In this paper, a new method for the agentification of production systems within the development of Multi-Agent-Systems (MAS) is presented.

The verification of the isomorphism conjectures of Baum and Connes and Farrell and Jones for certain classes of groups is used to compute the algebraic Kand L-theory and the topologicalK-theory of cocompact planar groups (= cocompact N.E.C-groups) and of groupsG appearing in an extension 1 → Zn → G → π → 1 where π is a finite group and the conjugation πaction on Zn is free outside 0 ∈ Zn. These...

Abstract. We reformulate the Baum-Connes conjecture with coe cients by introducing a new crossed product functor for C⇤-algebras. All confirming examples for the original Baum-Connes conjecture remain confirming examples for the reformulated conjecture, and at present there are no known counterexamples to the reformulated conjecture. Moreover, some of the known expander-based counterexamples to...

Stefan Bösner ([email protected]) Jörg Haasenritter ([email protected]) Maren Abu Hani ([email protected]) Heidi Keller ([email protected]) Andreas C Sönnichsen ([email protected]) Konstantinos Karatolios ([email protected]) Juergen R Schaefer ([email protected]) Erika Baum ([email protected]) Norber...

In the last years, a number of authors have studied the algebraic relations between the generating series of automatic sequences. It turns out that these series are solutions of Mahler type equations. This paper is mainly concerned with the difference Galois groups of Mahler type equations (these groups reflect the algebraic relations between the solutions of the equations). In particular, we s...

When making decisions, we are often forced to choose between something safe we have chosen before, and something unknown to us that is inherently risky, but may provide a better long-term outcome. This problem is known as the Exploitation-Exploration (EE) Trade-Off. Most previous studies on the EE Trade-Off have relied on response data, leading to some ambiguity over whether uncertainty leads t...

Abstract. To derive a Baum-Katz type result, a Chover-type law of the iterated logarithm is established for weighted sums of negatively associated (NA) and identically distributed random variables with a distribution in the domain of a stable law in this paper.

A. M. Michael, S. A. Baum, V. P. Clark, R. Jung, K. O. Lim, T. White, B. C. Ho, R. L. Gollub, and V. D. Calhoun MIND Research Network, Albuquerque, NM, United States, Center for Imaging Science, Rochester Institute of Technology, Rochester, NY, United States, University of Minnesota, Minneapolis, MN, United States, University of Iowa, Iowa City, IA, United States, Psychiatry and Radiology, Mass...

We develop a general framework to describe dualities from algebraic, differential, and noncommutative geometry, as well as physics. We pursue a relationship between the Baum-Connes conjecture in operator K-theory and derived equivalence statements in algebraic geometry and physics. We associate to certain data, reminiscent of spectral triple data, a differential graded category in such a way th...

We introduce a new spectral sequence called the p-chain spectral sequence which converges to the (co-)homology of a contravariant C-space with coefficients in a covariant C-spectrum for a small category C. It is different from the corresponding Atiyah-Hirzebruch type spectral sequence. It can be used in combination with the Isomorphism Conjectures of Baum-Connes and Farrell-Jones to compute alg...