TY - JOUR

T1 - Large deviations for the fermion point process associated with the exponential kernel

AU - Shirai, Tomoyuki

N1 - Funding Information:
This work is partially supported by JSPS under the Grant-in-Aid for Scientific Research No. 15740055.

PY - 2006/5

Y1 - 2006/5

N2 - For the fermion point process on the whole complex plane associated with the exponential kernel ezw̄, we show the central limit theorem for the random variable ξ(D r , the number of points inside the ball D r of radius r, as r → ∞ and we establish the large deviation principle for the random variables {r -2ξ (D r ), r > 0}.

AB - For the fermion point process on the whole complex plane associated with the exponential kernel ezw̄, we show the central limit theorem for the random variable ξ(D r , the number of points inside the ball D r of radius r, as r → ∞ and we establish the large deviation principle for the random variables {r -2ξ (D r ), r > 0}.

UR - http://www.scopus.com/inward/record.url?scp=33747500924&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33747500924&partnerID=8YFLogxK

U2 - 10.1007/s10955-006-9026-x

DO - 10.1007/s10955-006-9026-x

M3 - Article

AN - SCOPUS:33747500924

VL - 123

SP - 615

EP - 629

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 3

ER -