### Akademisk avhandling för teknisk doktorsexamen vid

, 1994

"... mcmxciv This thesis deals with combinatorics in connection with Coxeter groups, finitely generated but not necessarily finite. The representation theory of groups as nonsingular matrices over a field is of immense theoretical importance, but also basic for computational group theory, where the group ..."

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mcmxciv This thesis deals with combinatorics in connection with Coxeter groups, finitely generated but not necessarily finite. The representation theory of groups as nonsingular matrices over a field is of immense theoretical importance, but also basic for computational group theory, where the group elements are data structures in a computer. Matrices are unnecessarily large structures, and part of this thesis is concerned with small and efficient representations of a large class of Coxeter groups (including most Coxeter groups that anyone ever payed any attention to.) The main contents of the thesis can be summarized as follows. • We prove that for all Coxeter graphs constructed from an n-path of unlabelled edges by adding a new labelled edge and a new vertex (sometimes two new edges and vertices), there is a permutational representation of the corresponding group. Group elements correspond to integer n-sequences and the nodes in the path generate all n! permutations. The extra node has a more complicated action, adding a certain quantity to some of the numbers.

### DOI: 10.1007/s00526-003-0210-4

, 2003

"... Abstract. We give a new proof of regularity of biharmonic maps from four-dimensional domains into spheres, showing first that the biharmonic map system is equivalent to a set of bilinear identities in divergence form. The method of reverse Hölder inequalities is used next to prove continuity of sol ..."

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Abstract. We give a new proof of regularity of biharmonic maps from four-dimensional domains into spheres, showing first that the biharmonic map system is equivalent to a set of bilinear identities in divergence form. The method of reverse Hölder inequalities is used next to prove continuity of solutions and higher integrability of their second order derivatives. As a byproduct, we also prove that a weak limit of biharmonic maps into a sphere is again bihar-monic. The proof of regularity can be adapted to biharmonic maps on the Heisenberg group, and to other functionals leading to fourth order elliptic equations with critical nonlinearities in lower order derivatives. Mathematics Subject Classification (2000): 35J60, 35H20 1.

###
Nuclear Physics *B* *Proceedings* Supplement – preprint (2014) 1–42 Nuclear Physics *B* *Proceedings* Supplement Universal Aspects of QCD-like TheoriesI

"... In these lectures I review some basic examples of how the concepts of universality and scaling can be used to study aspects of the chiral and the deconfinement transition, if not in QCD directly but in QCD-like theories. As an example for flavor dynamics I discuss a quark-hadron model to describe th ..."

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the phase diagram of two-color QCD with the functional renormalization group. Universal aspects of deconfinement are illustrated mainly in the

*2*+ 1 dimensional SU(N) gauge theories with second order transition where many exact results from spin models can be exploited.### AGR 05

"... Responses of soil biological processes to elevated atmospheric [CO2] and nitrogen addition in a poplar plantation ..."

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Responses of soil biological processes to elevated atmospheric [CO

*2*] and nitrogen addition in a poplar plantation### 1 Angular Energy Quantization for Linear Elliptic Systems with Antisymmetric Potentials and Applications

, 2011

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### Disthbution IJnli~nited CONTRACT TITLE: THEORETICAL STUDIES OF HIGH-POWER ULTRAVIOLET AND INFRARED MATERIALS

, 1978

"... ~f d1400 Wilson Boulevard nc assi ie ..."

### von:

, 2009

"... Die Theorie an und für sich ist nichts nütze, als insofern sie uns den Zusammenhang der Erscheinungen glauben macht. ..."

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Die Theorie an

*und*für sich ist nichts nütze, als insofern sie uns den Zusammenhang der Erscheinungen glauben macht.###
*3* ON THE MAXIMUM ORDERS OF ELEMENTS OF FINITE ALMOST SIMPLE GROUPS AND PRIMITIVE PERMUTATION GROUPS

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### GAUSSIAN NETWORKS

"... by Utsaw Kumar The presence of inexpensive and powerful sensing and communication devices has made it possible to deploy large scale distributed systems for a variety of applications. Interactions among different components of such a system include communication of information and controlling dynami ..."

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by Utsaw Kumar The presence of inexpensive and powerful sensing and communication devices has made it possible to deploy large scale distributed systems for a variety of applications. Interactions among different components of such a system include communication of information and controlling dynamical processes, among others. Thus, it is important to blend ideas from information theory and control theory to address problems at the core of such distributed systems. This dissertation looks at communication scenarios, in which there are feedback channels available for enhancing communication and control performance over noisy forward links. Such feedback can considerably increase the reliability or reduce the complexity of coding schemes that approach capacity. Moreover, transmission schemes with feedback can be used to stabilize unstable plants over communication channels, where a sensor transmits the plant state information to