65 citations · 66 across the 3 of their papers we have counts for
6 papers
Rank-one convexity, polyconvexity, and extremality for three-dimensional elasticity tensors in various symmetry classes
Davit Harutyunyan, Gagik Amirkhanyan
It has been known that, for quadratic functions, quasiconvexity equals rank-one convexity but need not equal polyconvexity. While there is an explicit characterization of polyconve…
Gemma 3 Technical Report
Gemma Team, Aishwarya Kamath, Johan Ferret +209
We introduce Gemma 3, a multimodal addition to the Gemma family of lightweight open models, ranging in scale from 1 to 27 billion parameters. This version introduces vision underst…
Order-preserving Freiman isomorphisms
Gagik Amirkhanyan, Albert Bush, Ernie Croot
An order-preserving Freiman 2-isomorphism is a map such that if and only if and if and only if …
Sets of Rich Lines in General Position
G. Amirkhanyan, A. Bush, E. Croot +1
Given a set of points in , the Szemerédi-Trotter theorem establishes that the number of lines which can be incident to at least of these points is $O(n^2/k^3 + n/k…
Estimates of the Discrepancy Function in Exponential Orlicz Spaces
Gagik Amirkhanyan, Dmitriy Bilyk, Michael T Lacey
We prove that in all dimensions n at least 3, for every integer N there exists a distribution of points of cardinality , for which the associated discrepancy function D_N satis…
Dichotomy Results for the L1 Norm of the Discrepancy Function
Gagik Amirkhanyan, Dmitriy Bilyk, Michael T Lacey
It is a well-known conjecture in the theory of irregularities of distribution that the L1 norm of the discrepancy function of an N-point set satisfies the same asymptotic lower bou…