Accumulated spectrograms for hyperuniform determinantal point processes
We define the accumulated spectrogram associated to a locally trace class orthogonal
projection operator and to a bounded set using the polar decomposition of its restriction on …
projection operator and to a bounded set using the polar decomposition of its restriction on …
Conditional measures of determinantal point processes
AI Bufetov - arXiv preprint arXiv:1605.01400, 2016 - arxiv.org
For a class of one-dimensional determinantal point processes including those induced by
orthogonal projections with integrable kernels satisfying a growth condition, it is proved that …
orthogonal projections with integrable kernels satisfying a growth condition, it is proved that …
Conditional measures of determinantal point processes
AI Bufetov - Functional Analysis and Its Applications, 2020 - Springer
Given one-dimensional determinantal point processes induced by orthogonal projections
with integrable kernels satisfying a certain growth condition, it is proved that their conditional …
with integrable kernels satisfying a certain growth condition, it is proved that their conditional …
Point Processes and spatial statistics in time-frequency analysis
B Pascal, R Bardenet - arXiv preprint arXiv:2402.19172, 2024 - arxiv.org
A finite-energy signal is represented by a square-integrable, complex-valued function $
t\mapsto s (t) $ of a real variable $ t $, interpreted as time. Similarly, a noisy signal is …
t\mapsto s (t) $ of a real variable $ t $, interpreted as time. Similarly, a noisy signal is …
Determinantal point processes
T Weiss, P Ferrari, H Spohn, T Weiss, P Ferrari… - … Brownian Motions in the …, 2017 - Springer
Determinantal point processes are the main tool for the study of reflected Brownian motions.
Thereby marginal distributions can be expressed in terms of Fredholm determinants, a form …
Thereby marginal distributions can be expressed in terms of Fredholm determinants, a form …
Empirical spectral processes and their applications to stationary point processes
M Eichler - The Annals of Applied Probability, 1995 - JSTOR
We consider empirical spectral processes indexed by classes of functions for the case of
stationary point processes. Conditions for the measurability and equicontinuity of these …
stationary point processes. Conditions for the measurability and equicontinuity of these …
Note on the approximation of the conditional intensity of non-stationary cluster point processes
E Gabriel, J Chadoeuf - arXiv preprint arXiv:2110.13738, 2021 - arxiv.org
arXiv:2110.13738v2 [math.ST] 1 Dec 2021 Page 1 Note on the approximation of the conditional
intensity of non-stationary cluster point processes Edith Gabriel1 and Joël Chadœuf …
intensity of non-stationary cluster point processes Edith Gabriel1 and Joël Chadœuf …
[PDF][PDF] The conditional measures for the determinantal point process with the Bergman kernel
AI Bufetov - arXiv preprint arXiv:2112.15557, 2021 - arxiv.org
arXiv:2112.15557v1 [math.PR] 31 Dec 2021 Page 1 arXiv:2112.15557v1 [math.PR] 31 Dec
2021 THE CONDITIONAL MEASURES FOR THE DETERMINANTAL POINT PROCESS WITH …
2021 THE CONDITIONAL MEASURES FOR THE DETERMINANTAL POINT PROCESS WITH …
Brillinger mixing of determinantal point processes and statistical applications
CAN Biscio, F Lavancier - 2016 - projecteuclid.org
Stationary determinantal point processes are proved to be Brillinger mixing. This property is
an important step towards asymptotic statistics for these processes. As an important …
an important step towards asymptotic statistics for these processes. As an important …