網頁The Brownian loop soup is a conformally invariant statistical ensemble of random loops in two dimensions characterized by an intensity \(\lambda >0\), with central charge \(c=2 \lambda \). Recent ... 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 …

[math/0304419] The Brownian loop soup - arXiv.org

網頁2015年12月15日 · We provide a decomposition of the trace of the Brownian motion into a simple path and an independent Brownian soup of loops that intersect the simple path. More precisely, we prove that any subsequential scaling limit of the loop erased random walk is a simple path (a new result in three dimensions), which can be taken as the … 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 … budajenő posta

[2107.13340] Multiplicative chaos of the Brownian loop soup

網頁2024年8月16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 Camia et al. (Nucl Phys B 902:483–507, 2016), we take a (massless or massive) Brownian loop soup in a planar domain and assign a random sign to each loop. We then consider … 網頁The (rooted) Brownian loop soup with intensity λ ∈ (0,∞) in D is a Poissonian realization from the measure λμD. The Brownian loop soup introduced by Lawler and Werner [18] is obtained by forgetting the starting points (roots) of the loops. The 網頁Elie Aïdékon's 26 research works with 670 citations and 803 reads, including: Multiplicative chaos of the Brownian loop soup We consider the minimum of a super-critical branching ... budajeno oenkormanyzat