S1S^1-equivariant Index theorems and Morse inequalities on complex manifolds with boundary

Let $M$ be a complex manifold of dimension $n$ with smooth connected boundary $X$. Assume that $\overline M$ admits a holomorphic $S^1$-action preserving the boundary $X$ and the $S^1$-action is transversal on $X$. We show that the $\overline\partial$-Neumann Laplacian on $M$ is transversally elliptic and as a consequence, the $m$-th Fourier component of the $q$-th Dolbeault cohomology group $H^q_m(\overline M)$ is finite dimensional, for every $m\in\mathbb Z$ and every $q=0,1,\ldots,n$. This enables us to define $\sum^{n}_{j=0}(-1)^j{\rm dim\,}H^q_m(\overline M)$ the $m$-th Fourier component of the Euler characteristic on $M$ and to study large $m$-behavior of $H^q_m(\overline M)$. In this paper, we establish an index formula for $\sum^{n}_{j=0}(-1)^j{\rm dim\,}H^q_m(\overline M)$ and Morse inequalities for $H^q_m(\overline M)$.Comment: 39 page

Searching for the signal of dark matter and photon associated production at the LHC beyond leading order

We study the signal of dark matter and photon associated production induced by the vector and axial-vector operators at the LHC, including the QCD next-to-leading order (NLO) effects. We find that the QCD NLO corrections reduce the dependence of the total cross sections on the factorization and renormalization scales, and the $K$ factors increase with the increasing of the dark matter mass, which can be as large as about 1.3 for both the vector and axial-vector operators. Using our QCD NLO results, we improve the constraints on the new physics scale from the results of the recent CMS experiment. Moreover, we show the Monte Carlo simulation results for detecting the \gamma+\Slash{E}_{T} signal at the QCD NLO level, and present the integrated luminosity needed for a $5\sigma$ discovery at the 14 TeV LHC . If the signal is not observed, the lower limit on the new physics scale can be set.Comment: 19 pages, 18 figures, 2 tables, version published in Phys.Rev.

Phenomenology of an Extended Higgs Portal Inflation Model after Planck 2013

We consider an extended inflation model in the frame of Higgs portal model, assuming a nonminimal coupling of the scalar field to the gravity. Using the new data from Planck $2013$ and other relevant astrophysical data, we obtain the relation between the nonminimal coupling $\xi$ and the self-coupling $\lambda$ needed to drive the inflation, and find that this inflationary model is favored by the astrophysical data. Furthermore, we discuss the constraints on the model parameters from the experiments of particle physics, especially the recent Higgs data at the LHC.Comment: 21 pages, 8 figures; Version published in EPJ

Baroque cities? The concept of scale in global urban centres, with particular reference to the Xin-Yi Planning District of Taipei

One prominent consequence of globalization has been rapid urbanization and the formation of extremely large cities. In East Asia, such cities are not only large, but have blurred edge conditions and are increasingly difficult to distinguish from their once rural hinterlands, are usually fragmented in form, and simultaneously juxtapose different scales of physical things such as buildings and infrastructures, and economic and social networks that thread through them. The aim of this thesis is to explore these kinds of globalized cities in East Asia, and focuses on the city of Taipei in particular. The thesis identifies a set of conceptual and methodological limitations in conventional approaches to studying these contemporary urban conditions of such cities. The thesis argues that new ways of thinking through the concept of scale is essential to properly understanding the large, globalized cities of East Asia. The thesis works through the issue of multiple and co-present scales. It suggests that different kinds of ‘bigness’ and ‘smallness’ coexist, and that this coexistence is central to the experience of such cities. With a special focus on the city of Taipei, Taiwan’s largest city, the thesis indicates that cities that appear to be merely ‘big’ urban formations disguise many overlooked global ‘middling’ (Sassen, 2007a) and ‘small’ conditions that emerge from their struggle with their post-war urban reconstruction and the emergence of globally networked urban logics. The conditions of Taipei register the contextual specificity to the importance of thinking in a multi-scalar way. The theoretical framework of the thesis is grounded in re-examining the idea of scale within the particular fields of architecture, geography and urban studies. The concept of a hierarchically-nested scale has been a dominant approach to scalar conceptualization in these fields for a number of decades. However, the thesis argues that this linear approach has been weakened by its limited abilities to respond to the more complex and multiscalar processes that crucially inform the big urban formations in the context of globalization. Drawing from the critiques of The Fold (Deleuze, 1993; Wölfflin, 1986) and the concept of ‘flatness’ (Latour, 2005; Law, 2004; Marston, 2005), as well as critical work on place significance (Sassen, 2007a), the thesis proposes a ‘Baroque’ alternative to these conventional theorizations of urban scale. In order to offer an enabling approach to cities such as Taipei, the thesis argues this ‘Baroque’, used here in a quite specific sense, as a way of appreciating the multi-scalar nature of such cities, and as a means of developing a methodology by which to better appreciate and understand them. The thesis develops this ‘Baroque’-inspired methodology by examining five socio-spatial practices at different scales which have been selected to represent multi-scalar characteristics in the Xin-Yi planning district of central Taipei which is formed by a globally networked urban logic. The thesis concludes by proposing the idea of the ‘Baroque City’ as a more suggestive, multi-dimensional approach to capturing the richness of the contemporary urban scale of cities. It is intended that this will not only support investigations of East Asian cities, but also enhance architectural engagements with such dynamically complex and multi-scalar conditions of global urban centres

