Mathematics
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Mass equidistribution for Saito-Kurokawa lifts
(Springer, 2024)Let F be a holomorphic cuspidal Hecke eigenform for Sp4 (Z) of weight k that is a Saito–Kurokawa lift. Assuming the Generalized Riemann Hypothesis (GRH), we prove that the mass of F equidistributes on the Siegel modular ... -
Well-posedness for a class of pseudo-differential hyperbolic equations on the torus
(Springer, 2024)In this paper we establish the well-posedness of the Cauchy problem for a class of pseudo-differential hyperbolic equations on the torus. The class considered here includes a space-like fractional order Laplacians. By ... -
Quantization of the energy for the inhomogeneous Allen–Cahn mean curvature
(2024-01-01)We consider the varifold associated to the Allen–Cahn phase transition problem in Rn+1(or n+1-dimensional Riemannian manifolds with bounded curvature) with integral Lq0 bounds on the Allen–Cahn mean curvature (first variation ... -
Complex Quantum Networks: A Topical Review
(IOP Publishing, 2024-05-24)These are exciting times for quantum physics as new quantum technologies are expected to soon transform computing at an unprecedented level. Simultaneously network science is flourishing proving an ideal mathematical and ... -
Bayesian Markov-Switching Tensor Regression for Time-Varying Networks
(Taylor & Francis, 2022-09-20)Modeling time series of multilayer network data is challenging due to the peculiar characteristics of real-world networks, such as sparsity and abrupt structural changes. Moreover, the impact of external factors on the ... -
Equality, Diversity and Inclusion in the Mathematics Community: A Perspective on Data and Policy
(Cambridge University Press, 2024-06-04)Equality, Diversity and Inclusion (EDI) questions have taken on increasing importance within the mathematics community recently and generated substantial debate. This article focuses on data collection, data analysis and ... -
Robust Inverse Regression for Multivariate Elliptical Functional Data
(Academia Sinica, Institute of Statistical Science, 2024) -
Higher-order correlations reveal complex memory in temporal hypergraphs.
(Nature Research, 2024-06-04) -
Morse Theory for the k-NN Distance Function
(arXiv, 2024)We study the k-th nearest neighbor distance function from a finite point-set in Rd. We provide a Morse theoretic framework to analyze the sub-level set topology. In particular, we present a simple combinatorial-geometric ... -
LOW-RANK EXTENDED KALMAN FILTERING FOR ONLINE LEARNING OF NEURAL NETWORKS FROM STREAMING DATA
(Proceedings of Machine Learning Research, 2023-01-01)We propose an efficient online approximate Bayesian inference algorithm for estimating the parameters of a nonlinear function from a potentially non-stationary data stream. The method is based on the extended Kalman filter ... -
First passage time analysis of spatial mutation patterns reveals sub-clonal evolutionary dynamics in colorectal cancer.
(Public Library of Science, 2023-03-13)The signature of early cancer dynamics on the spatial arrangement of tumour cells is poorly understood, and yet could encode information about how sub-clones grew within the expanding tumour. Novel methods of quantifying ... -
Network science Ising states of matter.
(American Physical Society, 2023) -
Cell migration: Beyond Brownian motion.
(2024-04-17) -
On topological bound states and secular equations for quantum-graph eigenvalues
(EMS Press, 2024)Quantum graphs without interaction which contain equilateral cycles possess “topological” bound states which do not correspond to zeros of one of the two variants of the secular equation for quantum graphs. Instead, their ...