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1. Recursive Prosody and the Prosodic Form of Compounds

   https://doi.org/10.3390/languages6020065  

   Ito, Junko; Mester, Armin (June 2021, Languages)

   null (Ed.)

   This paper investigates the role recursive structures play in prosody. In current understanding, phonological phrasing is computed by a general syntax–prosody mapping algorithm. Here, we are interested in recursive structure that arises in response to morphosyntactic structure that needs to be mapped. We investigate the types of recursive structures found in prosody, specifically: For a prosodic category κ, besides the adjunctive type of recursion κ[κ x], κ[x κ], is there also the coordinative type κ[κ κ]? Focusing on the prosodic forms of compounds in two typologically rather different languages, Danish and Japanese, we encounter three types of recursive word structures: coordinative ω[ω ω], left-adjunctive ω[f ω], right-adjunctive ω[ω f] and the strictly layered compound structure ω[f f]. In addition, two kinds of coordinative φ-compounds are found in Japanese, one with a non-recursive (strictly layered) structure φ[ω ω], a mono-phrasal compound consisting of two words, and one with coordinative recursion φ[φ φ], a bi-phrasal compound. A cross-linguistically rare type of post-syntactic compound has this biphrasal structure, a fact to be explained by its sentential origin. 

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2. Cross-correlation of the thermal Sunyaev-Zel’dovich and CMB lensing signals in Planck PR4 data with robust CIB decontamination

   https://doi.org/10.1103/PhysRevD.109.023529  

   McCarthy, Fiona; Hill, J Colin (January 2024, Physical Review D)

   We use the full-mission Planck PR4 data to measure the CMB lensing convergence (κ)-thermal Sunyaev-Zel'dovich (tSZ, y ) cross-correlation signal, Cℓyκ. This is only the second measurement to date of this signal, following Hill and Spergel [J. Cosmol. Astropart. Phys. 02 (2014) 030, 10.1088/1475-7516/2014/02/030]. We perform the measurement using foreground-cleaned tSZ maps built from the PR4 frequency maps via a tailored needlet internal linear combination (NILC) code in our companion paper [F. McCarthy and J. C. Hill, companion paper, Phys. Rev. D 109, 023528 (2024)., 10.1103/PhysRevD.109.023528], in combination with the Planck PR4 κ maps and various systematic-mitigated PR3 κ maps. A serious systematic is the residual cosmic infrared background (CIB) signal in the tSZ map, as the high CIB—κ cross-correlation can significantly bias the inferred tSZ—κ cross-correlation. We mitigate this contamination by deprojecting the CIB in our NILC algorithm, using a moment deprojection approach to avoid leakage due to incorrect modeling of the CIB frequency dependence. We validate this method on mm-wave sky simulations. We fit a theoretical halo model to our measurement, finding a best-fit amplitude of A =0.82 ±0.21 (for the highest signal-to-noise PR4 κ map) or A =0.56 ±0.24 (for a PR3 κ map built from a tSZ-deprojected CMB map), indicating that the data are consistent with our fiducial model within ≈1 -2 σ . Although our error bars are similar to those of the previous measurement [J. C. Hill and D. N. Spergel, J. Cosmol. Astropart. Phys. 02 (2014) 030, 10.1088/1475-7516/2014/02/030], our method is significantly more robust to CIB contamination. Our moment-deprojection approach lays the foundation for future measurements of this signal with higher signal-to-noise κ and y maps from ground-based telescopes, which will precisely probe the astrophysics of the intracluster medium of galaxy groups and clusters in the intermediate-mass (M ∼1013- 1014h-1M⊙), high-z (z ≲1.5 , c.f. z ≲0.8 for the tSZ auto-power signal) regime, as well as CIB-decontaminated measurements of tSZ cross-correlations with other large-scale structure probes. 

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3. Entanglement and interface conditions on fields

   https://doi.org/10.1103/PhysRevD.111.105027  

   Maj, Antonina; Nair, V P (May 2025, Physical Review D)

   We consider the vacuum wave function of a free scalar field theory in space partitioned into two regions, with the field obeying Robin conditions (of parameter $\kappa$) on the interface. A direct integration over fields in a subregion is carried out to obtain the reduced density matrix. This leads to a constructive proof of the Reeh-Schlieder theorem. We analyze the entanglement entropy as a function of the Robin parameter $\kappa$. We also consider a specific conditional probability as another measure of entanglement which is more amenable to analysis of the dependence on interface conditions. Finally, we discuss a direct calculation of correlation functions and how it gives an alternate route to the reduced density matrix. Published by the American Physical Society2025 

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4. Tensorization of the strong data processing inequality for quantum chi-square divergences

   https://doi.org/10.22331/q-2019-10-28-199  

   Cao, Yu; Lu, Jianfeng (October 2019, Quantum)

   It is well-known that any quantum channel E satisfies the data processing inequality (DPI), with respect to various divergences, e.g., quantum χ κ 2 divergences and quantum relative entropy. More specifically, the data processing inequality states that the divergence between two arbitrary quantum states ρ and σ does not increase under the action of any quantum channel E . For a fixed channel E and a state σ , the divergence between output states E ( ρ ) and E ( σ ) might be strictly smaller than the divergence between input states ρ and σ , which is characterized by the strong data processing inequality (SDPI). Among various input states ρ , the largest value of the rate of contraction is known as the SDPI constant. An important and widely studied property for classical channels is that SDPI constants tensorize. In this paper, we extend the tensorization property to the quantum regime: we establish the tensorization of SDPIs for the quantum χ κ 1 / 2 2 divergence for arbitrary quantum channels and also for a family of χ κ 2 divergences (with κ ≥ κ 1 / 2 ) for arbitrary quantum-classical channels. 

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5. Algorithmically Optimal Outer Measures

   https://doi.org/10.1145/3733607  

   Lutz, Jack H; Lutz, Neil (May 2025, ACM Transactions on Computation Theory)

   We investigate the relationship between algorithmic fractal dimensions and the classical local fractal dimensions of outer measures in Euclidean spaces. We introduce global and local optimality conditions for lower semicomputable outer measures. We prove that globally optimal outer measures exist. Our main theorem states that the classical local fractal dimensions of any locally optimal outer measure coincide exactly with the algorithmic fractal dimensions. Our proof uses an especially convenient locally optimal outer measureκdefined in terms of Kolmogorov complexity. We discuss implications for point-to-set principles. 

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