752 research outputs found
Tragödie im nördlichen Harzvorland?Anthropologische Bearbeitung und Interpretationdes eisenzeitlichen Massengrabes von Wester-hausen, Ldkr. Quedlinburg
No full textBei den bauvorbereitenden Ausgrabungen an der Trasse für die neue Bundesstraße B6n konnte 2oo3 nahe der Ortschaft Westerhausen, Ldkr. Quedlinburg, ein Aufsehen erregender Befund freigelegt werden: In einer annähernd runden Grube lagen die gut erhaltenen Skelette mehrerer Menschen in zum Teil unnatürlichen Körperhaltungen über- und nebeneinander (Jacobi u. a. 2oo7).
Anhand einiger weniger mit einem der Skelette assoziierter Artefakte konnte der Befund in die frühe vorrömische Eisenzeit datiert werden
q-Differential equations for q-classical polynomials and q-Jacobi-Stirling numbers
No full textWe introduce, characterise and provide a combinatorial interpretation for the so-called q-Jacobi–Stirling numbers.
This study is motivated by their key role in the (reciprocal) expansion of any power of a second order
q-differential operator having the q-classical polynomials as eigenfunctions in terms of other even order operators,
which we explicitly construct in this work. The results here obtained can be viewed as the q-version of
those given by Everitt et al. and by the first author, whilst the combinatorics of this new set of numbers is a
q-version of the Jacobi–Stirling numbers given by Gelineau and the second author
Well-posedness of Hamilton–Jacobi equations in population dynamics and applications to large deviations
No full textWe prove Freidlin–Wentzell type large deviation principles for various rescaled models in populations dynamics that have immigration and possibly harvesting: birth–death processes, Galton–Watson trees, epidemic SI models, and prey–predator models. The proofs are carried out using a general analytic approach based on the well-posedness of a class of associated Hamilton–Jacobi equations. The notable feature for these Hamilton–Jacobi equations is that the Hamiltonian can be discontinuous at the boundary. We prove a well-posedness result for a large class of Hamilton–Jacobi equations corresponding to one-dimensional models, and give partial results for the multi-dimensional setting.Accepted Author ManuscriptApplied Probabilit
Maximum Principle for Boundary Control Problems Arising in Optimal Investment with Vintage Capital
No full textThe paper concerns the study of the Pontryagin Maximum Principle for an infinite dimensional and infinite horizon boundary control problem for linear partial differential equations. The optimal control model has already been studied both in finite and infinite horizon with Dynamic Programming methods in a series of papers by the same author et al. [26, 27, 28, 29, 30]. Necessary and sufficient optimality conditions for open loop controls are established. Moreover the co-state variable is shown to coincide with the spatial gradient of the value function evaluated along the trajectory of the system, creating a parallel between Maximum Principle and Dynamic Programming. The abstract model applies, as recalled in one of the first sections, to optimal investment with vintage capital.Linear convex control, Boundary control, Hamilton–Jacobi–Bellman equations, Optimal investment problems, Vintage capital
Limit Theorems for β-Laguerre and β-Jacobi Ensembles
No full textWe use tridiagonal models to study the limiting behavior of β-Laguerre and β-Jacobi ensembles, focusing on the limiting behavior of the extremal eigenvalues and the central limit theorem for the two ensembles. For the central limit theorem of β-Laguerre ensembles, we follow the idea in [1] while giving a modified version for the generalized case. Then we use the total variation distance between the two sorts of ensembles to obtain the limiting behavior of β-Jacobi ensembles.Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.Discrete Mathematics and Optimizatio
Dirichlet form analysis of the Jacobi process
