Results 81 to 90 of about 3,383,288 (169)
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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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
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Structured random matrices and cyclic cumulants: A free probability approach
Random Matrices: Theory and ApplicationsIn this paper, we introduce a new class of large structured random matrices characterized by four fundamental properties which we discuss. We prove that this class is stable under matrix-valued and pointwise nonlinear operations. We then formulate an efficient method, based on an extremization problem, for computing the spectrum of subblocks of such ...
Bernard, Denis, Hruza, Ludwig
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Data for "Microcanonical Free Cumulants in lattice systems"
We provide the data for "Microcanonical Free Cumulants in lattice systems" by F. Fritzsch, T. Prosen and S. Pappalardi Recently, the full version of the Eigenstate Thermalization Hypothesis (ETH) has been systematized using Free Probability. In this paper, we present a detailed discussion of the Free Cumulants approach to many-body dynamics within ...
Fritzsch, Felix +2 more
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Large Deviations in Switching Diffusion: From Free Cumulants to Dynamical Transitions
Physical Review LettersLetter: 7+2 pages and 3 figures; Supp.
Mathis Guéneau +2 more
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From higher order free cumulants to non-separable hypermaps
, 2022 Higher order free moments and cumulants, introduced by Collins, Mingo, \'Sniady and Speicher in 2006, describe the fluctuations of unitarily invariant random matrices in the limit of infinite size.
Lionni, Luca
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Free nested cumulants and an analogue of a formula of Brillinger
, 2013 arXiv admin note: text overlap with arXiv:math ...
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Fuss-free cumulative universes: theory and practice
Universes are central to dependent type theory, and they are notoriously difficult to handle in a way that is both correct and usable. We propose a new "fuss-free" generalised algebraic presentation for polymorphic cumulative universes that dispenses with the intricate theory of coherent universe coercions in favour of a simpler formulation, which we ...
Sterbac, Raphaël, Sterling, Jonathan
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On Free Moments and Free Cumulants [Elektronisk resurs]
, 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.
Singull, Martin, +2 more
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Free cumulants of some probability measures [PDF]
Banach Center Publications, 2007 Melanie Hinz, Wojciech Młotkowski
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