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Prodotti recenti

An optimal lower bound for the low density Fermi gas in three dimensions

We consider a dilute Fermi gas in three dimensions interacting through a positive, radially symmetric, compactly supported, and integrable potential in the thermodynamic limit. We establish a second-order lower bound for the ground-state energy density, with an error term that is optimal in the sense that it matches the order of the next correction term conjectured by Huang and Yang [Phys. Rev. 105, 767-775 (1957)]. Although a first rigorous derivation of the Huang-Yang formula has recently b...

The Huang-Yang formula for the low-density Fermi gas: upper bound

We study the ground state energy of a gas of spin (Formula presented.) fermions with repulsive short-range interactions. We derive an upper bound that agrees, at low density (Formula presented.), with the Huang–Yang conjecture. The latter captures the first three terms in an asymptotic low-density expansion, and in particular the Huang–Yang correction term of order (Formula presented.). Our trial state is constructed using an adaptation of the bosonic Bogoliubov theory to the Fermi system, wh...

The Medical Impact of Hepatitis D Virus Infection in Natives and Immigrants: The Italian Paradigm

Background and Aim Ongoing migratory flows are reconstituting the hepatitis D virus (HDV) reservoir in Italy. We aimed to characterise the current clinical and virologic features of HDV infection in both native Italians and migrants. Methods We enrolled 515 hepatitis B surface antigen (HBsAg)-positive patients with detectable anti-HDV antibodies from 32 Italian centres between August 2022 and July 2024; all patients underwent centralised virologic assessment. Results Overall, 432 out...

Triangulated categories with a single compact generator, and two Brown representability theorems

We generalize theorems of Bondal and Van den Bergh and of Rouquier. A corollary of our main results says the following. Let X be a scheme proper over a an excellent, finite-dimensional noetherian ring R. Then the Yoneda pairing, taking an object A in the category Dperf(X) and an object B in the category Dcohb(X), to the finite R–module Hom(A,B), gives an equivalence of Dcohb(X) with the category of finite R–linear homological functors H:Dperf(X)op⟶R–mod, and an equivalence of Dperf(X)op with ...

Decoding Psychosis Risk: Neuroanatomical Correlates of the NAPLS-2 Calculator in the PRONIA Cohort

Background Identifying neuroanatomical correlates of clinical prediction models may offer pathophysiological insights into the clinical high-risk states for psychosis (CHR-P) and unveil new therapeutic targets for early intervention. Study Design We used the North American Prodrome Longitudinal Study (NAPLS-2) risk calculator to obtain psychosis risk scores for 315 CHR-P (M = 23.85, SD = ± 5.64; female: 164) and 295 recent-onset depression (M = 25.11, SD = ± 6.21; female: 144) patients f...

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