• 254A, Notes 8: The microstructure of approximate groups

    Updated: 2011-11-06 17:22:36
    A common theme in mathematical analysis (particularly in analysis of a “geometric” or “statistical” flavour) is the interplay between “macroscopic” and “microscopic” scales. These terms are somewhat vague and imprecise, and their interpretation depends on the context and also on one’s choice of normalisations, but if one uses a “macroscopic” normalisation, “macroscopic” scales correspond to [...]

  • Hayleys PLC: corporate responsibility as stakeholder relations

    Updated: 2011-11-04 22:09:24
    : Contact us Help Shopping cart Home About us Article title , keywords or abstract Article title Publication title Author Advanced search Subject Publisher Publication Browse : by Home The Journal of Management Development Volume 30, Number 10 Hayleys PLC : corporate responsibility as stakeholder relations Authors : Hunter , Mark Lee Wassenhove , Luk N . Van : Source The Journal of Management Development Volume 30, Number 10, 2011 pp . 968-984(17 Publisher : Emerald Group Publishing Limited view table of contents next article Buy download fulltext : article OR Pressing the buy now button more than once may result in multiple purchases Price : 38.00 plus tax Refund Policy : Abstract : Keywords Business ethics Corporate responsibility Corporate social responsibility Labour relations Labour

  • Acciona: a process of transformation towards sustainability

    Updated: 2011-11-04 22:09:21
    : Contact us Help Shopping cart Home About us Article title , keywords or abstract Article title Publication title Author Advanced search Subject Publisher Publication Browse : by Home The Journal of Management Development Volume 30, Number 10 Acciona : a process of transformation towards sustainability Authors : Arenas , Daniel Fosse , Jeremie Murphy , Matthew : Source The Journal of Management Development Volume 30, Number 10, 2011 pp . 1027-1048(22 Publisher : Emerald Group Publishing Limited view table of contents next article Buy download fulltext : article OR Pressing the buy now button more than once may result in multiple purchases Price : 38.00 plus tax Refund Policy : Abstract : Keywords Leadership Organizational change Renewable energy Strategic management Sustainability

  • Solve

    Updated: 2011-11-02 19:08:24
    Solve

  • Finicky Diophantine Equations

    Updated: 2011-11-01 09:08:24
    As was observed elsewhere, Diophantine equations are quite finicky: slight modifications may lead from a solvable equation with no solutions. Methods that work for one equation may prove useless for a very similar equation. Here I would like to give another example of that phenomenon

  • Given the Probability, Find the Sample Space

    Updated: 2011-11-01 09:08:24
    A school teacher is in charge of a group of students. She wants to select two of the in random, and observes that it is exactly an even chance (50%) that they are of the same sex. What can be said about how many children of each se xthere are?

  • Associativity of the Baker-Campbell-Hausdorff formula

    Updated: 2011-10-29 20:25:13
    Let be a finite-dimensional Lie algebra (over the reals). Given two sufficiently small elements of , define the right Baker-Campbell-Hausdorff-Dynkin law where , is the adjoint map , and is the function , which is analytic for near . Similarly, define the left Baker-Campbell-Hausdorff-Dynkin law where . One easily verifies that these expressions are well-defined [...]

  • 254A, Notes 7: Models of ultra approximate groups

    Updated: 2011-10-28 05:37:01
    In the previous set of notes, we introduced the notion of an ultra approximate group – an ultraproduct of finite -approximate groups for some independent of , where each -approximate group may lie in a distinct ambient group . Although these objects arise initially from the “finitary” objects , it turns out that ultra approximate [...]

  • The structure of approximate groups

    Updated: 2011-10-25 03:45:29
    Emmanuel Breuillard, Ben Green, and I have just uploaded to the arXiv our paper “The structure of approximate groups“, submitted to Pub. IHES. We had announced the main results of this paper in various forums (including this blog) for a few months now, but it had taken some time to fully write up the paper [...]

  • 254A, Notes 6: Ultraproducts as a bridge between hard analysis and soft analysis

    Updated: 2011-10-15 19:58:18
    Roughly speaking, mathematical analysis can be divided into two major styles, namely hard analysis and soft analysis. The precise distinction between the two types of analysis is imprecise (and in some cases one may use a blend the two styles), but some key differences can be listed as follows. Hard analysis tends to be concerned [...]

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