Down the Rabbit Hole!

Down the Large Rabbit Hole

This article documents my journey down the rabbit hole, chasing what I have come to know as a particularly unyielding problem in Ramsey theory on the integers: the 2-Large Conjecture. This conjecture states that if D ✓ Z+ has the property that every 2-coloring of Z+ admits arbitrarily long monochromatic arithmetic progressions with common di↵erence from D then the same property holds for any fi...

Down the Rabbit Hole: Revisiting the Shrinking Method

The paper is about methodology to detect and demonstrate impossible differentials in a block cipher. We were inspired by the shrinking technique proposed by Biham et al. [2,3] in 1999 which recovered properties of scalable block cipher structures from numerical search on scaled down variants. Attempt to bind all concepts and techniques of impossible differentials together reveals a view of the ...

Down the rabbit hole with theories of class S

We review some of the properties of 3d N = 4 theories obtained by dimensionally reducing theories of class S. We study 3d partition functions, and certain limits thereof, for such theories, and the properties implied for these by 3d mirror symmetry.

Falling down the Rabbit Hole: aTRIP Toward Lexiconic Precision in the “Gain-of-Function” Debate

Alice’s trip through the looking glass and her adventures in Wonderland represent fantastical journeys into an imaginary world where things are never as they seem, people run rapidly to stay in the same place, and eggs talk. A classic and often quoted exchange between Alice and that precocious egg revolves around the usage and definition of words. Humpty Dumpty has a rather egocentric approach ...

Down the rabbit hole: how complex do eco-physiological models need to be?