Path-space moderate deviation principles for the random field Curie-Weiss model

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Sharp Asymptotics for Metastability in the Random Field Curie-weiss Model

In this paper we study the metastable behavior of one of the simplest disordered spin system, the random field Curie-Weiss model. We will show how the potential theoretic approach can be used to prove sharp estimates on capacities and metastable exit times also in the case when the distribution of the random field is continuous. Previous work was restricted to the case when the random field tak...

متن کامل

Moderate Deviation Principles for Trajectories of Sums of Independent Banach Space Valued Random Variables

Let {Xn} be a sequence of i.i.d. random vectors with values in a separable Banach space. Moderate deviation principles for trajectories of sums of {Xn} are proved, which generalize related results of Borovkov and Mogulskii (1980) and Deshayes and Picard (1979). As an application, functional laws of the iterated logarithm are given. The paper also contains concluding remarks, with examples, on e...

متن کامل

A Curie-Weiss model with dissipation

We consider stochastic dynamics for a spin system with mean field interaction, in which the interaction potential is subject to noisy and dissipative stochastic evolution. We show that, in the thermodynamic limit and at sufficiently low temperature, the magnetization of the system has a time periodic behavior, despite of the fact that no periodic force is applied.

متن کامل

Limit Theorems and Coexistence Probabilities for the Curie-Weiss Potts Model with an external field

The Curie-Weiss Potts model is a mean field version of the well-known Potts model. In this model, the critical line β = βc(h) is explicitly known and corresponds to a first order transition when q > 2. In the present paper we describe the fluctuations of the density vector in the whole domain β > 0 and h > 0, including the conditional fluctuations on the critical line and the non-Gaussian fluct...

متن کامل

The Phase Diagram of the Quantum Curie-weiss Model

This paper studies a generalization of the Curie-Weiss model (the Ising model on a complete graph) to quantum mechanics. Using a natural probabilistic representation of this model, we give a complete picture of the phase diagram of the model in the parameters of inverse temperature and transverse field strength. Further analysis computes the critical exponent for the decay of the order paramete...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Electronic Journal of Probability

سال: 2018

ISSN: 1083-6489

DOI: 10.1214/17-ejp117