Headstrong
发表于 2025-3-23 11:02:22
http://reply.papertrans.cn/71/7030/702944/702944_11.png
oxidize
发表于 2025-3-23 14:40:39
http://reply.papertrans.cn/71/7030/702944/702944_12.png
obeisance
发表于 2025-3-23 20:40:51
http://reply.papertrans.cn/71/7030/702944/702944_13.png
混杂人
发表于 2025-3-24 01:28:11
http://reply.papertrans.cn/71/7030/702944/702944_14.png
Cryptic
发表于 2025-3-24 05:35:58
Open Problems,Problem 15.1. Let . be a sequence of optimal traffic plans such that . is uniformly bounded and . converges to χ. Is χ optimal?
lanugo
发表于 2025-3-24 08:03:02
http://reply.papertrans.cn/71/7030/702944/702944_16.png
单纯
发表于 2025-3-24 11:03:41
The Tree Structure of Optimal Traffic Plans and their Approximation, point. The presentation here is inspired from . Several techniques come from papers by Xia and Maddalena-Solimini . The proof of the bi-Lipschitz regularity of fibers with positive flow follows and the pruning and theorem is borrowed from Devillanova and Solimini . The monoton
invert
发表于 2025-3-24 17:42:35
Irrigability and Dimension, happens if α is critical? Corollary 10.16 gives the answer: if any probability measure μ with a bounded supports is α-irrigable, then α>1/.. Thus the .-dimensional Lebesgue measure is not 1−1/. irrigable. Here the presentation and results follow closely Devillanova’s PhD and Devillanova-Solimi
Generosity
发表于 2025-3-24 22:24:40
The Landscape of an Optimal Pattern, be defined as a path integral along the network from the source to .. does not depend on the path but only on .. Section 11.4 is devoted to a general semicontinuity property of . and Section 11.5 to its Hölder continuity when the irrigated measure dominates Lebesgue on .. The whole chapter follows
pineal-gland
发表于 2025-3-25 01:54:10
The Gilbert-Steiner Problem,n Gilbert’s article, yet without proof. In the second section, we generalize the construction already made for two masses to any number of masses. More precisely, if we prescribe a particular topology of a tree irrigating . masses from a Dirac mass, we describe a recursive procedure that permits to