77 citations · 203 across the 46 of their papers we have counts for
Showing 2011 · math.LOShow all
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math.LO2011★ 5 cited
A note on generically stable measures and fsg groups
Ehud Hrushovski, Anand Pillay, Pierre Simon
We prove that if μis a generically stable stable measure in a first order theory with NIP and mu(ϕ(x,b)) = 0 for all b, then μ^{(n)}(\exists y(ϕ(x_1,y)\wedge ... \wedge ϕ(x_n,y)))…
math.LO2011★ 77 cited
Distal and non-distal NIP theories
Pierre Simon
We study one way in which stable phenomena can exist in an NIP theory. We start by defining a notion of 'pure instability' that we call 'distality' in which no such phenomenon occu…
math.LO2011
Adding linear orders
Saharon Shelah, Pierre Simon
We address the following question: Can we expand an NIP theory by adding a linear order such that the expansion is still NIP? Easily, if acl(A)=A for all A, then this is true. Othe…