Zobrazeno 1 - 10
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pro vyhledávání: '"Dickson, Matthew"'
Autor:
Dickson, Matthew, Heydenreich, Markus
We derive an asymptotic expansion for the critical percolation density of the random connection model as the dimension of the encapsulating space tends to infinity. We calculate rigorously the first expansion terms for the Gilbert disk model, the hyp
Externí odkaz:
http://arxiv.org/abs/2309.08830
Autor:
Caicedo, Alejandro, Dickson, Matthew
Here we prove critical exponents for Random Connections Models (RCMs) with random marks. The vertices are given by a marked Poisson point process on $\mathbb{R}^d$ and an edge exists between any pair of vertices independently with a probability depen
Externí odkaz:
http://arxiv.org/abs/2305.07398
Autor:
Dickson, Matthew C.1 (AUTHOR) matthew-dickson@ouhsc.edu, Skrepnek, Grant H.1 (AUTHOR) grant-skrepnek@ouhsc.edu
Publikováno v:
Journal of Clinical Medicine. Sep2024, Vol. 13 Issue 18, p5361. 12p.
Autor:
Dickson, Matthew, Heydenreich, Markus
We investigate a spatial random graph model whose vertices are given as a marked Poisson process on $\mathbb{R}^d$. Edges are inserted between any pair of points independently with probability depending on the spatial displacement of the two endpoint
Externí odkaz:
http://arxiv.org/abs/2210.07727
Loss functions play an important role in the training of artificial neural networks (ANNs), and can affect the generalisation ability of the ANN model, among other properties. Specifically, it has been shown that the cross entropy and sum squared err
Externí odkaz:
http://arxiv.org/abs/2204.12244
Autor:
Adams, Stefan, Dickson, Matthew
In this paper, we study various models for random combinatorial partitions using large deviation analysis for diverging scale of the reference process. Scaling limits of similar models have been studied recently \cite{FSa,FSb} going back to \cite{Ver
Externí odkaz:
http://arxiv.org/abs/2109.12666
Autor:
Dickson, Matthew, Vogel, Quirin
Publikováno v:
Electronic Journal of Probability 2024
We compute the limiting measure for the Feynman loop representation of the Bose gas for a non mean-field energy. As predicted in previous works, for high densities the limiting measure gives positive weight to random interlacements, indicating the qu
Externí odkaz:
http://arxiv.org/abs/2109.01409
Autor:
Adams, Stefan, Dickson, Matthew
Here we introduce a family of spatial cycle HYL-type models in which the counter-term only affects cycles longer than some cut-off that diverges in the thermodynamic limit. We derive large deviation principles and explicit pressure expressions for th
Externí odkaz:
http://arxiv.org/abs/1912.09544
Autor:
Dickson, Matthew C.1, Skrepnek, Grant H.1 grant-skrepnek@ouhsc.edu
Publikováno v:
COVID. Jan2024, Vol. 4 Issue 1, p13-22. 10p.
Autor:
Adams, Stefan, Dickson, Matthew
This paper studies probabilistic mean-field models for interacting bosons at a positive temperature in the thermodynamic limit with random particle density. In particular, we prove large deviation principles for empirical cycle counts in all our mode
Externí odkaz:
http://arxiv.org/abs/1809.03387