$HLBT hilbert

Latest papers

1. A prismatic Riemann-Hilbert correspondence math.AG · 14 Oct · 1 hit

   We study the category of constructible $p$-Kummer-\'{e}tale sheaves on the log adic generic fiber…

2. Cwikel estimates and Weyl's laws for $L\log L$ potentials on quantum tori math.OA · 14 Oct · 1 hit

   …the dimension, where $\lambda(x)$ is the left multiplication by $x$. The main ingredient is an abstract weak Hilbert--Schmidt estimate for multiplication operators in finite von Neumann algebras whose \(L_2\)-spaces…

3. Integral Specializations of Polynomials: Hilbert Irreducibility, Coprimality, and Density math.NT · 14 Oct · 3 hits

   The Hilbert specialization property of a field, whereby irreducibility of polynomials is preserved under…

4. The WKB Riemann-Hilbert Problem for the Painlev\'e I System math-ph · 14 Oct · 2 hits

   …jumps are identities for consistent column normalisations. We formulate the resulting normalised Riemann--Hilbert problem and prove its existence and uniqueness on the Borel domains of the construction. Finally,…

5. Unconventional quantum spin mixing of two spin-1 atoms beyond the single-mode approximation cond-mat.quant-gas · 14 Oct · 1 hit

   …theory, we achieve a relative error of $10^{-6}$ in the ground-state energy with a reduced effective Hilbert space dimension of $\sim 10^3$ for two spin-1 bosons confined in a one-dimensional hard-wall trap.…

6. Metric-Changing Quasi-Hermitian Quenches: Normalized Loschmidt Amplitude and Complex-Time Zeros quant-ph · 14 Oct · 1 hit

   …purification in the initial metric; this factor is essential for comparing states from different physical Hilbert spaces and directly encodes the metric mismatch. We prove that this normalization function is…

7. Convergence Rates of Gaussian Process Thompson Sampling for Efficient Global Optimization stat.ML · 14 Oct · 1 hit

   …sampling (GP-TS) under noiseless observations, assuming a fixed objective function in a reproducing kernel Hilbert space (RKHS). For Mat\'ern kernels with smoothness parameter $\nu$ in dimension $d$, we establish a…

8. Principal Component Analysis for Zero-Inflated Probability Measures via Lorenz Curves stat.ME · 14 Oct · 1 hit

   …transformation of the plane, a bijective embedding is defined to treat such measures as functional data in a Hilbert space. Once the random LC is embedded in this space, standard Functional Principal Component Analysis…