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Published in 2020 at "Journal of Mathematical Biology"
DOI: 10.1007/s00285-019-01462-0
Abstract: Reaction–diffusion equations have been widely used to describe biological pattern formation. Nonuniform steady states of reaction–diffusion models correspond to stationary spatial patterns supported by these models. Frequently these steady states are not unique and correspond… read more here.
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Published in 2019 at "Annals of Finance"
DOI: 10.1007/s10436-019-00352-1
Abstract: In this paper we propose a method for pricing Asian options in market models with the risky asset dynamics driven by a Hawkes process with exponential kernel. For these processes the couple $$ (\lambda (t),… read more here.
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Published in 2019 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2019.01.001
Abstract: Abstract In this paper we consider the valuation of swing options with the possibility of incorporating spikes in the underlying electricity price. This kind of contracts are modelled as path dependent options with multiple exercise… read more here.
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Published in 2022 at "Energy"
DOI: 10.1016/j.energy.2021.121932
Abstract: Abstract A significant increase in carbon footprint and energy requirements over the decades raised concerns among governments and policymakers. One of the primary contributors to this menace is the automotive sector, which heavily relied on… read more here.
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Published in 2019 at "Stochastic Processes and their Applications"
DOI: 10.1016/j.spa.2018.12.004
Abstract: In this article we present a construction of a family particle systems that converge after scaling to the solution a non-linear SDE of Reaction-Diffusion type. read more here.
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Published in 2020 at "Journal of Geophysical Research"
DOI: 10.1029/2019ja027254
Abstract: Many modern outer radiation belt models simulate the long‐time behavior of high‐energy electrons by solving a three‐dimensional Fokker‐Planck equation for the drift‐ and bounce‐averaged electron phase space density that includes radial, pitch‐angle, and energy diffusion.… read more here.
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Published in 2017 at "Quantitative Finance"
DOI: 10.1080/14697688.2016.1262054
Abstract: Nonparametric regression has recently become important in quantitative finance due to its distribution-free property. However, this advantage does not come without any cost. As large sample sizes are always required to adequately estimate local structures,… read more here.
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Published in 2017 at "Journal of Occupational and Environmental Hygiene"
DOI: 10.1080/15459624.2016.1238476
Abstract: ABSTRACT The use of the turbulent eddy diffusion model and its variants in exposure assessment is limited due to the lack of knowledge regarding the isotropic eddy diffusion coefficient, DT. But some studies have suggested… read more here.
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Published in 2020 at "Systematic biology"
DOI: 10.1093/sysbio/syaa051
Abstract: We describe a new and computationally efficient Bayesian methodology for inferring species trees and demographics from unlinked binary markers. Likelihood calculations are carried out using diffusion models of allele frequency dynamics combined with novel numerical… read more here.
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Published in 2022 at "IEEE transactions on pattern analysis and machine intelligence"
DOI: 10.1109/tpami.2023.3261988
Abstract: Denoising diffusion models represent a recent emerging topic in computer vision, demonstrating remarkable results in the area of generative modeling. A diffusion model is a deep generative model that is based on two stages, a… read more here.
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Published in 2018 at "Mathematical Models and Methods in Applied Sciences"
DOI: 10.1142/s0218202518020025
Abstract: A presentation of a special issue on the derivation of cross-diffusion models and on the related analytical problems is proposed in this note. A brief introduction to motivations and recently publi... read more here.