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- Université Sorbonne Paris NordFR291 papers
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21 papers · 1 filter
A Renormalizable SYK-type Tensor Field Theory
Joseph Ben Geloun, Vincent Rivasseau
In this paper we introduce a simple field theoretic version of the Carrozza-Tanasa-Klebanov-Tarnopolsky (CTKT) "uncolored" holographic tensor model. It gives a more familiar interp…
An intensionally fully-abstract sheaf model for (expanded version)
Clovis Eberhart, Tom Hirschowitz, Thomas Seiller
Following previous work on CCS, we propose a compositional model for the -calculus in which processes are interpreted as sheaves on certain simple sites. Such sheaves are a conc…
Divisibility of binomial coefficients by powers of two
Lukas Spiegelhofer, Michael Wallner
For nonnegative integers and let be the number of entries in the -th row of Pascal's triangle that are not divisible by . In this paper we prove that t…
Renormalizable Enhanced Tensor Field Theory: The quartic melonic case
Joseph Ben Geloun, Reiko Toriumi
Amplitudes of ordinary tensor models are dominated at large by the so-called melonic graph amplitudes. Enhanced tensor models extend tensor models with special scalings of thei…
Tensor Models, Kronecker coefficients and Permutation Centralizer Algebras
Joseph Ben Geloun, Sanjaye Ramgoolam
We show that the counting of observables and correlators for a 3-index tensor model are organized by the structure of a family of permutation centralizer algebras. These algebras a…
Adversarial Examples for Evaluating Reading Comprehension Systems
Robin Jia, Percy Liang
Standard accuracy metrics indicate that reading comprehension systems are making rapid progress, but the extent to which these systems truly understand language remains unclear. To…