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This book highlights mathematical research interests that appear in real life, such as the study and modeling of random and deterministic phenomena. As such, it provides current research in mathematics, with applications in biological and environmental sciences, ecology, epidemiology and social perspectives. The chapters can be read independently of each other, with dedicated references specific to each chapter. The book is organized in two main parts. The first is devoted to some advanced mathematical problems regarding epidemic models; predictions of biomass; space-time modeling of extreme rainfall; modeling with the piecewise deterministic Markov process; optimal control problems; evolution equations in a periodic environment; and the analysis of the heat equation. The second is devoted to a modelization with interdisciplinarity in ecological, socio-economic, epistemological, demographic and social problems. Mathematical Modeling of Random and Deterministic Phenomena is aimed at expert readers, young researchers, plus graduate and advanced undergraduate students who are interested in probability, statistics, modeling and mathematical analysis.
An increasing number of statistical problems and methods involve infinite-dimensional aspects. This is due to the progress of technologies which allow us to store more and more information while modern instruments are able to collect data much more effectively due to their increasingly sophisticated design. This evolution directly concerns statisticians, who have to propose new methodologies while taking into account such high-dimensional data (e.g. continuous processes, functional data, etc.). The numerous applications (micro-arrays, paleo- ecological data, radar waveforms, spectrometric curves, speech recognition, continuous time series, 3-D images, etc.) in various fields (biology, econometrics, environmetrics, the food industry, medical sciences, paper industry, etc.) make researching this statistical topic very worthwhile. This book gathers important contributions on the functional and operatorial statistics fields.
Geostatistical Functional Data Analysis Explore the intersection between geostatistics and functional data analysis with this insightful new reference Geostatistical Functional Data Analysis presents a unified approach to modelling functional data when spatial and spatio-temporal correlations are present. The Editors link together the wide research areas of geostatistics and functional data analysis to provide the reader with a new area called geostatistical functional data analysis that will bring new insights and new open questions to researchers coming from both scientific fields. This book provides a complete and up-to-date account to deal with functional data that is spatially correlate...
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La visée de cet ouvrage est de donner une visibilité particulière aux situations rencontrées par les mères et les personnes assumant un rôle parental dans le contexte académique pendant et à la suite de la pandémie de COVID-19. Trois axes interreliés et non exclusifs balisent l'ouvrage : la spatialité, les temporalités et l’accès aux réseaux de soutien. Cet ouvrage constitue un important matériel pédagogique pour les cours universitaires touchant aux enjeux d’équité, de diversité et d’inclusion.
The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.
Les héroïnes mathématiciennes ont bouleversé l’humanité, chacune à leur manière. Du XVIIe siècle à nos jours, dans ce livre, ces femmes sont discrètes mais fascinantes. Véritables « Femmes Savantes », elles émergent désormais dans une société soucieuse d’égalité et les réseaux informatiques sont une boîte aux trésors. La liste de ces femmes d’exception se révèle impressionnante dans le temps comme dans l’espace. L’univers est leur domaine d’exploration à travers les mathématiques. Cet ouvrage ne peut que susciter la curiosité envers une matière, les Mathématiques, qui apparaît trop souvent comme un monde obscur, aride et éloigné des réalités. À ...