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12 papers · 1 filter
Non-isotopic Symplectic Tori in the Same Homology Class
Tolga Etgü, B. Doug Park
For any pair of integers and , we construct an infinite family of mutually non-isotopic symplectic tori representing the homology class of an elliptic sur…
JohnnyVon: Self-Replicating Automata in Continuous Two-Dimensional Space
Arnold Smith, Peter Turney, Robert Ewaschuk
JohnnyVon is an implementation of self-replicating automata in continuous two-dimensional space. Two types of particles drift about in a virtual liquid. The particles are automata…
Invariance of Stationary and Ergodic Properties of a Quantum Source under Memoryless Transformations
Alexei Kaltchenko, En-Hui Yang
We prove that the stationarity and the ergodicity of a quantum source are preserved by any trace-preserving completely positive linear map of the tensor product form ${\cal E}^{\ot…
Nutty Bubbles
A. M. Ghezelbash, R. B. Mann
We investigate the various time-dependent bubble spacetimes that can be obtained from double analytic continuation of asymptotically locally flat/AdS spacetimes with NUT charge. We…
Counting Rational Points on Ruled Varieties
David McKinnon
In this paper, we prove a general result computing the number of rational points of bounded height on a projective variety which is covered by lines. The main technical result…
Brownian Motion in a Classical Ideal Gas: a Microscopic Approach to Langevin's Equation
Rangan Lahiri, Arvind, Anirban Sain
We present an insightful ``derivation'' of the Langevin equation and the fluctuation dissipation theorem in the specific context of a heavier particle moving through an ideal gas o…