Cumulants, free cumulants and half-shuffles. [PDF]
Proc Math Phys Eng Sci, 2015 Free cumulants were introduced as the proper analog of classical cumulants in the theory of free probability. There is a mix of similarities and differences, when one considers the two families of cumulants.
Ebrahimi-Fard K, Patras F.
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European Physical Journal C: Particles and Fields, 2023 By linearly parameterizing the QCD Landau free energy near the critical point in the baryon chemical potential and temperature plane, we study the fluctuations of the QCD chiral order parameter field (the $$\sigma $$ σ field) in the equilibrium case and ...
Lijia Jiang +2 more
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A Cost-Effective Treatment of Spin–Orbit Couplings in the State-Averaged Driven Similarity Renormalization Group Second-Order Perturbation Theory [PDF]
MoleculesWe present an economical approach to treat spin–orbit coupling (SOC) in the state-averaged driven similarity renormalization group second-order perturbation theory (SA-DSRG-PT2).
Meng Wang, Chenyang Li
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Exact entanglement in the driven quantum symmetric simple exclusion process
SciPost Physics, 2023 Entanglement properties of driven quantum systems can potentially differ from the equilibrium situation due to long range coherences. We confirm this observation by studying a suitable toy model for mesoscopic transport: the open quantum symmetric simple
Denis Bernard, Ludwig Hruza
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Characters of symmetric groups in terms of free cumulants and Frobenius coordinates [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 Free cumulants are nice and useful functionals of the shape of a Young diagram, in particular they give the asymptotics of normalized characters of symmetric groups $\mathfrak{S}(n)$ in the limit $n \to \infty$.
Maciej Dolega +2 more
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Work and Fluctuations: Coherent vs. Incoherent Ergotropy Extraction [PDF]
Quantum, 2022 We consider a quasi-probability distribution of work for an isolated quantum system coupled to the energy-storage device given by the ideal weight. Specifically, we analyze a trade-off between changes in average energy and changes in weight's variance ...
Marcin Łobejko
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Scale invariance properties of intracerebral EEG improve seizure prediction in mesial temporal lobe epilepsy. [PDF]
PLoS ONE, 2015 Although treatment for epilepsy is available and effective for nearly 70 percent of patients, many remain in need of new therapeutic approaches. Predicting the impending seizures in these patients could significantly enhance their quality of life if the ...
Kais Gadhoumi +2 more
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Combinatorial interpretation and positivity of Kerov's character polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 Kerov's polynomials give irreducible character values of the symmetric group in term of the free cumulants of the associated Young diagram. Using a combinatorial approach with maps, we prove in this article a positivity result on their coefficients ...
Valentin Féray
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Cumulants of the q-semicircular law, Tutte polynomials, and heaps [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 The q-semicircular law as introduced by Bożejko and Speicher interpolates between the Gaussian law and the semicircular law, and its moments have a combinatorial interpretation in terms of matchings and crossings.
Matthieu Josuat-Vergès
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Free probability induced by electric resistance networks on energy Hilbert spaces [PDF]
Opuscula Mathematica, 2011 We show that a class of countable weighted graphs arising in the study of electric resistance networks (ERNs) are naturally associated with groupoids.
Ilwoo Cho, Palle E. T. Jorgensen
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