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• #### Sparse domination theorem for multilinear singular integral operators with $L^{r}$-Hörmander condition ﻿

(Michigan Mathematical Journal, 2017-04-01)
In this note, we show that if $T$ is a multilinear singular integral operator associated with a kernel satisfies the so-called multilinear $L^{r}$-Hörmander condition, then $T$ can be dominated by multilinear sparse operators.
• #### Reexamination of continuous fuzzy measurement on two-level systems ﻿

(PHYSICAL REVIEW A, 2017-04-10)
Imposing restrictions on the Feynman paths of the monitored system has in the past been proposed as a universal model-free approach to continuous quantum measurements. Here we revisit this proposition and demonstrate that ...
• #### Criterion for logarithmic connections with prescribed residues ﻿

(Manucripta Mathematica, 2017-04-01)
A theorem of Weil and Atiyah says that a holomorphic vector bundle $E$ on a compact Riemann surface $X$ admits a holomorphic connection if and only if the degree of every direct summand of $E$ is zero. Fix a finite subset ...
• #### A Short Survey on the Integral Identity Conjecture and Theories of Motivic Integration ﻿

(Acta Mathematica Vietnamica, 2017-04-04)
In Kontsevich-Soibelman’s theory of motivic Donaldson-Thomas invariants for 3-dimensional noncommutative Calabi-Yau varieties, the integral identity conjecture plays a crucial role as it involves the existence of these ...
• #### Modelling spatial trends in sorghum breeding field trials using a two-dimensional P-spline mixed model ﻿

(Theoretical and Applied Genetics, 2017-04-03)
Adjustment for spatial trends in plant breeding field trials is essential for efficient evaluation and selection of genotypes. Current mixed model methods of spatial analysis are based on a multi-step modelling process ...