Research works

Strong-to-weak spontaneous symmetry breaking of higher-form noninvertible symmetries in Kitaev’s quantum double model

Topological orders can be understood as spontaneous symmetry breaking of higher-form symmetries. In the non-abelian case, the broken higher-form symmetries are notably non-invertible. In this work, we extend this framework to mixed states, where symmetries can be either strong or...

Entanglement and apparent thermality in simulated black holes

We investigate the apparent thermality of Hawking radiation in the semi-classical limit of quantum black holes using the mean-field limit of a chiral spin-chain simulator, which models fermions propagating on a black hole space-time in the continuum. In this free-theory regime, n...

Fully mixed virtual element schemes for a new model of steady-state poroelastic stress-assisted diffusion in the brain

We propose a fully mixed virtual element method for the numerical approximation of the coupling between linear poroelasticity equations with strong symmetry of total poroelastic stress (using the Hellinger--Reissner principle) and stress-altered solute diffusion (where diffusive...

Estimating relapse time distribution from longitudinal biomarker trajectories using iterative regression and continuous time Markov processes

Abstract Biomarker measurements obtained by blood sampling are often used as a non-invasive means of monitoring tumour progression in cancer patients. Diseases evolve dynamically over time, and studying longitudinal observations of specific biomarkers can help to understand patie...

Bayesian local clustering of functional data via semi-Markovian random partitions

We introduce a Bayesian framework for indirect local clustering of functional data, leveraging B-spline basis expansions and a novel dependent random partition model. By exploiting the local support properties of B-splines, our approach allows partially coincident functional beha...

Laboratory Measurements of Energy Partitioning and Anomalous Electron Heating in Magnetized, Perpendicular Collisionless Shocks

Abstract We present laboratory results on energy partitioning from supercritical, magnetized collisionless shock experiments ( M A ∼ 8, M ms ∼ 4). We report the first observation of fully developed laboratory shocks that evolve for more than seven upstream ion gyroperiods and hav...

Optimizing optimal transport: Role of final distributions in finite-time thermodynamics

Performing thermodynamic tasks within finite time while minimizing thermodynamic costs is a central challenge in stochastic thermodynamics. Here, we develop a unified framework for optimizing the thermodynamic cost of performing various tasks in finite time for overdamped Langevi...

A birational map of a projective space whose intermediate dynamical degrees are all transcendental

Abstract We construct a birational map of P d $\mathbb {P}^d$ double struck upper P Superscript d ( d ≥ 6 $d\geq 6$ d greater than or equals 6 ) whose intermediate dynamical degrees are all transcendental.

Parabolic quantum affine algebras

Maximal parabolic subalgebras of untwisted affine Kac-Moody algebras were studied in the context of Borel-de Siebenthal theory in [13], where they were realized as certain equivariant map algebras with a non-free abelian group action. In this paper, we show that this perspective...

Discrete-Time Periodic Monotonicity Preserving Systems

Abstract. Two nested classes of discrete-time linear time-invariant systems, which differ by the set of periodic signals that they leave invariant, are studied. The first class preserves the property of periodic monotonicity (i.e., period-wise unimodality). The second class is in...

Designing dynamic pricing for bike-sharing systems via differentiable agent-based simulation

Abstract Bike-sharing systems are emerging in various cities as new eco-friendly transportation systems. In these systems, spatiotemporally varying user trip demand leads to imbalances in inventory at bicycle stations, resulting in additional relocation costs. Therefore, user tri...

Unified toolbox for multipartite entanglement certification

We present a unified framework for multipartite entanglement characterization based on the conditional gradient (CG) method, incorporating both fast heuristic detection and rigorous witness construction with numerical error control. Our method enables entanglement certification i...

DRtool: An Interactive Tool for Analyzing High-Dimensional Clusterings

When faced with new data, we often conduct a cluster analysis to obtain a better understanding of the data's structure and the archetypical samples present in the data. However, the increases in data complexity and dimensionality have made this step very tricky. The large proport...

Reduced-Order Modeling of Hamiltonian Dynamics Based on Symplectic Neural Networks

Abstract. We introduce a novel data-driven symplectic reduced-order modeling (ROM) framework for high-dimensional Hamiltonian systems that unifies latent-space discovery and dynamics learning within a single, end-to-end neural architecture. The encoder–decoder is built from Hénon...

On Poincaré surgery

Abstract We exhibit a homotopy‐theoretic proof of the fundamental theorem of Poincaré surgery in the simply connected case. We also deduce the Poincaré transversality exact sequence.

Quantum undetected optical projection tomography

Dataset of quantum optical projection tomography. Each sub-folder contains a series of images representing a phase scan taken at one orientation angle of the subject (angle is given in the subfolder name - in degrees).

Influence Maximization on Temporal Networks with Persistent and Reactive Behaviors

Influence Maximization (IM) aims to identify a set of \(k\) seed nodes in a network that maximizes information spread, with applications in viral marketing, epidemic containment, and behavioral targeting. While most prior work assumes static networks, real-world networks are inhe...

Limits of harmonic functions on $\mathbb{Z}^{d}$

We give an example of a sequence of positive harmonic functions on \mathbb{Z}^{d} , d\geq 2 , that converges pointwise to a non-harmonic function.

Characterisation and modelling of lightning strokes as point events in time and space

Abstract. Lightning is a spatio-temporal phenomenon comprised of individual strikes with specific occurrence times and spatial coordinates. This study models and characterises lightning strikes from single thunderstorms, treating each strike as a point event. Utilising real-world...

Berry curvature induced spin Nernst and thermal Edelstein effects in proximity superconductors

We propose two thermo-spintronic responses in proximity induced superconductors with spin-orbit coupled band - spin Nernst effect and thermal Edelstein effect stemming respectively from momentum-space and mixed superconducting Berry curvatures. We unveil that the Bloch band spin-...