3 papers
math.CT2026
Weight filtrations via slopes
Carolyn Echter
Mixed structures and their weight filtrations appear in various contexts, prominently Hodge theory and the theory of Galois representations. In the setting of André's formalisatio…
cond-mat.quant-gas2025
Many-body density of states of bosonic and fermionic gases: a combinatorial approach
Carolyn Echter, Georg Maier, Juan-Diego Urbina +2
We use a combinatorial approach to obtain exact expressions for the many-body density of states of fermionic and bosonic gases with equally spaced single-particle spectra. We ident…
cond-mat.quant-gas2025
Ensemble-averaged mean-field many-body level density: an indicator of integrable versus chaotic single-particle dynamics
Georg Maier, Carolyn Echter, Juan Diego Urbina +2
According to the quantum chaos paradigm, the nature of a system's classical dynamics, whether integrable or chaotic, is universally reflected in the fluctuations of its quantum spe…