4 citations · 11 across the 11 of their papers we have counts for
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math.LO2018★ 2 cited
Expansions of the real field by canonical products
Chris Miller, Patrick Speissegger
We consider expansions of o-minimal structures on the real field by collections of restrictions to the positive real line of the canonical Weierstrass products associated to sequen…
math.LO2018
Ilyashenko algebras based on transserial asymptotic expansions
Zeinab Galal, Tobias Kaiser, Patrick Speissegger
We construct a Hardy field that contains Ilyashenko's class of germs at infinity of almost regular functions as well as all log-exp-analytic germs. In addition, each germ in this H…
math.LO2018
Limit cycles of planar vector fields: Hilbert's 16th problem and o-minimality
Patrick Speissegger
I discuss some recent work linking certain aspects of the second part of Hilbert's 16th problem to the theory of \hbox{o-minimality}. These notes are adapted from a lecture I gave…