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We present here a reciprocal space formulation of the Augmented space recursion (ASR) which uses the lattice translation symmetry in the full augmented space to produce configuration averaged quantities, such as spectral functions and…

Disordered Systems and Neural Networks · Physics 2007-05-23 Kamal Krishna Saha , Abhijit Mookerjee

In this communication we propose the use of the Augmented Space Recursion as an ideal methodology for the study of electronic and magnetic structures of rough surfaces, interfaces and overlayers. The method can take into account roughness,…

Off-stoichiometric alloys exhibit partial disorder, in the sense that only some of the sublattices of the stoichiometric ordered alloy become disordered. This paper puts forward a generalization of the augmented space recursion (ASR)…

Condensed Matter · Physics 2009-11-07 Atisdipankar Chakrabarti , Abhijit Mookerjee

We present here an efficient method which systematically reduces the rank of the augmented space and thereby helps to implement augmented space recursion for any real calculation. Our method is based on the symmetry of the Hamiltonian in…

Materials Science · Physics 2009-11-10 Kamal Krishna Saha , Tanusri Saha-Dasgupta , Abhijit Mookerjee , Indra Dusgupta

We present here an augmented space recursive technique in the k-representation which include diagonal, off-diagonal and the environmental disorder explicitly : an analytic, translationally invariant, multiple scattering theory for phonons…

Materials Science · Physics 2013-12-25 Aftab Alam , Abhijit Mookerjee

In this communication we have studied the electronic structure, magnetic and optical properties of bcc \fecr alloys in the ferromagnetic phase. We have used the augmented space recursion technique coupled with tight-binding linearized…

Disordered Systems and Neural Networks · Physics 2007-06-12 Kartick Tarafder , Atisdipankar Chakrabarti , Subhradip Ghosh , Biplab Sanyal , Olle Eriksson , Abhijit Mookerjee

In this paper, we first generalize the class of linear codes by Ding and Ding (IEEE TIT, 61(11), pp. 5835-5842, 2015). Then we mainly study the augmented codes of this generalized class of linear codes. For one thing, we use Gaussian sums…

Information Theory · Computer Science 2024-04-30 Ziling Heng , Keqing Cao

Algebraic space-time coding allows for reliable data exchange across fading multiple-input multiple-output channels. A powerful technique for decoding space-time codes in Maximum-Likelihood (ML) decoding, but well-performing and widely-used…

Information Theory · Computer Science 2015-01-28 Amaro Barreal , Camilla Hollanti , David Karpuk

High precision atomic data is indispensable for experiments involving studies of fundamental interactions, astrophysics, atomic clocks, plasma science, and others. We develop new parallel atomic structure codes and explore the difficulties…

Atomic Physics · Physics 2021-03-11 C. Cheung , M. S. Safronova , S. G. Porsev

In this paper, the design of irregular turbo codes for the binary erasure channel is investigated. An analytic expression of the erasure probability of punctured recursive systematic convolutional codes is derived. This exact expression…

Information Theory · Computer Science 2008-04-04 Ghassan M. Kraidy , Valentin Savin

This paper introduces the multiplicative variant of the recently proposed asynchronous additive coarse-space correction method. Definition of an asynchronous extension of multiplicative correction is not straightforward, however, our…

Numerical Analysis · Mathematics 2023-12-20 Guillaume Gbikpi-Benissan , Frédéric Magoulès

Repetition-based retransmission is used in Alamouti-modulation [1998] for $2\times 2$ MIMO systems. We propose to use instead of ordinary repetition so-called "scaled repetition" together with rotation. It is shown that the rotated and…

Information Theory · Computer Science 2008-02-06 Frans M. J. Willems

We consider (symmetric, non-degenerate) bilinear spaces over a finite field and investigate the properties of their $\ell$-complementary subspaces, i.e., the subspaces that intersect their dual in dimension $\ell$. This concept generalizes…

Information Theory · Computer Science 2022-12-16 Heide Gluesing-Luerssen , Alberto Ravagnani

We introduce a computational scheme for calculating the electronic structure of random alloys that includes electronic correlations within the framework of the combined density functional and dynamical mean-field theory. By making use of…

Strongly Correlated Electrons · Physics 2018-12-26 A. Östlin , L. Vitos , L. Chioncel

We investigate the reconstruction of asymptotically anti-de Sitter (AdS) bulk geometries from boundary entanglement entropy data for ball-shaped entangling regions. By deriving an explicit inversion formula, we relate variations in…

High Energy Physics - Theory · Physics 2025-12-22 Niko Jokela , Tony Liimatainen , Miika Sarkkinen , Leo Tzou

In this paper we propose a new class of spatially coupled codes based on repeat-accumulate protographs. We show that spatially coupled repeat-accumulate codes have several advantages over spatially coupled low-density parity-check codes…

Information Theory · Computer Science 2011-11-01 Sarah J. Johnson , Gottfried Lechner

Naturally occurring materials are often disordered, with their bulk properties being challenging to predict from the structure, due to the lack of underlying crystalline axes. In this paper, we develop a digital pipeline from…

Disordered Systems and Neural Networks · Physics 2025-04-15 Caitlyn Obrero , Mastawal Tirfe , Carmen Lee , Sourabh Saptarshi , Christopher Rock , Karen E. Daniels , Katherine A. Newhall

Using the tensor Radon transform and related numerical methods, we study how bulk geometries can be explicitly reconstructed from boundary entanglement entropies in the specific case of $\mathrm{AdS}_3/\mathrm{CFT}_2$. We find that, given…

High Energy Physics - Theory · Physics 2020-12-30 ChunJun Cao , Xiao-Liang Qi , Brian Swingle , Eugene Tang

We introduce load-balanced fractional repetition (LBFR) codes, which are a strengthening of fractional repetition (FR) codes. LBFR codes have the additional property that multiple node failures can be sequentially repaired by downloading no…

Information Theory · Computer Science 2019-11-01 Alexandra Porter , Shashwat Silas , Mary Wootters

We address the problem of optimizing mixed sparse and dense tensor algebra in a compiler. We show that standard loop transformations, such as strip-mining, tiling, collapsing, parallelization and vectorization, can be applied to irregular…

Mathematical Software · Computer Science 2020-01-03 Ryan Senanayake , Fredrik Kjolstad , Changwan Hong , Shoaib Kamil , Saman Amarasinghe
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