A Compact Coupled-Fed Loop Antenna for Mobile LTE Smartphones

A coupled-fed loop antenna with Octa-bands operation for long-term evolution (LTE) smartphones is proposed in this paper. The antenna occupies a nonground space of only 6.5 mm × 72 mm, and two wide-band operations can be achieved by exploiting the multimode characteristics of loop antenna and using high-pass matching circuits. In low band, the LTE700/GSM850/900 operation is achieved by the loop mode of 0.5 λ and matching chip capacitor which generates a dual-resonance mode at 0.74 GHz and 0.9 GHz. In high band, the 1 λ mode, the 1.5 λ mode, and the 2 λ mode of the entire loop are combined with the 0.5 λ mode of the left-side coupling loop to cover the DCS1800/PCS1900/UMTS 2100/LTE 2300/2500 operation bands. The measured average realized gains and efficiencies are approximately 1.56 dBi/2.38 dBi and 55.3%/63.6% in the two bands, and a good radiation pattern is achieved as well

UniX-Encoder: A Universal XX-Channel Speech Encoder for Ad-Hoc Microphone Array Speech Processing

The speech field is evolving to solve more challenging scenarios, such as multi-channel recordings with multiple simultaneous talkers. Given the many types of microphone setups out there, we present the UniX-Encoder. It's a universal encoder designed for multiple tasks, and worked with any microphone array, in both solo and multi-talker environments. Our research enhances previous multi-channel speech processing efforts in four key areas: 1) Adaptability: Contrasting traditional models constrained to certain microphone array configurations, our encoder is universally compatible. 2) Multi-Task Capability: Beyond the single-task focus of previous systems, UniX-Encoder acts as a robust upstream model, adeptly extracting features for diverse tasks including ASR and speaker recognition. 3) Self-Supervised Training: The encoder is trained without requiring labeled multi-channel data. 4) End-to-End Integration: In contrast to models that first beamform then process single-channels, our encoder offers an end-to-end solution, bypassing explicit beamforming or separation. To validate its effectiveness, we tested the UniX-Encoder on a synthetic multi-channel dataset from the LibriSpeech corpus. Across tasks like speech recognition and speaker diarization, our encoder consistently outperformed combinations like the WavLM model with the BeamformIt frontend.Comment: Submitted to ICASSP 202

A Human Eye-based Text Color Scheme Generation Method for Image Synthesis

Synthetic data used for scene text detection and recognition tasks have proven effective. However, there are still two problems: First, the color schemes used for text coloring in the existing methods are relatively fixed color key-value pairs learned from real datasets. The dirty data in real datasets may cause the problem that the colors of text and background are too similar to be distinguished from each other. Second, the generated texts are uniformly limited to the same depth of a picture, while there are special cases in the real world that text may appear across depths. To address these problems, in this paper we design a novel method to generate color schemes, which are consistent with the characteristics of human eyes to observe things. The advantages of our method are as follows: (1) overcomes the color confusion problem between text and background caused by dirty data; (2) the texts generated are allowed to appear in most locations of any image, even across depths; (3) avoids analyzing the depth of background, such that the performance of our method exceeds the state-of-the-art methods; (4) the speed of generating images is fast, nearly one picture generated per three milliseconds. The effectiveness of our method is verified on several public datasets.Comment: Accepted by EITCE 2022, No.QJE77JVOL