Nonuniversality of compact support probability distributions in random matrix theory [PDF]
Physical Review E, 1999 The two-point resolvent is calculated in the large-n limit for the generalized fixed and bounded trace ensembles. It is shown to disagree with that of the canonical Gaussian ensemble by a nonuniversal part that is given explicitly for all monomial ...
G. Akemann +3 more
core +9 more sources
Capacity-Achieving Input Distributions of Additive Vector Gaussian Noise Channels: Even-Moment Constraints and Unbounded or Compact Support [PDF]
Entropy, 2023 We investigate the support of a capacity-achieving input to a vector-valued Gaussian noise channel. The input is subjected to a radial even-moment constraint and is either allowed to take any value in Rn or is restricted to a given compact subset of Rn ...
Jonah Eisen +2 more
doaj +4 more sources
The Lambert transform over distributions of compact support, $$L^1$$-functions and Boehmian spaces
Annals of Functional Analysis, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Benito J González, Roopkumar Rajakumar
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Representation of distributions with compact support
Manuscripta Mathematica, 1974 Distributions having compact support are represented as the boundary value of Cauchy and Poisson integrals corresponding to tubular radial domains TC in ℂn where C is an open convex cone. The Cauchy integral of U e ɛ′ is shown to be an analytic function in TC which satifies a certain boundedness condition.
R. D. Carmichael, Winston W. Walker
exaly +4 more sources
Abelian Theorems for the Real Weierstrass Transform over Compactly Supported Distributions [PDF]
MathematicsThis paper explores Abelian theorems associated with the real Weierstrass transform over distributions of compact support. This study contributes to both mathematical analysis and distribution theory by offering new insights into the interaction between ...
Benito J. González +2 more
doaj +2 more sources
Tailored electron bunches with smooth current profiles for enhanced transformer ratios in beam-driven acceleration [PDF]
Physical Review Special Topics. Accelerators and Beams, 2015 Collinear high-gradient O(GV/m) beam-driven wakefield methods for charged-particle acceleration could be critical to the realization of compact, cost-efficient, accelerators, e.g., in support of TeV-scale lepton colliders or multiple-user free-electron ...
F. Lemery, P. Piot
doaj +4 more sources
Lyapunov exponents of probability distributions with non-compact support [PDF]
, 2018 We added some corrections and a new ...
Sánchez, Adriana, Marcelo Viana
openalex +3 more sources
Periodica Polytechnica Electrical Engineering and Computer Science, 2020 Quadratic Time-Frequency Distributions (TFDs) become a standard tool in many fields producing nonstationary signatures. However, these representations suffer from two drawbacks: First, bad time-frequency localization of the signal's autoterms due to the unavoidable crossterms generated by the bilinear form of these distributions.
Sara Seninete +6 more
openalex +3 more sources
Approximate Distribution of Hitting Probabilities for a Regular Surface with Compact Support in 2D [PDF]
, 2001 Generalizing the well-known relations on characteristic functions on a plane to the case of a one-dimensional regular surface (curve) with compact support, we establish implicit equations for these functions. Introducing an approximation, we solve the combinatorial problems and reduce these equations to a set of linear equations for a finite number of ...
Denis S. Grebenkov
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The generalized Lambert transform on distributions of compact support
Journal of Mathematical Analysis and Applications, 2002 The generalized Lambert transform, introduced and studied by R. R. Goldberg, studied over the space \({\mathcal E}'((0,\infty))\) of distributions of compact support. Two propositions, one of them being the analyticity and the second establishing the connection between the generalized Lambert transform and the distributional Laplace transform, are ...
Benito J González
exaly +2 more sources