IPM Calendar 
Friday 29 March 2024   Today  
Events for day: Thursday 27 July 2017    
           11:00 - 12:00     Theory Weekly Seminar (TWS)
On the Butterfly Effect in 3D Gravity

School
PARTICLES AND ACCELERATORS



Larak Seminar Room
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           14:00 - 16:00     Lecture
Near-Linearity, Weak Arithmetics, and Completeness

School
MATHEMATICS

The main part of this talk we published in Studies in Weak Arithmetics, V. 3 in 2016. The union of the set of all spectra ((lfloor nalpha floor)_{ninmathbb{N}^{geq 1}}), for (alphainmathbb{R}^{geq 0}), and that of rational upper spectra minus one ((lceil nalpha ceil -1)_{ninmathbb{N}^{geq 1}}), for (alphainmathbb{Q}^{> 0}), is characterized in (mathbb{N}^{(mathbb{N}setminus{0})}) by additive, equivalently multiplicative near-linearity. There are counterparts for finite initial segments of a sequence to be extendible to some inhomogeneous spectrum ((lfloor nalpha +gamma floor)_{ninmathbb{N}^{geq 1}}). The equivalences of both pairs of criter ...