Results 31 to 40 of about 13,504 (178)
A New Look at the Coefficients of a Reciprocal Generating Function
The Scientific World Journal, 2014 We study a special property of free cumulants. We prove that coefficients of a reciprocal generating function correspond to “free cumulants with the first two elements in the same block.”
Wiktor Ejsmont
doaj +1 more source
Learning linear non-Gaussian graphical models with multidirected edges
Journal of Causal Inference, 2021 In this article, we propose a new method to learn the underlying acyclic mixed graph of a linear non-Gaussian structural equation model with given observational data.
Liu Yiheng, Robeva Elina, Wang Huanqing
doaj +1 more source
Entanglement entropies of an interval in the free Schrödinger field theory on the half line
Journal of High Energy Physics, 2022 We study the entanglement entropies of an interval adjacent to the boundary of the half line for the free fermionic spinless Schrödinger field theory at finite density and zero temperature, with either Neumann or Dirichlet boundary conditions.
Mihail Mintchev +2 more
doaj +1 more source
Decomposition of free cumulants
, 2023 Free cumulants are multilinear functionals defined in terms of the moment functional with the use of the family of lattices of noncrossing partitions. In the univariate case, they can be identified with the coefficients of the Voiculescu transform of the moment functional which plays a role similar to that of the logarithm of the Fourier transform. The
openaire +2 more sources
Functional relations for higher-order free cumulants
, 2021 We establish the functional relations between generating series of higher-order free cumulants and moments in higher-order free probability, solving an open problem posed fifteen years ago by Collins, Mingo, Śniady and Speicher. We propose an extension of free probability theory, which governs the all-order topological expansion in unitarily invariant ...
Borot, Gaëtan +4 more
openaire +3 more sources
Journal of High Energy Physics, 2018 In this paper we explain the relation between the free energy of the SYK model for N Majorana fermions with a random q-body interaction and the moments of its spectral density.
Yiyang Jia, Jacobus J. M. Verbaarschot
doaj +1 more source
Self-Dual Criticality in Three-Dimensional Z_{2} Gauge Theory with Matter
Physical Review X, 2021 The simplest topologically ordered phase in 2+1D is the deconfined phase of Z_{2} gauge theory (realized in the toric code, for example). This phase permits a duality that exchanges electric and magnetic excitations (“e” and “m” particles).
Andrés M. Somoza +2 more
doaj +1 more source
Finite free cumulants: Multiplicative convolutions, genus expansion and infinitesimal distributions
Transactions of the American Mathematical Society, 2023 Given two polynomials p ( x ) , q ( x ) p(x), q(x) of degree d d , we give a combinatorial formula for the finite free cumulants of p ( x ) ⊠ d q ( x ) p(x ...
Arizmendi, Octavio +2 more
openaire +3 more sources
Nuclear Physics B, 2018 We present a systematic short time expansion for the generating function of the one point height probability distribution for the KPZ equation with droplet initial condition, which goes much beyond previous studies.
Alexandre Krajenbrink +2 more
doaj +1 more source
Advances in Electrical and Electronic Engineering, 2018 The diagnosis of UltraSound (US) medical images is affected due to the presence of speckle noise. This noise degrades the diagnostic quality of US images by reducing small details and edges present in the image.
Amit Garg, Vineet Khandelwal
doaj +1 more source