No full textWe construct and analyze the Jacobi process – in mathematical biology referred to as Wright–Fisher diffusion – using a Dirichlet form. The corresponding Dirichlet space takes the form of a Sobolev space with different weights for the function itself and its derivative and can be rewritten in a canonical form for strongly local Dirichlet forms in one dimension. Additionally to the statements following from the general theory on these forms, we obtain orthogonal decompositions of the Dirichlet space, derive Sobolev embeddings, verify functional inequalities of Hardy type and analyze the long time behavior of the associated semigroup. We deduce corresponding properties of the Markov process and show that it is up to minor technical modifications a solution to the Jacobi SDE. We also provide uniqueness statements for this SDE, such that properties of general solutions follow.Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.Analysi
Jacobi polynomen en representaties van SU(2)
No full textIn deze scriptie beginnen we met het opbouwen van wat algemene Lie-theorie. Om dat te doen leggen we eerst uit wat variëteiten zijn. Ook zullen we enkele eigenschappen van matrix Lie groepen en Lie algebra's bestuderen. Daarna definiëren we Jacobi polynomen door middel van hypergeometrische reeksen. Ook zullen we een aantal eigenschappen van Jacobi polynomen, op een analytische manier, afleiden. In hoofdstuk 4 introduceren we representatietheorie. We zullen laten zien hoe Jacobi polynomen terug zijn te vinden in de representaties van SU(2). Ook bekijken we wat het verband is tussen SU(2) en Schurs orthogonaliteitsrelaties. Vervolgens bekijken we hoe representatietheorie van SU(2) binnen de Lie-theorie past en zullen daarmee enkele eigenschappen voor Jacobi polynomen afleiden.Industrial and Applied MathematicsApplied mathematicsElectrical Engineering, Mathematics and Computer Scienc
Spherical and Cherednik-Opdam transforms of Jacobi-type polynomials
No full textThe spherical transform maps the orthogonal basis of symmetric Jacobi-type polynomials to an orthogonal basis of (symmetric) Wilson polynomials. The spherical transform is closely related to the Cherednik-Opdam transform, as it is essentially its symmetric version. The symmetric Jacobi-type polynomials can be composed from the non-symmetric Jacobi-type polynomials. These relations, between the symmetric and non-symmetric theory, give an incentive to consider the Cherednik-Opdam transform of non-symmetric Jacobi-type polynomials. This work gives an overview of the symmetric theory about the spherical transform of Jacobi-type polynomials and lays down the groundwork for the Cherednik-Opdam transform of the non-symmetric Jacobi-type polynomials
Reduction of Jacobi manifolds
No full textA reduction procedure for Jacobi manifolds is described in the algebraic setting of Jacobi algebras. As applications, reduction by arbitrary submanifolds, distributions and the reduction of Jacobi manifolds with symmetry are discussed. This generalized reduction procedure extends the well known reduction procedures for symplectic, Poisson, contact and co-symplectic structures. c 1997 IOP Publishing LtdThe author AI wishes to acknowledge the partial financial support provided by DGICYT under the programme PB92-0197 as well as the NATO collaborative research grant 940195. The author ML acknowledges the partical finantial support provided by DGICYT project PB94-0106.Peer Reviewe
Al-Sakhāwī, a biographer from Mamlūk Cairo and his <i>Dictionary of women</i>:studies by Renate Jacobi
No full textThe volume presents Renate Jacobi’s studies on the historian ʿAbd al-Raḥmān al-Sakhāwī (d. 902/1497) and his biographical dictionary al-Ḍawʾ al-lāmiʿ li-ahl al-qarn al-tāsiʿ with the special focus on the biographies of women. Al-Sakhāwī’s dictionary is exceptional in the history of classical Arabic biographical literature. Its twelfth and final volume featuring 1075 numbered biographical entries is devoted exclusively to women many of whom were known by the author in person. Renate Jacobi examines the life of al-Sakhāwī and analyzes his dictionary as a unique source for studying the social role of women in the Mamlūk period, their chances of taking up public space, and making a career of their own. The texts of the chapters in this volume have been adopted from previous publications by Renate Jacobi in different journals and edited volumes with some editorial modifications, additions and bibliographical updates. Two studies, “The Scholar and the Poetess: A Friendship of the Heart in Mamlūk Egypt” and “Women in the Endowment System of the Mamlūk Period,” are being published in English for the first time. The volume is a window onto the intriguing, fascinating, and very informative world of classical Arabic biographical literature
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