網頁2024年2月6日 · We study fields reminiscent of vertex operators built from the Brownian loop soup in the limit as the loop soup intensity tends to infinity. More precisely, following … 網頁2024年11月30日 · The Brownian loop soup (BLS) is a conformally invariant statistical ensemble of random loops in two dimensions characterized by an intensity $λ>0$. …

Conformal Correlation Functions in the Brownian Loop Soup - arXiv

網頁2024年11月4日 · Hence, a Brownian loop in a Brownian loop-soup will almost surely intersect infinitely many other Brownian loops in this loop-soup. From this, one can actually deduce that the Hausdorff dimension Δ of the Brownian loop-soup clusters is almost surely greater than 2 (0 − 1 law arguments show that this dimension actually always takes the … 網頁2024年7月10日 · We compute analytically and in closed form the four-point correlation function in the plane, and the two-point correlation function in the upper half-plane, of … redmagic phone on verizon

Multiplicative chaos of the Brownian loop soup

網頁2024年7月28日 · We construct a measure on the thick points of a Brownian loop soup in a bounded domain D of the plane with given intensity $θ>0$, which is formally obtained by … 網頁Crossing exponent in the Brownian loop soup Antoine Jego∗ Titus Lupu† Wei Qian‡ Abstract We study the clusters of loops in a Brownian loop soup in some bounded ... 網頁of the Brownian loop soup, i.e., we show that the total winding around a point of all loops of diameter larger than , when multiplied by 1=log , converges in distribution to a Cauchy … redmagic phones price