Zobrazeno 1 - 10
of 103
pro vyhledávání: '"Khetan, Abhishek"'
Autor:
Bhandari, Siddharth, Khetan, Abhishek
A subset $\mathcal{C}\subseteq\{0,1,2\}^n$ is said to be a $\textit{trifferent}$ code (of block length $n$) if for every three distinct codewords $x,y, z \in \mathcal{C}$, there is a coordinate $i\in \{1,2,\ldots,n\}$ where they all differ, that is,
Externí odkaz:
http://arxiv.org/abs/2402.02390
Autor:
Khetan, Abhishek
We show that if $\mathbb Z^3$ can be tiled by translated copies of a set $F\subseteq\mathbb Z^3$ of cardinality the square of a prime then there is a weakly periodic $F$-tiling of $\mathbb Z^3$, that is, there is a tiling $T$ of $\mathbb Z^3$ by tran
Externí odkaz:
http://arxiv.org/abs/2109.14179
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 set partition and the Boolean lattices. We derive the Hales-Jewett theo
Externí odkaz:
http://arxiv.org/abs/2103.03145
Autor:
Khetan, Abhishek
Let $c:\mathbb Z^2\to \{0, 1\}$ be a configuration with a non-trivial annihilator. We show that if $c$ is weakly periodic then the directions of periodicity in a minimal weakly periodic decomposition of $c$ can be detected from the annihilator ideal
Externí odkaz:
http://arxiv.org/abs/2102.00803
Publikováno v:
Phys. Rev. Materials 3, 105403 (2019)
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 the energetic landscape of the very large phase space of eumelanin is
Externí odkaz:
http://arxiv.org/abs/1902.09398
Autor:
Khetan, Abhishek, Mj, Mahan
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 graphings.
Comment: 35 pgs, 4 figures; v2: 39 pgs, 5 figures. Relation
Comment: 35 pgs, 4 figures; v2: 39 pgs, 5 figures. Relation
Externí odkaz:
http://arxiv.org/abs/1807.02225
Autor:
Khetan, Abhishek, Arjmandi, Hamid, Pande, Vikram, Pitsch, Heinz, Viswanathan, Venkatasubramanian
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 context of Li-O$_2$ batteries, ion pairing is decisive in determining bat
Externí odkaz:
http://arxiv.org/abs/1801.09130
Autor:
Zhang, Qi, Khetan, Abhishek, Sorkun, Elif, Niu, Fang, Loss, Andrea, Pucher, Ilaria, Er, Süleyman
Publikováno v:
In Energy Storage Materials May 2022 47:167-177
Publikováno v:
Phys. Rev. Materials 1, 045401 (2017)
Polarization-induced renormalization of the frontier energy levels of interacting molecules and surfaces can cause significant shifts in the excitation and transport behavior of electrons. This phenomenon is crucial in determining the oxidative stabi
Externí odkaz:
http://arxiv.org/abs/1705.03862