Research works

Electroluminescence from bound excitons in silicon

We demonstrate a signature of bound-exciton emission in the electroluminescence spectra of wafer-bonded silicon p–n junction, along with the more common free-exciton emissions. The emission is driven by the electric current through a p–n junction formed by direct bonding of p-typ...

DIAMONDS AND DOMINOES: IMPOSSIBILITY RESULTS FOR ASSOCIATIVE MODAL LOGICS

Abstract We show that for any class of Boolean algebras with an associative operator, if it contains the complex algebra of ( P ( N ) , ∪ ) $(\mathcal {P}(\mathbb {N}), \cup )$ left parenthesis script upper P left parenthesis double struck upper N right parenthesis comma union ri...

Rao-Blackwellized e-variables

Summary We show that for any concave utility, the expected utility of an e-variable can only increase after conditioning on a sufficient statistic, echoing the classic Rao-Blackwell theorem. The simplest form of the result has a straightforward proof using Jensen’s inequality, bu...

Cosmological Constraints from Full-scale Clustering and Galaxy–Galaxy Lensing with DESI DR1

Abstract We present constraints on cosmic structure growth from the analysis of galaxy clustering and galaxy–galaxy lensing with galaxies from the Dark Energy Spectroscopic Instrument (DESI) Data Release 1. Our analysis includes four samples drawn from the Bright Galaxy Survey (B...

A performance-based multivariable weighting framework for WRF parameterization-scheme selection

Abstract. The selection of optimal physical parameterization schemes is a major source of uncertainty in WRF model simulations. A comprehensive evaluation of model performance requires simultaneous consideration of multiple output variables. However, existing multivariate approac...

Magic state cultivation on a superconducting quantum processor

Fault-tolerant quantum computing requires a universal gate set, but the necessary non-Clifford gates represent a significant resource cost for most quantum error correction architectures. Magic state cultivation offers an efficient alternative to resource-intensive distillation p...

Rapid multi-mode trapped-ion laser cooling in a phase-stable standing wave

Laser cooling is fundamental to quantum computing and metrology using atomic systems. Precise control often requires cooling atoms' motional degrees of freedom to the quantum ground state, imposing operation time and architectural limitations particularly in large-scale systems....

Almost sure asymptotics for the number variance of dilations of integer sequences

Let $(x_n)_{n=1}^\infty$ be a sequence of integers. We study the number variance of dilations $(αx_n)_{n=1}^\infty$ modulo 1 in intervals of length $S$, and establish pseudorandom (Poissonian) behavior for Lebesgue-almost all $α$ throughout a large range of $S$, subject to certai...

Active Visual Perception: Opportunities and Challenges

Active visual perception enables an intelligent system to improve perception by controlling how visual evidence is acquired. However, differences in how studies define active perception and evaluate its benefits make approaches difficult to compare across tasks. This review first...

EXTENDING CONCEPTUAL COMPLETENESS VIA VIRTUAL ULTRACATEGORIES

Abstract We introduce the notion of virtual ultracategory. From a topological point of view, this notion can be seen as a categorification of relational β $\beta $ beta -modules. From a categorical point of view, virtual ultracategories generalize ultracategories in the same way...

The Stability of Current Vortex Sheets with Transverse Magnetic Field

We study a symmetric class of three-dimensional compressible current-vortex sheets for which the basic velocity is tangential to the interface and the basic magnetic field is tangential to the interface but transverse to the velocity. Restricting to perturbations that are indepen...

A Machine Learning Framework for Objective Definition and Projection of Meteorological Seasons: An Application to the Indian Subcontinent

Abstract Meteorological seasons are typically defined through fixed calendar intervals or region‐specific thresholds, yet such approaches fail to capture the actual variability of the annual cycle. Here we present a machine learning framework that objectively detects meteorologic...

PROOF-THEORETIC RELATIONS BETWEEN HIGMAN’S AND KRUSKAL’S THEOREM, AND INDEPENDENCE RESULTS FOR TREE-LIKE STRUCTURES

Abstract Higman’s lemma and Kruskal’s theorem are two of the most celebrated results in the theory of well quasi-orders. In his seminal paper G. Higman obtained what is known as Higman’s lemma as a corollary of a more general theorem, dubbed here as Higman’s theorem. While the le...

Rare Event Simulation of Quantum Error-Correcting Circuits

We describe a practical approach for accessing the logical failure rates of quantum error-correcting (QEC) circuits under low physical (component) failure rate regimes. Standard Monte Carlo is often the de facto approach for studying the failure rates of quantum circuits. However...

Subspace Accelerated Measure Transport Methods for Fast and Scalable Sequential Experimental Design, with Application to Photoacoustic Imaging

Abstract. We propose a novel approach for sequential optimal experimental design (sOED) for Bayesian inverse problems involving expensive models with high-dimensional unknown parameters. This work focuses on designs that maximize the expected information gain (EIG) from prior to...

Spheres with parallel mean curvature in $\mathbb{S}^{2}\times \mathbb{H}^{2}$

It is known that a surface with parallel mean curvature vector field in a Riemannian product of two surfaces of constant Gaussian curvature carries a holomorphic quadratic differential. In this paper, we consider the Riemannian product of a sphere and a hyperbolic plane of opposi...

On fixed points of pseudo-Anosov maps

We give a formula to estimate the number of fixed points of a pseudo-Anosov homeomorphism of a surface. When the homeomorphism satisfies a mild property called strong irreducibility , the log of the number of fixed points is coarsely equal to the Teichmüller translation length. W...

On the blow-up of solutions to a Nakao-type problem with a time-dependent damping term

In this paper, we study a semilinear weakly coupled system of wave equations with power nonlinearities. More precisely, we couple (through the nonlinear terms) a wave equation and a damped wave equation with a time-dependent coefficient for the damping term. For the coefficient o...

Fate and origin of the quantum Otto heat engine based on the dissipative Dicke-Hubbard model

The Dicke-Hubbard model, describing an ensemble of interacting atoms in a cavity, provides a rich platform for exploring collective quantum phenomena. However, its potential for quantum thermodynamic applications remains largely uncharted. Here, we study a quantum Otto heat engin...

Data-driven discrete geofence design using binary quadratic programming

Abstract Geofences have attracted significant attention in the design of spatial and virtual regions for managing and triggering spatiotemporal events; for example, content providers can trigger spatiotemporal events through mobile devices. Traditionally, geofences were hand-craf...