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}.
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U2 - 10.1007/s10955-006-9026-x
DO - 10.1007/s10955-006-9026-x
M3 - Article
AN - SCOPUS:33747500924
SN - 0022-4715
VL - 123
SP - 615
EP - 629
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
IS - 3
ER -