5 citations · 8 across the 7 of their papers we have counts for
7 papers
Modeling systemic risks in financial markets
Abhijnan Rej
We survey systemic risks to financial markets and present a high-level description of an algorithm that measures systemic risk in terms of coupled networks.
Ranks of gauge groups and an NP-complete problem on the Landscape
Abhijnan Rej
We prove that the problem of determination of factor gauge groups given the rank of the gauge group at any given vacuum in the Landscape is in the computational complexity class NP…
Dimension, Divergence and Desingularization
Abhijnan Rej
I argue that consistent geometrical descriptions of the universe are far from unique even as low-energy limits and that an abstract "atomic" description of spacetime and gauge-theo…
Turing's Landscape: decidability, computability and complexity in string theory
Abhijnan Rej
I argue that questions of algorithmic decidability, computability and complexity should play a larger role in deciding the "ultimate" theoretical description of the Landscape of st…
Motives: an introductory survey for physicists
Abhijnan Rej, Matilde Marcolli
We survey certain accessible aspects of Grothendieck's theory of motives in arithmetic algebraic geometry for mathematical physicists, focussing on areas that have recently found a…
Supermanifolds from Feynman graphs
Matilde Marcolli, Abhijnan Rej
We generalize the computation of Feynman integrals of log divergent graphs in terms of the Kirchhoff polynomial to the case of graphs with both fermionic and bosonic edges, to whic…