Mathematics: Recent submissions
Now showing items 161-180 of 1478
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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 ... -
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) -
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 ... -
Joint equidistribution on the product of the circle and the unit cotangent bundle of the modular surface
(2021-09-01)We use spectral method to prove a joint equidistribution of primitive rational points and the same along expanding horocycle orbits in the products of the circle and the unit cotangent bundle of the modular surface. This ... -
Ray-Tracing the Ulam Way
(Springer Nature, 2023)Ray-tracing is a well established approach for modelling wave propagation at high frequencies, in which the ray trajectories are defined by a Hamiltonian system of ODEs. An approximation of the wave amplitude is then derived ... -
Quantum geodesics in quantum mechanics
(2019-12-23) -
Universal Poisson statistics of a passive tracer diffusing in dilute active suspensions.
(2023-12-12)The statistics of a passive tracer immersed in a suspension of active particles (swimmers) is derived from first principles by considering a perturbative expansion of the tracer interaction with the microscopic swimmer ... -
The mass of simple and higher-order networks
(IOP Publishing, 2023-12-05)