pith. machine review for the scientific record. sign in
def definition def or abbrev

markovOfMatrix

show as:
view Lean formalization →

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

generate prose now

formal statement (Lean)

  55noncomputable def markovOfMatrix (A : Matrix ι ι ℝ)
  56  (hrow : ∀ i, ∑ j, A i j = 1) (hnn : ∀ i j, 0 ≤ A i j) : Dobrushin.MarkovKernel ι :=

proof body

Definition body.

  57{ P := fun i j => A i j
  58, nonneg := hnn
  59, rowSum_one := hrow }
  60
  61/-- If all row‑row overlaps are uniformly ≥ β ∈ (0,1], we obtain a TV contraction with α = 1−β. -/

used by (1)

From the project-wide theorem graph. These declarations reference this one in their body.

depends on (9)

Lean names referenced from this declaration's body.