12:00
Tubings of rooted trees: resurgence and multiple insertion places
Abstract
I will explain about how tubings of rooted trees can solve Dyson-Schwinger equations, and then summarize the two newer results in this direction, how to incorporate distinct insertion places and how when the Mellin transform is a reciprocal of a polynomial with rational roots, then one can use combinatorial techniques to obtain a system of differential equations that is perfectly suited to resurgent analysis.
Based on arXiv:2408.15883 (with Michael Borinsky and Gerald Dunne) and arXiv:2501.12350 (with Nick Olson-Harris).
Cube-root concentration of the chromatic number of $G(n,1/2)$ – sometimes
Abstract
13:00
Introduction to the membrane theory of entanglement dynamics
Abstract
The time evolution of quantum matter systems toward their thermal equilibria, characterized by their entanglement entropy (EE), is a question that permeates many areas of modern physics. The dynamic of EE in generic chaotic many-body systems has an effective description in terms of a minimal membrane described by its membrane tension function. For strongly coupled systems with a gravity dual, the membrane tension can be obtained by projecting the bulk Hubeny-Rangamani-Ryu-Takayanagi (HRT) surfaces to the boundary along constant infalling time. In this talk, I will introduce the membrane theory of entanglement dynamics, its generalization to 2d CFT, as well as several applications. Based on arXiv: 1803.10244 and arXiv: 2411.16542.
the ultra-high-energy cosmic-ray proton fraction with IceCube
response to an IceCube neutrino alert