Results 81 to 90 of about 13,504 (178)
Robust constrained weighted least squares for in vivo human cardiac diffusion kurtosis imaging
Magnetic Resonance in Medicine, Volume 95, Issue 1, Page 220-233, January 2026.Abstract Purpose Cardiac diffusion tensor imaging (cDTI) can investigate the microstructure of heart tissue. At sufficiently high b‐values, additional information on microstructure can be observed, but the data require a representation such as diffusion kurtosis imaging (DKI).
Sam Coveney +6 more
wiley +1 more source
MathematicsIn this article, we study Va-transformation of a measure and of a convolution (denoted by a) defined for a∈R. We provide significant insights into the stability of the free Meixner family of probability measures under Va-transformation.
Fahad Alsharari, Raouf Fakhfakh
doaj +1 more source
On Free Moments and Free Cumulants
, 2014 The concepts of free cumulants and free moments are indispensably related to the idea of freeness introduced by Voiculescu [Voiculescu, D., Proc. Conf., Buşteni/Rom., Lect. Notes Math. 1132(1985), pp. 556-588] and studied further within Free probability theory. Free probability theory is of great importance for both the developing mathematical theories
Pielaszkiewicz, Jolanta +2 more
openaire +1 more source
Counting Independent Sets in Percolated Graphs via the Ising Model
Random Structures &Algorithms, Volume 68, Issue 1, January 2026.ABSTRACT Given a graph G$$ G $$, we form a random subgraph Gp$$ {G}_p $$ by including each edge of G$$ G $$ independently with probability p$$ p $$. We provide an asymptotic expansion of the expected number of independent sets in random subgraphs of regular bipartite graphs satisfying certain vertex‐isoperimetric properties, extending the work of ...
Anna Geisler +3 more
wiley +1 more source
Convergence of the Fourth Moment and Infinite Divisibility: Quantitative estimates [PDF]
, 2014 We give an estimate for the Kolmogorov distance between an infinitely divisible distribution (with mean zero and variance one) and the standard Gaussian distribution in terms of the difference between the fourth moment and 3. In a similar fashion we give
Arizmendi, Octavio, Jaramillo, Arturo
core
Full Eigenstate Thermalization via Free Cumulants in Quantum Lattice Systems
Physical Review LettersThe Eigenstate-Thermalization-Hypothesis (ETH) has been established as the general framework to understand quantum statistical mechanics. Only recently has the attention been paid to so-called full ETH, which accounts for higher-order correlations among matrix elements, and that can be rationalized theoretically using the language of Free Probability ...
Silvia Pappalardi +2 more
openaire +4 more sources
Real and quaternionic second-order free cumulants and connections to matrix cumulants
, 2018 We present definitions for real and quaternionic second-order free cumulants, functions whose collective vanshing when applied to elements from different subalgebras is equivalent to the second-order real (resp.\ quaternionic) freeness of those subalgebras.
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Dual Garside structure of braids and free cumulants of products
, 2014 We count the n-strand braids whose normal decomposition has length at most two in the dual braid monoid B_n+* by reducing the question to a computation of free cumulants for a product of independent variables, for which we establish a general formula.
Biane, Philippe, Dehornoy, Patrick
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An operadic approach to operator-valued free cumulants
Higher Structures, 2018 An operadic framework is developed to explain the inversion formula relating moments and cumulants in operator-valued free probability theory.
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Finite $N$ precursors of the free cumulants
48 pages, 1 figure, v3: small ...
Lacroix, Sylvain, Zuber, Jean-Bernard
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