作者：Lacoin, Hubert
摘要：In the present paper, we show that (under some minor technical assumption) Complex Gaussian multiplicative chaos defined as the complex exponential of a log-correlated Gaussian field can be obtained by taking the limit of the exponential of the field convoluted with a smoothing kernel. We consider two types of chaos: e(gamma)(X) for a log correlated field X and gamma = alpha + i beta, alpha, beta is an element of R and e(alpha X+)(i beta)(Y) for X and Y two independent fields with alpha, beta ...
作者：Morina, Giulio; Latuszynski, Krzysztof; Nayar, Piotr; Wendland, Alex
作者单位：University of Warwick; University of Warsaw; University of Warwick
摘要：Given a p-coin that lands heads with unknown probability p, we wish to produce an f (p)-coin for a given function f : (0, 1) -> (0, 1). This problem is commonly known as the Bernoulli factory and results on its solvability and complexity have been obtained in (ACM Trans. Model. Comput. Simul. 4 (1994) 213-219; Ann. Appl. Probab. 15 (2005) 93-115). Nevertheless, generic ways to design a practical Bernoulli factory for a given function f exist only in a few special cases. We present a constructi...
