349 citations · 387 across the 12 of their papers we have counts for
12 papers
A Counterexample to Nivat's Conjecture for a Non-Convex Window of Full Affine Span
Abhishek Khetan
We construct an exact cluster of cardinality with full affine span, together with an -tiling , such that the orbit closure of in $\{0,1\}^{\m…
Vector Trifference
Siddharth Bhandari, Abhishek Khetan
We investigate a geometric generalization of trifference, a concept introduced by Elias in 1988 in the study of zero-error channel capacity. In the discrete setting, a code C \subs…
Improved Upper Bound for the Size of a Trifferent Code
Siddharth Bhandari, Abhishek Khetan
A subset is said to be a code (of block length ) if for every three distinct codewords , there is…
A Periodicity Result for Tilings of by Clusters of Prime-Squared Cardinality
Abhishek Khetan
We show that if can be tiled by translated copies of a set of cardinality the square of a prime then there is a weakly periodic -tiling of…
A Ramsey Theorem for Graded Lattices
Abhishek Khetan, Amitava Bhattacharya
We develop a Van der Waerden type theorem in an axiomatic setting of graded lattices and show that this axiomatic formulation can be applied to various lattices, for instance the s…
On Configurations of Order 2
Abhishek Khetan
Let be a configuration with a non-trivial annihilator. We show that if is weakly periodic then the directions of periodicity in a minimal weakly per…
Theoretical Characterization of Structural Disorder in the Tetramer Model Structure of Eumelanin
Oleg Sapunkov, Abhishek Khetan, Vikram Pande +1
Eumelanin is regarded to be an attractive candidate material for biomedical applications. Despite many theoretical studies exploring the structure of eumelanin, an exact mapping of…
Cheeger inequalities for graph limits
Abhishek Khetan, Mahan Mj
We introduce notions of Cheeger constants for graphons and graphings. We prove Cheeger and Buser inequalities for these. On the way we prove co-area formulae for graphons and graph…
Understanding Ion Pairing in High Salt Concentration Electrolytes using Classical Molecular Dynamics Simulations and its Implications for Nonaqueous Li-O Batteries
Abhishek Khetan, Hamid Arjmandi, Vikram Pande +2
A precise understanding of solvation is essential for rational search and design of electrolytes that can meet performance demands in Li-ion and beyond Li-ion batteries. In the con…
Effect of Dynamic Surface Polarization on the Oxidative Stability of Solvents in Nonaqueous Li-O Batteries
Abhishek Khetan, Heinz Pitsch, Venkatasubramanian Viswanathan
Polarization-induced renormalization of the frontier energy levels of interacting molecules and surfaces can cause significant shifts in the excitation and transport behavior of el…
The role of disorder in NaO and its implications for Na-O batteries
Oleg Sapunkov, Vikram Pande, Abhishek Khetan +1
We present a DFT study utilizing the Hubbard U correction to probe structural and magnetic disorder in , primary discharge product of Na-O batteries. We show…
Enhancing electrochemical intermediate solvation through electrolyte anion selection to increase nonaqueous Li-O battery capacity
Colin M. Burke, Vikram Pande, Abhishek Khetan +2
Among the 'beyond Li-ion' battery chemistries, nonaqueous Li-O batteries have the highest theoretical specific energy and as a result have attracted significant research attent…