Zobrazeno 1 - 10
of 267
pro vyhledávání: '"Kyprianou, Andreas E."'
Autor:
Crossley, Alastair, Habermann, Karen, Horton, Emma, Koskela, Jere, Kyprianou, Andreas E., Osman, Sarah
Proton beam radiotherapy stands at the forefront of precision cancer treatment, leveraging the unique physical interactions of proton beams with human tissue to deliver minimal dose upon entry and deposit the therapeutic dose precisely at the so-call
Externí odkaz:
http://arxiv.org/abs/2409.06965
Recent fluctuation identities for $\alpha$-stable L\'evy processes have decomposed paths using generalised spherical polar coordinates revealing an underlying Markov Additive Process (MAP) for which a more advanced form of excursion theory can be exp
Externí odkaz:
http://arxiv.org/abs/2407.20394
We consider the setting of either a general non-local branching particle process or a general non-local superprocess, in both cases, with and without immigration. Under the assumption that the mean semigroup has a Perron-Frobenious type behaviour for
Externí odkaz:
http://arxiv.org/abs/2407.05472
Over the last decade, ingenuous developments in Monte Carlo methods have enabled the unbiased estimation of adjoint-weighted reactor parameters expressed as bilinear forms, such as kinetics parameters and sensitivity coefficients. A prominent example
Externí odkaz:
http://arxiv.org/abs/2407.04820
This study presents a proof-of-concept for a novel Bayesian inverse method in a one-dimensional setting, aimed at proton beam therapy treatment verification. Our methodology is predicated on a hypothetical scenario wherein strategically positioned se
Externí odkaz:
http://arxiv.org/abs/2311.10769
We provide a many-to-few formula in the general setting of non-local branching Markov processes. This formula allows one to compute expectations of k-fold sums over functions of the population at k different times. The result generalises [14] to the
Externí odkaz:
http://arxiv.org/abs/2211.08662
Consider a multitype coalescent process in which each block has a colour in $\{1,\ldots,d\}$. Individual blocks may change colour, and some number of blocks of various colours may merge to form a new block of some colour. We show that if the law of a
Externí odkaz:
http://arxiv.org/abs/2103.14638
Autor:
Kyprianou, Andreas E., O'Connell, Neil
Publikováno v:
In: Chaumont L., Kyprianou A.E. (eds) A Lifetime of Excursions Through Random Walks and L\'evy Processes. Progress in Probability, vol 78. Birkh\"auser, Cham, 2021
We re-examine the celebrated Doob--McKean identity that identifies a conditioned one-dimensional Brownian motion as the radial part of a 3-dimensional Brownian motion or, equivalently, a Bessel-3 process, albeit now in the analogous setting of isotro
Externí odkaz:
http://arxiv.org/abs/2103.12179
We consider the classical Yaglom limit theorem for a branching Markov process $X = (X_t, t \ge 0)$, with non-local branching mechanism in the setting that the mean semigroup is critical, i.e. its leading eigenvalue is zero. In particular, we show tha
Externí odkaz:
http://arxiv.org/abs/2103.02237
This paper continues our treatment of the Neutron Transport Equation (NTE) building on the work in [arXiv:1809.00827v2], [arXiv:1810.01779v4] and [arXiv:1901.00220v3], which describes the flux of neutrons through inhomogeneous fissile medium. Our aim
Externí odkaz:
http://arxiv.org/abs/2012.02864