Results 1 to 10 of about 634,584 (236)

A model for studying double exponential growth in the two-dimensional Euler equations [PDF]

open access: yes, 2015
We introduce a model for the two-dimensional Euler equations which is designed to study whether or not double exponential growth can be achieved for a short time at an interior point of the ...
Katz, Nets, Tapay, Andrew
core   +2 more sources

Basic nets in the projective plane [PDF]

open access: yes, 2014
The notion of basic net (called also basic polyhedron) on $S^2$ plays a central role in Conway's approach to enumeration of knots and links in $S^3$. Drobotukhina applied this approach for links in $RP^3$ using basic nets on $RP^2$.
Orevkov, S. Yu.
core   +2 more sources

A Kakeya maximal function estimate in four dimensions using planebrushes [PDF]

open access: yes, 2019
We obtain an improved Kakeya maximal function estimate in $\mathbb{R}^4$ using a new geometric argument called the planebrush. A planebrush is a higher dimensional analogue of Wolff's hairbrush, which gives effective control on the size of Besicovitch ...
Katz, Nets Hawk, Zahl, Joshua
core   +1 more source

An Explicit Framework for Interaction Nets

open access: yes, 2010
Interaction nets are a graphical formalism inspired by Linear Logic proof-nets often used for studying higher order rewriting e.g. \Beta-reduction. Traditional presentations of interaction nets are based on graph theory and rely on elementary properties ...
D. Mazza   +9 more
core   +1 more source

The flecnode polynomial: a central object in incidence geometry [PDF]

open access: yes, 2014
We give a brief exposition of the proof of the Cayley-Salmon theorem and its recent role in incidence geometry. Even when we don't use the properties of ruled surfaces explicitly, the regime in which we have interesting results in point-line incidence ...
Katz, Nets Hawk
core   +1 more source

Integrable discrete nets in Grassmannians

open access: yes, 2008
We consider discrete nets in Grassmannians $\mathbb{G}^d_r$ which generalize Q-nets (maps $\mathbb{Z}^N\to\mathbb{P}^d$ with planar elementary quadrilaterals) and Darboux nets ($\mathbb{P}^d$-valued maps defined on the edges of $\mathbb{Z}^N$ such that ...
A. Doliwa   +10 more
core   +1 more source

Classification of Local Conformal Nets. Case c < 1

open access: yes, 2002
We completely classify diffeomorphism covariant local nets of von Neumann algebras on the circle with central charge c less than 1. The irreducible ones are in bijective correspondence with the pairs of A-D_{2n}-E_{6,8} Dynkin diagrams such that the ...
Kawahigashi, Yasuyuki, Longo, Roberto
core   +4 more sources

Wadge Degrees of $\omega$-Languages of Petri Nets

open access: yes, 2018
We prove that $\omega$-languages of (non-deterministic) Petri nets and $\omega$-languages of (non-deterministic) Turing machines have the same topological complexity: the Borel and Wadge hierarchies of the class of $\omega$-languages of (non ...
Finkel, Olivier
core   +1 more source

Synchronous and Asynchronous Recursive Random Scale-Free Nets

open access: yes, 2005
We investigate the differences between scale-free recursive nets constructed by a synchronous, deterministic updating rule (e.g., Apollonian nets), versus an asynchronous, random sequential updating rule (e.g., random Apollonian nets).
B. Chopard   +4 more
core   +1 more source

Representation theory in chiral conformal field theory: from fields to observables

open access: yes, 2019
This article develops new techniques for understanding the relationship between the three different mathematical formulations of two-dimensional chiral conformal field theory: conformal nets (axiomatizing local observables), vertex operator algebras ...
Tener, James E.
core   +1 more source

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