Browsing Mathematics by Title
Now showing items 1364-1383 of 1478
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Time-dependent wave equations on graded groups
(Springer, 2021-02)In this paper we consider the wave equations for hypoelliptic homogeneous left-invariant operators on graded Lie groups with time-dependent H\"older propagation speeds. The examples are the time-dependent wave equation for ... -
A Topological Criterion for Filtering Information in Complex Brain Networks.
(2017-01)In many biological systems, the network of interactions between the elements can only be inferred from experimental measurements. In neuroscience, non-invasive imaging tools are extensively used to derive either structural ... -
The topological Dirac equation of networks and simplicial complexes
(IOP Publishing, 2021-09-14)We define the topological Dirac equation describing the evolution of a topological wave function on networks or on simplicial complexes. On networks, the topological wave function describes the dynamics of topological ... -
Topological embeddings into random 2-complexes
(2021-01-06) -
Topological percolation on hyperbolic simplicial complexes
(2018-11-21) -
A topological perspective on weather regimes
(Springer, 2022-07-06)It has long been suggested that the mid-latitude atmospheric circulation possesses what has come to be known as `weather regimes', loosely categorised as regions of phase space with above-average density and/or extended ... -
Topological rigidity of linear cellular automaton shifts
(Elsevier, 2018-07-11) -
topological techniques in model selection
(New York Business Global, Maryland, UK, 2023-05-04)This paper is concerned with enhancing the performance of Lasso for squarefree hierarchical polynomial models. We propose a compound crite- rion that combines validation error with a measure of model complexity, and the ... -
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 ... -
Topology of parametrised motion planning algorithms
(Society for Industrial and Applied Mathematics, 2021)We introduce and study a new concept of parameterised topological complexity, a topological invariant motivated by the motion planning problem of robotics. In the parametrised setting, a motion planning algorithm has high ... -
Torsion-free S-adic shifts and their spectrum
(Instytut Matematyczny, 2023-09-04)In this work we study S-adic shifts generated by sequences of morphisms that are constant-length. We call a sequence of constant- length morphisms torsion-free if any prime divisor of one of the lengths is a divisor of ... -
Totally ergodic matrix equilibrium states have the Bernoulli property
We show that every totally ergodic generalised matrix equilibrium state is psi-mixing with respect to the natural partition into cylinders and hence is measurably isomorphic to a Bernoulli shift in its natural extension. ... -
Toward simulating superstring/M-theory on a quantum computer
(Springer Nature, 2021-07) -
Tower of subleading dual BMS charges
(Springer Verlag (Germany), 2019)We supplement the recently found dual gravitational charges with dual charges for the whole BMS symmetry algebra. Furthermore, we extend the dual charges away from null infinity, defining subleading dual charges. These ... -
Traffic Prediction and Random Access Control Optimization: Learning and Non-Learning-Based Approaches
(2021-03-01)© 2021 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or ... -
Transfer operator approach to ray-tracing in circular domains
(2020-11)The computation of wave-energy distributions in the mid-to-high frequency regime can be reduced to ray-tracing calculations. Solving the ray-tracing problem in terms of an operator equation for the energy density leads to ... -
Transition to anomalous dynamics in a simple random map
(2023-08-18)