Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Anirban Basak"'
Publikováno v:
Forum of Mathematics, Sigma, Vol 7 (2019)
We consider the spectrum of additive, polynomially vanishing random perturbations of deterministic matrices, as follows. Let $M_{N}$ be a deterministic $N\times N$ matrix, and let $G_{N}$ be a complex Ginibre matrix. We consider the matrix ${\mathcal
Externí odkaz:
https://doaj.org/article/619c528523354f26bbba7562379e5b23
Autor:
Anirban Basak, Riddhipratim Basu
Publikováno v:
Communications on Pure and Applied Mathematics. 76:3-72
Publikováno v:
2022 IEEE 22nd International Conference on Nanotechnology (NANO).
Autor:
Anirban Basak, Mark Rudelson
Publikováno v:
Probability Theory and Related Fields. 180:233-308
We consider three models of sparse random graphs: undirected and directed Erdős–Renyi graphs and random bipartite graph with two equal parts. For such graphs, we show that if the edge connectivity probability p satisfies $$np\ge \log n+k(n)$$ with
Autor:
Sagnik Banerjee, Koustav Jana, Anirban Basak, Michael S. Fuhrer, Dimitrie Culcer, Bhaskaran Muralidharan
The topological quantum field-effect transition in buckled 2D-Xenes can potentially be engineered to enable sub-thermionic transistor operation coupled with dissipationless ON-state conduction. Substantive device design strategies to harness this wil
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7bcd77110418730a495b0ac0d0072de8
http://arxiv.org/abs/2202.12044
http://arxiv.org/abs/2202.12044
Publikováno v:
Transactions of the American math. Society
Let $T_N$ denote an $N\times N$ Toeplitz matrix with finite, $N$ independent symbol ${\bf a}$. For $E_N$ a noise matrix satisfying mild assumptions (ensuring, in particular, that $N^{-1/2}\|E_N\|_{{\rm HS}}\to_{N\to\infty} 0$ at a polynomial rate), w
Publikováno v:
International Journal of Theoretical Physics. 58:3158-3179
In this paper, an attempt is made to present a method of quantum cost minimization or optimization technique for quantum reversible circuits using proposed merger rules in Exclusive Sum of Product (ESOP) method. These modified ESOP methods are used t
Publikováno v:
Journal of Physics D: Applied Physics. 55:075302
We analyze the electric field driven topological field effect transition on 2D-xene materials with the addition of momentum relaxation effects, in order to account for dephasing processes. The topological field effect transition between the quantum s
Publikováno v:
Electron. J. Probab.
Let $P_n^1,\dots, P_n^d$ be $n\times n$ permutation matrices drawn independently and uniformly at random, and set $S_n^d:=\sum_{\ell=1}^d P_n^\ell$. We show that if $\log^{12}n/(\log \log n)^{4} \le d=O(n)$, then the empirical spectral distribution o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b7d5b1ccd57ecaf4d1fa571383bac47
http://arxiv.org/abs/1705.09053
http://arxiv.org/abs/1705.09053
Autor:
Anirban Basak, Mark Rudelson
Publikováno v:
Ann. Probab. 47, no. 4 (2019), 2359-2416
For a class of sparse random matrices of the form $A_n =(\xi_{i,j}\delta_{i,j})_{i,j=1}^n$, where $\{\xi_{i,j}\}$ are i.i.d.~centered sub-Gaussian random variables of unit variance, and $\{\delta_{i,j}\}$ are i.i.d.~Bernoulli random variables taking
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8fc70b5245760e3ba7ca747c033962f9