Results 131 to 140 of about 1,410 (194)

The Huang–Yang Formula for the Low‐Density Fermi Gas: Upper Bound

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1919-1972, August 2026.
ABSTRACT We study the ground state energy of a gas of spin 1/2$1/2$ fermions with repulsive short‐range interactions. We derive an upper bound that agrees, at low density ϱ$\varrho$, 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
Emanuela L. Giacomelli   +3 more
wiley   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Intraday Functional PCA Forecasting of Cryptocurrency Returns

open access: yesJournal of Forecasting, Volume 45, Issue 5, Page 2186-2212, August 2026.
ABSTRACT We study the functional PCA (FPCA) forecasting method in application to functions of intraday returns on Bitcoin. We show that improved interval forecasts of future return functions are obtained when the conditional heteroscedasticity of return functions is taken into account.
Joann Jasiak, Cheng Zhong
wiley   +1 more source

Finite‐Block Polynomial and Volterra Structure in Reservoir Computing

open access: yesNumerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT Reservoir computing is analyzed through the algebraic structure generated by finite‐width reservoirs on fixed input blocks. For linear and quadratic logistic activations, the induced input‐to‐state map admits an exact finite Volterra representation, yielding an explicit characterization of the associated hypothesis class.
Alfio Borzì
wiley   +1 more source

Defensive Strategies and Handling Paths in Intimate Relationship Conflicts: A Dynamic Game Model From the Perspective of Emotional Regulation

open access: yesPsyCh Journal, Volume 15, Issue 4, August 2026.
ABSTRACT This study develops a dynamic game model of intimate relationship conflicts that incorporates emotion regulation mechanisms, translating cognitive reappraisal and expressive suppression into strategic parameters. The model simulates the dynamic evolution of defensive strategies and intervention paths, capturing the continuous interplay between
Yiwen Liu
wiley   +1 more source

The Potential of Ensemble‐Based Automated Sleep Staging on Single‐Channel EEG Signal From a Wearable Device

open access: yesJournal of Sleep Research, Volume 35, Issue 4, August 2026.
ABSTRACT Machine‐learning‐based sleep staging models have achieved expert‐level performance on standard polysomnographic (PSG) data. However, their application to EEG recorded by wearable devices remains limited by non‐conventional referencing montage and the lack of benchmarking against PSG.
Federico Salfi   +6 more
wiley   +1 more source

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