcator C-Mod tokamak
Y Lin et al 2003 Plasma Phys. Control. Fusion 45 1013
Users also read
What's this?Related review articles
What's this?- Dimension of non-conformal repellers: a survey
- Progress in normal form theory
- Integrable structure of box–ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry
, and Chern–Simons–Higgs solitons on 
: dimensional reduction of Chern–Pontryagin densities