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Showing 1 to 13 of 13 for “"n-vector"”.
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Critical behavior of the n-vector and charged n-vector models from an exact solution to the screening approximation
Within the screening approximation the n-vector model can be solved exactly. Results for the high temperature phase are presented here. For 1arge n there is the expected agreement with the 1/n expansion results while for small n we explore the nonexistence of a solution in the regime of spatial …
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Collective effects in multi-field inflation
… field theory formalism to the bosonic O(N) vector model with quartic self interaction minimally coupled to gravity and show how this may be used to model the quantum to classical transition out of inflation.
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Invariantes integrales en grupos de Lie
… medidas, hemos partido de las definiciones de vector integral de una curva y n-vector integral de una n-superficie dadas por Radziszewski, habiendo obtenido las condiciones bajo las cuales dicho vector y n-vector, son invariantes a derecha por elementos de G.La forma de hallar longitudes y …
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Quantum geometric Langlands correspondence in positive characteristic: the GLN case
… k \ Fp. Let BunN be the stack of rank N vector bundles on C and Ldet the line bundle on BunN given by determinant of derived global sections. In this thesis, we construct an equivalence of derived categories of modules for certain localizations of the twisted crystalline differential …
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Applications of Stein's method and large deviations principle's in mean-field O(N) models
… our results to mean-field classical $N$-vector models, for integers $N \ge 2$. We will use the theory of large deviations and Stein's method to study the total spin and its typical behavior, specifically obtaining non-normal limit theorems at the critical temperatures and central limit …
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Algorithms incorporating concurrency and caching
… matrix with nnz > n nonzeros and x is a dense n-vector. The parallel multiplication algorithm uses e(nnz) work and ... span, yielding a parallelism of ... , which is amply high for virtually any large matrix.
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Topics in quantum field theory and holography
… we consider the Bosonic and Fermionic U(N) vector models close to their free fixed points, with single-trace deformations turned on. We derive the higher-spin holographic duals corresponding to these vector models by first formulating these theories in terms of the geometry of infinite jet …
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A first-order method for the extremization of constrained and unconstrained functions
… = 0 is considered. Here, f is a scalar, x an n-vector, and cp a q-vector, where 0 < q < n. This problem is transformed into that of minimizing the unconstrained function R(x, X), where x and X are regarded as independent variables. The q-vector X is the Lagrange multiplier associated with the …
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An updating rule for the penalty constant used in the penalty function method for mathematical programming problems
… cp(x) = 0, where f is a scalar quantity, x an n-vector, and cp a q-vector, with q being less than n. The penalty function method is investigated; that is, the vector x is viewed as unconstrained, and the function f(x) is replaced by the penalty function U(x, k) = f(x) + kP(x). Here, the penalty …
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Computational Experience with Linear Optimization and Related Problems
… is an n x n matrix with full-rank and b is an n-vector) is not a solution to the underlying problem of scaling a linear program. A small computational study depicts the effectiveness of the Orchard-Hays triangularization technique in preordering a simplex basis for factorization. Pricing and …
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The Limits of Recovering Planted Subgraphs
… of a monotone property and a random Ber(p)^⊗N vector. In this setting, we provide a variational formula inspired by the so-called “fractional” expectation threshold [Tal10], again describing the MMSE curve (in this case up to a multiplicative constant) for large n.
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Application of renormalization-group techniques to random magnetic systems
… the Wilson-Fisher E-expansion to random n-vector models; Khme1'nitsky discovered that the random Ising model (n = 1) possessed a ""random"" fixed point of 0(squareroot(e)). This fixed point was found to have one marginal and one irrelevant operator. We have investigated the stability of …
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Entanglement, topology, & renormalization
… duality between the singlet sector of O(N) vector models at large N and higher spin gauge theory on Anti de Sitter (AdS) space, we develop an exact renormalization group (ERG) framework for discussing the renormalization of a large class of O(N) singlet states. We will show that for the …