Artin Billiard: Exponential Decay of Correlation Functions
نویسندگان
چکیده
منابع مشابه
On the Exponential Decay of Correlation Functions*
We use the properties of subharmonic functions to prove the following results, First, for any lattice system with finite-range forces there is a gap in the spectrum of the transfer matrix, which persists in the thermodynamic limit, if the fugacity z lies in a region E of the complex plane that contains the origin and is free of zeros of the grand partition function (with periodic boundary condi...
متن کاملExponential Decay of Quantum Wave Functions
I’ve no doubt that for ODEs, the questions and techniques for exponential decay of solutions go back a long way, maybe even to the nineteenth century. For one body systems with decaying potential, I think they are at least in Titchmarsh’s book. For ODEs with explicit polynomially growing potentials there are precise asymptotics going back to the at least the middle of the twentieth century. My ...
متن کاملCorrelation at Low Temperature: I. Exponential Decay
The present paper generalizes the analysis [18, 2] of the correlations for a lattice system of real-valued spins at low temperature. The Gibbs measure is assumed to be generated by a fairly general pair potential (Hamiltonian function). The novelty, as compared to [18, 2], is that the single-site (self-) energies of the spins are not required to have only a single local minimum and no other ext...
متن کاملOn the Artin-hasse Exponential Series
1. Professor G. Whaples has kindly drawn my attention to the very similar properties enjoyed by the series which I called the Witt hyperexponential in a recent paper [2], and a series which he had previously defined, using the Artin-Hasse exponential series [5]; the main fact is that both series define a homomorphism of the Witt group W onto the multiplicative group W*. In answer to his questio...
متن کاملPoles of Artin L - functions and the strong Artin
We show that if the L-function of an irreducible 2-dimensional complex Galois representation over Q is not automorphic then it has infinitely many poles. In particular, the Artin conjecture for a single representation implies the corresponding strong Artin conjecture. Introduction Let ρ : Gal(Q/Q) → GLn(C) be an irreducible continuous representation of the absolute Galois group of Q. Brauer [2]...
متن کاملذخیره 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: Theoretical and Mathematical Physics
سال: 2018
ISSN: 0040-5779,1573-9333
DOI: 10.1134/s004057791811003x