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26 papers · 1 filter
An algebraic framework for information theory: Classical Information
Manas K. Patra, Samuel L. Braunstein
This work proposes a complete algebraic model for classical information theory. As a precursor the essential probabilistic concepts have been defined and analyzed in the algebraic…
Polytopes with groups of type PGL_2(q)
Dimitri Leemans, Egon Schulte
There exists just one regular polytope of rank larger than 3 whose full automorphism group is a projective general linear group PGL_2(q), for some prime-power q. This polytope is t…
Probabilistic Weighted Automata
Krishnendu Chatterjee, Laurent Doyen, Thomas A. Henzinger
Nondeterministic weighted automata are finite automata with numerical weights on transitions. They define quantitative languages L that assign to each word w a real number L(w). Th…
Noise-induced escape from bifurcating attractors: Symplectic approach in the weak-noise limit
Jonathan Demaeyer, Pierre Gaspard
The effect of noise is studied in one-dimensional maps undergoing transcritical, tangent, and pitchfork bifurcations. The attractors of the noiseless map become metastable states i…
Microscopic origin of the jump diffusion model
M. F. Gelin, D. S. Kosov
The present paper is aimed at studying the microscopic origin of the jump diffusion. Starting from the -body Liouville equation and making only the assumption that molecular reo…
Supersymmetric quantum cosmological billiards
Axel Kleinschmidt, Michael Koehn, Hermann Nicolai
D=11 Supergravity near a space-like singularity admits a cosmological billiard description based on the hyperbolic Kac-Moody group E10. The quantization of this system via the supe…