Browsing MIT Open Access Articles by Title
Now showing items 1325-1344 of 55746
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Algebra of diffeomorphism-invariant observables in Jackiw-Teitelboim gravity
(Springer Science and Business Media LLC, 2022-05)Abstract In this paper we use the covariant Peierls bracket to compute the algebra of a sizable number of diffeomorphism-invariant observables in classical Jackiw-Teitelboim gravity ... -
Algebra of Majorana Doubling
(American Physical Society, 2013-11)Motivated by the problem of identifying Majorana mode operators at junctions, we analyze a basic algebraic structure leading to a doubled spectrum. For general (nonlinear) interactions the emergent mode creation operator ... -
Algebra of systems: A metalanguage for model synthesis and evaluation
(Institute of Electrical and Electronics Engineers, 2009-05)This paper represents system models as algebraic entities and formulates model transformation activities as algebraic operations. We call this modeling framework ldquoalgebra of systemsrdquo (AoS). To show that AoS can ... -
Algebra of systems: A metalanguage for model synthesis and evaluation
(Institute of Electrical and Electronics Engineers, 2009-04)This paper represents system models as algebraic entities and formulates model transformation activities as algebraic operations. We call this modeling framework ldquoalgebra of systemsrdquo (AoS). To show that AoS can ... -
Algebraic Algorithms for Matching and Matroid Problems
(Society for Industrial and Applied Mathematics, 2009-07)We present new algebraic approaches for two well-known combinatorial problems: nonbipartite matching and matroid intersection. Our work yields new randomized algorithms that exceed or match the efficiency of existing ... -
Algebraic approach for subspace decomposition and clustering of neural activity
(Elsevier BV, 2022-12)We developed an approach to decompose neuronal signals into disjoint components, corresponding to task- or event-based epochs. This protocol describes how to project behavioral templates onto a low-dimensional subspace of ... -
Algebraic curves, rich points, and doubly-ruled surfaces
(Project Muse, 2018-10)We study the structure of collections of algebraic curves in three dimensions that have many curve-curve incidences. In particular, let k beafieldandlet L be a collection of n space curves in k3, with n ≪ (char(k))2 or ... -
Algebraic higher symmetry and categorical symmetry: A holographic and entanglement view of symmetry
(American Physical Society (APS), 2020)We introduce the notion of algebraic higher symmetry, which generalizes higher symmetry and is beyond higher group. We show that an algebraic higher symmetry in a bosonic system in $n$-dimensional space is characterized ... -
An algebraic interpretation of the multivariate q-Krawtchouk polynomials
(Springer US, 2016-03)The multivariate quantum q-Krawtchouk polynomials are shown to arise as matrix elements of “q-rotations” acting on the state vectors of many q-oscillators. The focus is put on the two-variable case. The algebraic interpretation ... -
Algebraic K-theory with coefficients of cyclic quotient singularities
(Elsevier, 2016-03)In this note, by combining the work of Amiot–Iyama–Reiten and Thanhoffer de Völcsey–Van den Bergh on Cohen–Macaulay modules with the previous work of the author on orbit categories, we compute the algebraic K-theory with ... -
Algebraic methods of classifying directed graphical models
(Institute of Electrical and Electronics Engineers (IEEE), 2014-06)In information theory, structural system constraints are frequently described in the form of a directed acyclic graphical model (DAG). This paper addresses the question of classifying DAGs up to an isomorphism. By considering ... -
Algebraic network coding approach to deterministic wireless relay networks
(Institute of Electrical and Electronics Engineers (IEEE), 2010-10)The deterministic wireless relay network model, introduced by Avestimehr et al., has been proposed for approximating Gaussian relay networks. This model, known as the ADT network model, takes into account the broadcast ... -
Algebraic Representations for Volumetric Frame Fields
(Association for Computing Machinery (ACM), 2020)© 2020 Owner/Author. Field-guided parameterization methods have proven effective for quad meshing of surfaces; these methods compute smooth cross fields to guide the meshing process and then integrate the fields to construct ... -
Algebraic Statistics in Practice: Applications to Networks
(Annual Reviews, 2020)© 2020 Annual Review of Statistics and Its Application. All rights reserved. Algebraic statistics uses tools from algebra (especially from multilinear algebra, commutative algebra, and computational algebra), geometry, and ... -
Algebraic Statistics in Practice: Applications to Networks
(Annual Reviews, 2020)© 2020 Annual Review of Statistics and Its Application. All rights reserved. Algebraic statistics uses tools from algebra (especially from multilinear algebra, commutative algebra, and computational algebra), geometry, and ... -
Algebraic synthesis of time-optimal unitaries in SU(2) with alternating controls
(Springer US, 2015-07)We present an algebraic framework to study the time-optimal synthesis of arbitrary unitaries in SU(2), when the control set is restricted to rotations around two non-parallel axes in the Bloch sphere. Our method bypasses ... -
Algebraic vs physical N = 6 3-algebras
(AIP Publishing, 2014-01)In our previous paper, we classified linearly compact algebraic simple N = 6 3-algebras. In the present paper, we classify their "physical" counterparts, which actually appear in the N = 6 supersymmetric 3-dimensional ... -
An algebraic watchdog for wireless network coding
(Institute of Electrical and Electronics Engineers, 2009-08)In this paper, we propose a scheme, called the algebraic watchdog for wireless network coding, in which nodes can detect malicious behaviors probabilistically, police their downstream neighbors locally using overheard ... -
Algebraic Watchdog: Mitigating Misbehavior in Wireless Network Coding
(Institute of Electrical and Electronics Engineers (IEEE), 2011-11)We propose a secure scheme for wireless network coding, called the algebraic watchdog. By enabling nodes to detect malicious behaviors probabilistically and use overheard messages to police their downstream neighbors ... -
Algebraically recurrent random walks on groups
(Institute of Mathematical Statistics, 2013-04)Initial steps are presented towards understanding which finitely generated groups are almost surely generated as a semigroup by the path of a random walk on the group.
