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13 papers · 1 filter
Quantization and stability of bumblebee electrodynamics
Carlos Hernaski
The quantization of a vector model presenting spontaneous breaking of Lorentz symmetry in flat Minkowski spacetime is discussed. The Stueckelberg trick of introducing an auxiliary…
Transience, Recurrence and the Speed of a Random Walk in a Site-Based Feedback Environment
Ross G. Pinsky, Nicholas F. Travers
We study a random walk on which evolves in a dynamic environment determined by its own trajectory. Sites flip back and forth between two modes, and . consec…
Fast Quantum Methods for Optimization
Sergio Boixo, Gerardo Ortiz, Rolando Somma
Discrete combinatorial optimization consists in finding the optimal configuration that minimizes a given discrete objective function. An interpretation of such a function as the en…
Optimal high-level descriptions of dynamical systems
David H. Wolpert, Joshua A. Grochow, Eric Libby +1
To analyze high-dimensional systems, many fields in science and engineering rely on high-level descriptions, sometimes called "macrostates," "coarse-grainings," or "effective theor…
Extremal functions for real convex bodies
D. Burns, N. Levenberg, S. Ma`u
We study the smoothness of the Siciak-Zaharjuta extremal function associated to a convex body in . We also prove a formula relating the complex equilibrium measure of…
Standards for Graph Algorithm Primitives
Tim Mattson, David Bader, Jon Berry +16
It is our view that the state of the art in constructing a large collection of graph algorithms in terms of linear algebraic operations is mature enough to support the emergence of…