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Correlation functions for zeros of a Gaussian power series and Pfaffians

   
@article{EJP2545,
	author = {Sho Matsumoto and Tomoyuki Shirai},
	title = {Correlation functions for zeros of a Gaussian power series and Pfaffians},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {18},
	year = {2013},
	keywords = {Gaussian power series ; point process ; zeros ; Pfaffian},
	abstract = {
We show that the zeros of the random power series with i.i.d. real Gaussian coefficients form a Pfaffian point process. We also show that the product moments for absolute values and signatures of the power series can also be expressed by Pfaffians.
},
	pages = {no. 49, 1-18},
	issn = {1083-6489},
	doi = {10.1214/EJP.v18-2545},    
        url = {http://ejp.ejpecp.org/article/view/2545}}