School of Mathematical Sciences: Recent submissions
Now showing items 161-180 of 1693
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Unsupervised Geometric and Topological Approaches for Cross-Lingual Sentence Representation and Comparison
(Association for Computational Linguistics, 2022-05)We propose novel structural-based approaches for the generation and comparison of cross lingual sentence representations. We do so by applying geometric and topological methods to analyze the structure of sentences, as ... -
Zoo Guide to Network Embedding
(IOP Publishing, 2023)Networks have provided extremely successful models of data and complex systems. Yet, as combinatorial objects, networks do not have in general intrinsic coordinates and do not typically lie in an ambient space. The process ... -
Cluster Persistence for Weighted Graphs.
(2023-11-26)Persistent homology is a natural tool for probing the topological characteristics of weighted graphs, essentially focusing on their 0-dimensional homology. While this area has been thoroughly studied, we present a new ... -
Transition to anomalous dynamics in a simple random map
(American Institute of Physics, 2024-02-20)The famous doubling map (or dyadic transformation) is perhaps the simplest deterministic dynamical system exhibiting chaotic dynamics. It is a piecewise linear time-discrete map on the unit interval with a uniform slope ... -
The discreet charm of the discrete series in dS2
(IOP Publishing, 2024-01-12) -
Quantum geodesic flow on the integer lattice line
(2023-09-26) -
Stalled response near thermal equilibrium in periodically driven systems.
(2024-01-04)The question of how systems respond to perturbations is ubiquitous in physics. Predicting this response for large classes of systems becomes particularly challenging if many degrees of freedom are involved and linear ... -
Gröbner bases, symmetric matrices, and type C Kazhdan-Lusztig varieties
(Wiley, 2023)We study a class of combinatorially-defined polynomial ideals which are generated by minors of a generic symmetric matrix. Included within this class are the symmetric determinantal ideals, the symmetric ladder determinantal ... -
Reputation formation and reinforcement of biases in a post-truth world
(2023-11-01)A potentially biased expert transmits information about a binary state to a decision maker over two periods. The expert is imperfectly informed and is concerned about her reputation for unbiasedness. The decision maker ... -
Topology and dynamics of higher-order multiplex networks
(Elsevier, 2023-11)Higher-order networks are gaining significant scientific attention due to their ability to encode the many-body interactions present in complex systems. However, higher-order networks have the limitation that they only ... -
Dirac signal processing of higher-order topological signals
(2023)Higher-order networks can sustain topological signals which are variables associated not only to the nodes, but also to the links, to the triangles and in general to the higher dimensional simplices of simplicial complexes. ... -
Applications of analytic newvectors for GL (n)
(2021-08-01)We provide a few natural applications of the analytic newvectors, initiated in Jana and Nelson (Analytic newvectors for GL n(R) , arXiv:1911.01880 [math.NT], 2019), to some analytic questions in automorphic forms for PGL ... -
Supnorm of an eigenfunction of finitely many Hecke operators
(Springer Nature, 2019-04) -
The second moment of GL(n) × GL(n) Rankin-Selberg L-functions
(2022-06-23)We prove an asymptotic expansion of the second moment of the central values of the GL(n) × GL(n) Rankin-Selberg L-functions L(1/2, π ⊗ π0) for a fixed cuspidal automorphic representation over the family of with analytic ...