Model theory and Analysis

Patrick Speissegger

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January 13, 2015

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Recent Posts in Research

Liouville closure?
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Closure under composition?
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Ilyashenko algebras based on transserial asymptotic expansions
January 8, 2019
Analytic continuation of $\log$-$\exp$-analytic germs
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Ilyashenko algebras: putting it all together
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Recent Posts in Teaching

Building Toffoli gates from 1-gates and CNOT
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Toffoli gates
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Categories

Analytic functions (15)
Fields 2022 module (9)
Konstanz working seminar (9)
Log-exp analytic functions (8)
Math 2S03 (1)
Math 3QC3 (7)
Math 712 (2)
O-minimal structures (36)
Pfaffian functions (3)
Quasianalytic asymptotic algebras (9)
Quasianalytic classes (6)
Research (16)
Teaching (46)
Uncategorized (2)

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analytic cell analytic continuation approximation of boundary asymptotic expansion blow-up prepared blow-up substitution cell decomposition classical probabilistic algorithm controlled 1-gates critical point definably complete definably connected dense linear order dimension Dulac's Problem exercise finite fibers global sub-C-set interval log-exp-analytic germ log-exp analytic normalization o-minimal pfaffian closure Phragmen-Lindelof principle power series quantum algorithm quasianalytic real analytic real closed fields restricted analytic Riemann surface of logarithm scale semi-C-sets semianalytic smooth cell sparse standard power domain strictly monotone strong asymptotic expansion toffoli gate translation substitution Tschirnhausen transformation uniform finiteness Uniqueness Principle

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