Recognizing that knowledge processes are social processes, and assuming that the theories considered within are commensurable, this paper proposes Giddens’ structuration theory as a basis for comparing knowledge management theories to identify common themes within the discipline. The discovery of common themes is a step toward the identification of any dominant orthodoxy within the knowledge ma...

Two groups have a common model geometry if they act properly and cocompactly by isometries on the same proper geodesic metric space. We consider free products of uniform lattices in isometry rank-1 symmetric spaces prove, within each quasi-isometry class, that residually finite are abstractly commensurable. Our result gives first examples hyperbolic quasi-isometric but do not virtually geometry...

In a recent article, Cumplido and Paris studied the question of commensurability between Artin groups spherical type. Their analysis left six cases undecided, for following pairs groups: $(F_4,D_4)$, $(H_4,D_4)$, $(F_4,H_4)$, $(E_6,D_6)$, $(E_7,D_7)$, $(E_8,D_8)$. this note we resolve first two these cases, namely, show that types $F_4$ $H_4$ are not commensurable with type $D_4$. As key step, ...

This paper presents an application to the multi-objective stochastic transportation problem in fuzzy environment. In this paper, we focus on our attention to multiobjective stochastic transportation problem involving an inequality type of constraints in which all parameters ( supply and demand ) are log-normal random variable and the objectives are non-commensurable and conflicting in nature. A...

We show that any locally compact group G with polynomial growth is weakly commensurable to some simply connected solvable Lie group S, the Lie shadow of G. We then study the shape of large balls and show, generalizing work of P. Pansu, that after a suitable renormalization, they converge to a limiting compact set which can be interpreted geometrically. As a consequence, we get the volume asympt...

We experimentally demonstrate the formation of spatial supercontinuum and of spatial frequency combs in nonlinear photonic lattices. This process results from multiple four-wave mixing initiated by launching two Floquet-Bloch modes into a one-dimensional lattice. The dynamics of the waves is sensitively dependent on the transverse momentum difference between the two initial modes: when this mom...

In this paper the notion of Measure Equivalence (ME) of countable groups is studied. ME was introduced by Gromov as a measure-theoretic analog of quasi-isometries. All lattices in the same locally compact group are Measure Equivalent; this is one of the motivations for this notion. The main result of this paper is ME rigidity of higher rank lattices: any countable group which is ME to a lattice...

Managers regularly face a complex ethical dilemma over how to best govern online communities by evaluating the effectiveness of different social or technical strategies. What ethical considerations should guide researchers and managers when they employ causal research methods that make different community members bear different risks and benefits, under different levels of consent? We introduce...

This paper describes a general algorithm for finding the commensurator of a non-arithmetic hyperbolic manifold with cusps, and for deciding when two such manifolds are commensurable. The method is based on some elementary observations regarding horosphere packings and canonical cell decompositions. For example, we use this to find the commensurators of all non-arithmetic hyperbolic once-punctur...

The main purpose of these lectures is to discuss briefly recent methods of calculation of statistical properties of quantum eigenvalues for chaotic systems based on semi-classical trace formulas. Under the assumption that periodic orbit actions are non-commensurable it is demonstrated by a few different methods that the spectral statistics of chaotic systems without time-reversal invariance in ...