11,467 research outputs found
Regularity of Wave-Maps in dimension 2+1
In this article we prove a Sacks-Uhlenbeck/Struwe type global regularity
result for wave-maps into general compact
target manifolds .Comment: 31 page
Local energy decay for Maxwell fields part I: Spherically symmetric black-hole backgrounds
We prove local energy decay estimates for solutions to the inhomogeneous
Maxwell system on a generic class of spherically symmetric black holes.Comment: v2. Added some references. Improved exposition and one new diagram.
Journal versio
Computing data for Levin-Wen with defects
We demonstrate how to do many computations for non-chiral topological phases
with defects. These defects may be 1-dimensional domain walls or 0-dimensional
point defects.
Using as a guiding example, we demonstrate how
domain wall fusion and associators can be computed using generalized tube
algebra techniques. These domain walls can be both between distinct or
identical phases. Additionally, we show how to compute all possible point
defects, and the fusion and associator data of these. Worked examples,
tabulated data and Mathematica code are provided.Comment: 17+25 pages, many tables and attached cod
Unified Pragmatic Models for Generating and Following Instructions
We show that explicit pragmatic inference aids in correctly generating and
following natural language instructions for complex, sequential tasks. Our
pragmatics-enabled models reason about why speakers produce certain
instructions, and about how listeners will react upon hearing them. Like
previous pragmatic models, we use learned base listener and speaker models to
build a pragmatic speaker that uses the base listener to simulate the
interpretation of candidate descriptions, and a pragmatic listener that reasons
counterfactually about alternative descriptions. We extend these models to
tasks with sequential structure. Evaluation of language generation and
interpretation shows that pragmatic inference improves state-of-the-art
listener models (at correctly interpreting human instructions) and speaker
models (at producing instructions correctly interpreted by humans) in diverse
settings.Comment: NAACL 2018, camera-ready versio
Fusing Binary Interface Defects in Topological Phases: The case
A binary interface defect is any interface between two (not necessarily
invertible) domain walls. We compute all possible binary interface defects in
Kitaev's model and all possible fusions between them.
Our methods can be applied to any Levin-Wen model. We also give physical
interpretations for each of the defects in the model.
These physical interpretations provide a new graphical calculus which can be
used to compute defect fusion.Comment: 27+10 pages, 2+5 tables, comments welcom
- …