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24 papers · 1 filter
Multiple steady states in a mathematical model for interactions between T cells and macrophages
Alan D. Rendall
The aim of this paper is to prove results about the existence and stability of multiple steady states in a system of ordinary differential equations introduced by R. Lev Bar-Or to…
A decay estimate for a wave equation with trapping and a complex potential
Lars Andersson, Pieter Blue, Jean-Philippe Nicolas
In this brief note, we consider a wave equation that has both trapping and a complex potential. For this problem, we prove a uniform bound on the energy and a Morawetz (or integrat…
Quantum Brownian motion of multipartite systems and their entanglement dynamics
C. H. Fleming, Albert Roura, B. L. Hu
We solve the model of N quantum Brownian oscillators linearly coupled to an environment of quantum oscillators at finite temperature, with no extra assumptions about the structure…
Complete N-Point Superstring Disk Amplitude II. Amplitude and Hypergeometric Function Structure
Carlos R. Mafra, Oliver Schlotterer, Stephan Stieberger
Using the pure spinor formalism in part I [1] we compute the complete tree-level amplitude of N massless open strings and find a striking simple and compact form in terms of minima…
Complete N-Point Superstring Disk Amplitude I. Pure Spinor Computation
Carlos R. Mafra, Oliver Schlotterer, Stephan Stieberger
In this paper the pure spinor formalism is used to obtain a compact expression for the superstring N-point disk amplitude. The color ordered string amplitude is given by a sum over…
Ricci flow and the holonomy group
Brett L. Kotschwar
We prove that the restricted holonomy group of a complete smooth solution to the Ricci flow of uniformly bounded curvature cannot spontaneously contract in finite time; it follows,…