Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Site Tag Cloud

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology definitions deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory object of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).

nLab > Latest Changes: monads of probability, measures, and valuations

Bottom of Page

1 to 9 of 9

  1.  
    • CommentRowNumber1.
    • CommentAuthorPaoloPerrone
    • CommentTimeOct 11th 2019

    Created page, more to come.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorPaoloPerrone
    • CommentTimeOct 11th 2019

    Adding monads.

    There are many dead links for now - in the coming weeks, I will create all the relevant articles/sections.

    v1, current

    • CommentRowNumber3.
    • CommentAuthorPaoloPerrone
    • CommentTimeOct 20th 2019

    added short intro

    diff, v4, current

    • CommentRowNumber4.
    • CommentAuthorPaoloPerrone
    • CommentTimeJan 22nd 2020

    Added some details

    diff, v22, current

    • CommentRowNumber5.
    • CommentAuthorDavid_Corfield
    • CommentTimeJan 23rd 2020

    Just to note, Paolo, that you have to separate letters in Itex for it to render properly. I’ve just done this for dpd p in the integral in section 4.

    diff, v23, current

    • CommentRowNumber6.
    • CommentAuthorDavid_Corfield
    • CommentTimeJan 23rd 2020

    It’s good to have you constructing this page. At some point I want to get round to thinking about probability theory meets type theory. I was rambling out loud in a thread starting about here.

    • CommentRowNumber7.
    • CommentAuthorPaoloPerrone
    • CommentTimeJan 23rd 2020

    Thank you for the edit - yeah, I’m so used to LaTeX.

    About type theory and probability theory: it’s been a recurrent thought for me as well, but I don’t know enough about type theory to say something meaningful yet…

    • CommentRowNumber8.
    • CommentAuthorDavid_Corfield
    • CommentTimeJul 26th 2022

    Added

    • Ruben Van Belle, Probability monads as codensity monads. Theory and Applications of Categories 38 (2022), 811–842, (tac)

    diff, v32, current

  9. I noticed that in the overview table, the extra structure on PXPX for the Riesz and Baire monads was described as “the weak topology w.r.t continuous bounded functions”, which is unfortunately not quite correct (though it does hold on Polish spaces, where both reduce to the well-known monad further above in the table). I changed the description to “induced by cartesian closedness” which might be a bit vague, but I hope it’s sufficient for an overview like this.

    Benedikt Peterseim

    diff, v42, current

1 to 9 of 9

  1.